Details

Time bar (total: 14.6s)

analyze221.0ms (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)

sample2.5s (17.3%)

Results
2.5s8256×body256valid
1.0msbody256precondition
Bogosity

preprocess40.0ms (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)

simplify69.0ms (0.5%)

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))))
14.6b
(*.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)

localize109.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.1b
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
15.2b
(log.f32 (-.f32 1 u1))
Compiler

Compiled 53 to 39 computations (26.4% saved)

series55.0ms (0.4%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
47.0ms
u2
@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
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)))

rewrite85.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01788
133980
2410080
Stop Event
node limit
Counts
4 → 140
Calls
Call 1
Inputs
(log.f32 (-.f32 1 u1))
(*.f32 (*.f32 2 (PI.f32)) u2)
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
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 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (log.f32 (cbrt.f32 (-.f32 1 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 (-.f32 1 u1))) (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(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 (-.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 (pow.f32 (cbrt.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 (pow.f32 (cbrt.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 (log.f32 (pow.f32 (cbrt.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 (pow.f32 (cbrt.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 (neg.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(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 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 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(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 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 (0.9%)

Algorithm
egg-herbie
Rules
1486×associate-/r/
794×associate-*r*
730×associate-*l*
620×+-commutative
578×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04517214
111696360
251926234
Stop Event
node limit
Counts
196 → 268
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)))
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 (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)))))))
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(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 (*.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)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 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 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 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)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.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 (*.f32 -1/2 u1) u1) 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 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 -1/2 u1) u1)) 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 -1/3 (pow.f32 u1 3) (*.f32 (*.f32 -1/2 u1) u1))) 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 u1) (+.f32 (log.f32 -1) (/.f32 -1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (+.f32 (log.f32 -1) (-.f32 (log.f32 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 -1 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 1/2 (*.f32 u1 u1)))) (/.f32 -1 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 -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)))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (-.f32 (-.f32 (/.f32 -1 u1) (/.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)))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 -2 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.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 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(+.f32 (fma.f32 -2 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))
(+.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))))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 u2 (*.f32 u2 (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 (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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))) (*.f32 -1/2 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 u1 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))))) (fma.f32 -1/2 (/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))) (/.f32 (*.f32 u1 u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (*.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) (log.f32 u1))))) 2)))) (*.f32 (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)))))
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(*.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 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.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 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (sqrt.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 (*.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))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 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 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))) (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 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (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 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 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 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (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 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (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 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

localize95.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.1b
(cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.3b
(*.f32 (PI.f32) u2)
Compiler

Compiled 47 to 19 computations (59.6% saved)

series31.0ms (0.2%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
26.0ms
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
@-inf
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.0ms
u1
@0
(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))))

rewrite87.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1018×unswap-sqr
864×swap-sqr
434×distribute-rgt-in
392×distribute-lft-in
328×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01686
132370
2393570
Stop Event
node limit
Counts
4 → 133
Calls
Call 1
Inputs
(*.f32 (PI.f32) u2)
(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))))
(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 (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)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (neg.f32 (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 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (-.f32 (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 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 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((#(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 (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 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (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 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (sqrt.f32 (log1p.f32 u1)))))) 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(#(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))))))))

simplify118.0ms (0.8%)

Algorithm
egg-herbie
Rules
1440×associate-*r/
1042×associate-*r*
982×associate-*l*
710×+-commutative
614×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04439241
111768077
258147993
Stop Event
node limit
Counts
185 → 255
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))
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 (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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(/.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 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 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 (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 (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 (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)))
(/.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 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 u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(-.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 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.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 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))
(*.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))))
(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))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
(+.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 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (*.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3)))
(+.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))))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -4/45 (pow.f32 u2 6))))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(*.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 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (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 u2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.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)))))))
(fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (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 (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 (*.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 u2))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
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(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))

eval324.0ms (2.2%)

Compiler

Compiled 14752 to 9048 computations (38.7% saved)

prune197.0ms (1.4%)

Pruning

34 alts after pruning (32 fresh and 2 done)

PrunedKeptTotal
New49132523
Fresh000
Picked011
Done011
Total49134525
Error
0.1b
Counts
525 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
7.6b
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.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 (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
8.2b
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
7.6b
(*.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)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (/.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)))))) (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)))
2.3b
(*.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)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) 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)))
15.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.0b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
6.9b
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
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)))))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))
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)))))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.4b
(*.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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
0.4b
(*.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)
14.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.7b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
7.5b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
8.8b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
Compiler

