Details

Time bar (total: 13.3s)

analyze194.0ms (1.5%)

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)

sample2.6s (19.7%)

Results
2.6s8256×body256valid
1.0msbody256precondition
Bogosity

preprocess43.0ms (0.3%)

Algorithm
egg-herbie
Rules
304×fma-def
202×+-commutative
180×associate-+l-
168×associate-+l+
114×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033172
162164
298164
3123164
4151164
5187164
6242164
7324164
8603164
9687164
10739164
111019164
121083164
131118164
141130164
151133164
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
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 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 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (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 2 (*.f32 (PI.f32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (*.f32 2 (*.f32 u1 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u1 2))))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
92×fma-def
62×associate-+l-
60×+-commutative
52×associate-+l+
40×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01743
12941
24141
35141
46141
57541
69841
712341
820141
923441
1025641
1136641
1239441
1340741
1441141
1541241
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.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 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

eval1.0ms (0%)

Compiler

Compiled 41 to 32 computations (22% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New123
Fresh011
Picked000
Done000
Total134
Error
0.3b
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.5b
(*.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)

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (*.f32 2 (PI.f32)) u2)
15.1b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 53 to 39 computations (26.4% saved)

series31.0ms (0.2%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
23.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite114.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
944×swap-sqr
530×distribute-rgt-in
516×associate-*r/
478×distribute-lft-in
416×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01788
133980
2409980
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(log.f32 (-.f32 1 u1))
(*.f32 (*.f32 2 (PI.f32)) u2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 -1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 (neg.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (*.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (*.f32 -1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) 1) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) -1) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (neg.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (neg.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2) 1/2)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (log1p.f32 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simplify137.0ms (1%)

Algorithm
egg-herbie
Rules
1526×associate-/r/
800×associate-*r*
742×associate-*l*
624×+-commutative
590×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04537214
111756540
252336414
Stop Event
node limit
Counts
196 → 265
Calls
Call 1
Inputs
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(+.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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)))))))))))
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(pow.f32 (log1p.f32 (neg.f32 u1)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)
(neg.f32 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 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 (PI.f32) (*.f32 2 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 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 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 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 (*.f32 u1 u1)))
(fma.f32 -1/2 (*.f32 u1 u1) (neg.f32 u1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) 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 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 u1) (-.f32 (+.f32 (log.f32 -1) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (-.f32 (+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1))) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (log.f32 u1) (-.f32 (-.f32 (log.f32 -1) (/.f32 1 u1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3)))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.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)))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (/.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (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 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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)))))))))))
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(/.f32 (*.f32 1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(log1p.f32 (neg.f32 u1))
(/.f32 (*.f32 -1 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (*.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(log1p.f32 (neg.f32 u1))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) -1) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) -1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2)) (cbrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) -1) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (neg.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (log1p.f32 (neg.f32 u1)) 1)
(log1p.f32 (neg.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2)
(log1p.f32 (neg.f32 u1))
(pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3)
(log1p.f32 (neg.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(fabs.f32 (log1p.f32 (neg.f32 u1)))
(pow.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3) 1/3)
(log1p.f32 (neg.f32 u1))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(sqrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))
(fabs.f32 (log1p.f32 (neg.f32 u1)))
(cbrt.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))
(log1p.f32 (neg.f32 u1))
(expm1.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(exp.f32 (log.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (neg.f32 u1))
(log1p.f32 (neg.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) (*.f32 (neg.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 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(-.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 (PI.f32) (*.f32 2 u2))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(fabs.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.1b
(cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (PI.f32) u2)
Compiler

Compiled 47 to 19 computations (59.6% saved)

series43.0ms (0.3%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
38.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms
u1
@0
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms
u1
@-inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite119.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1018×unswap-sqr
860×swap-sqr
518×sqr-pow
434×distribute-rgt-in
392×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01686
132370
2393470
Stop Event
node limit
Counts
4 → 137
Calls
Call 1
Inputs
(*.f32 (PI.f32) u2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (+.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 (neg.f32 (sin.f32 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) u2)) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (*.f32 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (*.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)) 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simplify157.0ms (1.2%)

Algorithm
egg-herbie
Rules
1446×associate-*r/
1056×associate-*r*
976×associate-*l*
708×+-commutative
610×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04529303
111868139
258298055
Stop Event
node limit
Counts
189 → 262
Calls
Call 1
Inputs
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
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(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)) (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(*.f32 (+.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sin.f32 (*.f32 (PI.f32) u2))) (-.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sin.f32 (*.f32 (PI.f32) u2))))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (-.f32 (cos.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (+.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (-.f32 (sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3/2) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3/2))
(*.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/6) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/6))
(/.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 1 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) 1) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) -1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.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)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 u1)))
(*.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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (pow.f32 -1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(neg.f32 (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))))
(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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.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)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (sqrt.f32 -1) (*.f32 (/.f32 u1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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)))))))))))
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(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.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 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 -1)))
(*.f32 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (sqrt.f32 -1)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(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) 1/4) 2)
(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))
(neg.f32 (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))))
(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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))

eval316.0ms (2.4%)

Compiler

Compiled 14872 to 9236 computations (37.9% saved)

prune223.0ms (1.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New49631527
Fresh000
Picked011
Done011
Total49633529
Error
0.0b
Counts
529 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
7.9b
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)
8.4b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.9b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.2b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.2b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
3.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
8.2b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
9.1b
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
9.6b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
Compiler

Compiled 1231 to 993 computations (19.3% saved)

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.2b
(log1p.f32 (*.f32 (PI.f32) u2))
0.2b
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
0.4b
(*.f32 (PI.f32) u2)
Compiler

Compiled 62 to 21 computations (66.1% saved)

series3.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u2
@-inf
(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms
u2
@0
(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms
u2
@inf
(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))

rewrite94.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1058×unswap-sqr
886×swap-sqr
486×distribute-rgt-in
440×distribute-lft-in
346×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01863
135955
2414455
Stop Event
node limit
Counts
3 → 92
Calls
Call 1
Inputs
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 (PI.f32) u2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change 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simplify101.0ms (0.8%)

Algorithm
egg-herbie
Rules
1664×associate-/r*
730×+-commutative
668×associate-/l*
642×associate-*r*
526×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03726142
110265442
241575442
Stop Event
node limit
Counts
136 → 215
Calls
Call 1
Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 u2 (PI.f32)) (*.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (*.f32 1/3 (/.f32 1 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (*.f32 -1 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(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 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(fma.f32 -1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(fma.f32 u2 (PI.f32) (*.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(fma.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 u2 (PI.f32))))
(fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (*.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 u2 (PI.f32)) (*.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 u2 (PI.f32) (*.f32 (*.f32 -1/4 (pow.f32 u2 4)) (pow.f32 (PI.f32) 4)))))
(fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (*.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (fma.f32 u2 (PI.f32) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/4 (pow.f32 u2 4))))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (neg.f32 (neg.f32 (log.f32 u2))))
(log.f32 (*.f32 u2 (PI.f32)))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2)))))
(+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 (/.f32 1 u2) (PI.f32))) (neg.f32 (neg.f32 (log.f32 u2))))
(+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (*.f32 u2 (PI.f32))))
(+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (log.f32 (*.f32 u2 (PI.f32))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (PI.f32)) (-.f32 (+.f32 (neg.f32 (neg.f32 (log.f32 u2))) (/.f32 (/.f32 1 u2) (PI.f32))) (/.f32 1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (*.f32 u2 (PI.f32)))) (/.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (log.f32 (*.f32 u2 (PI.f32)))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (*.f32 1/3 (/.f32 1 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (+.f32 (log.f32 (PI.f32)) (/.f32 (/.f32 1 u2) (PI.f32))) (fma.f32 -1 (neg.f32 (log.f32 u2)) (/.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3)))) (/.f32 1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (*.f32 u2 (PI.f32)))) (/.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(+.f32 (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (log.f32 (*.f32 u2 (PI.f32)))) (-.f32 (/.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3)) (/.f32 1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(+.f32 (log.f32 (*.f32 -1 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (log.f32 (neg.f32 (PI.f32))) (neg.f32 (log.f32 (/.f32 -1 u2))))
(-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (neg.f32 (PI.f32)))))
(+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (log.f32 (neg.f32 (PI.f32))))) (/.f32 1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(-.f32 (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (log.f32 (neg.f32 (PI.f32)))) (-.f32 (log.f32 (/.f32 -1 u2)) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 1/3 (/.f32 1 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u2)) (+.f32 (log.f32 (neg.f32 (PI.f32))) (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (/.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3))))) (/.f32 1/2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))) (+.f32 (+.f32 (/.f32 (/.f32 1 u2) (PI.f32)) (/.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(+.f32 (-.f32 (log.f32 (neg.f32 (PI.f32))) (log.f32 (/.f32 -1 u2))) (+.f32 (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (/.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3))) (/.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (*.f32 -1/2 (sqrt.f32 -1)) u1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 u1 u1)) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (/.f32 u1 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (/.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) u1)) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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)))))))))))
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(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 2))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 (*.f32 (PI.f32) u2) 1))
(log1p.f32 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3))
(log1p.f32 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (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 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (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 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (-.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)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) 1) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (-.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)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2))))) 2)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 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 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2)))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2)))) 3))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2))))) 1))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.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 (PI.f32) (*.f32 u2 2))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 (neg.f32 u1))
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
Compiler

