Trowbridge-Reitz Sample, near normal, slope_x

Time bar (total: 15.2s)

analyze265.0ms (1.7%)

Memory
-24.9MiB live, 376.3MiB 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)

sample2.4s (16%)

Memory
-34.7MiB live, 2 573.8MiB allocated
Samples
2.0s8 256×0valid
1.0ms0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-<=: 502.0ms (30.1% of total)
const: 456.0ms (27.4% of total)
ival-cos: 205.0ms (12.3% of total)
ival-div: 135.0ms (8.1% of total)
ival-mult: 125.0ms (7.5% of total)
ival-sqrt: 93.0ms (5.6% of total)
ival-sub: 88.0ms (5.3% of total)
ival-and: 30.0ms (1.8% of total)
ival->: 24.0ms (1.4% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess49.0ms (0.3%)

Memory
5.4MiB live, 43.1MiB allocated
Algorithm
egg-herbie
Rules
138×sub-neg
100×associate-*l*
80×distribute-lft-in
78×*-commutative
74×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036106
178104
2128104
3215102
4361102
5611102
6775102
7871102
8910102
9930102
10934102
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))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Symmetry

(abs u2)

(abs cosTheta_i)

explain168.0ms (1.1%)

Memory
-13.9MiB live, 263.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f32 #s(literal 1 binary32) u1)
00-0-u2
00-0-#s(literal 1 binary32)
00-0-#s(literal 314159265359/50000000000 binary32)
00-0-(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
00-0-u1
00-0-(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
00-0-(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
00-0-(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
00-0-(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
52.0ms512×0valid
Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
const: 11.0ms (30.8% of total)
ival-mult: 7.0ms (19.6% of total)
ival-cos: 6.0ms (16.8% of total)
ival-div: 5.0ms (14% of total)
ival-sqrt: 4.0ms (11.2% of total)
ival-sub: 3.0ms (8.4% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
36×lower-+.f64
36×lower-+.f32
26×sub-neg
26×lower--.f64
24×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
12236
22636
33136
43836
54836
66336
78636
810836
911636
1011836
011836
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize37.0ms (0.2%)

Memory
0.6MiB live, 79.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.4%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.0%
(*.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: 17.0ms
const: 5.0ms (29.2% of total)
ival-mult: 3.0ms (17.5% of total)
ival-cos: 3.0ms (17.5% of total)
ival-div: 2.0ms (11.7% of total)
ival-sqrt: 2.0ms (11.7% of total)
ival-sub: 1.0ms (5.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-25.5MiB live, 16.5MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (-.f32 #s(literal 1 binary32) u1)>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
Outputs
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 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 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<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 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<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)>
Calls

18 calls:

TimeVariablePointExpression
3.0ms
u1
@-inf
(sqrt (/ u1 (- 1 u1)))
1.0ms
u1
@inf
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u1
@0
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@-inf
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

rewrite273.0ms (1.8%)

Memory
28.9MiB live, 422.2MiB 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
01028
01628
14628
223728
3195328
0969228
Stop Event
iter limit
node limit
iter limit
Counts
5 → 520
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Outputs
(pow.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (*.f32 (cos.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(/.f32 (cos.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))))
(/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (cos.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (cos.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) (cos.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)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (cos.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 (cos.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 (cos.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 (cos.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 (cos.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) (cos.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)) (cos.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)) (cos.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.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 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.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 #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (pow.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 #s(literal -1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

simplify486.0ms (3.2%)

Memory
-43.2MiB live, 740.2MiB allocated
Algorithm
egg-herbie
Rules
21 824×lower-fma.f64
21 824×lower-fma.f32
6 728×lower-*.f64
6 728×lower-*.f32
4 106×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0180906
1523815
21543747
34760699
08231673
Stop Event
iter limit
node limit
Counts
72 → 71
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 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 (/ (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)))
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)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* 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)
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.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) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (cos.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 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.f32 #s(literal -3/8 binary32) (/.f32 #s(literal -5/16 binary32) u1)) (*.f32 (cos.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)))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(*.f32 (*.f32 (cos.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 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (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 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 (*.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 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))))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (fma.f32 u1 (/.f32 #s(literal -1/4 binary32) u1) u1) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) 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))))))
(*.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 #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
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 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)

eval61.0ms (0.4%)

Memory
22.2MiB live, 138.0MiB allocated
Compiler

Compiled 16 095 to 2 490 computations (84.5% saved)

prune149.0ms (1%)

Memory
-2.6MiB live, 242.5MiB allocated
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New56625591
Fresh000
Picked011
Done000
Total56626592
Accuracy
99.9%
Counts
592 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
87.6%
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
84.1%
(*.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
86.3%
(*.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
82.3%
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.9%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.9%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (neg.f32 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
94.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.6%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Compiler

Compiled 1 128 to 731 computations (35.2% saved)

simplify499.0ms (3.3%)

Memory
-4.2MiB live, 1 032.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff160
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
cost-diff352
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff608
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
cost-diff896
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
cost-diff0
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff352
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(-.f32 #s(literal 1 binary32) u1)
cost-diff0
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff0
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff0
(/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
cost-diff0
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
Rules
26 778×lower-fma.f64
26 774×lower-fma.f32
2 786×lower-*.f64
2 770×lower-*.f32
2 496×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038405
071305
1127301
2262294
3838275
43088274
57186274
08484271
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(fma.f32 u1 u1 u1)
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
#s(literal -1 binary32)
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 u1 #s(literal 1 binary32))
u1
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(+.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) #s(literal 1 binary32)))
(neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(*.f32 u1 (fma.f32 u1 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(fma.f32 u1 u1 u1)
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(fma.f32 u1 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 u1 (-.f32 #s(literal -1 binary32) u1))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
#s(literal 0 binary32)
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
#s(literal 1 binary32)
(+.f32 u1 #s(literal 1 binary32))
u1
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize190.0ms (1.3%)

Memory
-0.3MiB live, 320.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
accuracy99.7%
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
accuracy99.7%
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
accuracy99.4%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy99.8%
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy99.6%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
accuracy99.4%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy100.0%
(-.f32 #s(literal 1 binary32) u1)
accuracy99.7%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy99.5%
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy99.7%
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
accuracy99.4%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.3%
(*.f32 u1 (*.f32 u1 u1))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
113.0ms256×0valid
Compiler