Compiled 1349 to 1065 computations (21.1% saved)

localize108.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.1b
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 78 to 26 computations (66.7% saved)

series38.0ms (0.3%)

Counts
2 → 32
Calls

9 calls:

TimeVariablePointExpression
31.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@0
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))

rewrite131.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
902×associate-*r/
826×distribute-lft-in
698×associate-*l/
398×add-sqr-sqrt
386×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982
139070
2496538
Stop Event
node limit
Counts
2 → 224
Calls
Call 1
Inputs
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (-.f32 0 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 -1 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 u1 u1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (log1p.f32 (*.f32 u1 u1)) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 1 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 1 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (*.f32 1 (fma.f32 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((#(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 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 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 (log1p.f32 u1) 3/2) (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 (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 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))))))))))

simplify158.0ms (1.1%)

Algorithm
egg-herbie
Rules
1654×times-frac
1098×associate-/l*
1068×associate-*r*
1058×associate-/r*
994×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05938784
115947682
Stop Event
node limit
Counts
256 → 366
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 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (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 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (log.f32 (/.f32 -1 u1))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)))
(-.f32 (*.f32 -2 (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 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.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))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.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))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.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))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 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))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.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))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (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 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (*.f32 (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))))))
(sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))
(+.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))) (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))) (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (*.f32 2/3 (*.f32 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))) (+.f32 (*.f32 -4/45 (*.f32 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 -2 (*.f32 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(+.f32 (log1p.f32 u1) 0)
(+.f32 (log1p.f32 u1) (-.f32 0 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log1p.f32 u1) (*.f32 -1 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log1p.f32 u1) (*.f32 (log1p.f32 (*.f32 u1 u1)) -1))
(+.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(+.f32 (log1p.f32 u1) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (log1p.f32 u1)))
(+.f32 (log1p.f32 u1) (+.f32 (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))
(+.f32 (log1p.f32 u1) (+.f32 (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)) (fma.f32 (log1p.f32 u1) 1 (log1p.f32 u1))))
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(/.f32 (*.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) -1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) -1) (log1p.f32 u1))
(/.f32 (*.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 3)) -1) (+.f32 0 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 0 (log1p.f32 u1)))))
(/.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (sqrt.f32 (log1p.f32 u1))) (log1p.f32 u1))
(/.f32 (*.f32 (log1p.f32 u1) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (log1p.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3)) (/.f32 1 (log1p.f32 u1))) (+.f32 (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (*.f32 (log1p.f32 u1) (pow.f32 (log1p.f32 u1) 3))) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3))) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (pow.f32 (log1p.f32 u1) 3))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2))) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) (pow.f32 (log1p.f32 u1) 3)))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (pow.f32 (log1p.f32 u1) 3/2))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) -1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 3) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) 1) (pow.f32 (log1p.f32 u1) 2))
(/.f32 (/.f32 (*.f32 -1 (pow.f32 (log1p.f32 u1) 3)) (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (sqrt.f32 (log1p.f32 u1))) (neg.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) 1) (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) -1) (log1p.f32 u1))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (pow.f32 (log1p.f32 u1) 3)) (/.f32 1 (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (-.f32 0 (pow.f32 (log1p.f32 u1) 2)) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (/.f32 1 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 -1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.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)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(neg.f32 (log1p.f32 u1))
(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))
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (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 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))
(/.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (*.f32 (log1p.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 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 (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
(*.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 u1 (*.f32 u1 -1/2)) 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 -1/3 (pow.f32 u1 3) (*.f32 u1 (*.f32 u1 -1/2))) 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 -1/3 (pow.f32 u1 3) (*.f32 u1 (*.f32 u1 -1/2)))) u1)
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (*.f32 -1 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (neg.f32 (log.f32 u1))) (neg.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (log.f32 -1) (log.f32 u1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))) (fma.f32 -1 (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 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (neg.f32 (log.f32 u1))) (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (log.f32 u1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (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 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(+.f32 (log.f32 -1) (-.f32 (-.f32 (-.f32 (log.f32 u1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (*.f32 -1 (log.f32 (/.f32 -1 u1))))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -2 (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))
(-.f32 (*.f32 -2 (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 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))))
(-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))))
(-.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (/.f32 1/3 (pow.f32 u1 3)))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1))))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (neg.f32 (log.f32 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
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(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (cbrt.f32 (log1p.f32 u1)))
(neg.f32 (log1p.f32 u1))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (+.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (-.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1)
(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) 3) 1/3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(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)
(log1p.f32 u1)
(fma.f32 1 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(+.f32 (log1p.f32 (*.f32 u1 u1)) (log1p.f32 u1))
(fma.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))) (log1p.f32 u1))
(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (/.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
(/.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (log1p.f32 u1))
(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 3)) (/.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (log1p.f32 u1) (sqrt.f32 (pow.f32 (log1p.f32 u1) 3))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (log1p.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(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)))
(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)))) (log.f32 (exp.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 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(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 (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)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))