Compiled 26 to 10 computations (61.5% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(log1p.f32 (neg.f32 u1))
0.0ms
u1
@-inf
(log1p.f32 (neg.f32 u1))
0.0ms
u1
@inf
(log1p.f32 (neg.f32 u1))

rewrite46.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1018×associate-*r*
764×add-sqr-sqrt
752×*-un-lft-identity
714×pow1
700×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059
11015
212195
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(log1p.f32 (neg.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (log1p.f32 u1) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))))

simplify57.0ms (0.4%)

Algorithm
egg-herbie
Rules
1344×associate-*r*
1324×associate-+r+
1134×associate-*l*
828×associate-+l-
514×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01121076
1280870
2894836
34685834
Stop Event
node limit
Counts
44 → 92
Calls
Call 1
Inputs
(*.f32 -1 u1)
(+.f32 (*.f32 -1 u1) (*.f32 -1/2 (pow.f32 u1 2)))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(+.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 (+.f32 (log1p.f32 u1) 1) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 1 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (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 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (cbrt.f32 (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) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
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 (*.f32 u1 u1)))
(-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1)
(fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1))
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2))))
(fma.f32 -1 u1 (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3))) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)
(-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(+.f32 (*.f32 -1 u1) (+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/3 (pow.f32 u1 3)) (*.f32 -1/2 (pow.f32 u1 2)))))
(fma.f32 -1 u1 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/3 (pow.f32 u1 3) (*.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (*.f32 -1/3 (pow.f32 u1 3)))) u1)
(-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)
(-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) 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 (log.f32 -1) (+.f32 (log.f32 u1) (/.f32 -1 u1)))
(+.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (/.f32 -1 u1))
(-.f32 (log.f32 u1) (-.f32 (/.f32 1 u1) (log.f32 -1)))
(-.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 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(-.f32 (log.f32 u1) (-.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (log.f32 -1)))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))))
(+.f32 (log.f32 u1) (+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 -1 u1) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))))
(+.f32 (log.f32 -1) (+.f32 (log.f32 u1) (+.f32 (-.f32 (/.f32 -1 u1) (/.f32 (/.f32 1/2 u1) u1)) (/.f32 -1/3 (pow.f32 u1 3)))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (/.f32 -1 u1) (log.f32 (/.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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 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 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1 u1)))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))) (/.f32 -1/3 (pow.f32 u1 3)))
(+.f32 (-.f32 (/.f32 -1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 -1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log1p.f32 u1) 1) 1)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (log1p.f32 u1) 1)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (fabs.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (fabs.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) 3))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(pow.f32 (log1p.f32 u1) 1)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(log.f32 (+.f32 u1 1))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) 0)
(log1p.f32 u1)

localize56.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.2b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (PI.f32) u2)
1.1b
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
Compiler

Compiled 51 to 26 computations (49% saved)

series23.0ms (0.2%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
17.0ms
u2
@inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.0ms
u2
@0
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@-inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))

rewrite80.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1152×unswap-sqr
992×swap-sqr
498×distribute-rgt-in
460×distribute-lft-in
336×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01746
133542
2387042
Stop Event
node limit
Counts
2 → 54
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify88.0ms (0.7%)

Algorithm
egg-herbie
Rules
1636×distribute-lft-in
1316×associate-/r*
1148×associate-/l*
692×associate-*r/
646×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02765322
17754888
236064832
Stop Event
node limit
Counts
82 → 144
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 u1 3)))))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (*.f32 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(-.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 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.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 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) 1/3)
(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (log.f32 (sqrt.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 (sqrt.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(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)
(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 (sqrt.f32 (log1p.f32 u1)) 3) (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 (sqrt.f32 (log1p.f32 u1)) 3)))
(expm1.f32 (log1p.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))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 -1/4 (*.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 -1/4 (*.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 -1/4 (*.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 (+.f32 -1/4 (*.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
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(pow.f32 (exp.f32 1/2) (log.f32 (log1p.f32 u1)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(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 (sqrt.f32 (log1p.f32 u1)) 3))
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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 (sqrt.f32 (log1p.f32 u1)) (+.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))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.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))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (exp.f32 (log1p.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 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.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 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.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 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.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 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.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 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (-.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)))
(pow.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)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(*.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)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.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)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.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)))
(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 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.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)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.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)))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.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)))
(cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(*.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)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(*.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)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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)))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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)))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (log1p.f32 u1))
0.2b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
0.4b
(*.f32 (PI.f32) (+.f32 u2 u2))
1.0b
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
Compiler

Compiled 58 to 12 computations (79.3% saved)

series4.0ms (0%)

Counts
4 → 60
Calls

18 calls:

TimeVariablePointExpression
0.0ms
u1
@-inf
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms
u2
@inf
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
0.0ms
u1
@0
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.0ms
u1
@inf
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1086×unswap-sqr
814×swap-sqr
572×distribute-rgt-in
570×associate-*r/
562×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01590
129490
2357948
Stop Event
node limit
Counts
4 → 84
Calls
Call 1
Inputs
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.f32 (PI.f32) (+.f32 u2 u2))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (log1p.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 0) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 0)) (*.f32 (sqrt.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (*.f32 (cbrt.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 0) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cos.f32 0) (cbrt.f32 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((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
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simplify119.0ms (0.9%)

Algorithm
egg-herbie
Rules
1828×unswap-sqr
886×associate-/r*
704×associate-*r/
698×associate-/l*
670×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02857470
18336882
230686514
Stop Event
node limit
Counts
144 → 163
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
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(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))) (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))) (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
0
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(-.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 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.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 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(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))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log.f32 u1))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (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 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 1/2 (/.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 -1 (log.f32 u1))))) u1)))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (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 (neg.f32 (log.f32 u1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 1/2 (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 u1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 u1 u1)))) (*.f32 1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (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 (neg.f32 (log.f32 u1))))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (/.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 u1 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 1/2 (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1))) (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (pow.f32 u1 3)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (*.f32 1/2 (+.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) u1)) (*.f32 (/.f32 (+.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(fma.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) u1))))
(fma.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1))))
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(*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (cos.f32 0) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (cos.f32 0) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 1 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 1 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (*.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) (sqrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))) (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))) (cbrt.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 1 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 1 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
0
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))) (sqrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 2)) (cbrt.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (cos.f32 0)) (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(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 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.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 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.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 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(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) 1/4) 2)
(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 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(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))
(cbrt.f32 (*.f32 1 (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.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 (sqrt.f32 (log1p.f32 u1))) 1))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))

localize123.0ms (0.9%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
0.4b
(*.f32 (PI.f32) (*.f32 2 u2))
0.5b
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
15.1b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 73 to 55 computations (24.7% saved)

series13.0ms (0.1%)

Counts
3 → 21
Calls

12 calls:

TimeVariablePointExpression
3.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
2.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
2.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))

rewrite102.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
572×distribute-rgt-in
516×associate-*r/
510×distribute-lft-in
446×associate-*l/
362×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01973
138467
2434967
Stop Event
node limit
Counts
3 → 68
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 (PI.f32) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 u2)) (*.f32 (sqrt.f32 (*.f32 2 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (*.f32 2 u2)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 u2)) 2) (*.f32 (cbrt.f32 (*.f32 2 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) 2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4)) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 2 u2))) (sqrt.f32 (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 2 u2)) 2)) (cbrt.f32 (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 2 u2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) 2) 1) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) 2) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))))))

simplify165.0ms (1.2%)

Algorithm
egg-herbie
Rules
1374×associate-/l/
942×*-commutative
804×unswap-sqr
724×fma-def
544×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02223717
15613227
221033061
368763061
Stop Event
node limit
Counts
89 → 110
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 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.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) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (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 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 u2 (*.f32 (PI.f32) 2))
(*.f32 (*.f32 2 u2) (PI.f32))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(*.f32 1 (*.f32 (PI.f32) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (*.f32 2 u2)) (*.f32 (sqrt.f32 (*.f32 2 u2)) (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 2 u2)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (*.f32 2 u2)) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 2 u2)) 2) (*.f32 (cbrt.f32 (*.f32 2 u2)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) 2) u2)
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4)) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1/4))
(*.f32 (*.f32 (PI.f32) u2) 2)
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (*.f32 2 u2))) (sqrt.f32 (*.f32 2 u2)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 2 u2)) 2)) (cbrt.f32 (*.f32 2 u2)))
(*.f32 (*.f32 (*.f32 2 u2) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 2 u2) (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) 2) 1) u2)
(*.f32 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (*.f32 (PI.f32) 2) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) (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 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (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 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) (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 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 u1 u1))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (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 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))))
(fma.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (+.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (*.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 -1) u1)) (/.f32 (fma.f32 1/4 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))) 1/2) u1)))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.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) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (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 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (pow.f32 (sqrt.f32 2) 2) (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)))))) (fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 2) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.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 (sqrt.f32 -1) (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 (pow.f32 u1 3) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (*.f32 -1/2 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 u1 u1))))))
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(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 2 u2))) (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 2 u2)) (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (*.f32 2 u2)) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (*.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (*.f32 (PI.f32) 2) 1) u2)
(*.f32 (PI.f32) (*.f32 2 u2))
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(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) 2) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
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(*.f32 u2 (*.f32 2 (PI.f32)))
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(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
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(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
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(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
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(*.f32 (PI.f32) (*.f32 2 u2))
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(pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 1)
(*.f32 (PI.f32) (*.f32 2 u2))
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(*.f32 (PI.f32) (*.f32 2 u2))
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(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2) 1/2)
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(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) 1/3)
(*.f32 (PI.f32) (*.f32 2 u2))
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(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2))
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(log.f32 (pow.f32 (pow.f32 (exp.f32 2) u2) (PI.f32)))
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(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (*.f32 2 u2) 3)))
(*.f32 (PI.f32) (*.f32 2 u2))
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(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 u2) 3) (pow.f32 (PI.f32) 3)))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (PI.f32) (*.f32 2 u2))
(*.f32 u2 (*.f32 2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (PI.f32) (*.f32 2 u2))
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(*.f32 2 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))) 1)
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 2)
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 3)
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3) 1/3)
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) 3))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
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(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

eval869.0ms (6.5%)

