Beckmann Sample, near normal, slope_x

Time bar (total: 13.8s)

analyze231.0ms (1.7%)

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)

sample3.2s (23.1%)

Results
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11.0ms256valid
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Bogosity

preprocess504.0ms (3.7%)

Algorithm
egg-herbie
Rules
836×fma-define
159×associate-*r*
143×fma-neg
127×distribute-lft-in
121×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2005(0.9999218583106995 0.006210509687662125 0.00230048899538815)3(0.999916136264801 0.013825617730617523 2.160414851459791e-7)(log.f32 (-.f32 1 u1))
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-(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
5992521
61214521
71599521
82236521
92551521
102564521
112571521
122572521
Stop Event
saturated
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 (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 (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 (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 (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))))
(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)))))
(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)))))
(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 (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 (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 (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 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
56.2%
(*.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)

localize284.0ms (2.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.7%
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
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)
99.6%
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
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)
54.2%
(log.f32 (-.f32 1 u1))
Compiler

Compiled 98 to 60 computations (38.8% saved)

series65.0ms (0.5%)

Counts
8 → 104
Calls

30 calls:

TimeVariablePointExpression
29.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms
u1
@0
(log.f32 (-.f32 1 u1))
3.0ms
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
u2
@-inf
(*.f32 (*.f32 2 (PI.f32)) u2)

rewrite247.0ms (1.8%)

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
024204
1349168
23252168
Stop Event
node limit
Counts
8 → 169
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)))
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
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 (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))
(-.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 (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))
(+.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)))))

simplify236.0ms (1.7%)

Algorithm
egg-herbie
Rules
737×fma-neg
489×associate-/l*
311×associate-*l*
291×associate-*r/
287×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041313991
194812425
2326611375
3783111375
Stop Event
node limit
Counts
273 → 271
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))))))
(+.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))))
(+.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 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (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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(-.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 (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))
(-.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 (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))
(+.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)))))
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)
(*.f32 u1 (+.f32 -1 (*.f32 -1/2 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 (pow.f32 u1 2) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(fma.f32 (pow.f32 u1 2) (+.f32 -1/2 (*.f32 u1 -1/3)) (neg.f32 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 u1) (-.f32 (log.f32 -1) (/.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 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (pow.f32 u1 2)))))
(-.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (pow.f32 u1 2))))
(+.f32 (log.f32 u1) (+.f32 (-.f32 (log.f32 -1) (/.f32 1 u1)) (/.f32 -1/2 (pow.f32 u1 2))))
(-.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 (log.f32 u1) (+.f32 (log.f32 -1) (+.f32 (/.f32 -1/2 (pow.f32 u1 2)) (+.f32 (/.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))
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(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(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 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 0 (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.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 (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))
(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 (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))))
(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))))
(+.f32 0 (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))
(+.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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 0 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 0)
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 0 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 0)
(-.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 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 1 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(pow.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 0 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))
(+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 0)
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(exp.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))
(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 (*.f32 (cos.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))))

eval163.0ms (1.2%)

Compiler

Compiled 8601 to 6157 computations (28.4% saved)

prune74.0ms (0.5%)

Pruning

24 alts after pruning (22 fresh and 2 done)

PrunedKeptTotal
New30622328
Fresh000
Picked022
Done000
Total30624330
Accuracy
99.8%
Counts
330 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
86.7%
(*.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)))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
77.9%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
94.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
98.8%
(*.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)))))
86.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
99.1%
(*.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 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
77.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
46.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
75.8%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
72.4%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
Compiler

Compiled 807 to 683 computations (15.4% saved)

localize650.0ms (4.7%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
99.0%
(*.f32 (PI.f32) u2)
98.9%
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
99.3%
(log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
99.3%
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
99.0%
(*.f32 (PI.f32) u2)
99.6%
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
99.5%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.0%
(pow.f32 (log1p.f32 u1) 3/2)
99.0%
(*.f32 (*.f32 2 (PI.f32)) u2)
100.0%
(log1p.f32 (neg.f32 u1))
99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
99.0%
(*.f32 (PI.f32) u2)
98.1%
(expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Compiler

Compiled 255 to 106 computations (58.4% saved)

series93.0ms (0.7%)

Counts
17 → 220
Calls

63 calls:

TimeVariablePointExpression
21.0ms
u2
@inf
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
6.0ms
u2
@0
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
3.0ms
u1
@-inf
(pow.f32 (log1p.f32 u1) 3/2)
3.0ms
u2
@inf
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
3.0ms
u1
@-inf
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite200.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
808×log1p-expm1-u
806×expm1-log1p-u
240×log1p-undefine
218×fma-define
181×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036418
1497350
24855350
Stop Event
node limit
Counts
17 → 409
Calls
Call 1
Inputs
(expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (PI.f32) u2)
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(*.f32 (PI.f32) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
Outputs
(+.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) -1)
(-.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(*.f32 (expm1.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(*.f32 1 (expm1.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
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(fma.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) 3) (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) 3) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) 1) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.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 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 1)
(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 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))
(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 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.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 1/3) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(*.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 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 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 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))

simplify259.0ms (1.9%)

