Beckmann Sample, near normal, slope_x

Time bar (total: 16.1s)

analyze260.0ms (1.6%)

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
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
50%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
75%0%0%100%0%0%0%7
75%0%0%100%0%0%0%8
87.5%0%0%100%0%0%0%9
87.5%0%0%100%0%0%0%10
87.5%0%0%100%0%0%0%11
93.8%0%0%100%0%0%0%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

sample4.2s (26%)

Results
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23.0ms256valid
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Bogosity

preprocess608.0ms (3.8%)

Algorithm
egg-herbie
Rules
1133×fma-define
752×fma-neg
585×unsub-neg
542×distribute-neg-in
456×associate-+l+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2064(0.999945878982544 0.008158454671502113 1.4556939277099445e-5)3(0.9999068975448608 0.011060086078941822 3.8595891282966477e-7)(log.f32 (-.f32 1 u1))
10-1(0.999958872795105 7.388796796625741e-10 0.2549452781677246)(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
00-0-(-.f32 1 u1)
00-0-(*.f32 2 (PI.f32))
00-0-(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
00-0-u1
00-0-(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
00-0-(*.f32 (*.f32 2 (PI.f32)) u2)
00-0-2
00-0-(PI.f32)
00-0-u2
00-0-1
00-0-(neg.f32 (log.f32 (-.f32 1 u1)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049559
1109521
2201521
3348521
4583521
5993521
61224521
71676521
82448521
92964521
103749521
115175521
126080521
136269521
146281521
156762521
167905521
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u2))))
(neg.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(neg.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(neg.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(neg.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(*.f32 (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (neg.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(neg.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 (neg.f32 u1))))) (neg.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (neg.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (neg.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))
(neg.f32 (*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) (neg.f32 u2)))))
(*.f32 (neg.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (neg.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 -2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (cos.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
Symmetry

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 124 to 96 computations (22.6% saved)

eval1.0ms (0%)

Compiler

Compiled 39 to 23 computations (41% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize281.0ms (1.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.7%
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(*.f32 (*.f32 2 (PI.f32)) u2)
99.7%
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(*.f32 (*.f32 2 (PI.f32)) u2)
54.1%
(log.f32 (-.f32 1 u1))
Compiler

Compiled 98 to 60 computations (38.8% saved)

series66.0ms (0.4%)

Counts
8 → 108
Calls

30 calls:

TimeVariablePointExpression
32.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite249.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
945×log1p-expm1-u
945×expm1-log1p-u
575×prod-diff
178×log1p-undefine
157×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024206
1349178
23240178
Stop Event
node limit
Counts
8 → 165
Calls
Call 1
Inputs
(log.f32 (-.f32 1 u1))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
Outputs
(+.f32 0 (log1p.f32 u1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 u1)) 2)) (log.f32 (cbrt.f32 (+.f32 1 u1))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 1 u1))) (log.f32 (sqrt.f32 (+.f32 1 u1))))
(-.f32 0 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1)))
(-.f32 (log1p.f32 (pow.f32 u1 2)) (log1p.f32 u1))
(*.f32 1 (log1p.f32 u1))
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 -1 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 1 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 1 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))

simplify161.0ms (1%)

Algorithm
egg-herbie
Rules
396×associate-*l*
364×associate-*r*
348×log-prod
268×distribute-rgt-in
258×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041313039
1107411794
2448611554
Stop Event
node limit
Counts
273 → 273
Calls
Call 1
Inputs
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4)))))
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
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(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 -1 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 -1 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 1 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (exp.f32 2) (*.f32 (PI.f32) u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(+.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 1 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
Outputs
(*.f32 -1 u1)
(neg.f32 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(fma.f32 -1/2 (pow.f32 u1 2) (neg.f32 u1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 -1 u1 (fma.f32 -1/2 (pow.f32 u1 2) (*.f32 -1/3 (pow.f32 u1 3))))
(-.f32 (fma.f32 -1/2 (pow.f32 u1 2) (*.f32 -1/3 (pow.f32 u1 3))) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4)))))
(fma.f32 -1 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/4 (pow.f32 u1 4)))))
(-.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/4 (pow.f32 u1 4)))) u1)
(+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (/.f32 1 u1))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (/.f32 1 u1)))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1 u1))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (pow.f32 u1 2))))
(+.f32 (+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1/2 (pow.f32 u1 2)))) (/.f32 -1 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (pow.f32 u1 2))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (pow.f32 u1 2))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (+.f32 (+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1/2 (pow.f32 u1 2)))) (/.f32 -1 u1)) (/.f32 -1/3 (pow.f32 u1 3)))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
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(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(sqrt.f32 (log1p.f32 u1))

eval168.0ms (1%)