Compiler

Compiled 31532 to 20622 computations (34.6% saved)

prune422.0ms (3.2%)

Pruning

49 alts after pruning (43 fresh and 6 done)

PrunedKeptTotal
New1063211084
Fresh42226
Picked011
Done156
Total1068491117
Error
0.0b
Counts
1117 → 49
Alt Table
Click to see full alt table
StatusErrorProgram
8.4b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
12.0b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
7.9b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.7b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
8.7b
(*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
8.2b
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
7.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
2.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
8.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.2b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.2b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
11.1b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
3.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (*.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
10.1b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 -2 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))) 1))
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
30.4b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
9.6b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
8.2b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.9b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
9.1b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
11.6b
(sqrt.f32 (log1p.f32 u1))
20.7b
(sqrt.f32 (log.f32 (+.f32 1 u1)))
11.6b
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
Compiler

Compiled 1661 to 1350 computations (18.7% saved)

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)))
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
0.4b
(*.f32 (PI.f32) u2)
13.7b
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
Compiler

Compiled 72 to 38 computations (47.2% saved)

series2.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
0.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))

rewrite92.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1382×associate-*r/
1210×associate-*l/
404×add-sqr-sqrt
392×*-un-lft-identity
390×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01987
139861
2513861
Stop Event
node limit
Counts
3 → 143
Calls
Call 1
Inputs
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (fma.f32 (PI.f32) u2 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (fma.f32 (PI.f32) u2 -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (fma.f32 (PI.f32) u2 -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (PI.f32) u2 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 (PI.f32) u2 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (fma.f32 (PI.f32) u2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (sqrt.f32 (fma.f32 (PI.f32) u2 1))) (-.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (*.f32 (PI.f32) u2) 2) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2)) (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (+.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (*.f32 (fma.f32 (PI.f32) u2 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3)) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3))) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0)) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3))) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1))) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (neg.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1))) (sqrt.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1))) (cbrt.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)))) (cbrt.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) 1) (+.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) 1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) 1) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (*.f32 (fma.f32 (PI.f32) u2 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0) 1) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3)) 1) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)) 1) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3))) 1) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 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2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) 1) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) 1) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))))

simplify173.0ms (1.3%)

Algorithm
egg-herbie
Rules
1468×associate-*r/
1148×associate-*l/
764×associate-*r*
714×associate-+r+
692×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04508891
111697817
253057757
Stop Event
node limit
Counts
187 → 247
Calls
Call 1
Inputs
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 2/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/45 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 2/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 1 (+.f32 (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(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 (PI.f32) u2) 0)
(+.f32 1 (fma.f32 (PI.f32) u2 -1))
(+.f32 1 (+.f32 (fma.f32 (PI.f32) u2 -1) 0))
(+.f32 1 (-.f32 (fma.f32 (PI.f32) u2 -1) 0))
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
(+.f32 0 (*.f32 (PI.f32) u2))
(+.f32 (fma.f32 (PI.f32) u2 -1) 1)
(+.f32 -1 (fma.f32 (PI.f32) u2 1))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 1 (*.f32 (PI.f32) u2))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 1))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 1))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (/.f32 1 (+.f32 (*.f32 (PI.f32) u2) 2)))
(*.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (/.f32 1 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (+.f32 1 (sqrt.f32 (fma.f32 (PI.f32) u2 1))) (-.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) 1))
(/.f32 1 (/.f32 (+.f32 (*.f32 (PI.f32) u2) 2) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2)) (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1) (+.f32 (*.f32 (PI.f32) u2) 2))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2)))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3)) (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (-.f32 1 (*.f32 (fma.f32 (PI.f32) u2 1) -1))))
(/.f32 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0) (*.f32 (PI.f32) u2))
(/.f32 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3)) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) -1)) (neg.f32 (+.f32 (*.f32 (PI.f32) u2) 2)))
(/.f32 (neg.f32 (+.f32 -1 (pow.f32 (fma.f32 (PI.f32) u2 1) 3))) (neg.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 (*.f32 (PI.f32) u2) 2))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 0)) (*.f32 (PI.f32) u2))
(/.f32 (*.f32 1 (+.f32 0 (pow.f32 (*.f32 (PI.f32) u2) 3))) (+.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (-.f32 0 (*.f32 (*.f32 (PI.f32) u2) 0))))
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(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 2))
(log.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
Outputs
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 (*.f32 -1/2 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.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)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (/.f32 u1 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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)))))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.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)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (+.f32 1/3 (/.f32 (*.f32 1/2 (+.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 (*.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.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) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) u1)))
(fma.f32 -1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 -1/2 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) u1) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 u1 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (fma.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 -1/2 (+.f32 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) u1) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 u1 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(fma.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 (/.f32 -1 u1))))) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) u1) (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 u1 u1)) (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(fma.f32 -2 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sqrt.f32 -1) (*.f32 -2 (*.f32 (sqrt.f32 -1) (pow.f32 (*.f32 u2 (PI.f32)) 2)))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 2/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(fma.f32 -2 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))) (fma.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 2/3 (*.f32 (sqrt.f32 (log.f32 (-.f32 1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (pow.f32 u2 4)) (pow.f32 (PI.f32) 4))))))
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(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.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))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.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)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 1 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.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))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.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)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) 1) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) 1) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.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))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(/.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)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4)))
(pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 1)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 2)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 3)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 3) 1/3)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 2))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)) 3))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(exp.f32 (log.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 1))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(fma.f32 (cos.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

localize21.0ms (0.2%)

Compiler

Compiled 20 to 9 computations (55% saved)

localize34.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 u1)
0.0b
(pow.f32 (log1p.f32 u1) 1/4)
0.4b
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
Compiler

Compiled 27 to 19 computations (29.6% saved)

series9.0ms (0.1%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
4.0ms
u1
@inf
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
2.0ms
u1
@-inf
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
1.0ms
u1
@-inf
(pow.f32 (log1p.f32 u1) 1/4)
1.0ms
u1
@0
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
0.0ms
u1
@inf
(pow.f32 (log1p.f32 u1) 1/4)

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1442×add-sqr-sqrt
1420×*-un-lft-identity
1328×add-cube-cbrt
1318×add-cbrt-cube
1302×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
118925
2202625
Stop Event
node limit
Counts
3 → 62
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 u1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/8) (*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))))))

simplify93.0ms (0.7%)