Algorithm
egg-herbie
Rules
633×fma-define
623×associate-*l*
618×associate-*r*
461×*-commutative
299×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09634295001370
123774294997432
Stop Event
node limit
Counts
629 → 560
Calls
Call 1
Inputs
(-.f32 (exp.f32 1) 1)
(-.f32 (+.f32 (exp.f32 1) (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1))))) 1)
(-.f32 (+.f32 (exp.f32 1) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (*.f32 (pow.f32 u2 4) (*.f32 (exp.f32 1) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) 1)
(-.f32 (+.f32 (exp.f32 1) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (exp.f32 1) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))) (*.f32 (pow.f32 u2 6) (*.f32 (exp.f32 1) (+.f32 (*.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6)))))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(*.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))))
(+.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 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (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)))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 1)
(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 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))
(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 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.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 1/3) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(*.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 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 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 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
Outputs
(-.f32 (exp.f32 1) 1)
(expm1.f32 1)
(-.f32 (+.f32 (exp.f32 1) (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1))))) 1)
(+.f32 (+.f32 (E.f32) (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (E.f32) (pow.f32 (PI.f32) 2))))) -1)
(+.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (E.f32) -2)) (expm1.f32 1))
(-.f32 (+.f32 (exp.f32 1) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (*.f32 (pow.f32 u2 4) (*.f32 (exp.f32 1) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))))) 1)
(+.f32 (E.f32) (-.f32 (fma.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (E.f32) (pow.f32 (PI.f32) 2))) (*.f32 (pow.f32 u2 4) (*.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 4) 8/3)))) 1))
(+.f32 (fma.f32 -2 (*.f32 (E.f32) (pow.f32 (*.f32 u2 (PI.f32)) 2)) (*.f32 (*.f32 (*.f32 (E.f32) (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)) 8/3)) (expm1.f32 1))
(-.f32 (+.f32 (exp.f32 1) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (pow.f32 (PI.f32) 2) (exp.f32 1)))) (+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (exp.f32 1) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (*.f32 2 (pow.f32 (PI.f32) 4))))) (*.f32 (pow.f32 u2 6) (*.f32 (exp.f32 1) (+.f32 (*.f32 -8/3 (pow.f32 (PI.f32) 6)) (*.f32 -4/45 (pow.f32 (PI.f32) 6)))))))) 1)
(+.f32 (E.f32) (-.f32 (fma.f32 -2 (*.f32 (pow.f32 u2 2) (*.f32 (E.f32) (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (*.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 4) 8/3)) (*.f32 (pow.f32 u2 6) (*.f32 (E.f32) (*.f32 (pow.f32 (PI.f32) 6) -124/45))))) 1))
(+.f32 (fma.f32 -2 (*.f32 (E.f32) (pow.f32 (*.f32 u2 (PI.f32)) 2)) (fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -124/45 (E.f32))) (*.f32 (*.f32 (*.f32 (E.f32) (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)) 8/3))) (expm1.f32 1))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 1)
(expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 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 (*.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 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.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 (PI.f32) (*.f32 u2 2))) (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 -1)) u1) (*.f32 -1/2 (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 (PI.f32) (*.f32 u2 2))) (/.f32 (sqrt.f32 -1) u1)) (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 (PI.f32) (*.f32 u2 2))) (/.f32 (*.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))) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (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 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 -1)) u1)) (*.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 -1)) (/.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 (*.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)))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 (sqrt.f32 -1) u1)) (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 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (/.f32 (+.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))))))) (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 (PI.f32) (*.f32 u2 2))) (/.f32 (*.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))) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 -1)) (/.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 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 -1)) u1)) (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.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) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(*.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 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 -1 (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)))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 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))))))
(fma.f32 -1/2 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 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)) (pow.f32 u1 2)))) (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
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(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(fma.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(fma.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sin.f32 (*.f32 (PI.f32) u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (+.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))) (-.f32 (cos.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32)))) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (*.f32 0 (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)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) 1) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) (*.f32 0 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))) (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (pow.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))) 4) (*.f32 0 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/6) (fma.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6) (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(fma.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6)) (*.f32 0 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.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 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) 1)
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(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 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (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 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.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 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4)))
(*.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 (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))))
(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 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(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) 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))
(sqrt.f32 (log1p.f32 u1))
(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 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1/3))
(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))

eval670.0ms (4.9%)