Compiled 430 to 42 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 51.0ms (57.2% of total)
ival-div: 10.0ms (11.2% of total)
ival-add: 8.0ms (9% of total)
ival-sqrt: 8.0ms (9% of total)
const: 4.0ms (4.5% of total)
ival-cos: 3.0ms (3.4% of total)
ival-sub: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series32.0ms (0.2%)

Memory
14.5MiB live, 52.5MiB allocated
Counts
23 → 312
Calls
Call 1
Inputs
#<alt (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))>
#<alt (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))>
#<alt (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))>
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (-.f32 #s(literal 1 binary32) u1)>
#<alt (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))>
#<alt (fma.f32 u1 (fma.f32 u1 u1 u1) u1)>
#<alt (fma.f32 u1 u1 u1)>
#<alt (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))>
#<alt (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))>
#<alt (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))>
#<alt (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))>
#<alt (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (*.f32 u1 (*.f32 u1 u1))>
#<alt (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))>
Outputs
#<alt -1>
#<alt (- (pow u1 3) 1)>
#<alt (- (pow u1 3) 1)>
#<alt (- (pow u1 3) 1)>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (* (pow u1 3) (- 1 (/ 1 (pow u1 3))))>
#<alt (pow u1 3)>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))>
#<alt (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1)))))>
#<alt (+ (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))))))>
#<alt (+ (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))))))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))>
#<alt (+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<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 (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 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<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 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* -1 u1))>
#<alt (* -1 u1)>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* u1 (- (/ 1 u1) 1))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (- 1 (/ 1 u1))))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))>
#<alt (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/8 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))>
#<alt (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))>
#<alt (+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))>
#<alt (+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))>
#<alt (+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))>
#<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 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))>
#<alt (sqrt (pow u1 3))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))>
#<alt (pow u1 3)>
#<alt (* (pow u1 3) (+ 1 (/ 1 u1)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))>
#<alt (* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<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 -1>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))>
#<alt (+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))>
#<alt (+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))>
#<alt (+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))>
#<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 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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt u1>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* u1 (- u1 1))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 u1))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))>
#<alt 1>
#<alt (- 1 (/ 1 u1))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))>
#<alt -1>
#<alt (- (* 2 u1) 1)>
#<alt (- (* u1 (+ 2 (* -2 u1))) 1)>
#<alt (- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))>
#<alt (- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 u1)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))>
#<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 (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 1>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))>
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt 1>
#<alt (+ 1 (* -1 u1))>
#<alt (+ 1 (* u1 (- u1 1)))>
#<alt (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))>
#<alt (/ 1 u1)>
#<alt (/ (- 1 (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)>
#<alt (/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)>
#<alt (/ 1 u1)>
#<alt (* -1 (/ (- (/ 1 u1) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))>
Calls

78 calls:

TimeVariablePointExpression
7.0ms
u2
@inf
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (cos (* 314159265359/50000000000 u2)))
3.0ms
u1
@-inf
(sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))))
2.0ms
u2
@0
(* (sqrt (/ (neg (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ -1 (* u1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2)))
2.0ms
u2
@inf
(* (sqrt (/ (neg (+ (* u1 (+ (* u1 u1) u1)) u1)) (+ -1 (* u1 (* u1 u1))))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u2
@inf
(* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2)))

rewrite366.0ms (2.4%)

Memory
16.8MiB live, 650.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 152×lower-/.f64
5 140×lower-/.f32
3 650×lower-fma.f64
3 646×lower-fma.f32
3 190×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036226
067188
1259169
21905169
08408168
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 001
Calls
Call 1
Inputs
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(fma.f32 u1 u1 u1)
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u1 (*.f32 u1 u1))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
Outputs
(+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(+.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32))
(fma.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) (-.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32))) (neg.f32 (fma.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (neg.f32 (*.f32 u1 (*.f32 u1 u1)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 (-.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)))
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))))) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(/.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (-.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1))))))) (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (fma.f32 (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 (*.f32 u1 (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 u1)))) (-.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))))))
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(*.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)))
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(/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(/.f32 (neg.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (*.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (*.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
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(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))) (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1)))))
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))))))
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal 3 binary32)) (*.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) u1) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) u1))
(*.f32 (+.f32 #s(literal -1 binary32) u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (+.f32 #s(literal -1 binary32) u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (+.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (*.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 (+.f32 #s(literal -1 binary32) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 3/2 binary32)))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (pow.f32 u1 #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 3 binary32))
(*.f32 u1 (*.f32 u1 u1))
(*.f32 (*.f32 u1 u1) u1)
(*.f32 (*.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))
(*.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (pow.f32 u1 #s(literal 3/2 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal -1 binary32)))
(pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal -1 binary32))
(-.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
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(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) u1))
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(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32)))

simplify444.0ms (2.9%)

Memory
0.4MiB live, 1 060.1MiB allocated
Algorithm
egg-herbie
Rules
16 020×lower-fma.f64
16 020×lower-fma.f32
6 382×lower-*.f64
6 382×lower-*.f32
5 102×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04504156
113803679
243913391
080793152
Stop Event
iter limit
node limit
Counts
312 → 305
Calls
Call 1
Inputs
-1
(- (pow u1 3) 1)
(- (pow u1 3) 1)
(- (pow u1 3) 1)
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(pow u1 3)
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1)))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))))))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (- (pow u1 3) 1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
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(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(sqrt -1)
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u1
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(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
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(* -1 (+ 1 (/ 1 u1)))
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(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sqrt u1)
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(+ (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)
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(- (+ (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)
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(+ (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)))
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)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/8 (* (sqrt u1) (/ (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(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 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
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)
-1
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(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)))
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)
0
0
0
0
0
0
0
0
0
0
0
0
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
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -2 u1))) 1)
(- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
(* 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)
(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)
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
(cos (* 314159265359/50000000000 u2))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/ 1 u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
Outputs
-1
#s(literal -1 binary32)
(- (pow u1 3) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(- (pow u1 3) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(- (pow u1 3) 1)
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(* (pow u1 3) (- 1 (/ 1 (pow u1 3))))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
(pow u1 3)
(*.f32 u1 (*.f32 u1 u1))
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 3)) 1)))
(fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))
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(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(fma.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
(fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) u1)) u1))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) u1)) u1)) 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)
(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))
1
#s(literal 1 binary32)
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (- u1 1)))
(fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1 binary32))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (- 1 (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/.f32 (-.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)) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(/.f32 (-.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)) u1)

eval179.0ms (1.2%)