Compiler

Compiled 8773 to 6276 computations (28.5% saved)

prune93.0ms (0.6%)

Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New30528333
Fresh000
Picked022
Done000
Total30530335
Accuracy
99.7%
Counts
335 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
74.7%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.5%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.4%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
89.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
87.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
94.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4))))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
93.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
78.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
92.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
87.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 (*.f32 -2 (pow.f32 u2 2)) (pow.f32 (PI.f32) 2))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
97.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
79.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
48.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
62.7%
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.6%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
71.6%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
Compiler

Compiled 1051 to 893 computations (15% saved)

localize612.0ms (3.8%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.6%
(cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
99.0%
(*.f32 (PI.f32) u2)
97.6%
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
99.6%
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
99.5%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(*.f32 (*.f32 2 (PI.f32)) u2)
97.7%
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
99.7%
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(*.f32 (*.f32 2 (PI.f32)) u2)
96.6%
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
100.0%
(log1p.f32 (neg.f32 u1))
99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.7%
(cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
99.0%
(*.f32 (PI.f32) u2)
95.5%
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Compiler

Compiled 248 to 109 computations (56% saved)

series112.0ms (0.7%)

Counts
14 → 164
Calls

54 calls:

TimeVariablePointExpression
20.0ms
u2
@inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
8.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
7.0ms
u1
@-inf
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
6.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
6.0ms
u1
@0
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)

rewrite179.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
810×log1p-expm1-u
810×expm1-log1p-u
250×log1p-undefine
196×associate-*r*
190×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038344
1531306
24971306
Stop Event
node limit
Counts
14 → 358
Calls
Call 1
Inputs
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (neg.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(*.f32 (PI.f32) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 2 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) 2)
(*.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1)
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(*.f32 1 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 2) 3) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 3) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 3))
(*.f32 (exp.f32 (log.f32 2)) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 2 u2) (PI.f32))
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 u2 2) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2)) (cbrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6)) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)
(pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 3/2)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
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(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3))
(pow.f32 (log1p.f32 u1) 1/6)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3)
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 2)
(sqrt.f32 (cbrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 2 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) 2)
(*.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1)
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(*.f32 1 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 2) 3) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 3) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 3))
(*.f32 (exp.f32 (log.f32 2)) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 2 u2) (PI.f32))
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 u2 2) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2)) (cbrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6)) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(*.f32 1 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (cbrt.f32 2))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2))
(*.f32 (cbrt.f32 u2) (cbrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3))
(pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))

simplify239.0ms (1.5%)

Algorithm
egg-herbie
Rules
640×fma-define
294×*-commutative
279×associate-+r+
264×associate-/r*
240×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096628945
1278926482
Stop Event
node limit
Counts
522 → 486
Calls
Call 1
Inputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (sqrt.f32 -1))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))))
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(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6))
(*.f32 (pow.f32 1 1/3) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/3) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 1/3))
(pow.f32 (log1p.f32 u1) 1/6)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 1)
(pow.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) 3)
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/6) 2)
(sqrt.f32 (cbrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 2 (*.f32 (PI.f32) u2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) 2)
(*.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1)
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(*.f32 1 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 2) 3) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) 3) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 3))
(*.f32 (exp.f32 (log.f32 2)) (*.f32 (PI.f32) u2))
(*.f32 (*.f32 2 u2) (PI.f32))
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 u2 2) (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2)) (cbrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6)) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(*.f32 1 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (cbrt.f32 2))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2))
(*.f32 (cbrt.f32 u2) (cbrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3))
(pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 2)
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1))) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (/.f32 (pow.f32 u1 2) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
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1
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(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)
(exp.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)))
(pow.f32 (log1p.f32 u1) 1/6)
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1/3))
(cbrt.f32 (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (log1p.f32 u1) 1/6)) 1))
(pow.f32 (log1p.f32 u1) 1/6)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (PI.f32) u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) u2) 2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 1 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (cbrt.f32 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (cbrt.f32 2) (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) u2))
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(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2)) (cbrt.f32 (*.f32 2 (PI.f32))))
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(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (cbrt.f32 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (cbrt.f32 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6)) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 2))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 3))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 1 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (cbrt.f32 2))
(*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2))
(*.f32 (cbrt.f32 u2) (cbrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) (cbrt.f32 u2))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) 1/3) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (cbrt.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/3)
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1/6) 2)
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(fabs.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/3))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
(cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

eval596.0ms (3.7%)