Compiler

Compiled 28323 to 19865 computations (29.9% saved)

prune246.0ms (1.8%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New995151010
Fresh71017
Picked145
Done022
Total1003311034
Accuracy
99.8%
Counts
1034 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.1%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
71.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
86.7%
(*.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)))
74.9%
(*.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))))))) 1)
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
77.9%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
65.0%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
98.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
94.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
86.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
99.0%
(*.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 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
99.1%
(*.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 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
77.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
46.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.4%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
72.4%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
63.5%
(sqrt.f32 (log1p.f32 u1))
35.8%
(sqrt.f32 (log.f32 (+.f32 1 u1)))
Compiler

Compiled 933 to 796 computations (14.7% saved)

localize707.0ms (5.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
99.4%
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
99.1%
(*.f32 (PI.f32) u2)
95.6%
(PI.f32)
99.1%
(pow.f32 (log1p.f32 u1) 3/2)
99.1%
(*.f32 (*.f32 2 (PI.f32)) u2)
95.6%
(PI.f32)
95.6%
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
99.5%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.1%
(*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1)))
99.1%
(*.f32 (*.f32 2 (PI.f32)) u2)
95.6%
(PI.f32)
99.7%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
95.6%
(PI.f32)
62.1%
(-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)
Compiler

Compiled 257 to 145 computations (43.6% saved)

series38.0ms (0.3%)

Counts
11 → 108
Calls

30 calls:

TimeVariablePointExpression
4.0ms
u1
@-inf
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
4.0ms
u1
@inf
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
3.0ms
u1
@0
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite190.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
415×log1p-expm1-u
267×associate-*r*
261×expm1-log1p-u
256×pow1
252×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042269
1656215
27831215
Stop Event
node limit
Counts
11 → 273
Calls
Call 1
Inputs
(-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)
(PI.f32)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
(PI.f32)
(*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(PI.f32)
(PI.f32)
(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 2 (*.f32 (PI.f32) u2)))) 2))
Outputs
(+.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) -1)
(+.f32 -1 (fma.f32 u2 (*.f32 2 (PI.f32)) 1))
(+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 0)
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 u2 2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 1 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) 2)
(*.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 1)
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 (PI.f32))) 2) (*.f32 (cbrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2) (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) (*.f32 (sqrt.f32 (*.f32 2 (PI.f32))) u2))
(*.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 3) -1) (/.f32 1 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))))
(*.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) -1) (/.f32 1 (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(*.f32 (+.f32 (sqrt.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) 1) (-.f32 (sqrt.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) 1))
(*.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 2 u2) (PI.f32))
(*.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 2 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 u2 (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 1 (/.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)) (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 3) -1)))
(/.f32 1 (/.f32 (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2) (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) -1)))
(/.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 3) -1) (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(/.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 3) -1) (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) (-.f32 1 (*.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) -1))))
(/.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) -1) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))
(/.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) -1) (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) -1))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 3) -1)) (neg.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 2) -1)) (neg.f32 (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(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 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.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 (*.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))
(fma.f32 1 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) 2) (cbrt.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sqrt.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) -1)
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))
(+.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (sqrt.f32 (log1p.f32 u1))))
(-.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 (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 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 u1 (neg.f32 (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 u1 (*.f32 -1 (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 u1 (*.f32 (*.f32 -1/2 (pow.f32 u1 2)) 1))
(+.f32 u1 (*.f32 (*.f32 -1/2 (pow.f32 u1 2)) -1))
(+.f32 0 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(-.f32 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(-.f32 0 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))) 1)
(/.f32 (+.f32 (pow.f32 u1 3) (pow.f32 (*.f32 -1/2 (pow.f32 u1 2)) 3)) (+.f32 (pow.f32 u1 2) (-.f32 (*.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 2))) (*.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))))
(/.f32 (-.f32 0 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3)) (+.f32 0 (+.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 2) (*.f32 0 (*.f32 u1 (fma.f32 u1 -1/2 -1))))))
(/.f32 (-.f32 (pow.f32 u1 2) (*.f32 (*.f32 -1/2 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 2)))) (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(/.f32 (-.f32 0 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 2)) (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(/.f32 (*.f32 u1 (+.f32 -1 (*.f32 (pow.f32 u1 3) -1/8))) (+.f32 1 (+.f32 (*.f32 (pow.f32 u1 2) 1/4) (*.f32 u1 -1/2))))
(/.f32 (*.f32 u1 (+.f32 1 (*.f32 (pow.f32 u1 2) 1/4))) (fma.f32 u1 -1/2 -1))
(/.f32 (*.f32 (+.f32 -1 (*.f32 (pow.f32 u1 3) -1/8)) u1) (+.f32 1 (+.f32 (*.f32 (pow.f32 u1 2) 1/4) (*.f32 u1 -1/2))))
(/.f32 (*.f32 (+.f32 1 (*.f32 (pow.f32 u1 2) 1/4)) u1) (fma.f32 u1 -1/2 -1))
(pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 1)
(pow.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 2)
(pow.f32 (cbrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 3)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3) 1/3)
(neg.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))
(sqrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 2))
(log.f32 (pow.f32 (exp.f32 u1) (fma.f32 u1 -1/2 -1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))))
(cbrt.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3))
(cbrt.f32 (*.f32 (pow.f32 u1 3) (pow.f32 (fma.f32 u1 -1/2 -1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/2 -1) 3) (pow.f32 u1 3)))
(expm1.f32 (log1p.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(log1p.f32 (expm1.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(exp.f32 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))))
(exp.f32 (*.f32 (log.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) 1))
(fma.f32 1 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 u1 -1 (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1 u1 (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 (pow.f32 (cbrt.f32 u1) 2) (cbrt.f32 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 2)
(sqrt.f32 (*.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 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 (*.f32 u1 (fma.f32 u1 -1/2 -1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 -1/2 -1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1))
(-.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 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))
(*.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 (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))))
(sqrt.f32 (log1p.f32 u1))
(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))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 1))
(-.f32 (exp.f32 (log1p.f32 (PI.f32))) 1)
(*.f32 (PI.f32) 1)
(*.f32 1 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(pow.f32 (PI.f32) 1)
(pow.f32 (cbrt.f32 (PI.f32)) 3)
(pow.f32 (pow.f32 (PI.f32) 3) 1/3)
(pow.f32 (sqrt.f32 (PI.f32)) 2)
(sqrt.f32 (pow.f32 (PI.f32) 2))
(log.f32 (exp.f32 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (PI.f32))))
(cbrt.f32 (pow.f32 (PI.f32) 3))
(expm1.f32 (log1p.f32 (PI.f32)))
(log1p.f32 (expm1.f32 (PI.f32)))
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) 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 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)))
(+.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.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 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) 1) (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) 1))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 1)
(-.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 -1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 -1)))
(*.f32 1 (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 (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 (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.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 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/4) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/4) (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.f32 (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/4)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1/4))
(*.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 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) 3) (pow.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) 3)) (+.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (-.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))) (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))))
(/.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 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)))) (-.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))
(/.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)))
(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 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.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)))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))
(+.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (sqrt.f32 (log1p.f32 u1))))
(-.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 (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))