localize25.0ms (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))

rewrite62.0ms (0.4%)

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)))))))

simplify55.0ms (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)

localize143.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.1b
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.3b
(*.f32 (*.f32 2 (PI.f32)) u2)
16.0b
(log.f32 (sqrt.f32 (-.f32 1 u1)))
Compiler

Compiled 74 to 58 computations (21.6% saved)

series34.0ms (0.2%)

Counts
2 → 16
Calls

9 calls:

TimeVariablePointExpression
27.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite80.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
672×distribute-rgt-in
610×distribute-lft-in
508×associate-*r/
460×associate-*l/
380×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01964
138052
2462852
Stop Event
node limit
Counts
2 → 52
Calls
Call 1
Inputs
(log.f32 (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (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 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (*.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (*.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (*.f32 1/2 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (*.f32 1/2 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) 1) (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1) (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/2) (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1/2) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (-.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 pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (cos.f32 (*.f32 2 (*.f32 (PI.f32) 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 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) 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 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 (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 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.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 (neg.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 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))

simplify75.0ms (0.5%)

Algorithm
egg-herbie
Rules
1162×fma-def
762×distribute-lft-in
736×*-commutative
706×+-commutative
670×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01872408
14392368
216132266
364012266
Stop Event
node limit
Counts
68 → 97
Calls
Call 1
Inputs
(*.f32 -1/2 u1)
(+.f32 (*.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1))
(+.f32 (*.f32 -1/6 (pow.f32 u1 3)) (+.f32 (*.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1)))
(+.f32 (*.f32 -1/6 (pow.f32 u1 3)) (+.f32 (*.f32 -1/4 (pow.f32 u1 2)) (+.f32 (*.f32 -1/2 u1) (*.f32 -1/8 (pow.f32 u1 4)))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 -2))
(+.f32 (*.f32 -2 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 2))))) (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 -2)))
(+.f32 (*.f32 -2 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 2))))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 -2)) (*.f32 2/3 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 4) (*.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 4)))))))
(+.f32 (*.f32 -2 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 2) (*.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 2))))) (+.f32 (*.f32 -4/45 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 6) (*.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 6))))) (+.f32 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 -2)) (*.f32 2/3 (*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (pow.f32 u2 4) (*.f32 (sqrt.f32 -2) (pow.f32 (PI.f32) 4))))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (sqrt.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (sqrt.f32 -2) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 0)
(+.f32 0 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(+.f32 0 (*.f32 (log1p.f32 (neg.f32 u1)) 1/2))
(+.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(+.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))
(+.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(+.f32 (+.f32 0 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))) (*.f32 1 (log.f32 (pow.f32 (-.f32 1 u1) 1/4))))
(+.f32 (*.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))) (*.f32 1 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 1/2 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (*.f32 1/2 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(+.f32 (*.f32 1/2 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (*.f32 1/2 (log.f32 (cbrt.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) 1) (*.f32 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)) 1))
(+.f32 (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1) (*.f32 (log.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) 1))
(+.f32 (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/2) (*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1/2))
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) 1/2) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1/2))
(-.f32 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))) 1)
(*.f32 1 (*.f32 1/2 (log1p.f32 (neg.f32 u1))))
(*.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(*.f32 2 (log.f32 (pow.f32 (-.f32 1 u1) 1/4)))
(*.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2) (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(*.f32 1/2 (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/2 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 2))) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 1/2 (-.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 2))
(cbrt.f32 (pow.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1))) 3))
(expm1.f32 (log1p.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 1))
(log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.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 (neg.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.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 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(*.f32 -1/2 u1)
(+.f32 (*.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1))
(fma.f32 -1/4 (*.f32 u1 u1) (*.f32 -1/2 u1))
(fma.f32 -1/2 u1 (*.f32 (*.f32 -1/4 u1) u1))
(*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))
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(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.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 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.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 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.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 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.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 2 (*.f32 (PI.f32) 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 (log1p.f32 (neg.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 (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)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.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 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.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 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.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 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))

localize91.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cos.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))
0.2b
(cbrt.f32 (*.f32 (PI.f32) u2))
0.3b
(*.f32 (PI.f32) u2)
0.7b
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
Compiler