Compiler

Compiled 30678 to 22194 computations (27.7% saved)

prune231.0ms (1.4%)

Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New974261000
Fresh16723
Picked145
Done022
Total991391030
Accuracy
99.7%
Counts
1030 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
68.9%
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))
62.5%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
63.6%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
76.6%
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.3%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
76.4%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.5%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
76.4%
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
89.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
87.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
94.9%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4))))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
73.7%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
76.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
78.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
65.3%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
92.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
97.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
98.8%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
79.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
48.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
75.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
63.7%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
71.6%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
63.7%
(sqrt.f32 (log1p.f32 u1))
37.0%
(sqrt.f32 (log.f32 (+.f32 1 u1)))
Compiler

Compiled 1194 to 993 computations (16.8% saved)

localize997.0ms (6.2%)

Localize:

Found 15 expressions with local error:

NewAccuracyProgram
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
99.1%
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
99.0%
(*.f32 (PI.f32) u2)
54.1%
(log.f32 (-.f32 1 u1))
99.7%
(sqrt.f32 (log1p.f32 u1))
99.6%
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))
99.0%
(*.f32 u2 (PI.f32))
98.4%
(pow.f32 (*.f32 u2 (PI.f32)) 2)
100.0%
(log1p.f32 u1)
99.9%
(pow.f32 (log1p.f32 u1) 1/4)
98.3%
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.7%
(cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32)))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
99.1%
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
Compiler

Compiled 235 to 138 computations (41.3% saved)

series93.0ms (0.6%)

Counts
12 → 152
Calls

45 calls:

TimeVariablePointExpression
39.0ms
u1
@-inf
(pow.f32 (log1p.f32 u1) 1/4)
4.0ms
u1
@-inf
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
3.0ms
u1
@inf
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms
u2
@0
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
2.0ms
u1
@inf
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))

rewrite196.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
749×log1p-expm1-u
256×associate-*r*
252×expm1-log1p-u
243×pow1
240×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043275
1669259
27180259
Stop Event
node limit
Counts
12 → 315
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
(cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32)))))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 u1)
(pow.f32 (*.f32 u2 (PI.f32)) 2)
(*.f32 u2 (PI.f32))
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)
(sqrt.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3/2) (pow.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) 3) (pow.f32 (*.f32 2 (PI.f32)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (*.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))) (*.f32 -1 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1)) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 1))
(+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)
(+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(+.f32 -1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (/.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
(-.f32 (/.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (/.f32 1 (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(*.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (/.f32 1 (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(*.f32 (+.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (-.f32 1 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1))
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(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)
(+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(+.f32 -1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
(*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (/.f32 1 (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(*.f32 (+.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (+.f32 (sqrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1) (-.f32 (sqrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1)))
(/.f32 1 (/.f32 (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1)))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (-.f32 1 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1)) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1)) (neg.f32 (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(exp.f32 (log.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
(fma.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)
(fma.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32))) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2) (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (sqrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) -1)
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (*.f32 (sqrt.f32 (log1p.f32 u1)) -1))
(+.f32 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))) (*.f32 -1 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1)) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 1))

simplify220.0ms (1.4%)

Algorithm
egg-herbie
Rules
675×fma-define
324×+-commutative
277×*-commutative
251×associate-/r*
244×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096928538
1268724451
Stop Event
node limit
Counts
467 → 500
Calls
Call 1
Inputs
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 1/24 (*.f32 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 8)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -1/720 (*.f32 (*.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 12)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 1/24 (*.f32 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 8)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))))
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1
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u1
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(sqrt.f32 (log.f32 (+.f32 1 u1)))
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(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 1))
Outputs
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (/.f32 (pow.f32 u1 2) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (pow.f32 u1 3) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (*.f32 (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (pow.f32 u1 2)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (pow.f32 u1 3)) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))))) (*.f32 (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (pow.f32 u1 2)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))
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u1
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(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)) (+.f32 2 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1)) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3))) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)) (+.f32 2 (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)))
(pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 0 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))

eval624.0ms (3.9%)