simplify254.0ms (1.8%)

Algorithm
egg-herbie
Rules
516×associate-*r*
498×associate-*l*
476×fma-define
385×*-commutative
333×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079719985
1202218377
2691418297
Stop Event
node limit
Counts
381 → 385
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 (*.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 (*.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (cbrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) 3) (pow.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) 3)) (+.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (-.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))) (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))))
(/.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 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)))) (-.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))
(/.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)))
(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 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.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)))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1))))
(+.f32 (*.f32 (*.f32 (cos.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (cos.f32 1)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (*.f32 (sin.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1)) (sin.f32 1)) (sqrt.f32 (log1p.f32 u1))))
(-.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 (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))
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 (*.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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.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 (sqrt.f32 -1) u1)) (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 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 -1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (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 -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 (sqrt.f32 -1) u1)) (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 (*.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))) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (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 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.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 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (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 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))) (pow.f32 u1 2))))))
(+.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)))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (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 (*.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)))))))) (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 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.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))) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.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) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (*.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.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)))))) (fma.f32 -1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (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 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))) (pow.f32 u1 2))))) (fma.f32 -1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 -1 (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)))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) 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))))))
(fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (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 (*.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))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
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(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 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 u2 (*.f32 2 (PI.f32)))) 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 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 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(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 u2 (*.f32 2 (PI.f32)))))))
(*.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 u2 (*.f32 2 (PI.f32)))))))
(*.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 u2 (*.f32 2 (PI.f32)))))) 1))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

eval607.0ms (4.4%)

Compiler

Compiled 21485 to 15682 computations (27% saved)

prune153.0ms (1.1%)

Pruning

36 alts after pruning (26 fresh and 10 done)

PrunedKeptTotal
New6939702
Fresh31720
Picked145
Done066
Total69736733
Accuracy
99.9%
Counts
733 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
73.7%
(*.f32 (pow.f32 (exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.1%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) 1)
73.8%
(*.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3)) (cos.f32 (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
89.1%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (*.f32 (+.f32 -1 (*.f32 (pow.f32 u1 3) -1/8)) u1) (+.f32 1 (+.f32 (*.f32 (pow.f32 u1 2) 1/4) (*.f32 u1 -1/2)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
71.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
74.9%
(*.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))))))) 1)
88.6%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (expm1.f32 (log1p.f32 (PI.f32)))) u2)))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
65.0%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
93.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
94.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3) u2)))) 2))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (cos.f32 1)) 3) (pow.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) 3)) (fma.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) (-.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (*.f32 (*.f32 (cos.f32 1) (cos.f32 1)) (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)))))))
86.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
99.0%
(*.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 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
99.0%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
99.1%
(*.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 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
77.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
46.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
89.0%
(*.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/2 -1) 3) (pow.f32 u1 3))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
77.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.4%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
72.4%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
63.5%
(sqrt.f32 (log1p.f32 u1))
35.8%
(sqrt.f32 (log.f32 (+.f32 1 u1)))
Compiler