Memory
24.3MiB live, 601.4MiB allocated
Compiler

Compiled 52 410 to 5 778 computations (89% saved)

prune303.0ms (2%)

Memory
-10.6MiB live, 770.8MiB allocated
Pruning

42 alts after pruning (39 fresh and 3 done)

PrunedKeptTotal
New1 659271 686
Fresh81220
Picked325
Done011
Total1 670421 712
Accuracy
99.9%
Counts
1 712 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.1%
(fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
92.9%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
68.3%
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
78.2%
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
78.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
84.1%
(*.f32 (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.6%
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.6%
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
98.1%
(*.f32 (pow.f32 (pow.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.6%
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
81.9%
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.9%
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
80.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.6%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
87.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
78.2%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
94.4%
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.6%
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
73.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.1%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
70.6%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
68.1%
(sqrt.f32 (fma.f32 u1 u1 u1))
78.5%
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
78.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
78.5%
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
78.3%
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
61.0%
(sqrt.f32 u1)
Compiler

Compiled 1 633 to 1 016 computations (37.8% saved)

simplify410.0ms (2.7%)

Memory
9.6MiB live, 761.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
cost-diff0
(*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1))
cost-diff0
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff0
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff0
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
cost-diff64
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff352
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
cost-diff0
(*.f32 u1 u1)
cost-diff0
(*.f32 u1 (*.f32 u1 u1))
cost-diff0
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
cost-diff0
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
cost-diff0
(sqrt.f32 u1)
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 u1 u1))
cost-diff0
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Rules
20 974×lower-fma.f64
20 962×lower-fma.f32
2 992×lower-*.f64
2 976×lower-*.f32
2 764×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036260
068254
1130254
2302251
3777239
42008236
53661236
67692236
08424235
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt.f32 u1)
u1
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 u1 u1))
u1
(*.f32 u1 u1)
#s(literal 1/2 binary32)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(fma.f32 u1 u1 u1)
u1
#s(literal 1 binary32)
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
Outputs
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt.f32 u1)
u1
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 u1 u1))
u1
(*.f32 u1 u1)
#s(literal 1/2 binary32)
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
#s(literal 1 binary32)
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

localize168.0ms (1.1%)

Memory
7.3MiB live, 199.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.4%
(sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.8%
(*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1))
accuracy99.7%
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
accuracy99.5%
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
accuracy99.4%
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy99.4%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.7%
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
accuracy99.3%
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
accuracy99.3%
(*.f32 u1 (*.f32 u1 u1))
accuracy100.0%
(sqrt.f32 u1)
accuracy99.6%
(sqrt.f32 (fma.f32 u1 u1 u1))
accuracy99.6%
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
accuracy99.4%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Samples
106.0ms256×0valid
Compiler

Compiled 290 to 44 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 38.0ms (46.2% of total)
const: 16.0ms (19.4% of total)
ival-sqrt: 10.0ms (12.1% of total)
ival-add: 9.0ms (10.9% of total)
ival-div: 4.0ms (4.9% of total)
ival-cos: 3.0ms (3.6% of total)
ival-neg: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.2%)

Memory
2.0MiB live, 39.0MiB allocated
Counts
20 → 276
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))>
#<alt (sqrt.f32 (fma.f32 u1 u1 u1))>
#<alt (fma.f32 u1 u1 u1)>
#<alt (sqrt.f32 u1)>
#<alt (fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))>
#<alt (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))>
#<alt (*.f32 u1 (*.f32 u1 u1))>
#<alt (*.f32 u1 u1)>
#<alt (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))>
#<alt (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))>
#<alt (*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))>
#<alt (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))>
#<alt (*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1))>
#<alt (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))>
#<alt (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))>
#<alt (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))>
Outputs
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))>
#<alt (+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))>
#<alt (+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))>
#<alt (+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))>
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#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))>
#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ (sqrt -1) (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))>
#<alt (* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ (sqrt -1) (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 6)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))>
#<alt (+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))>
#<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 u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))>
#<alt (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))>
#<alt (* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))>
#<alt (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))>
#<alt (+ (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (pow u2 2))))>
#<alt (+ (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (pow u2 2))))))>
#<alt (+ (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))))))))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 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 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))>
#<alt (sqrt (pow u1 3))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))>
#<alt (* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))>
#<alt (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))>
#<alt (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* u1 (+ 1/2 (* 3/8 u1))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* -3/16 u1))))))>
#<alt u1>
#<alt (* u1 (+ 1 (* 1/2 (/ 1 u1))))>
#<alt (* u1 (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))>
#<alt (* u1 (- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))) (* 3/16 (/ 1 (pow u1 3)))))>
#<alt (* -1 u1)>
#<alt (* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))>
#<alt (* -1 (* u1 (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))))>
#<alt (* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 u1))) u1)) 1/2) u1)))))>
#<alt 1>
#<alt (+ 1 u1)>
#<alt (+ 1 (* u1 (+ 1 u1)))>
#<alt (+ 1 (* u1 (+ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))>
#<alt (* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))>
#<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 -98696044010906577398881/5000000000000000000000>
#<alt (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)>
#<alt (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)>
#<alt (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt (* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))>
#<alt 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000>
#<alt (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
u1
@-inf
(sqrt u1)
1.0ms
u1
@0
(* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (+ (* (* u2 u2) (+ (* (* u2 u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) 1))
1.0ms
u2
@inf
(* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (+ (* (* u2 u2) (+ (* (* u2 u2) (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) 1))
1.0ms
u2
@inf
(* (/ (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 (neg u1)) 1))) (cos (* 314159265359/50000000000 u2)))
1.0ms
u1
@0
(sqrt (+ (* u1 u1) u1))

rewrite499.0ms (3.3%)