Compiler

Compiled 22665 to 16978 computations (25.1% saved)

prune255.0ms (1.6%)

Pruning

47 alts after pruning (40 fresh and 7 done)

PrunedKeptTotal
New72818746
Fresh62228
Picked415
Done066
Total73847785
Accuracy
99.8%
Counts
785 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
76.6%
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))
76.6%
(+.f32 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))) (*.f32 -1 (sqrt.f32 (log1p.f32 u1))))
70.6%
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
62.5%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
65.1%
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
76.6%
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.4%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.5%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
76.4%
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
89.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
87.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
73.7%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
78.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
78.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
95.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2) (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) -1))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)) (-.f32 (-.f32 -2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (-.f32 -2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 1 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
97.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
79.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
48.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
65.3%
(*.f32 (sqrt.f32 u1) 1)
75.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
63.7%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
71.6%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
63.7%
(sqrt.f32 (log1p.f32 u1))
37.0%
(sqrt.f32 (log.f32 (+.f32 1 u1)))
Compiler

Compiled 1742 to 1453 computations (16.6% saved)

localize724.0ms (4.5%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
99.4%
(+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
99.4%
(pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)
99.0%
(*.f32 u2 (*.f32 2 (PI.f32)))
99.7%
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
99.5%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
99.0%
(*.f32 (PI.f32) (*.f32 u2 2))
97.8%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
99.9%
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
99.5%
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
99.0%
(*.f32 u2 (PI.f32))
98.4%
(pow.f32 (*.f32 u2 (PI.f32)) 2)
99.7%
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
99.0%
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
96.9%
(pow.f32 (sqrt.f32 2) 2)
Compiler

Compiled 293 to 179 computations (38.9% saved)

series246.0ms (1.5%)

Counts
14 → 172
Calls

54 calls:

TimeVariablePointExpression
119.0ms
u2
@inf
(*.f32 (PI.f32) (*.f32 u2 2))
37.0ms
u2
@inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
9.0ms
u1
@-inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
7.0ms
u1
@inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
6.0ms
u2
@0
(pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)

rewrite121.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
286×log1p-expm1-u
286×expm1-log1p-u
279×pow1
273×add-exp-log
273×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047471
1783388
Stop Event
node limit
Counts
14 → 287
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 2) 2)
(*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2))))
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)
(+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
Outputs
2
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)
(sqrt.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 3)
(pow.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) 3/2)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1))
(-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(*.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)
(*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(exp.f32 (log.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
(+.f32 (*.f32 (sqrt.f32 u1) (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))) (sqrt.f32 u1))
(+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 u1)) (sqrt.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1)))) 1)
(pow.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1)) 1)
(pow.f32 (cbrt.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))) 3)
(pow.f32 (pow.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))) 2)
(sqrt.f32 (*.f32 u1 (pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1)))))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1)) 3))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 3) (pow.f32 u1 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 3)))
(expm1.f32 (log1p.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))))
(exp.f32 (log.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))) 1))
(+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1)
(+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1) 1)
(-.f32 (exp.f32 (log1p.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1))) 1)
(*.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1))
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 1)
(*.f32 (cbrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) (pow.f32 (cbrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) 2) (cbrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(*.f32 (sqrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) (sqrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(/.f32 (+.f32 (pow.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 3) 1) (+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))) (-.f32 1 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1))))
(/.f32 (-.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))) 1) (-.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1))
(pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 1)
(pow.f32 (cbrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) 3)
(pow.f32 (pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) 2)
(sqrt.f32 (pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 2))
(log.f32 (exp.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1))))
(cbrt.f32 (pow.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(log1p.f32 (expm1.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(exp.f32 (log.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)))
(exp.f32 (*.f32 (log.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) (*.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1/6) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))))
(*.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) 3) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1/6) 3) (pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1/6) 3))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) 1) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (cbrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))))) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1/6)) (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1/6))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 1)
(pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3)
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(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
(/.f32 1 (/.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))
(/.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(/.f32 (*.f32 (neg.f32 (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) 1) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (pow.f32 (cbrt.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) 2)) (cbrt.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (sqrt.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (sqrt.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))) 2)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 3)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))) 1))

simplify457.0ms (2.8%)