Compiled 1215 to 1042 computations (14.2% saved)

localize875.0ms (6.4%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
99.0%
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
98.9%
(*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2))
99.6%
(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)))))))
99.5%
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4))))
99.4%
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4)))
98.9%
(*.f32 -1/3 (pow.f32 u1 3))
99.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
99.6%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
99.0%
(*.f32 u2 (PI.f32))
98.6%
(pow.f32 (*.f32 u2 (PI.f32)) 2)
100.0%
(log1p.f32 u1)
99.7%
(sqrt.f32 (log1p.f32 u1))
99.6%
(log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
99.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
99.5%
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
99.0%
(*.f32 (PI.f32) (*.f32 u2 2))
Compiler

Compiled 349 to 212 computations (39.3% saved)

series110.0ms (0.8%)

Counts
16 → 157
Calls

57 calls:

TimeVariablePointExpression
36.0ms
u2
@inf
(log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
18.0ms
u2
@-inf
(log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
5.0ms
u1
@inf
(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)))))))
3.0ms
u2
@0
(log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))

rewrite170.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
357×log1p-expm1-u
356×expm1-log1p-u
339×pow1
337×add-cube-cbrt
336×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053473
1834439
Stop Event
node limit
Counts
16 → 295
Calls
Call 1
Inputs
(*.f32 (PI.f32) (*.f32 u2 2))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 u1)
(pow.f32 (*.f32 u2 (PI.f32)) 2)
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(*.f32 -1/3 (pow.f32 u1 3))
(+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4)))
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4))))
(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)))))))
(*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2))
(*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
Outputs
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 u2 2)) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 u2 2)))
(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 (PI.f32) 3) (pow.f32 (*.f32 u2 2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 2) 3) (pow.f32 (PI.f32) 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))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1))
(-.f32 (+.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(sqrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 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 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))) 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 (PI.f32) (*.f32 u2 2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(*.f32 1 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2) (cbrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(pow.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(log.f32 (+.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cbrt.f32 (pow.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
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(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
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(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))
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(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
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(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)
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(log.f32 (+.f32 1 u1))
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(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
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(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
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(log1p.f32 (expm1.f32 (pow.f32 (*.f32 (PI.f32) u2) 2)))
(exp.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) u2))))
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(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)
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(fabs.f32 (*.f32 (PI.f32) u2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
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(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))
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(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 1) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)) 3) 1/3)
(pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (hypot.f32 1 (*.f32 (*.f32 (PI.f32) u2) (sqrt.f32 -2)))) 2)
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(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)))))
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(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1))) 1))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3)))) 1)
(pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 1)
(pow.f32 (*.f32 u1 (cbrt.f32 -1/3)) 3)
(pow.f32 (*.f32 (pow.f32 (pow.f32 u1 3) 3) -1/27) 1/3)
(pow.f32 (*.f32 (pow.f32 u1 3/2) (sqrt.f32 -1/3)) 2)
(sqrt.f32 (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 2))
(log.f32 (pow.f32 (exp.f32 -1/3) (pow.f32 u1 3)))
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(log1p.f32 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(exp.f32 (log.f32 (*.f32 -1/3 (pow.f32 u1 3))))
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(pow.f32 (pow.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2)
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(fma.f32 (pow.f32 u1 2) -1/2 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
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(fma.f32 (cbrt.f32 (pow.f32 (*.f32 -1/2 (pow.f32 u1 2)) 2)) (cbrt.f32 (*.f32 -1/2 (pow.f32 u1 2))) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 (*.f32 u1 (sqrt.f32 -1/2)) (*.f32 u1 (sqrt.f32 -1/2)) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))) 1)
(*.f32 1 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(*.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) (cbrt.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(*.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4) (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1/2))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 2) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2))) (sqrt.f32 (-.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 3))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2) (*.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))))
(pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/2)
(pow.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))) 3)
(pow.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 3/2) 1/3)
(pow.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4) 2)
(fabs.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))))
(cbrt.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(hypot.f32 (sqrt.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) (sqrt.f32 u1))
(hypot.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(exp.f32 (*.f32 (log.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) (sqrt.f32 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) 2) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) 2) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 1)
(pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) 2) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 2))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 1))

simplify278.0ms (2%)