Memory
-4.1MiB live, 592.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 316×lower-fma.f64
6 304×lower-fma.f32
4 386×lower-*.f64
4 370×lower-*.f32
4 038×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036179
068168
1254164
21858164
08768162
Stop Event
iter limit
node limit
iter limit
Counts
20 → 709
Calls
Call 1
Inputs
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(sqrt.f32 u1)
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))
(*.f32 u1 (*.f32 u1 u1))
(*.f32 u1 u1)
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
Outputs
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (/.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(*.f32 (fma.f32 (*.f32 u2 (*.f32 u2 u2)) (*.f32 (*.f32 u2 (*.f32 u2 u2)) #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(*.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))

simplify375.0ms (2.5%)

Memory
-3.9MiB live, 668.3MiB allocated
Algorithm
egg-herbie
Rules
11 400×lower-fma.f64
11 400×lower-fma.f32
6 844×lower-*.f64
6 844×lower-*.f32
3 370×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05144630
116813883
259893556
080783268
Stop Event
iter limit
node limit
Counts
276 → 272
Calls
Call 1
Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(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 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 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
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(* -1 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(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)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(* 1/2 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(* 1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (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)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
(pow u1 2)
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)
-1
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1/2 (* (sqrt (pow u1 3)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))))
(+ (* (sqrt u1) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))) (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))))))
(* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* 3/8 (/ (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (pow u1 2))) (+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(+ (* 5/16 (/ (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (pow u1 3))) (+ (* 3/8 (/ (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (pow u1 2))) (+ (* 1/2 (/ (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))
(* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1 (/ (+ (* 1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (sqrt -1)))) (* 1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (sqrt -1))) (* -1/2 (/ (* (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1)))) u1)) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
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(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 6) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ (sqrt -1) (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ (sqrt -1) (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 6)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 6) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ (sqrt -1) (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ (sqrt -1) (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 6)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(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 u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
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(* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (cos (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (cos (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(* (sqrt (pow u1 3)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* (sqrt (/ 1 u1)) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))))
(sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))
(+ (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (pow u2 2))))
(+ (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (pow u2 2))))))
(+ (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (* u1 (+ 1 (+ u1 (pow u1 2)))))))))))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (* u1 (+ 1 (+ u1 (pow u1 2))))) (cos (* 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 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt u1) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* -3/16 u1))))))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* u1 (- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))) (* 3/16 (/ 1 (pow u1 3)))))
(* -1 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 u1))) u1)) 1/2) u1)))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* 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)
-98696044010906577398881/5000000000000000000000
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(*.f32 (cos.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) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1/2 binary32) (*.f32 u1 u1)))) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) u1) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1))) u1) (*.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (+.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))))
(fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(+ (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))))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 1/2 binary32))) (*.f32 (*.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (sqrt.f32 u1))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (/.f32 #s(literal -3/8 binary32) (*.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) 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)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -5/16 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1)) u1))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 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))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 1/16 binary32) (*.f32 u1 u1) #s(literal 1/2 binary32)))) (sqrt.f32 u1))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(+.f32 u1 #s(literal 1/2 binary32))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
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(* u1 (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
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(* u1 (- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))) (* 3/16 (/ 1 (pow u1 3)))))
(+.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -3/16 binary32) (*.f32 u1 (*.f32 u1 u1)))))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(* -1 (* u1 (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))))
(fma.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))) #s(literal -1/2 binary32))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 3/16 (/ 1 u1))) u1)) 1/2) u1)))))
(fma.f32 u1 (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal -3/16 binary32) u1)) u1)) u1) (neg.f32 u1))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))
(* (pow u1 2) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))
(* 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)
-98696044010906577398881/5000000000000000000000
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 u2 (*.f32 u2 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(*.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) (+.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (-.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 u2 u2))))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(*.f32 (*.f32 u2 u2) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2))))

eval125.0ms (0.8%)

Memory
-8.8MiB live, 289.6MiB allocated
Compiler

Compiled 37 139 to 3 410 computations (90.8% saved)

prune269.0ms (1.8%)

Memory
-8.9MiB live, 464.8MiB allocated
Pruning

72 alts after pruning (68 fresh and 4 done)

PrunedKeptTotal
New1 128421 170
Fresh82634
Picked415
Done033
Total1 140721 212
Accuracy
99.9%
Counts
1 212 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) u2) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
68.3%
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
83.1%
(fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
92.9%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.7%
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
92.5%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
59.4%
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
92.9%
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
80.9%
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
78.2%
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
78.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
92.9%
(+.f32 (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
92.9%
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
87.6%
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.6%
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
98.4%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
98.7%
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.5%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 u1 u1)) #s(literal 1/2 binary32))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
87.7%
(*.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.9%
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
86.6%
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
85.4%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
83.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
80.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
83.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
87.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
78.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
20.3%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
78.2%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
90.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
90.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
78.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 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)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
4.7%
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
61.0%
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
73.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.1%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
70.6%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
68.1%
(sqrt.f32 (fma.f32 u1 u1 u1))
78.5%
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
78.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
78.5%
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
78.3%
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
61.0%
(sqrt.f32 u1)
Compiler

Compiled 3 568 to 2 084 computations (41.6% saved)

simplify339.0ms (2.2%)

Memory
28.8MiB live, 271.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f32 u1 #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
cost-diff0
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
cost-diff352
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 u1 u1))
cost-diff0
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
cost-diff0
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
cost-diff0
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
cost-diff0
(fma.f32 u1 u1 u1)
cost-diff0
(sqrt.f32 (fma.f32 u1 u1 u1))
cost-diff352
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff608
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
cost-diff896
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
cost-diff1088
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
Rules
10 436×lower-fma.f64
10 412×lower-fma.f32
3 574×lower-*.f64
3 550×lower-*.f32
1 586×lower-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
057635
0116648
1253636
2607630
31878455
46365454
08096454
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 u1 #s(literal 1 binary32))
u1
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(+.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(*.f32 u1 u1)
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 u1 u1 #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
(/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(fma.f32 u1 u1 u1)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
#s(literal 1 binary32)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
u2
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 u2 u2)
(fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
Outputs
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 u1 (-.f32 #s(literal -1 binary32) u1))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
#s(literal 0 binary32)
#s(literal 0 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
u1
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
(+.f32 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(*.f32 u1 u1)
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
(/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
u1
(fma.f32 u1 u1 u1)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
#s(literal 1 binary32)
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(fma.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
u1
#s(literal 1 binary32)
(sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))
(neg.f32 u1)
(*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
u2
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 u2 u2)
(fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 u1 u1 u1)

localize425.0ms (2.8%)