Algorithm
egg-herbie
Rules
838×associate-/r*
748×+-commutative
724×associate-+l+
710×associate-+r+
646×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03265360
18994868
230364552
Stop Event
node limit
Counts
98 → 192
Calls
Call 1
Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(+.f32 (*.f32 (+.f32 (*.f32 23/192 (sqrt.f32 u1)) (*.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(+.f32 (*.f32 (+.f32 (*.f32 -39/512 (sqrt.f32 u1)) (*.f32 -23/1536 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (*.f32 (+.f32 (*.f32 23/192 (sqrt.f32 u1)) (*.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 1/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (-.f32 (+.f32 (*.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (*.f32 1/24 (-.f32 (*.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (*.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (*.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (*.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (pow.f32 u1 3)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 1/16 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)))))) (pow.f32 u1 2)) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (*.f32 1/16 (*.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2)))) (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (*.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (+.f32 (*.f32 -1 (/.f32 (+.f32 (*.f32 2 (*.f32 (-.f32 (+.f32 (*.f32 -1/24 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 2 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (*.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (*.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))))))) (pow.f32 u1 3))) (+.f32 (*.f32 2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 (+.f32 (*.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))) (*.f32 1/16 (*.f32 (sqrt.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (/.f32 1 (pow.f32 u1 2))))))))
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (*.f32 -1/8 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (*.f32 -1/8 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4)) (*.f32 23/384 (pow.f32 (*.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (+.f32 (*.f32 -39/1024 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/4)) (+.f32 (*.f32 -1/8 (pow.f32 (*.f32 1 (pow.f32 u1 5)) 1/4)) (*.f32 23/384 (pow.f32 (*.f32 1 (pow.f32 u1 9)) 1/4)))))
(pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)
(+.f32 (*.f32 -1/4 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))
(+.f32 (*.f32 -1/4 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (*.f32 (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4)))
(+.f32 (*.f32 -1/4 (*.f32 (pow.f32 (/.f32 -1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (*.f32 (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (-.f32 (+.f32 (*.f32 -1/32 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (*.f32 1/24 (-.f32 (*.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (*.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (*.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (*.f32 1/384 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (pow.f32 u1 3))) (+.f32 (*.f32 (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4) (/.f32 (+.f32 (*.f32 1/32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 1/8 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 u1 2))) (pow.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) 1/4))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4)
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (*.f32 (pow.f32 (*.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (*.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2)))))
(+.f32 (*.f32 1/4 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 1/4) (+.f32 (*.f32 (pow.f32 (*.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4) (/.f32 (+.f32 (*.f32 -1/8 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)))) (pow.f32 u1 2))) (*.f32 -1 (*.f32 (/.f32 (-.f32 (+.f32 (*.f32 -1/24 (+.f32 (*.f32 2 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))) (+.f32 (*.f32 3 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 2 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (*.f32 1/32 (/.f32 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (*.f32 1/384 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)) (pow.f32 (*.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/4))))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
(+.f32 (*.f32 -1/4 (pow.f32 u1 4)) (+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/4)))
(*.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 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/8)) (pow.f32 (log1p.f32 u1) 1/8))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (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))
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3))
(expm1.f32 (log1p.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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1)
(*.f32 1 (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/8) (pow.f32 (log1p.f32 u1) 1/8))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 1 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/4))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (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 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4)
(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)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(log.f32 (+.f32 u1 1))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1))
(fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(+.f32 (*.f32 (+.f32 (*.f32 23/192 (sqrt.f32 u1)) (*.f32 1/64 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (*.f32 -1/4 (sqrt.f32 (pow.f32 u1 3))) (sqrt.f32 u1)))
(fma.f32 (*.f32 (sqrt.f32 u1) 13/96) (*.f32 u1 u1) (fma.f32 -1/4 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
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(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/4) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/4))
(sqrt.f32 (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/2)
(fabs.f32 (pow.f32 (log1p.f32 u1) 1/4))
(pow.f32 (log1p.f32 u1) 1/4)
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/4))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(exp.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/4)
(exp.f32 (*.f32 (*.f32 1/4 (log.f32 (log1p.f32 u1))) 1))
(pow.f32 (log1p.f32 u1) 1/4)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(pow.f32 (log1p.f32 u1) 1/4)
(-.f32 (+.f32 1 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (log1p.f32 u1) 1))
(+.f32 (log1p.f32 u1) 0)
(*.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4)
(log1p.f32 u1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
(log1p.f32 u1)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.3b
(pow.f32 (log1p.f32 u1) 3/2)
0.4b
(*.f32 (PI.f32) u2)
1.5b
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
Compiler

Compiled 48 to 28 computations (41.7% saved)

series66.0ms (0.5%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
40.0ms
u1
@0
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.0ms
u2
@0
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
4.0ms
u1
@-inf
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
3.0ms
u1
@inf
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
2.0ms
u1
@inf
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1224×unswap-sqr
950×swap-sqr
608×sqr-pow
416×distribute-rgt-in
370×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01757
135653
2408853
Stop Event
node limit
Counts
3 → 84
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))) (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (log1p.f32 u1) 3/8)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (log1p.f32 u1) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 3/8)) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/8) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) 1/6) (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))))))
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simplify135.0ms (1%)

Algorithm
egg-herbie
Rules
1172×associate-*r/
910×+-commutative
828×associate-*r*
694×associate-*l*
682×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051810128
115378810
257218786
Stop Event
node limit
Counts
128 → 229
Calls
Call 1
Inputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (*.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (*.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (*.f32 1/3 (*.f32 (-.f32 (*.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (*.f32 -1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (pow.f32 (sqrt.f32 -1) 1/3) (*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (sqrt.f32 -1) 1/3) (*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (*.f32 1/3 (/.f32 (-.f32 (*.f32 (*.f32 (+.f32 (*.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (*.f32 1/2 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (sqrt.f32 -1) 1/3) (*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 (+.f32 (*.f32 -9/8 (/.f32 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (log.f32 (/.f32 1 u1)))) (*.f32 1/4 (-.f32 (*.f32 3 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (+.f32 (*.f32 2 (/.f32 1 (log.f32 (/.f32 1 u1)))) (*.f32 2 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3))))))) (*.f32 9/16 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (*.f32 (*.f32 (+.f32 (*.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (*.f32 1/2 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))))) (+.f32 (*.f32 -1/8 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))) (*.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))) 1/3) (-.f32 (*.f32 (*.f32 (+.f32 (*.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (*.f32 1/2 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6))))))))))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 3))))) (*.f32 1/3 (/.f32 (-.f32 (*.f32 (*.f32 (+.f32 (*.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (*.f32 1/2 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (pow.f32 (*.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/6) (/.f32 1 u1))) (+.f32 (*.f32 1/3 (/.f32 (-.f32 (*.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (*.f32 9/8 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2))) (*.f32 -3/4 (+.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 2)) (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))) (*.f32 3/4 (pow.f32 (*.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 5)) 1/6))) (*.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
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(*.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))
(*.f32 (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)) (*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/12))
(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))))
(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))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2))) 1)
(*.f32 (pow.f32 (log1p.f32 u1) 3/2) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))
(*.f32 1 (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (log1p.f32 u1) 3/4) (pow.f32 (log1p.f32 u1) 3/4))
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))) (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (log1p.f32 u1) 3/8)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (log1p.f32 u1) 3/8)))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 3/8)) (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4) (pow.f32 (log1p.f32 u1) 3/8)))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3/4)) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)))
(*.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)) (*.f32 (pow.f32 (log1p.f32 u1) 3/8) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/4)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/8) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3/8))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) 1/6) (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3) 1/6))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2))))
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(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)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(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))))))
(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))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(sqrt.f32 u1)
(+.f32 (*.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1))
(fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1))
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (*.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (sqrt.f32 u1)))
(fma.f32 1/3 (*.f32 u1 (+.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(fma.f32 1/3 (*.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)))
(+.f32 (*.f32 1/3 (*.f32 (-.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))) u1)) (+.f32 (*.f32 -1/4 (pow.f32 (*.f32 1 (pow.f32 u1 13)) 1/6)) (+.f32 (sqrt.f32 u1) (*.f32 1/3 (*.f32 (-.f32 (*.f32 -63/128 (sqrt.f32 (pow.f32 u1 3))) (+.f32 (*.f32 -1/64 (sqrt.f32 (pow.f32 u1 7))) (*.f32 -1/2 (*.f32 (pow.f32 (*.f32 1 (pow.f32 u1 2)) 1/3) (-.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/16 (pow.f32 (*.f32 1 (pow.f32 u1 17)) 1/6))))))) (pow.f32 u1 2))))))
(fma.f32 1/3 (*.f32 u1 (+.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6)))) (+.f32 (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (sqrt.f32 u1)) (*.f32 1/3 (*.f32 (*.f32 u1 u1) (-.f32 (*.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (sqrt.f32 (pow.f32 u1 7)) (*.f32 -1/2 (*.f32 (+.f32 (*.f32 19/32 (sqrt.f32 (pow.f32 u1 3))) (*.f32 -3/16 (pow.f32 (pow.f32 u1 17) 1/6))) (cbrt.f32 (*.f32 u1 u1))))))))))
(fma.f32 1/3 (*.f32 u1 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16))) (fma.f32 -1/4 (pow.f32 (pow.f32 u1 13) 1/6) (fma.f32 1/3 (*.f32 u1 (*.f32 u1 (-.f32 (*.f32 (sqrt.f32 (pow.f32 u1 3)) -63/128) (fma.f32 -1/64 (fabs.f32 (pow.f32 u1 7/2)) (*.f32 (fma.f32 19/32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 (pow.f32 (pow.f32 u1 17) 1/6) -3/16)) (*.f32 -1/2 (cbrt.f32 (*.f32 u1 u1)))))))) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 -1/2 (*.f32 (pow.f32 (sqrt.f32 -1) 1/3) (*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 -1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (*.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6)))))
(fma.f32 -1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (sqrt.f32 -1) 1/3) (*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 1/6) (/.f32 1 u1))))) (*.f32 1/3 (/.f32 (-.f32 (*.f32 (*.f32 (+.f32 (*.f32 9/8 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))) (*.f32 3/4 (-.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (sqrt.f32 -1)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 1/4 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))) (*.f32 1/2 (*.f32 (pow.f32 (pow.f32 (sqrt.f32 -1) 5) 1/3) (*.f32 (sqrt.f32 1) (pow.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 5) 1/6)))))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 u1 2)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (*.f32 (/.f32 1 u1) (pow.f32 (neg.f32 (log.f32 u1)) 1/6))) (*.f32 1/3 (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 9/8 (pow.f32 (neg.f32 (log.f32 u1)) 2)) (*.f32 3/4 (-.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (neg.f32 (log.f32 u1)) 3)))) (*.f32 (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) 3/4)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (*.f32 u1 u1) (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1)) (*.f32 -1/3 (/.f32 (fma.f32 (fma.f32 3/4 (+.f32 (/.f32 1 (neg.f32 (log.f32 u1))) (/.f32 -1 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 9/8 (*.f32 (log.f32 u1) (log.f32 u1)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (pow.f32 (log.f32 u1) 3)))) (*.f32 (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) -3/4)) (*.f32 u1 (*.f32 u1 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (*.f32 (cbrt.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 (neg.f32 (log.f32 u1)) 1/6) u1)) (/.f32 (*.f32 -1/3 (fma.f32 (+.f32 (/.f32 9/8 (*.f32 (log.f32 u1) (log.f32 u1))) (+.f32 (/.f32 3/4 (neg.f32 (log.f32 u1))) (/.f32 -3/4 (*.f32 (log.f32 u1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (pow.f32 (log.f32 u1) 3)))) (*.f32 (*.f32 (cbrt.f32 (pow.f32 (sqrt.f32 -1) 5)) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 5) 1/6)) -3/4))) (*.f32 u1 (*.f32 u1 (neg.f32 (log.f32 u1)))))))
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(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (+.f32 (pow.f32 (sin.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 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.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 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (*.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (+.f32 (pow.f32 (sin.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 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.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 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (-.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)))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2))))) 2)
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2))))) 3)
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(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 (*.f32 2 u2) (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 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 2 u2) (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 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) 3)))
(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 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.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 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cos.f32 (*.f32 (*.f32 2 u2) (PI.f32))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (log1p.f32 u1))
0.2b
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (PI.f32) u2)
1.4b
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
Compiler