Algorithm
egg-herbie
Rules
770×times-frac
564×associate-*l*
528×associate-*r*
361×fma-define
331×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
088122712
1194220955
2649520825
Stop Event
node limit
Counts
452 → 526
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)))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.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))))))
(+.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)))
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(exp.f32 (*.f32 (*.f32 2 (log.f32 (*.f32 (PI.f32) u2))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/2)
(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))
(fabs.f32 (*.f32 (PI.f32) u2))
(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 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 1) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)) 3) 1/3)
(pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (hypot.f32 1 (*.f32 (*.f32 (PI.f32) u2) (sqrt.f32 -2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)) 2))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) -2 1)))))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 -1/3 (pow.f32 u1 3)))) 1)
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(pow.f32 (*.f32 (pow.f32 (pow.f32 u1 3) 3) -1/27) 1/3)
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(sqrt.f32 (pow.f32 (*.f32 -1/3 (pow.f32 u1 3)) 2))
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(log.f32 (+.f32 1 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3)))))
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(log1p.f32 (expm1.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(exp.f32 (log.f32 (*.f32 -1/3 (pow.f32 u1 3))))
(exp.f32 (*.f32 (log.f32 (*.f32 -1/3 (pow.f32 u1 3))) 1))
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(pow.f32 (cbrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 3)
(pow.f32 (pow.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))) 3) 1/3)
(pow.f32 (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2)
(sqrt.f32 (pow.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))) 2))
(log.f32 (exp.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))
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(log1p.f32 (expm1.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))
(exp.f32 (log.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))
(exp.f32 (*.f32 (log.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 1))
(fma.f32 1 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/4 (pow.f32 u1 4)))
(fma.f32 1 (*.f32 -1/4 (pow.f32 u1 4)) (*.f32 -1/3 (pow.f32 u1 3)))
(fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/4 (pow.f32 u1 4)))
(fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))
(fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))
(fma.f32 (pow.f32 u1 4) -1/4 (*.f32 -1/3 (pow.f32 u1 3)))
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(exp.f32 (*.f32 (log.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1))
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(pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/2)
(pow.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))) 3)
(pow.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 3/2) 1/3)
(pow.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4) 2)
(fabs.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))))
(cbrt.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(hypot.f32 (sqrt.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) (sqrt.f32 u1))
(hypot.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(exp.f32 (*.f32 (log.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) (sqrt.f32 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) 2) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) 2) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 1)
(pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 1)
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 2)
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) 2) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 1)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 3) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 2)
(sqrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 2))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 1))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 2 (PI.f32)))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) -2 1)
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
(+.f32 1 (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3))))
(+.f32 1 (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (fma.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -4/45 (pow.f32 u2 6)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 2 (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 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (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 u2 (*.f32 2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (*.f32 -1/2 (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 u2 (*.f32 2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (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 2 (PI.f32)))) (/.f32 (*.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))) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (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 2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (/.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 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (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 2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (*.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (pow.f32 u1 2)))))))
(+.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)))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (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 2 (PI.f32)))) (/.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) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.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 2 (PI.f32)))) (/.f32 (*.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))) (pow.f32 u1 2)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
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(expm1.f32 (log1p.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(log1p.f32 (expm1.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(exp.f32 (log.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(exp.f32 (*.f32 (log.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 1 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 1 (*.f32 -1/2 (pow.f32 u1 2)) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 (pow.f32 u1 2) -1/2 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2) (cbrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 -1/2 (pow.f32 u1 2)) 2)) (cbrt.f32 (*.f32 -1/2 (pow.f32 u1 2))) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 -1/2 (pow.f32 u1 2)) 2)) (cbrt.f32 (*.f32 -1/2 (pow.f32 u1 2))) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) (sqrt.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) (*.f32 -1/2 (pow.f32 u1 2)))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(fma.f32 (*.f32 u1 (sqrt.f32 -1/2)) (*.f32 u1 (sqrt.f32 -1/2)) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))
(fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))) 1)
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))))
(*.f32 1 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(*.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) (cbrt.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(*.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))) (cbrt.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))))
(*.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4) (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4))
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 2) 1/2) (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))))
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(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))) (sqrt.f32 (cbrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 2) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2))) (sqrt.f32 (-.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 2) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))) 2))) (sqrt.f32 (-.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 3))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))) 2) (*.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))) 3))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))) 2) (*.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))))))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (pow.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))) 3))) (sqrt.f32 (fma.f32 u1 u1 (*.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))) (-.f32 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4)))) u1)))))
(pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/2)
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(pow.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))) 1)
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))) 3)
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(pow.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 3/2) 1/3)
(cbrt.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))) 3/2))
(pow.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 1/4) 2)
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(fabs.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3)))))))))
(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
(cbrt.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))) 3/2))
(cbrt.f32 (pow.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 -1/3 (pow.f32 u1 3))))))))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))))
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(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
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(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
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(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
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(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
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(sqrt.f32 (+.f32 u1 (fma.f32 -1/2 (pow.f32 u1 2) (fma.f32 (pow.f32 u1 3) -1/3 (*.f32 -1/4 (pow.f32 u1 4))))))
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(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 2)
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(cbrt.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 3) 8) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 8 (pow.f32 u2 3/2))))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) 2) 3)))
(cbrt.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) 3) 8) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 8 (pow.f32 u2 3/2))))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))) 1))
(*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 1)
(expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 1)
(*.f32 u2 (*.f32 2 (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3)
(*.f32 u2 (*.f32 2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3) 1/3)
(*.f32 u2 (*.f32 2 (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 2)
(*.f32 u2 (*.f32 2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) 2) u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))
(*.f32 u2 (*.f32 2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) 2) u2) 3))
(*.f32 u2 (*.f32 2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) 2) 3) (pow.f32 u2 3)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 8 (*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3) (pow.f32 u2 3/2))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) (sqrt.f32 u2))) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 8 (*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3) (pow.f32 u2 3/2))))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))
(*.f32 u2 (*.f32 2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 1))
(*.f32 u2 (*.f32 2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))) 1)
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 1)
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 3)
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 2)
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 2))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2))) 3))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(*.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 (*.f32 (PI.f32) 2) u2)))))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (*.f32 (PI.f32) 2) u2)))) 1))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