Memory
-17.4MiB live, 331.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
accuracy99.1%
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
accuracy98.8%
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
accuracy98.7%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
accuracy99.6%
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
accuracy99.5%
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
accuracy99.4%
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy99.4%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
accuracy99.7%
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
accuracy99.6%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
accuracy99.4%
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
accuracy99.4%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
accuracy100.0%
(fma.f32 u1 u1 u1)
accuracy99.6%
(sqrt.f32 (fma.f32 u1 u1 u1))
accuracy99.0%
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy98.9%
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
accuracy98.9%
(/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))
accuracy98.6%
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
Samples
219.0ms256×0valid
Compiler

Compiled 711 to 71 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-div: 67.0ms (34.6% of total)
const: 58.0ms (30% of total)
ival-mult: 33.0ms (17% of total)
ival-add: 18.0ms (9.3% of total)
ival-sqrt: 12.0ms (6.2% of total)
ival-cos: 3.0ms (1.5% of total)
ival-sub: 1.0ms (0.5% of total)
ival-neg: 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)

series43.0ms (0.3%)

Memory
20.2MiB live, 58.2MiB allocated
Counts
25 → 360
Calls
Call 1
Inputs
#<alt (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))>
#<alt (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))>
#<alt (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))>
#<alt (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))>
#<alt (sqrt.f32 (fma.f32 u1 u1 u1))>
#<alt (fma.f32 u1 u1 u1)>
#<alt (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))>
#<alt (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))>
#<alt (fma.f32 u1 (fma.f32 u1 u1 u1) u1)>
#<alt (*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))>
#<alt (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))>
#<alt (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))>
#<alt (fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))>
#<alt (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))>
#<alt (+.f32 u1 #s(literal 1 binary32))>
#<alt (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))>
#<alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))>
#<alt (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))>
#<alt (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))>
#<alt (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))>
#<alt (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))>
#<alt (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))>
#<alt (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))>
Outputs
#<alt -1>
#<alt (- (* 2 u1) 1)>
#<alt (- (* u1 (+ 2 (* -2 u1))) 1)>
#<alt (- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)>
#<alt 1>
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#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))>
#<alt (+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))>
#<alt (+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))))>
#<alt (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))>
#<alt (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))>
#<alt (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))>
#<alt (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))>
#<alt (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))>
#<alt (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* 1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1))) (* -1/2 (/ (* (pow u2 2) (* (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))>
Calls

90 calls:

TimeVariablePointExpression
5.0ms
u2
@-inf
(+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)
3.0ms
u1
@inf
(* u2 (* (* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 (neg u1)) 1)))))
3.0ms
u1
@inf
(* (* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 (neg u1)) 1))))
2.0ms
u1
@inf
(+ (* (sqrt (+ u1 1)) (sqrt (/ u1 (+ (* u1 (neg u1)) 1)))) (* u2 (* (* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 (neg u1)) 1))))))
1.0ms
u1
@0
(+ (* (sqrt (+ u1 1)) (sqrt (/ u1 (+ (* u1 (neg u1)) 1)))) (* u2 (* (* u2 (+ (* (* u2 u2) (+ (* u2 (* u2 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) -98696044010906577398881/5000000000000000000000)) (sqrt (/ (+ (* u1 u1) u1) (+ (* u1 (neg u1)) 1))))))

rewrite366.0ms (2.4%)

Memory
-11.1MiB live, 425.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 682×lower-fma.f64
4 658×lower-fma.f32
4 252×lower-*.f64
4 230×lower-*.f32
2 760×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054336
0110304
1510257
24212256
08163254
Stop Event
iter limit
node limit
iter limit
Counts
25 → 811
Calls
Call 1
Inputs
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
(*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))
Outputs
(+.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(+.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(pow.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (*.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) #s(literal -1 binary32))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(fma.f32 #s(literal -1 binary32) (neg.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32) (*.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
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(*.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) u2))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(*.f32 (/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)
(*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (*.f32 u2 u2))
(*.f32 (*.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) u2) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (*.f32 u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(*.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 u2)) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))

simplify516.0ms (3.4%)