Algorithm
egg-herbie
Rules
928×fma-define
413×distribute-lft-in
402×distribute-rgt-in
380×*-commutative
332×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108134803
1345431282
Stop Event
node limit
Counts
459 → 496
Calls
Call 1
Inputs
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 1/24 (*.f32 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 8)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -1/720 (*.f32 (*.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 12)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 1/24 (*.f32 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 8)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
1
(+.f32 1 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (sqrt.f32 2) 4)))))
(+.f32 1 (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (sqrt.f32 2) 4)))) (*.f32 1/24 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (sqrt.f32 2) 8))))))
(+.f32 1 (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (pow.f32 (sqrt.f32 2) 4)))) (+.f32 (*.f32 -1/720 (*.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (pow.f32 (sqrt.f32 2) 12)))) (*.f32 1/24 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (pow.f32 (sqrt.f32 2) 8)))))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (sqrt.f32 u1) (*.f32 -2 (*.f32 (sqrt.f32 u1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(*.f32 (pow.f32 1 1/6) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
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2
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(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 3)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))) 1))
Outputs
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (*.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) u1)) (*.f32 -1/2 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (pow.f32 u1 2))))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) u1)) (*.f32 -1/2 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (pow.f32 u1 3))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (pow.f32 u1 2))) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))))))
(*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (neg.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))) u1)) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (neg.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))) u1)) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (pow.f32 u1 2))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (neg.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (/.f32 (pow.f32 u1 2) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1))))))) (pow.f32 u1 3))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))) u1)) (*.f32 -1/2 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (pow.f32 u1 2))))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (pow.f32 u1 3)) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (neg.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32)))))))
(*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1)))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (*.f32 -1/2 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (sqrt.f32 -1) 4)))))
(+.f32 (*.f32 -1/2 (*.f32 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 1/24 (*.f32 (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 8)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (sqrt.f32 -1))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 4))))) (fma.f32 1/24 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (sqrt.f32 -1) (pow.f32 (sqrt.f32 2) 8))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (sqrt.f32 -1) 4))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (*.f32 1/24 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 4) (*.f32 (sqrt.f32 -1) 16))))))
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1
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1
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(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0))) 1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))

eval620.0ms (3.8%)

Compiler

Compiled 27110 to 20315 computations (25.1% saved)

prune173.0ms (1.1%)

Pruning

47 alts after pruning (38 fresh and 9 done)

PrunedKeptTotal
New59110601
Fresh72835
Picked325
Done077
Total60147648
Accuracy
99.8%
Counts
648 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.7%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
76.6%
(+.f32 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))) (*.f32 -1 (sqrt.f32 (log1p.f32 u1))))
70.7%
(+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 u1)) (sqrt.f32 u1))
62.5%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
65.1%
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
76.6%
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.4%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.4%
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
70.7%
(*.f32 (+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 2) -1) (sqrt.f32 u1))
70.6%
(*.f32 (+.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1) (sqrt.f32 u1))
89.4%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
89.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
87.3%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
76.2%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
73.7%
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
78.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
78.7%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
95.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2) (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) -1))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (-.f32 -2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 3) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
98.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (-.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2) 1) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
83.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 2 -1)))
37.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (/.f32 (*.f32 (-.f32 1 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (-.f32 1 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (*.f32 (-.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (-.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
98.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 1 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
97.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
79.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.1%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
48.5%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
78.7%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
75.6%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
75.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.0%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
63.7%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
63.7%
(sqrt.f32 (log1p.f32 u1))
37.0%
(sqrt.f32 (log.f32 (+.f32 1 u1)))
65.3%
(sqrt.f32 u1)
Compiler

Compiled 2352 to 1664 computations (29.3% saved)

regimes323.0ms (2%)

Counts
84 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 2) -1) (sqrt.f32 u1))
(+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 (*.f32 -2 (pow.f32 u2 2)) (pow.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 2 -1)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
(+.f32 (*.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))) (*.f32 -1 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(/.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (-.f32 -2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2)) (/.f32 1 (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4))))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (-.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2) 1) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (pow.f32 u1 3)) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (neg.f32 (cbrt.f32 (log1p.f32 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 3) 2) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 1 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3)) (-.f32 (-.f32 -2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2) (cbrt.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) -1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (/.f32 (*.f32 (-.f32 1 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (-.f32 1 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))) (*.f32 (-.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (-.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) -1) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (/.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 3) (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) 2) (+.f32 2 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
Calls

10 calls:

50.0ms
u1
38.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
36.0ms
u2
35.0ms
cosTheta_i
33.0ms
(-.f32 1 u1)
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
99.0%1(neg.f32 (log.f32 (-.f32 1 u1)))
99.0%1(log.f32 (-.f32 1 u1))
99.0%1(-.f32 1 u1)
99.0%1(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.0%1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes288.0ms (1.8%)

Counts
61 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 2) -1) (sqrt.f32 u1))
(+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 (*.f32 -2 (pow.f32 u2 2)) (pow.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 2 -1)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
Calls

10 calls:

63.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
30.0ms
u1
29.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
28.0ms
u2
28.0ms
(log.f32 (-.f32 1 u1))
Results
AccuracySegmentsBranch
99.0%1cosTheta_i
99.0%1u1
99.0%1u2
99.0%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
99.0%1(neg.f32 (log.f32 (-.f32 1 u1)))
99.0%1(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.0%1(*.f32 (*.f32 2 (PI.f32)) u2)
99.0%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%1(log.f32 (-.f32 1 u1))
99.0%1(-.f32 1 u1)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes435.0ms (2.7%)

Counts
53 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 u1 1/6) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 2) -1) (sqrt.f32 u1))
(+.f32 (*.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) (sqrt.f32 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 (*.f32 -2 (pow.f32 u2 2)) (pow.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2) -1) (-.f32 2 -1)))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/3 (pow.f32 u1 3)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

10 calls:

161.0ms
(log.f32 (-.f32 1 u1))
74.0ms
cosTheta_i
57.0ms
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
26.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
25.0ms
u2
Results
AccuracySegmentsBranch
98.9%1cosTheta_i
98.9%1u1
98.9%1u2
98.9%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
98.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
98.9%1(neg.f32 (log.f32 (-.f32 1 u1)))
98.9%1(log.f32 (-.f32 1 u1))
98.9%1(-.f32 1 u1)
98.9%1(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
98.9%1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes288.0ms (1.8%)

Counts
18 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 u2 2) (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (+.f32 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2)) 1) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2))))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (sqrt.f32 u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

9 calls:

158.0ms
cosTheta_i
22.0ms
u1
19.0ms
u2
18.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
18.0ms
(log.f32 (-.f32 1 u1))
Results
AccuracySegmentsBranch
83.1%3cosTheta_i
89.6%2u1
92.7%2u2
89.6%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
89.6%2(neg.f32 (log.f32 (-.f32 1 u1)))
89.6%2(log.f32 (-.f32 1 u1))
89.6%2(-.f32 1 u1)
92.7%2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
92.7%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes35.0ms (0.2%)

Counts
8 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
Calls

6 calls:

9.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
6.0ms
(log.f32 (-.f32 1 u1))
5.0ms
u2
5.0ms
u1
5.0ms
(-.f32 1 u1)
Results
AccuracySegmentsBranch
79.9%1(log.f32 (-.f32 1 u1))
79.9%1(-.f32 1 u1)
79.9%1u1
79.9%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
79.9%1(neg.f32 (log.f32 (-.f32 1 u1)))
79.9%1u2
Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes14.0ms (0.1%)

Accuracy

Total -9.1b remaining (-82.4%)

Threshold costs -9.1b (-82.4%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

5.0ms
u1
4.0ms
u2
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
65.3%1cosTheta_i
65.3%1u1
65.3%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00429151626303792
0.0048231338150799274
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify8.0ms (0%)

Algorithm
egg-herbie
Rules
13×*-commutative
1-exp
sub-neg
neg-mul-1
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039282
161282
265282
367282
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2415919/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 u1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 2 (PI.f32))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 u2 (sqrt.f32 (*.f32 2 (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (sqrt.f32 2) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2415919/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2415919/536870912) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 u1)
Compiler

Compiled 92 to 78 computations (15.2% saved)

soundness1.9s (11.7%)

Rules
1133×fma-define
945×log1p-expm1-u
945×expm1-log1p-u
945×log1p-expm1-u
945×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049559
1109521
2201521
3348521
4583521
5993521
61224521
71676521
82448521
92964521
103749521
115175521
126080521
136269521
146281521
156762521
167905521
024206
1349178
23240178
038344
1531306
24971306
024206
1349178
23240178
096628945
1278926482
024206
1349178
23240178
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 578 to 396 computations (31.5% saved)

end0.0ms (0%)

preprocess65.0ms (0.4%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 690 to 546 computations (20.9% saved)

Profiling

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