eval611.0ms (4.4%)

Compiler

Compiled 25395 to 19029 computations (25.1% saved)

prune180.0ms (1.3%)

Pruning

41 alts after pruning (29 fresh and 12 done)

PrunedKeptTotal
New83812850
Fresh41721
Picked145
Done2810
Total84541886
Accuracy
99.9%
Counts
886 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.1%
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
73.8%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
73.7%
(*.f32 (pow.f32 (exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
18.1%
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
20.6%
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
73.8%
(*.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3)) (cos.f32 (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
14.1%
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
89.1%
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (*.f32 (+.f32 -1 (*.f32 (pow.f32 u1 3) -1/8)) u1) (+.f32 1 (+.f32 (*.f32 (pow.f32 u1 2) 1/4) (*.f32 u1 -1/2)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
71.8%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
74.9%
(*.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))))))) 1)
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
89.0%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
93.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
94.3%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3) u2)))) 2))
98.7%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (cos.f32 1)) 3) (pow.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) 3)) (fma.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) (-.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (*.f32 (*.f32 (cos.f32 1) (cos.f32 1)) (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)))))))
98.9%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)))
86.5%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
99.1%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
97.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
92.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))
99.0%
(*.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 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
99.1%
(*.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 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
77.6%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
56.2%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
46.6%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
89.0%
(*.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/2 -1) 3) (pow.f32 u1 3))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
77.9%
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
74.5%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
63.4%
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
72.4%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
63.5%
(sqrt.f32 (log1p.f32 u1))
35.8%
(sqrt.f32 (log.f32 (+.f32 1 u1)))
65.0%
(sqrt.f32 u1)
63.4%
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
Compiler

Compiled 1672 to 1215 computations (27.3% saved)

regimes223.0ms (1.6%)

Counts
60 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.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 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (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)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (-.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(*.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 (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) 3/2) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (expm1.f32 (log1p.f32 (PI.f32)))) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.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))))))) 1)
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (*.f32 (+.f32 -1 (*.f32 (pow.f32 u1 3) -1/8)) u1) (+.f32 1 (+.f32 (*.f32 (pow.f32 u1 2) 1/4) (*.f32 u1 -1/2)))))) (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)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) 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 u2 (*.f32 2 (PI.f32)))))))
(*.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 (log.f32 (-.f32 1 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1/3) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/6) 6))
(*.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 (-.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 (cbrt.f32 (*.f32 (pow.f32 (fma.f32 u1 -1/2 -1) 3) (pow.f32 u1 3))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (pow.f32 (sqrt.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 3) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3)) (cos.f32 (-.f32 (fma.f32 u2 (*.f32 2 (PI.f32)) 1) 1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (*.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (cos.f32 1)) 3) (pow.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) 3)) (fma.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) (-.f32 (*.f32 (sin.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (sin.f32 1)) (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (cos.f32 1))) (*.f32 (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)) (*.f32 (*.f32 (cos.f32 1) (cos.f32 1)) (cos.f32 (fma.f32 2 (*.f32 u2 (PI.f32)) 1)))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

10 calls:

26.0ms
u2
25.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
25.0ms
u1
25.0ms
cosTheta_i
23.0ms
(-.f32 1 u1)
Results
AccuracySegmentsBranch
99.1%1cosTheta_i
99.1%1u1
99.1%1u2
99.1%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
99.1%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
99.1%1(neg.f32 (log.f32 (-.f32 1 u1)))
99.1%1(log.f32 (-.f32 1 u1))
99.1%1(-.f32 1 u1)
99.1%1(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
99.1%1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 75 to 64 computations (14.7% saved)

regimes123.0ms (0.9%)