Memory
27.3MiB live, 691.0MiB allocated
Algorithm
egg-herbie
Rules
12 992×lower-fma.f64
12 992×lower-fma.f32
7 062×lower-*.f64
7 062×lower-*.f32
4 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07148814
123727213
080716570
Stop Event
iter limit
node limit
Counts
360 → 352
Calls
Call 1
Inputs
-1
(- (* 2 u1) 1)
(- (* u1 (+ 2 (* -2 u1))) 1)
(- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
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)
0
0
0
0
0
0
0
0
0
0
0
0
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)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 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
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(* -1 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
(+ (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(+ (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))))
(* (sqrt (pow u1 3)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/8 (* (sqrt u1) (/ (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 4)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(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 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))))
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(* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
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(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
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(* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1/2 (/ (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
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(sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(+ (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* (/ 1 (pow u2 6)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* (/ 1 (pow u2 6)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(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)))
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) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))))
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(+ (sqrt u1) (+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
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(sqrt (/ (* u1 (+ 1 u1)) (+ 1 (* -1 (pow u1 2)))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (* -1 (pow u1 2))))) (/ 1 (pow u2 6)))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* (sqrt (/ (* u1 (+ 1 u1)) (+ 1 (* -1 (pow u1 2))))) (/ 1 (pow u2 6)))))))
1
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(sqrt u1)
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(* u1 (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 7)))) (* 1/2 (sqrt (/ 1 (pow u1 3))))))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
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(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))
1
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(+ 1 u1)
(+ 1 u1)
u1
(* u1 (+ 1 (/ 1 u1)))
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u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (/ 1 u1)))
-1
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(- (* u1 (+ 1 (* u1 (- u1 1)))) 1)
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(/ (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))) u1)
(/ (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))) u1)
(/ -1 u1)
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(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1))) u1))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- u1 1)))
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(/ 1 u1)
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
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(/ 1 u1)
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(* 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)
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(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
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(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 2) (- 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
1
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
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(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))
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(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 4))
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(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 4) (- (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 4))) (* 98696044010906577398881/5000000000000000000000 (/ 1 (pow u2 2)))))
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(- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
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(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -98696044010906577398881/5000000000000000000000 (* u2 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 5) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 5) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 5) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* -1 (* (pow u2 5) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* -1 (* (pow u2 5) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* -1 (* (pow u2 5) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (sqrt u1) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (sqrt u1) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* (sqrt u1) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))
(+ (* (sqrt u1) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))))
(* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1 (/ (+ (* 1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* 1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1))) (* -1/2 (/ (* u2 (* (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(* -98696044010906577398881/5000000000000000000000 u2)
(* u2 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 5))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 5))
(* -1 (* (pow u2 5) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 5) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 5) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1 (/ (+ (* 1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* 1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1))) (* -1/2 (/ (* (pow u2 2) (* (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
Outputs
-1
#s(literal -1 binary32)
(- (* 2 u1) 1)
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1 binary32))
(- (* u1 (+ 2 (* -2 u1))) 1)
(fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal -1 binary32))
(- (* u1 (+ 2 (* u1 (- (* 2 u1) 2)))) 1)
(fma.f32 u1 (fma.f32 u1 (fma.f32 #s(literal 2 binary32) u1 #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))
(- (+ 1 (/ 2 (pow u1 2))) (* 2 (/ 1 u1)))
(+.f32 (/.f32 #s(literal 2 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1)))
(- (+ 1 (/ 2 (pow u1 2))) (+ (* 2 (/ 1 u1)) (* 2 (/ 1 (pow u1 3)))))
(-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal 2 binary32) u1) (/.f32 #s(literal 2 binary32) (*.f32 u1 (*.f32 u1 u1)))))
1
#s(literal 1 binary32)
(- 1 (* 2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u1))
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) u1)) u1))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) u1)) u1)) 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 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) 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 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 u1)))
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
u1
(* u1 (+ 1 (* -1 u1)))
(fma.f32 u1 (neg.f32 u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(fma.f32 u1 (fma.f32 u1 u1 (neg.f32 u1)) 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 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(+.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
#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))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/8 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 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))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/16 binary32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
u1
(* u1 (+ 1 (* 1/2 (/ 1 u1))))
(+.f32 u1 #s(literal 1/2 binary32))
(* u1 (- (+ 1 (* 1/2 (/ 1 u1))) (/ 1/8 (pow u1 2))))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(* u1 (- (+ 1 (+ (* 1/2 (/ 1 u1)) (* 1/16 (/ 1 (pow u1 3))))) (/ 1/8 (pow u1 2))))
(+.f32 u1 (*.f32 u1 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (-.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1/8 binary32) (*.f32 u1 u1))))))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (* 1/2 (/ 1 u1)))))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* 1/8 (/ 1 u1)) 1/2) u1)))))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(* -1 (* u1 (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 u1)) 1/8) u1)) 1/2) u1)))))
(neg.f32 (fma.f32 u1 (neg.f32 (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1/16 binary32) u1)) (neg.f32 u1)) #s(literal -1/2 binary32)) u1)) u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 u1)
(* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))))))))
(fma.f32 (*.f32 u1 u1) (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))
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(* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
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(* (pow u2 5) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(* (pow u2 5) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
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(* -1 (* (pow u2 5) (+ (* -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (+ (* 98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 (sqrt.f32 u1))))
(* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2))
(+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 u2 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 3/4 binary32) #s(literal -296088132032719732196643/20000000000000000000000 binary32)) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(fma.f32 u2 (*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 5/8 binary32) #s(literal -98696044010906577398881/8000000000000000000000 binary32)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/2 binary32)) (fma.f32 #s(literal -1/2 binary32) (fma.f32 u2 (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 3/4 binary32) #s(literal -296088132032719732196643/20000000000000000000000 binary32)) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2))))
(* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2))
(+ (* -1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1 (/ (+ (* 1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* 1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1))) (* -1/2 (/ (* u2 (* (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* u2 (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u2 (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 5/8 binary32) #s(literal -98696044010906577398881/8000000000000000000000 binary32)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) u1)) (neg.f32 u1)))
(* -98696044010906577398881/5000000000000000000000 u2)
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(* u2 (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* u2 (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))
(*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 5))
(*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32)))
(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
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(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* (pow u2 5) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 5))
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(* -1 (* (pow u2 5) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
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(* -1 (* (pow u2 5) (- (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
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(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
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(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
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(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(*.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
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(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
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(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 6) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))))))
(* (pow u2 6) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2)))))) (+ (* -98696044010906577398881/5000000000000000000000 (* (/ 1 (pow u2 4)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (+ 1 (* -1 (pow u1 2))))))))))
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(* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))
(fma.f32 (*.f32 u1 u1) (*.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)))
(+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))))
(fma.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (*.f32 #s(literal -1/2 binary32) (fma.f32 u2 (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 #s(literal 3/4 binary32) u2)) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (*.f32 u2 u2) #s(literal 3/4 binary32))) (*.f32 (*.f32 u1 u1) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (fma.f32 u2 (/.f32 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 #s(literal 5/8 binary32) u2)) (*.f32 (*.f32 u1 u1) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)))))
(* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)))
(+ (* -1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (* u1 (sqrt -1)))) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u2 u2)) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1 (/ (+ (* 1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1)))) (* 1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow u2 2) (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (sqrt -1))) (* -1/2 (/ (* (pow u2 2) (* (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)) (sqrt -1)))) u1)) (* (pow u2 2) (* (sqrt -1) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))))
(fma.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 u2 u2) (fma.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal 5/8 binary32) #s(literal -98696044010906577398881/8000000000000000000000 binary32)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) u1)) (neg.f32 u1)))

eval333.0ms (2.2%)

Memory
-52.0MiB live, 303.1MiB allocated
Compiler

Compiled 62 833 to 4 690 computations (92.5% saved)

prune250.0ms (1.6%)

Memory
6.5MiB live, 612.0MiB allocated
Pruning

85 alts after pruning (78 fresh and 7 done)