Compiled 67 to 29 computations (56.7% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u2
@-inf
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
1.0ms
u2
@0
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
0.0ms
u2
@inf
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
0.0ms
u2
@-inf
(cbrt.f32 (*.f32 (PI.f32) u2))
0.0ms
u2
@0
(cos.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))

rewrite104.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
988×*-commutative
916×sqrt-prod
822×unswap-sqr
626×swap-sqr
438×sqr-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01341
126741
2288441
Stop Event
node limit
Counts
3 → 173
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(cbrt.f32 (*.f32 (PI.f32) u2))
(cos.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)))
Outputs
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egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 1/6) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 1/6)) 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simplify108.0ms (0.7%)

Algorithm
egg-herbie
Rules
1784×distribute-lft-in
862×associate-*r*
826×associate-/l*
742×associate-*l*
562×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04308465
110276721
242226541
Stop Event
node limit
Counts
185 → 268
Calls
Call 1
Inputs
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 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) 3))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 4)))
(*.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 1 (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (sqrt.f32 (*.f32 (*.f32 (PI.f32) u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 u2) (*.f32 (PI.f32) (sqrt.f32 u2)))
(*.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 u2 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 u2) (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)))
(*.f32 (cbrt.f32 u2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (PI.f32) (cbrt.f32 u2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (PI.f32) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 u2) 2))
(*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2))
(*.f32 (*.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) 3) (cbrt.f32 (*.f32 (PI.f32) u2)))
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(/.f32 1 (/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (-.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)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)) (+.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.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 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))) (+.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4)) 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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.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 (PI.f32) (*.f32 u2 2))) 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)) (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 (cos.f32 (*.f32 (PI.f32) (*.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))))
(/.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))) (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.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)) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (-.f32 (*.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))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.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))))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (-.f32 (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (cos.f32 0)) (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(/.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (cos.f32 0)) 2) (*.f32 2 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 4)
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(/.f32 (neg.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))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.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 2))) 1)
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(fabs.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.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
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
(+.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 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 2/3 (pow.f32 u2 4)))))
(+.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))))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -4/45 (pow.f32 u2 6))))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) -1)
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) 3))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 4)))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(*.f32 1 (*.f32 (PI.f32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (sqrt.f32 (*.f32 (*.f32 (PI.f32) u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/6) (sqrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/6) (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 u2 (sqrt.f32 (PI.f32))))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 u2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 u2) (*.f32 (PI.f32) (sqrt.f32 u2)))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 (pow.f32 (PI.f32) 2) u2)))
(*.f32 (sqrt.f32 u2) (sqrt.f32 (*.f32 u2 (pow.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 u2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 u2 (cbrt.f32 (PI.f32))))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 u2) (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 u2) (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (PI.f32) (cbrt.f32 u2)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))))
(*.f32 (sqrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) 2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 u2)))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) 2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (cbrt.f32 u2)) (pow.f32 (cbrt.f32 u2) 2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 1/6) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (*.f32 (PI.f32) u2) 1/6))
(*.f32 u2 (PI.f32))
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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 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(/.f32 (*.f32 (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(/.f32 (expm1.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.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)) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (-.f32 (*.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))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.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))))))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.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)) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2) (*.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 (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)) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 3)) (fma.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.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 u2 (*.f32 2 (PI.f32)))))) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(/.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3) (pow.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) 3)) (fma.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (-.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (pow.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))
(/.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 3) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 3)) (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (-.f32 (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (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 (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 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3) -1) (+.f32 (exp.f32 (+.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 3)) (+.f32 (exp.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))) (+.f32 1 (exp.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) 3)) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))) (exp.f32 (*.f32 2 (log1p.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (cos.f32 0)) (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (-.f32 1 (-.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 2)
(/.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)) 2)
(/.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)
(/.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (cos.f32 0)) 2) (*.f32 2 (-.f32 (cos.f32 0) (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 4)
(/.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (-.f32 1 (-.f32 1 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 2)
(/.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 0)) 2)
(/.f32 (+.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 2)
(/.f32 (neg.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4))) (neg.f32 (+.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 (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 (neg.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))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 4) (+.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 4) (*.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 (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 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(fabs.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(cos.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(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))

localize179.0ms (1.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
0.3b
(*.f32 (PI.f32) (+.f32 u2 u2))
0.3b
(*.f32 u2 (PI.f32))
0.5b
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
Compiler