Counts
17 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.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 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

9 calls:

17.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
16.0ms
(-.f32 1 u1)
16.0ms
u1
16.0ms
u2
15.0ms
(log.f32 (-.f32 1 u1))
Results
AccuracySegmentsBranch
89.0%1cosTheta_i
95.5%2u1
96.6%2u2
95.5%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
95.5%2(neg.f32 (log.f32 (-.f32 1 u1)))
95.5%2(log.f32 (-.f32 1 u1))
95.5%2(-.f32 1 u1)
96.6%2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
96.6%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes99.0ms (0.7%)

Counts
14 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.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 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

8 calls:

15.0ms
u1
14.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
14.0ms
u2
13.0ms
(-.f32 1 u1)
13.0ms
(log.f32 (-.f32 1 u1))
Results
AccuracySegmentsBranch
93.3%2u1
93.3%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
93.3%2(neg.f32 (log.f32 (-.f32 1 u1)))
93.3%2(log.f32 (-.f32 1 u1))
93.3%2(-.f32 1 u1)
94.3%2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
94.3%2u2
94.3%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 55 to 47 computations (14.5% saved)

regimes173.0ms (1.3%)

Counts
13 → 2
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.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 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1))) 1)
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:

48.0ms
(log.f32 (-.f32 1 u1))
39.0ms
cosTheta_i
14.0ms
(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
14.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
13.0ms
(-.f32 1 u1)
Results
AccuracySegmentsBranch
77.9%1cosTheta_i
87.1%2u1
87.1%2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
87.1%2(neg.f32 (log.f32 (-.f32 1 u1)))
87.1%2(log.f32 (-.f32 1 u1))
87.1%2(-.f32 1 u1)
89.5%2u2
89.5%2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
89.5%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 59 to 50 computations (15.3% saved)

regimes47.0ms (0.3%)

Counts
10 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (+.f32 u1 (*.f32 -1/2 (pow.f32 u1 2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
Calls

7 calls:

13.0ms
(neg.f32 (log.f32 (-.f32 1 u1)))
7.0ms
cosTheta_i
6.0ms
u1
6.0ms
u2
5.0ms
(log.f32 (-.f32 1 u1))
Results
AccuracySegmentsBranch
77.6%1cosTheta_i
77.6%1u1
77.6%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
77.6%1(neg.f32 (log.f32 (-.f32 1 u1)))
77.6%1(log.f32 (-.f32 1 u1))
77.6%1(-.f32 1 u1)
77.6%1u2
Compiler

Compiled 42 to 35 computations (16.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total -16.7b remaining (-148.8%)

Threshold costs -16.7b (-148.8%)

Counts
7 → 1
Calls
Call 1
Inputs
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (*.f32 1/2 (pow.f32 u1 2)) 1)
(*.f32 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2))) 1)
(*.f32 (+.f32 7/18 (+.f32 (*.f32 1/3 u1) (*.f32 1/2 (pow.f32 u1 2)))) 1)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
Outputs
(sqrt.f32 u1)
Calls

3 calls:

5.0ms
u2
5.0ms
u1
4.0ms
cosTheta_i
Results
AccuracySegmentsBranch
65.0%1cosTheta_i
65.0%1u1
65.0%1u2
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.06582561880350113
0.07971549779176712
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0014994830125942826
0.0016383450711145997
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.008885517716407776
0.009011953137814999
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify74.0ms (0.5%)

Algorithm
egg-herbie
Rules
17×*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048414
177414
292414
3108414
4114414
5118414
6119414
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.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) 9395241/134217728) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 6442451/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2415919/268435456) (*.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 2 (PI.f32)) u2)))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 9395241/134217728) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 9395241/134217728) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 -2 (*.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) (*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (*.f32 (neg.f32 u1) (+.f32 -1 (*.f32 u1 -1/2))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 6442451/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 (neg.f32 (*.f32 u1 (+.f32 -1 (*.f32 -1/2 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 6442451/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (*.f32 (neg.f32 u1) (+.f32 -1 (*.f32 u1 -1/2))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2415919/268435456) (*.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 (*.f32 2 (PI.f32)) u2) 2415919/268435456) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (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 129 to 101 computations (21.7% saved)

soundness1.7s (12.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
049559
1109521
2201521
3348521
4583521
5992521
61214521
71599521
82236521
92551521
102564521
112571521
122572521
024204
1349168
23252168
041313991
194812425
2326611375
3783111375
09634295001370
123774294997432
041313991
194812425
2326611375
3783111375
024204
1349168
23252168
09634295001370
123774294997432
053473
1834439
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
saturated
Compiler

Compiled 612 to 383 computations (37.4% saved)

end0.0ms (0%)

preprocess80.0ms (0.6%)

Remove

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 500 to 368 computations (26.4% saved)

Profiling

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