PrunedKeptTotal
New1 387311 418
Fresh164763
Picked235
Done044
Total1 405851 490
Accuracy
99.9%
Counts
1 490 → 85
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.6%
(fma.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
92.9%
(fma.f32 (/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
68.3%
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
83.1%
(fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
92.9%
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
78.7%
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
90.2%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
90.2%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))))
92.5%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)))
92.0%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
91.5%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
78.4%
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
59.4%
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
92.5%
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
78.2%
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
98.6%
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
78.2%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
6.4%
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
4.6%
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
20.3%
(+.f32 u1 #s(literal 1/2 binary32))
77.7%
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
87.6%
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
81.9%
(*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
78.6%
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
92.3%
(*.f32 (/.f32 (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
98.4%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.8%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
87.6%
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
98.7%
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.5%
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 u1 u1)) #s(literal 1/2 binary32))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.4%
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
87.7%
(*.f32 (*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.9%
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.7%
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
86.6%
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.4%
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
83.4%
(*.f32 (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.1%
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 u1))
85.4%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
80.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
83.1%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
80.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
80.8%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
87.6%
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
79.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
77.4%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
83.8%
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
95.9%
(*.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.8%
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
87.7%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
78.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
20.3%
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
78.2%
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
90.3%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
98.9%
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
67.8%
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
90.1%
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 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)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
92.5%
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
98.8%
(*.f32 (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
80.7%
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
70.2%
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
70.2%
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
68.3%
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
68.3%
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
73.2%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
72.1%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
70.6%
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
68.1%
(sqrt.f32 (fma.f32 u1 u1 u1))
78.5%
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
78.4%
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
78.5%
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
78.3%
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
68.0%
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
19.0%
(sqrt.f32 (*.f32 u1 u1))
61.0%
(sqrt.f32 u1)
13.8%
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
4.9%
(neg.f32 u1)
Compiler

Compiled 4 741 to 1 651 computations (65.2% saved)

regimes310.0ms (2%)

Memory
8.2MiB live, 482.9MiB allocated
Counts
126 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
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(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (*.f32 u1 (neg.f32 u1)))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))) (-.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) (*.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1)))))) (sqrt.f32 (*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 (*.f32 u1 (*.f32 u1 u1)) (*.f32 u1 (*.f32 u1 u1))))) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 (*.f32 u1 u1) (neg.f32 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (exp.f32 (*.f32 (log.f32 (fma.f32 u1 u1 u1)) #s(literal 1/2 binary32))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (*.f32 (pow.f32 (/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (cos.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))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

61.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
38.0ms
cosTheta_i
35.0ms
u1
35.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
34.0ms
u2
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
98.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
98.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
98.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
98.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes237.0ms (1.6%)

Memory
2.1MiB live, 359.7MiB allocated
Counts
88 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
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(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 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)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(fma.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

8 calls:

42.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
40.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
26.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms
cosTheta_i
25.0ms
u1
Results
AccuracySegmentsBranch
97.3%2u2
97.3%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.9%1cosTheta_i
96.7%2u1
97.3%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.7%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
96.7%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
97.3%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes104.0ms (0.7%)

Memory
5.7MiB live, 201.3MiB allocated
Counts
87 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (*.f32 u1 u1)) (sqrt.f32 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) u2) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(+.f32 (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 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)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(fma.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Outputs
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

4 calls:

27.0ms
u2
25.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
24.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
23.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
96.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
96.9%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
97.0%2u2
97.0%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes77.0ms (0.5%)

Memory
-6.6MiB live, 75.8MiB allocated
Counts
86 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
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(fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 (*.f32 u2 u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
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(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1)))))
(fma.f32 (/.f32 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) u2) (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(+.f32 (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 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)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(fma.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 (*.f32 u1 u1) (*.f32 u1 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1 binary32)) (fma.f32 u1 (*.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Calls

2 calls:

38.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
36.0ms
u2
Results
AccuracySegmentsBranch
96.9%2u2
96.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 10 to 8 computations (20% saved)

regimes232.0ms (1.5%)

Memory
-2.4MiB live, 396.8MiB allocated
Counts
84 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
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(+.f32 (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 (*.f32 (*.f32 u2 u2) (*.f32 u2 u2)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 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)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
(fma.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (*.f32 u2 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))))
Outputs
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

53.0ms
cosTheta_i
27.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
26.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
25.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
25.0ms
u1
Results
AccuracySegmentsBranch
92.9%1cosTheta_i
92.9%1u1
92.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.9%1u2
92.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes234.0ms (1.5%)

Memory
29.0MiB live, 268.9MiB allocated
Counts
65 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (+.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))) (*.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 u2 (*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 (sqrt.f32 u1)))))
(fma.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 u1) (*.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))))
Outputs
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
Calls

8 calls:

44.0ms
cosTheta_i
37.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
35.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
28.0ms
u2
27.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
92.9%1cosTheta_i
92.9%1u1
92.9%1u2
92.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes216.0ms (1.4%)

Memory
-10.9MiB live, 154.3MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (fma.f32 (*.f32 u2 u2) (+.f32 (*.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
Calls

8 calls:

51.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
43.0ms
u2
30.0ms
cosTheta_i
27.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
16.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
92.9%1u1
92.9%1u2
92.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
92.9%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes300.0ms (2%)

Memory
-25.6MiB live, 172.8MiB allocated
Counts
47 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (*.f32 u2 (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
Outputs
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
Calls

8 calls:

55.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
54.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
54.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
50.0ms
u2
45.0ms
cosTheta_i
Results
AccuracySegmentsBranch
92.5%1cosTheta_i
92.5%1u1
92.5%1u2
92.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
92.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
92.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
92.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
92.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes192.0ms (1.3%)

Memory
25.2MiB live, 144.2MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 (*.f32 u1 u1))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
Calls

8 calls:

46.0ms
cosTheta_i
46.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
35.0ms
u2
13.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Results
AccuracySegmentsBranch
90.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
90.3%1cosTheta_i
90.3%1u1
90.3%1u2
90.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
90.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
90.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
90.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes209.0ms (1.4%)

Memory
-1.7MiB live, 195.4MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

8 calls:

45.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
39.0ms
u2
39.0ms
cosTheta_i
25.0ms
u1
25.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Results
AccuracySegmentsBranch
91.9%2u2
91.9%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.6%1cosTheta_i
91.6%2u1
91.9%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
91.6%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
91.6%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
91.9%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes87.0ms (0.6%)