Compiled 107 to 38 computations (64.5% saved)

series3.0ms (0%)

Counts
4 → 28
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
0.0ms
u2
@0
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
0.0ms
u2
@inf
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
0.0ms
u2
@-inf
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
0.0ms
u2
@-inf
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)

rewrite108.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1668×associate-*r/
1424×associate-*l/
382×add-sqr-sqrt
372×*-un-lft-identity
370×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01798
137094
2493360
Stop Event
node limit
Counts
4 → 165
Calls
Call 1
Inputs
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) (+.f32 u2 u2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 -1/2 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 (neg.f32 (cos.f32 0)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 -1 (*.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 (neg.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 0)))) (sqrt.f32 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 0))) 2)) (cbrt.f32 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (neg.f32 (*.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/2 (cos.f32 0)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (cos.f32 0)) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (*.f32 1/2 (cos.f32 0))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 0)))) (sqrt.f32 (*.f32 1/2 (cos.f32 0)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 0))) 2)) (cbrt.f32 (*.f32 1/2 (cos.f32 0)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 1/2 (cos.f32 0))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (*.f32 1/2 (cos.f32 0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 1/2 (*.f32 1/2 (cos.f32 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log.f32 (-.f32 3/2 (*.f32 1/2 (cos.f32 0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/4 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2)) (pow.f32 (cos.f32 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 0)) 3)) (+.f32 1/4 (+.f32 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2) (*.f32 1/4 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 0)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/4 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2)) 1) (pow.f32 (cos.f32 0) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 0)) 3))) (+.f32 1/4 (+.f32 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2) (*.f32 1/4 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 0)) 3)) 1) (+.f32 1/4 (+.f32 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2) (*.f32 1/4 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 0)) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log.f32 (-.f32 3/2 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 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 cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x . 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 0)) (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1) (fma.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 1 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1) (fma.f32 (neg.f32 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simplify80.0ms (0.5%)