Compiled 50 to 20 computations (60% saved)

series36.0ms (0.3%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
22.0ms
u2
@inf
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
4.0ms
u1
@-inf
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
3.0ms
u1
@inf
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
2.0ms
u1
@0
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
1.0ms
u1
@-inf
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite81.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1244×unswap-sqr
952×swap-sqr
426×distribute-rgt-in
380×distribute-lft-in
346×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01766
133942
2403142
Stop Event
node limit
Counts
2 → 58
Calls
Call 1
Inputs
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 (log.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (cbrt.f32 (E.f32)) (log.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 1 (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (cbrt.f32 (exp.f32 2)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (pow.f32 (cbrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (cbrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 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simplify114.0ms (0.9%)

Algorithm
egg-herbie
Rules
1718×associate-/r*
1068×associate-*r/
858×associate-*l/
538×associate-/r/
532×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03729574
111158020
242687876
Stop Event
node limit
Counts
86 → 167
Calls
Call 1
Inputs
(pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32)))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (log.f32 (E.f32))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) u1)))))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (*.f32 (-.f32 (*.f32 -1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (log.f32 (E.f32)))) (*.f32 1/8 (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32)))) (pow.f32 u1 2)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (log.f32 (E.f32))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) u1))))))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (*.f32 (-.f32 (*.f32 -1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (log.f32 (E.f32)))) (*.f32 1/8 (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32)))) (pow.f32 u1 2)) (+.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (-.f32 (*.f32 -1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 (log.f32 (E.f32)) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 1/48 (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (*.f32 (pow.f32 (sqrt.f32 -1) 6) (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (*.f32 1/6 (*.f32 (+.f32 (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 6) (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (+.f32 (*.f32 3/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (*.f32 3 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (log.f32 (E.f32))))))) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (log.f32 (E.f32))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) u1)))))))
(pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (log.f32 (E.f32))) (*.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) u1))) (pow.f32 (E.f32) (log.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
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(*.f32 (*.f32 (pow.f32 1 (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 1 (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (exp.f32 2)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (cbrt.f32 (exp.f32 2)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (pow.f32 (cbrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (cbrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (*.f32 (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))) (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (*.f32 (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4)) (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))) (*.f32 (pow.f32 (E.f32) (/.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 4)) (pow.f32 (sqrt.f32 (E.f32)) (log.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(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))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(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)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(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))))))
(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))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32)))
(pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) 1)
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (log.f32 (E.f32))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) u1)))))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) 1) (*.f32 1/2 (*.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) 1) (pow.f32 (sqrt.f32 -1) 2)) (/.f32 1 (*.f32 u1 (neg.f32 (log.f32 u1)))))))
(fma.f32 1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 u1 (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (/.f32 (*.f32 (/.f32 1/2 (log.f32 u1)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))) u1))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (*.f32 (-.f32 (*.f32 -1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (log.f32 (E.f32)))) (*.f32 1/8 (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32)))) (pow.f32 u1 2)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (log.f32 (E.f32))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) u1))))))
(+.f32 (+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) 1) (/.f32 (fma.f32 1/2 (*.f32 1 (-.f32 (neg.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2)))) (/.f32 1/4 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (neg.f32 (log.f32 u1)) 2))))) (/.f32 1/8 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (neg.f32 (log.f32 u1)) 2)))) (/.f32 (*.f32 u1 u1) (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) 1)))) (*.f32 1/2 (*.f32 (/.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) 1) (pow.f32 (sqrt.f32 -1) 2)) (/.f32 1 (*.f32 u1 (neg.f32 (log.f32 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (*.f32 u1 (neg.f32 (log.f32 u1))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) u1) (/.f32 (fma.f32 1/2 (+.f32 (*.f32 1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1)))) (/.f32 -1/4 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) u1))))
(+.f32 (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) (/.f32 (*.f32 (/.f32 1/2 (log.f32 u1)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))) u1)) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1)))) u1) (/.f32 (+.f32 (+.f32 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1)))) (/.f32 -1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) (/.f32 1/8 (*.f32 (log.f32 u1) (log.f32 u1)))) u1)))
(+.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (+.f32 (/.f32 (*.f32 (+.f32 (*.f32 1/2 (*.f32 (-.f32 (*.f32 -1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (log.f32 (E.f32)))) (*.f32 1/8 (/.f32 (pow.f32 (log.f32 (E.f32)) 2) (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32)))) (pow.f32 u1 2)) (+.f32 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (+.f32 (*.f32 1/4 (/.f32 (*.f32 (-.f32 (*.f32 -1 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2))))) (pow.f32 (log.f32 (E.f32)) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))) (+.f32 (*.f32 1/48 (/.f32 (pow.f32 (log.f32 (E.f32)) 3) (*.f32 (pow.f32 (sqrt.f32 -1) 6) (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (*.f32 1/6 (*.f32 (+.f32 (*.f32 1/4 (/.f32 1 (*.f32 (pow.f32 (sqrt.f32 -1) 6) (pow.f32 (log.f32 (/.f32 1 u1)) 3)))) (+.f32 (*.f32 3/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)))) (*.f32 3 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (log.f32 (E.f32))))))) (pow.f32 u1 3)) (*.f32 1/2 (/.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (log.f32 (E.f32))) (log.f32 (E.f32))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (log.f32 (/.f32 1 u1)) u1)))))))
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(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (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 (sqrt.f32 (log1p.f32 u1)) (+.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))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.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)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.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))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (sqrt.f32 (log1p.f32 u1))) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (exp.f32 (log1p.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 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (-.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)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (-.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 (-.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)) (fma.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (log1p.f32 u1)))
(pow.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)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(*.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)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.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)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.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)))
(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 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))
(*.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)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.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)))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.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)))
(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 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 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)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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)))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.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)))

eval1.6s (12.2%)

Compiler

Compiled 37866 to 26313 computations (30.5% saved)

prune446.0ms (3.3%)

Pruning

53 alts after pruning (45 fresh and 8 done)

PrunedKeptTotal
New93515950
Fresh83038
Picked011
Done3710
Total94653999
Error
0.0b
Counts
999 → 53
Alt Table
Click to see full alt table
StatusErrorProgram
7.8b
(/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
8.4b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
12.0b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
11.7b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
11.2b
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
12.8b
(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
8.4b
(*.f32 (pow.f32 (exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
8.2b
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
8.2b
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.5b
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
14.1b
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
0.5b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
7.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
2.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
8.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.2b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 3))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
3.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (*.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
10.1b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)) 1))
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
7.2b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.1b
(*.f32 (sqrt.f32 u1) 1)
30.4b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
9.6b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
8.2b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.9b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
9.1b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
11.6b
(sqrt.f32 (log1p.f32 u1))
20.7b
(sqrt.f32 (log.f32 (+.f32 1 u1)))
11.6b
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
Compiler

Compiled 1715 to 1415 computations (17.5% saved)

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.1b
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
13.7b
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
Compiler

Compiled 65 to 38 computations (41.5% saved)

series4.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
0.0ms
u2
@-inf
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
0.0ms
u2
@inf
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))

rewrite168.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
860×distribute-lft-in
846×associate-*r/
676×associate-*l/
406×add-sqr-sqrt
392×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02093
140875
2490975
Stop Event
node limit
Counts
3 → 144
Calls
Call 1
Inputs
(+.f32 (fma.f32 (PI.f32) u2 1) -1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 (PI.f32) u2 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 2) (+.f32 2 (*.f32 (PI.f32) u2))) (/.f32 1 (+.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 -1 (+.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 0 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 0 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (sqrt.f32 (+.f32 0 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify172.0ms (1.3%)