Memory
-4.9MiB live, 80.2MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
Outputs
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

4 calls:

40.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
24.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms
u2
11.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
91.6%2u2
91.6%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
91.6%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
91.8%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes104.0ms (0.7%)

Memory
13.3MiB live, 130.6MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (+.f32 (*.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) #s(literal 1 binary32)))
Outputs
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
Calls

7 calls:

23.0ms
u2
20.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
17.0ms
u1
10.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
87.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
87.6%1u2
87.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
87.6%1u1
87.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
87.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
87.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes118.0ms (0.8%)

Memory
-1.6MiB live, 118.2MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(fma.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32) (sqrt.f32 u1))
Outputs
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
Calls

8 calls:

26.0ms
u1
26.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
25.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
cosTheta_i
Results
AccuracySegmentsBranch
78.6%1cosTheta_i
85.5%2u1
86.1%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
85.5%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
85.5%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
86.2%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
86.2%2u2
86.2%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes94.0ms (0.6%)

Memory
-1.3MiB live, 117.4MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
Calls

7 calls:

27.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms
u1
Results
AccuracySegmentsBranch
83.6%2u1
83.6%2(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
83.6%2(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
84.1%2(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
84.7%2(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
84.7%2u2
84.7%2(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes130.0ms (0.9%)

Memory
-23.1MiB live, 134.6MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32))))
Outputs
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
Calls

8 calls:

37.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
22.0ms
cosTheta_i
21.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
78.5%1cosTheta_i
78.5%1u1
78.5%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.5%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
78.5%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.5%1u2
78.5%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
78.5%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes77.0ms (0.5%)

Memory
32.6MiB live, 111.8MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (*.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32))
(+.f32 (+.f32 u1 #s(literal 1/2 binary32)) (*.f32 u1 (/.f32 #s(literal -1/8 binary32) (*.f32 u1 u1))))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) u1)) u1))
(fma.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) u1) #s(literal -1/2 binary32)) (neg.f32 u1)) u1))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
Outputs
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
Calls

8 calls:

22.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.0ms
u2
6.0ms
cosTheta_i
6.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
78.4%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
78.4%1u1
78.4%1u2
78.4%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
78.4%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
78.4%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
78.4%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
78.4%1cosTheta_i
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes57.0ms (0.4%)

Memory
-16.0MiB live, 65.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
Outputs
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
Calls

8 calls:

24.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
11.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
u1
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
Results
AccuracySegmentsBranch
70.6%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
70.6%1u2
70.6%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
70.6%1u1
70.6%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
70.6%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
70.6%1cosTheta_i
70.6%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes41.0ms (0.3%)

Memory
-7.1MiB live, 71.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
Outputs
(sqrt.f32 (fma.f32 u1 u1 u1))
Calls

8 calls:

18.0ms
u2
4.0ms
cosTheta_i
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
Results
AccuracySegmentsBranch
68.1%1cosTheta_i
68.1%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
68.1%1u1
68.1%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
68.1%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
68.1%1u2
68.1%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
68.1%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes22.0ms (0.1%)

Memory
22.5MiB live, 63.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
Outputs
(sqrt.f32 u1)
Calls

8 calls:

4.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
u2
Results
AccuracySegmentsBranch
61.0%1cosTheta_i
61.0%1u1
61.0%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
61.0%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
61.0%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
61.0%1u2
61.0%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
61.0%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes16.0ms (0.1%)

Memory
1.3MiB live, 40.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 (neg.f32 u1) #s(literal -1/2 binary32))
Outputs
(+.f32 u1 #s(literal 1/2 binary32))
Calls

8 calls:

3.0ms
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
Results
AccuracySegmentsBranch
20.3%1cosTheta_i
20.3%1u2
20.3%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
20.3%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.3%1u1
20.3%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.3%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.3%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes30.0ms (0.2%)

Memory
-3.3MiB live, 35.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f32 u1)
Outputs
(neg.f32 u1)
Calls

8 calls:

20.0ms
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms
cosTheta_i
Results
AccuracySegmentsBranch
4.9%1(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.9%1u1
4.9%1(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.9%1(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.9%1cosTheta_i
4.9%1u2
4.9%1(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.9%1(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6210615634918213
0.6668976545333862
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6210615634918213
0.6668976545333862
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch42.0ms (0.3%)

Memory
-36.2MiB live, 3.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6210615634918213
0.6668976545333862
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.10022800415754318
0.10487101972103119
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
0.020621296018362045
0.02177208848297596
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.000343017716659233
0.0003513222618494183
Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999902844429016
0.9999908208847046
Compiler

Compiled 17 to 17 computations (0% saved)

simplify17.0ms (0.1%)

Memory
2.6MiB live, 40.6MiB allocated
Algorithm
egg-herbie
Rules
50×*-commutative_binary32
+-commutative_binary32
sub-neg_binary32
neg-sub0_binary32
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086510
1118510
2121510
3122510
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 427819/4194304 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 11274289/536870912 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16777057/16777216 binary32)) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(neg.f32 u1)
Outputs
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) (fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(fma.f32 (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(/.f32 (fma.f32 u2 (*.f32 u2 (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) (*.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 427819/4194304 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 427819/4194304 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 11274289/536870912 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 11274289/536870912 binary32)) (*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(if (<=.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3006477/8589934592 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16777057/16777216 binary32)) (*.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(neg.f32 u1)

soundness2.0s (13.5%)

Memory
36.4MiB live, 2 097.1MiB allocated
Rules
21 824×lower-fma.f64
21 824×lower-fma.f32
16 020×lower-fma.f64
16 020×lower-fma.f32
12 992×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
01628
14628
223728
3195328
0969228
036179
068168
1254164
21858164
08768162
0180906
1523815
21543747
34760699
08231673
07148814
123727213
080716570
04504156
113803679
243913391
080793152
05144630
116813883
259893556
080783268
054336
0110304
1510257
24212256
08163254
036226
067188
1259169
21905169
08408168
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 1 089 to 465 computations (57.3% saved)

preprocess101.0ms (0.7%)

Memory
-5.5MiB live, 394.7MiB allocated
Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 222 to 328 computations (73.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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