Algorithm
egg-herbie
Rules
1004×associate-+r+
976×associate-+l+
858×+-commutative
680×associate-*r*
578×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048110680
113198942
256418734
Stop Event
node limit
Counts
188 → 272
Calls
Call 1
Inputs
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.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)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.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 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2))))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 -1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (-.f32 1 u1))))
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(fma.f32 (sqrt.f32 (fma.f32 (PI.f32) u2 1)) (sqrt.f32 (fma.f32 (PI.f32) u2 1)) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (PI.f32) u2 1)) 2) (cbrt.f32 (fma.f32 (PI.f32) u2 1)) -1)
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))))))
(+.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))) 1)
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))) (sqrt.f32 (log1p.f32 u1))) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3)) (sqrt.f32 (log1p.f32 u1))) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 2)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
(+.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(+.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (+.f32 (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) (*.f32 1 (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (*.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))))))
(+.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (*.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))))
(+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (+.f32 (*.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (+.f32 (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (*.f32 1 (*.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))))))
(+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (*.f32 1 (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(+.f32 (*.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))
(+.f32 (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))
(+.f32 (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))
(+.f32 (-.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 1/2) (*.f32 1/2 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(-.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))
(-.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (-.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) 1)
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))) (-.f32 1 (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(-.f32 (*.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (*.f32 (sin.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2)))
(-.f32 (*.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (-.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2)) (fma.f32 (neg.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))))
(*.f32 1 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))
(*.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 1)
(*.f32 (sqrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (sqrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(*.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) (pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 2) (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(*.f32 (+.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))) (-.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2)))))
(/.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3)) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(/.f32 (*.f32 1 (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))) 1) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3)) 1) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 1)
(pow.f32 (sqrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 3)
(pow.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 2))
(log.f32 (exp.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
(cbrt.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3))
(expm1.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(exp.f32 (log.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 1))
(log1p.f32 (expm1.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(fma.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
Outputs
(*.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 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
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(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3)) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(/.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))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))))
(/.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 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 1 (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(/.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))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))))
(/.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 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2))) 1) (+.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) 3)) 1) (+.f32 (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)) (*.f32 (pow.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2) (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))))
(/.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))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2))))
(/.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 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4)))
(pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 1)
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(pow.f32 (sqrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 2)
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(pow.f32 (cbrt.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 3)
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(pow.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3) 1/3)
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(sqrt.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 2))
(fabs.f32 (cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))
(log.f32 (exp.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cbrt.f32 (pow.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2)) 3))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(expm1.f32 (log1p.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(exp.f32 (log.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))) 1))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(log1p.f32 (expm1.f32 (cos.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) 2 -2))))
(cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1)))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(fma.f32 (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (cos.f32 (+.f32 0 (*.f32 (PI.f32) u2))) (neg.f32 (pow.f32 (sin.f32 (+.f32 0 (*.f32 (PI.f32) u2))) 2)))
(-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))

localize12.0ms (0.1%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 u1)
0.2b
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
0.3b
(pow.f32 (log1p.f32 u1) 3/2)
Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts
1 → 8
Calls

3 calls:

TimeVariablePointExpression
0.0ms
u1
@0
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
0.0ms
u1
@inf
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
0.0ms
u1
@-inf
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1324×add-sqr-sqrt
1292×*-un-lft-identity
1218×add-cube-cbrt
1204×add-cbrt-cube
1192×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
11609
218179
Stop Event
node limit
Counts
1 → 20
Calls
Call 1
Inputs
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify85.0ms (0.6%)

Algorithm
egg-herbie
Rules
1292×associate-/l/
842×associate-/r/
704×+-commutative
572×fma-def
474×associate-*r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141682
12911442
29221186
33480942
47917942
Stop Event
node limit
Counts
28 → 64
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 u1 3)))))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.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))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (log1p.f32 u1))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (/.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (sqrt.f32 -1)) (+.f32 (/.f32 1/2 u1) (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (*.f32 u1 u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (fma.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)) (/.f32 (*.f32 1/2 (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1)))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 1/2 (/.f32 (-.f32 1/3 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (log.f32 u1))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))))
(fma.f32 (sqrt.f32 -1) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2) -1/4) (*.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (fma.f32 1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 -1 (log.f32 u1))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (log.f32 u1)) 1/3) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))))
(sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
(sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))
(sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))
(sqrt.f32 (log.f32 u1))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) u1) (sqrt.f32 (log.f32 u1)))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 u1 u1))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))
(+.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 1/2 u1) (*.f32 -1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1))))))
(+.f32 (sqrt.f32 (log.f32 u1)) (*.f32 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) u1) (+.f32 (*.f32 (/.f32 (fma.f32 1/4 (/.f32 1 (log.f32 u1)) 1/2) u1) -1/2) 1/2)))
(+.f32 (sqrt.f32 (log.f32 u1)) (*.f32 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) u1) (+.f32 1/2 (*.f32 (/.f32 (fma.f32 1/4 (/.f32 1 (log.f32 u1)) 1/2) u1) -1/2))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 1 u1))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (pow.f32 u1 2)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (pow.f32 u1 3)))))))
(fma.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (+.f32 (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (*.f32 u1 u1))) (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (pow.f32 u1 3)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (pow.f32 u1 3))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))))
(+.f32 (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 1/2 (/.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (pow.f32 u1 3))) (/.f32 1/2 u1))))
(+.f32 (sqrt.f32 (log.f32 u1)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 u1))) (+.f32 (/.f32 (*.f32 (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (log.f32 u1)) 1/2) (log.f32 u1)) 1/3) 1/2) (pow.f32 u1 3)) (+.f32 (*.f32 -1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (log.f32 u1)) 1/2) (*.f32 u1 u1))) (/.f32 1/2 u1)))))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (fabs.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(*.f32 (pow.f32 1 1/3) (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(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)))
(pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/4) 1/6) 4)
(pow.f32 (log1p.f32 u1) 1/2)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(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 (sqrt.f32 (log1p.f32 u1)) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) 2)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (log1p.f32 u1))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(+.f32 (sqrt.f32 (log1p.f32 u1)) 0)
(sqrt.f32 (log1p.f32 u1))

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
0.1b
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))
0.2b
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
0.4b
(*.f32 (PI.f32) (*.f32 2 u2))
Compiler

Compiled 54 to 36 computations (33.3% saved)

series5.0ms (0%)

Counts
3 → 56
Calls

15 calls:

TimeVariablePointExpression
0.0ms
u2
@0
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
0.0ms
u2
@0
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))
0.0ms
u1
@0
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))
0.0ms
u1
@inf
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))
0.0ms
u2
@inf
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))

rewrite118.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1060×unswap-sqr
884×swap-sqr
530×sqr-pow
516×pow-sqr
348×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01599
129893
2343593
Stop Event
node limit
Counts
3 → 93
Calls
Call 1
Inputs
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
Outputs
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simplify148.0ms (1.1%)

Algorithm
egg-herbie
Rules
1306×distribute-lft-in
1106×associate-/l*
972×associate-/r*
660×associate-*r*
630×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03778481
110708013
236417981
Stop Event
node limit
Counts
149 → 245
Calls
Call 1
Inputs
1
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) 1)
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (*.f32 (+.f32 (*.f32 -8/45 (pow.f32 (PI.f32) 6)) (*.f32 -8/3 (pow.f32 (PI.f32) 6))) (pow.f32 u2 6)) (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4)))))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(log.f32 (+.f32 1 u1))
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))
(+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (log.f32 (+.f32 1 u1)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1))))
(+.f32 (*.f32 (+.f32 (*.f32 -8/45 (pow.f32 (PI.f32) 6)) (*.f32 -8/3 (pow.f32 (PI.f32) 6))) (*.f32 (pow.f32 u2 6) (log.f32 (+.f32 1 u1)))) (+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (log.f32 (+.f32 1 u1)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))))
(*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (+.f32 (*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))) (*.f32 1/3 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
(*.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(+.f32 (*.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)) (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(+.f32 (*.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(+.f32 (*.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)) (+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (*.f32 1/3 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (*.f32 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
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(*.f32 (pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/6) (pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/6))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1))
(pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)) 1/2)
(pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(fabs.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))) 1/2))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
Outputs
1
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) 1)
(fma.f32 -4 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(fma.f32 -4 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))))
(+.f32 (fma.f32 -4 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3)))
(fma.f32 -4 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3) 1))
(fma.f32 -4 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3) 1))
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 1 (+.f32 (*.f32 (+.f32 (*.f32 -8/45 (pow.f32 (PI.f32) 6)) (*.f32 -8/3 (pow.f32 (PI.f32) 6))) (pow.f32 u2 6)) (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4)))))))
(+.f32 (fma.f32 -4 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (fma.f32 (*.f32 (pow.f32 (PI.f32) 6) -128/45) (pow.f32 u2 6) (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3))))
(+.f32 (fma.f32 -4 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -128/45 (pow.f32 u2 6)))))
(+.f32 (fma.f32 -4 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 16/3) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -128/45 (pow.f32 u2 6)))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)
(log.f32 (+.f32 1 u1))
(log1p.f32 u1)
(+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))
(fma.f32 -4 (*.f32 (*.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (log1p.f32 u1))
(fma.f32 -4 (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (log1p.f32 u1))
(fma.f32 -4 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (*.f32 u2 (log1p.f32 u1)))) (log1p.f32 u1))
(+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (log.f32 (+.f32 1 u1)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1))))
(fma.f32 (pow.f32 u2 4) (*.f32 (*.f32 (pow.f32 (PI.f32) 4) 16/3) (log1p.f32 u1)) (fma.f32 -4 (*.f32 (*.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (log1p.f32 u1)))
(fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (log1p.f32 u1)))
(fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (*.f32 u2 (log1p.f32 u1)))) (log1p.f32 u1)))
(+.f32 (*.f32 (+.f32 (*.f32 -8/45 (pow.f32 (PI.f32) 6)) (*.f32 -8/3 (pow.f32 (PI.f32) 6))) (*.f32 (pow.f32 u2 6) (log.f32 (+.f32 1 u1)))) (+.f32 (*.f32 (pow.f32 u2 4) (*.f32 (log.f32 (+.f32 1 u1)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))))) (+.f32 (*.f32 -4 (*.f32 (pow.f32 u2 2) (*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (PI.f32) 2)))) (log.f32 (+.f32 1 u1)))))
(fma.f32 (*.f32 (pow.f32 (PI.f32) 6) -128/45) (*.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (*.f32 (*.f32 (pow.f32 (PI.f32) 4) 16/3) (log1p.f32 u1)) (fma.f32 -4 (*.f32 (*.f32 (*.f32 u2 u2) (log1p.f32 u1)) (pow.f32 (PI.f32) 2)) (log1p.f32 u1))))
(fma.f32 (*.f32 (pow.f32 (PI.f32) 6) -128/45) (*.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (*.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) (log1p.f32 u1)))) (log1p.f32 u1))))
(fma.f32 (*.f32 (pow.f32 (PI.f32) 6) -128/45) (*.f32 (pow.f32 u2 6) (log1p.f32 u1)) (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 16/3 (log1p.f32 u1))) (fma.f32 -4 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (*.f32 u2 (log1p.f32 u1)))) (log1p.f32 u1))))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (log.f32 (+.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))
(*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1)
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (*.f32 u1 u1)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.f32 (*.f32 u1 u1) -1/2)))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (*.f32 u1 u1)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)))
(fma.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 u1 3)) (fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.f32 (*.f32 u1 u1) -1/2))))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (*.f32 -1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4))) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))))
(fma.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3)) (fma.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (*.f32 u1 u1)) (fma.f32 -1/4 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 4)) (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))))
(fma.f32 1/3 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (pow.f32 u1 3)) (fma.f32 -1/2 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.f32 u1 u1)) (fma.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.f32 (pow.f32 u1 4) -1/4)))))
(*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(neg.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1))))
(*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (neg.f32 (neg.f32 (log.f32 u1))))
(+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))))
(+.f32 (neg.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))) (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1))
(fma.f32 (neg.f32 (neg.f32 (log.f32 u1))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))))
(+.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (*.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1)) (neg.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (neg.f32 (log.f32 u1)))))
(-.f32 (fma.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.f32 u1 u1)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1)) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (neg.f32 (log.f32 u1))))
(+.f32 (*.f32 -1/2 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) u1) (+.f32 (*.f32 -1 (*.f32 (log.f32 (/.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))) (*.f32 1/3 (/.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (pow.f32 u1 3))))))
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(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 4)) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 4)))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))) (fabs.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 4)))
(*.f32 (pow.f32 1 1/2) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 4) 1/2) (pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) 4)))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))) (fabs.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 4)))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (*.f32 (sqrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))) (*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) 2) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1))))
(*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))))))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))) (*.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1))))))))
(*.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3/2) (pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3/2))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/6) (pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/6))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))) (+.f32 1 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))))))
(pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)) 1/2)
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))
(pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (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 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (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 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (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 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (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 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1))) 1/2))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 u1)))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))

localize98.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
0.3b
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
0.4b
(*.f32 (PI.f32) (+.f32 u2 u2))
1.1b
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
Compiler

Compiled 74 to 31 computations (58.1% saved)

series3.0ms (0%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
0.0ms
u2
@inf
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
0.0ms
u2
@-inf
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
0.0ms
u1
@inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
0.0ms
u1
@-inf
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))

rewrite77.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
572×distribute-lft-in
564×distribute-rgt-in
562×associate-*r/
444×associate-*l/
388×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02060
141958
2471230
Stop Event
node limit
Counts
2 → 40
Calls
Call 1
Inputs
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (cos.f32 0)) (*.f32 (*.f32 1/2 (cos.f32 0)) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (cos.f32 0) 1/2) (*.f32 (cos.f32 0) (*.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 0) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (cos.f32 0) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 0) 3/2) (pow.f32 (cos.f32 0) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 0)) (*.f32 (sqrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (*.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 0) 2) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cos.f32 0) 2) 1) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3) (pow.f32 (sqrt.f32 (cos.f32 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3) (cos.f32 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (cos.f32 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 0) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 3 (log.f32 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 0) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))))))

simplify87.0ms (0.7%)

Algorithm
egg-herbie
Rules
1648×fma-def
1320×associate-/r/
1284×associate-/l/
850×*-commutative
570×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02372896
16972726
220712450
368392450
Stop Event
node limit
Counts
72 → 102
Calls
Call 1
Inputs
1
(+.f32 1 (*.f32 (pow.f32 u2 2) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2)))))
(+.f32 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 4 (pow.f32 (PI.f32) 4)) (*.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (*.f32 (pow.f32 u2 2) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))))))
(+.f32 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 4 (pow.f32 (PI.f32) 4)) (*.f32 8 (pow.f32 (PI.f32) 4)))))) (+.f32 1 (+.f32 (*.f32 (pow.f32 u2 2) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2)))) (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 -16/3 (pow.f32 (PI.f32) 6)) (+.f32 (*.f32 -8/45 (pow.f32 (PI.f32) 6)) (+.f32 (*.f32 -2 (*.f32 (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 4)) (*.f32 4 (pow.f32 (PI.f32) 4))) (pow.f32 (PI.f32) 2))) (*.f32 -4/45 (pow.f32 (PI.f32) 6)))))))))
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)))) (+.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(+.f32 (*.f32 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (cos.f32 0)) (*.f32 (*.f32 1/2 (cos.f32 0)) (cos.f32 0)))
(+.f32 (*.f32 (cos.f32 0) 1/2) (*.f32 (cos.f32 0) (*.f32 1/2 (cos.f32 0))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3))) 1)
(*.f32 (pow.f32 (cos.f32 0) 3) 1)
(*.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))
(*.f32 1 (pow.f32 (cos.f32 0) 3))
(*.f32 (pow.f32 (cos.f32 0) 3/2) (pow.f32 (cos.f32 0) 3/2))
(*.f32 (sqrt.f32 (cos.f32 0)) (*.f32 (sqrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (*.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))
(*.f32 (pow.f32 (cos.f32 0) 2) (cos.f32 0))
(*.f32 (*.f32 (pow.f32 (cos.f32 0) 2) 1) (cos.f32 0))
(*.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
(*.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
(*.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3) (pow.f32 (sqrt.f32 (cos.f32 0)) 3))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3) (cos.f32 0))
(/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) (cos.f32 0))) 2)
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (cos.f32 0)) 2)
(sqrt.f32 (pow.f32 (cos.f32 0) 6))
(log.f32 (exp.f32 (pow.f32 (cos.f32 0) 3)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 3))))
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3))
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3)))
(exp.f32 (*.f32 3 (log.f32 (cos.f32 0))))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 0))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 3)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 0)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))
(cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 0) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
Outputs
1
(+.f32 1 (*.f32 (pow.f32 u2 2) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2)))))
(+.f32 1 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -6)))
(fma.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) -6) 1)
(fma.f32 u2 (*.f32 u2 (*.f32 (pow.f32 (PI.f32) 2) -6)) 1)
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(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (fma.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) (*.f32 u1 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))))))
(+.f32 (fma.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (*.f32 -1/2 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (*.f32 u1 u1)))))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (fma.f32 1/4 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/2) (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) 1/3)))))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(sqrt.f32 (log1p.f32 u1))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2))) 1) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (PI.f32) 2) (*.f32 (*.f32 u2 u2) -2) 1))
(+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (fma.f32 2/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log1p.f32 u1))))
(+.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2))) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (fma.f32 (pow.f32 (PI.f32) 2) (*.f32 (*.f32 u2 u2) -2) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 2/3)))))
(+.f32 (*.f32 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (log.f32 (+.f32 1 u1))))) (sqrt.f32 (log.f32 (+.f32 1 u1))))))
(fma.f32 -4/45 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (*.f32 (pow.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1)))) (fma.f32 2/3 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (*.f32 (+.f32 (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) 1) (sqrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2))))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (*.f32 (pow.f32 (PI.f32) 2) (*.f32 (*.f32 u2 u2) -2))) (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) 1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log.f32 (+.f32 1 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (*.f32 1/2 (cos.f32 0)) (*.f32 (*.f32 1/2 (cos.f32 0)) (cos.f32 0)))
1
(+.f32 (*.f32 (cos.f32 0) 1/2) (*.f32 (cos.f32 0) (*.f32 1/2 (cos.f32 0))))
1
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3))) 1)
1
(*.f32 (pow.f32 (cos.f32 0) 3) 1)
1
(*.f32 (cos.f32 0) (pow.f32 (cos.f32 0) 2))
1
(*.f32 1 (pow.f32 (cos.f32 0) 3))
1
(*.f32 (pow.f32 (cos.f32 0) 3/2) (pow.f32 (cos.f32 0) 3/2))
1
(*.f32 (sqrt.f32 (cos.f32 0)) (*.f32 (sqrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))
1
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (*.f32 (cbrt.f32 (cos.f32 0)) (pow.f32 (cos.f32 0) 2)))
1
(*.f32 (pow.f32 (cos.f32 0) 2) (cos.f32 0))
1
(*.f32 (*.f32 (pow.f32 (cos.f32 0) 2) 1) (cos.f32 0))
1
(*.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (sqrt.f32 (cos.f32 0))) (sqrt.f32 (cos.f32 0)))
1
(*.f32 (*.f32 (pow.f32 (cos.f32 0) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2)) (cbrt.f32 (cos.f32 0)))
1
(*.f32 (pow.f32 (sqrt.f32 (cos.f32 0)) 3) (pow.f32 (sqrt.f32 (cos.f32 0)) 3))
1
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 3) (cos.f32 0))
1
(/.f32 (*.f32 (cos.f32 0) (+.f32 (cos.f32 0) (cos.f32 0))) 2)
1
(/.f32 (*.f32 (+.f32 (cos.f32 0) (cos.f32 0)) (cos.f32 0)) 2)
1
(sqrt.f32 (pow.f32 (cos.f32 0) 6))
1
(log.f32 (exp.f32 (pow.f32 (cos.f32 0) 3)))
1
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 0) 3))))
1
(cbrt.f32 (pow.f32 (pow.f32 (cos.f32 0) 3) 3))
1
(expm1.f32 (log1p.f32 (pow.f32 (cos.f32 0) 3)))
1
(exp.f32 (*.f32 3 (log.f32 (cos.f32 0))))
1
(exp.f32 (*.f32 (*.f32 3 (log.f32 (cos.f32 0))) 1))
1
(log1p.f32 (expm1.f32 (pow.f32 (cos.f32 0) 3)))
1
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3) 1/3)
(sqrt.f32 (log1p.f32 u1))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 0) 2)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 0)))
(sqrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)))))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0)) 3))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3) (pow.f32 (cos.f32 0) 3)))
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 0) 3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)))
(sqrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))) 1))
(sqrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 0))))
(sqrt.f32 (log1p.f32 u1))

eval708.0ms (5.3%)

Compiler

Compiled 30903 to 21615 computations (30.1% saved)

prune264.0ms (2%)

Pruning

56 alts after pruning (45 fresh and 11 done)

PrunedKeptTotal
New96811979
Fresh63440
Picked011
Done21012
Total976561032
Error
0.0b
Counts
1032 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
12.0b
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
11.6b
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
7.8b
(/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
14.5b
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
14.1b
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
8.4b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.9b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
11.7b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
11.2b
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
12.8b
(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
8.4b
(*.f32 (pow.f32 (exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.9b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
8.2b
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
7.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
2.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
8.6b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
3.0b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.2b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 3))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (*.f32 (sin.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
0.8b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
6.2b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
14.5b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
7.8b
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
7.2b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.1b
(*.f32 (sqrt.f32 u1) 1)
30.4b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
9.6b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
8.2b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
8.2b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
11.9b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
8.5b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
9.1b
(sqrt.f32 (*.f32 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 4))) 1/2) (log1p.f32 u1)))
11.6b
(sqrt.f32 (log1p.f32 u1))
20.7b
(sqrt.f32 (log.f32 (+.f32 1 u1)))
11.7b
(cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4) 3/2))
11.1b
(cbrt.f32 (pow.f32 u1 3/2))
Compiler

Compiled 946 to 789 computations (16.6% saved)

regimes341.0ms (2.6%)

Counts
80 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 u1 3/2))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 4))) 1/2) (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 -2 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2)))) 1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 2) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4) 3/2))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2) (log1p.f32 u1)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.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 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) u2) 2))) 3))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1)))) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (cos.f32 (*.f32 2 (+.f32 (fma.f32 (PI.f32) u2 1) -1))))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 1))
(*.f32 (pow.f32 (E.f32) (log.f32 (sqrt.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))) (cos.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.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)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (*.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (cos.f32 -2)) (*.f32 (sin.f32 (*.f32 (fma.f32 (PI.f32) u2 1) 2)) (sin.f32 -2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (expm1.f32 (fma.f32 1/3 (pow.f32 (*.f32 u2 (PI.f32)) 3) (fma.f32 u2 (PI.f32) (*.f32 -1/2 (pow.f32 (*.f32 u2 (PI.f32)) 2))))))))
(*.f32 (pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1)))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

10 calls:

68.0ms
cosTheta_i
36.0ms
u2
34.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
34.0ms
u1
30.0ms
(-.f32 1 u1)
Results
ErrorSegmentsBranch
0.3b1cosTheta_i
0.3b1u1
0.3b1u2
0.3b1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.3b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
0.3b1(neg.f32 (log.f32 (-.f32 1 u1)))
0.3b1(log.f32 (-.f32 1 u1))
0.3b1(-.f32 1 u1)
0.3b1(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 1193 to 693 computations (41.9% saved)

regimes244.0ms (1.8%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 u1 3/2))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (fma.f32 -1/4 (pow.f32 u1 4) (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) u1))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

9 calls:

45.0ms
u1
39.0ms
(-.f32 1 u1)
32.0ms
cosTheta_i
30.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
25.0ms
u2
Results
ErrorSegmentsBranch
2.4b1cosTheta_i
1.2b2u1
1.0b2u2
1.2b2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.2b2(neg.f32 (log.f32 (-.f32 1 u1)))
1.2b2(log.f32 (-.f32 1 u1))
1.2b2(-.f32 1 u1)
1.0b2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.0b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 322 to 230 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00122672354336828
0.0015099248848855495
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes205.0ms (1.5%)

Counts
25 → 2
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 u1 3/2))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (-.f32 (+.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) 1) 2) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

9 calls:

52.0ms
(log.f32 (-.f32 1 u1))
26.0ms
u1
22.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
22.0ms
u2
20.0ms
(-.f32 1 u1)
Results
ErrorSegmentsBranch
6.2b1cosTheta_i
3.1b2u1
2.6b2u2
3.1b2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
3.1b2(neg.f32 (log.f32 (-.f32 1 u1)))
3.1b2(log.f32 (-.f32 1 u1))
3.1b2(-.f32 1 u1)
2.6b2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
2.6b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 261 to 191 computations (26.8% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0033964896574616432
0.0034442797768861055
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes89.0ms (0.7%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 u1 3/2))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (pow.f32 (pow.f32 u1 1/4) 2) 1)
(+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1))
(-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
Calls

7 calls:

32.0ms
(log.f32 (-.f32 1 u1))
10.0ms
u2
10.0ms
u1
10.0ms
cosTheta_i
10.0ms
(-.f32 1 u1)
Results
ErrorSegmentsBranch
6.2b1cosTheta_i
6.2b1u1
6.2b1u2
6.2b1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
6.2b1(neg.f32 (log.f32 (-.f32 1 u1)))
6.2b1(log.f32 (-.f32 1 u1))
6.2b1(-.f32 1 u1)
Compiler

Compiled 212 to 155 computations (26.9% saved)

regimes19.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (log1p.f32 u1))
(cbrt.f32 (pow.f32 u1 3/2))
(sqrt.f32 (log.f32 (+.f32 1 u1)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
Calls

3 calls:

6.0ms
u2
6.0ms
cosTheta_i
5.0ms
u1
Results
ErrorSegmentsBranch
7.4b1cosTheta_i
7.4b1u1
7.4b1u2
Compiler

Compiled 88 to 63 computations (28.4% saved)

regimes13.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
Calls

3 calls:

4.0ms
cosTheta_i
4.0ms
u2
4.0ms
u1
Results
ErrorSegmentsBranch
7.8b1cosTheta_i
7.8b1u1
7.8b1u2
Compiler

Compiled 51 to 38 computations (25.5% saved)

regimes11.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
Calls

3 calls:

4.0ms
cosTheta_i
3.0ms
u2
3.0ms
u1
Results
ErrorSegmentsBranch
8.6b1cosTheta_i
8.6b1u1
8.6b1u2
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 u1) 1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
Outputs
(*.f32 (sqrt.f32 u1) 1)
Calls

3 calls:

3.0ms
u2
3.0ms
u1
3.0ms
cosTheta_i
Results
ErrorSegmentsBranch
11.1b1cosTheta_i
11.1b1u1
11.1b1u2
Compiler

Compiled 25 to 20 computations (20% saved)

simplify24.0ms (0.2%)

Algorithm
egg-herbie
Rules
156×distribute-lft-neg-in
108×*-commutative
90×distribute-rgt-neg-in
64×distribute-neg-in
60×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059352
198352
2118348
3167336
4208336
5268336
6343336
7423336
8440336
9442336
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (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 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 14602889/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 u1) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (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 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3)))))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 6442451/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3))))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 14602889/4294967296) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 14602889/4294967296) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 2 (*.f32 (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))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 (*.f32 u1 -1/4) -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 -1/3 (*.f32 u1 -1/4))))) u1)))
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 (+.f32 -1/3 (*.f32 u1 -1/4)))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))
(sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))
(sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3)))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) -1/2) u1)))
(sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) 1/2)))
(*.f32 (sqrt.f32 u1) 1)
(sqrt.f32 u1)
Compiler

Compiled 133 to 104 computations (21.8% saved)

soundness56.0ms (0.4%)

Algorithm
egg-herbie
Rules
92×fma-def
62×associate-+l-
60×+-commutative
52×associate-+l+
40×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01743
12941
24141
35141
46141
57541
69841
712341
820141
923441
1025641
1136641
1239441
1340741
1441141
1541241
Stop Event
saturated
Compiler

Compiled 54 to 38 computations (29.6% saved)

end76.0ms (0.6%)

Compiler

Compiled 112 to 64 computations (42.9% saved)

Profiling

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