Algorithm
egg-herbie
Rules
308×+-commutative
200×*-commutative
194×associate-*r*
188×associate-+r+
182×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04485573
115415573
235605573
Stop Event
unsound
Counts
193 → 185
Calls
Call 1
Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 (+.f32 (*.f32 -1/2520 (pow.f32 (PI.f32) 8)) (*.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
1
(+.f32 1 (*.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(+.f32 1 (+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (*.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4)))) (*.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(+.f32 (*.f32 (-.f32 (*.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6)) (+.f32 1 (+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (*.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4)))) (*.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (*.f32 -1/2 (cos.f32 0)))
(+.f32 1/2 (*.f32 (neg.f32 (cos.f32 0)) 1/2))
(+.f32 1/2 (*.f32 -1 (*.f32 1/2 (cos.f32 0))))
(+.f32 1/2 (*.f32 (neg.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 0)))) (sqrt.f32 (*.f32 1/2 (cos.f32 0)))))
(+.f32 1/2 (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 0))) 2)) (cbrt.f32 (*.f32 1/2 (cos.f32 0)))))
(+.f32 1/2 (neg.f32 (*.f32 1/2 (cos.f32 0))))
(+.f32 (*.f32 -1/2 (cos.f32 0)) 1/2)
(+.f32 (*.f32 (neg.f32 (cos.f32 0)) 1/2) 1/2)
(+.f32 (*.f32 -1 (*.f32 1/2 (cos.f32 0))) 1/2)
(+.f32 (*.f32 (neg.f32 (sqrt.f32 (*.f32 1/2 (cos.f32 0)))) (sqrt.f32 (*.f32 1/2 (cos.f32 0)))) 1/2)
(+.f32 (*.f32 (neg.f32 (pow.f32 (cbrt.f32 (*.f32 1/2 (cos.f32 0))) 2)) (cbrt.f32 (*.f32 1/2 (cos.f32 0)))) 1/2)
(+.f32 (neg.f32 (*.f32 1/2 (cos.f32 0))) 1/2)
(+.f32 (-.f32 1/2 (exp.f32 (log1p.f32 (*.f32 1/2 (cos.f32 0))))) 1)
(-.f32 1/2 (*.f32 1/2 (cos.f32 0)))
(-.f32 (exp.f32 (log.f32 (-.f32 3/2 (*.f32 1/2 (cos.f32 0))))) 1)
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) 1)
(*.f32 1 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(*.f32 (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))))) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(/.f32 (-.f32 1/4 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2)) (pow.f32 (cos.f32 0) 2))
(/.f32 (-.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 0)) 3)) (+.f32 1/4 (+.f32 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2) (*.f32 1/4 (cos.f32 0)))))
(/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 0)) 2)
(/.f32 (*.f32 (-.f32 1/4 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2)) 1) (pow.f32 (cos.f32 0) 2))
(/.f32 (*.f32 1 (-.f32 1/8 (pow.f32 (*.f32 1/2 (cos.f32 0)) 3))) (+.f32 1/4 (+.f32 (pow.f32 (*.f32 1/2 (cos.f32 0)) 2) (*.f32 1/4 (cos.f32 0)))))
(/.f32 (*.f32 1 (-.f32 (cos.f32 (-.f32 (*.f32 u2 (PI.f32)) (*.f32 u2 (PI.f32)))) (cos.f32 0))) 2)
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(/.f32 (-.f32 1/4 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(/.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (-.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))
(/.f32 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3)) (+.f32 1/4 (-.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (*.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))))
(/.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 3)) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (neg.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (neg.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 1 (-.f32 1/4 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) (-.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))
(/.f32 (*.f32 1 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3))) (+.f32 1/4 (-.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (*.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))))
(/.f32 (*.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 3))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (neg.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) (neg.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (sqrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) (sqrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2) (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (cbrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2) (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) (cbrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)) 1) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))))
(/.f32 (*.f32 (-.f32 1/4 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) 1) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 1) (-.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))
(/.f32 (*.f32 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3)) 1) (+.f32 1/4 (-.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (*.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))))
(/.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 3)) 1) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) 1) (neg.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) 1) (neg.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) (sqrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) (sqrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)) (cbrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)) (cbrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (pow.f32 (cos.f32 0) 2) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (/.f32 1 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 3)) (/.f32 1 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))) (+.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (pow.f32 (cos.f32 0) 2) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (/.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 3)) (/.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))))) (+.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)) (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))))
(pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1)
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)
(pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 3)
(pow.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3) 1/3)
(sqrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 2))
(log.f32 (exp.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(cbrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3))
(expm1.f32 (log1p.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(exp.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 1))
(log1p.f32 (expm1.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(fma.f32 1 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
(fma.f32 (cos.f32 0) (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))
(+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 (+.f32 (*.f32 -1/2520 (pow.f32 (PI.f32) 8)) (*.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (*.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 2 (*.f32 u2 (PI.f32)))
1
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 1 (*.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 1 (+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (*.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4)))) (*.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 (-.f32 (*.f32 -2/45 (pow.f32 (PI.f32) 6)) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (pow.f32 u2 6)) (+.f32 1 (+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (*.f32 1/3 (pow.f32 (PI.f32) 4)) (*.f32 -1/3 (pow.f32 (PI.f32) 4)))) (*.f32 (-.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2)) (pow.f32 u2 2)))))
(fma.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) 6) -2/45) (*.f32 (pow.f32 (PI.f32) 6) 2/45)) (pow.f32 u2 6) (+.f32 1 (fma.f32 (pow.f32 u2 4) (*.f32 (pow.f32 (PI.f32) 4) 2/3) (*.f32 (*.f32 u2 u2) (-.f32 (neg.f32 (pow.f32 (PI.f32) 2)) (pow.f32 (PI.f32) 2))))))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
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(/.f32 (*.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 3))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (neg.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) (neg.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (sqrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) (sqrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2) (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (cbrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(*.f32 (cbrt.f32 0) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2) (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) (cbrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(*.f32 (cbrt.f32 0) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) 1) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)) 1) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (-.f32 1/4 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) 1) (-.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 1) (-.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 (+.f32 1/8 (pow.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3)) 1) (+.f32 1/4 (-.f32 (*.f32 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) (*.f32 1/2 (fma.f32 1/2 (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) 3)) 1) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (-.f32 (*.f32 (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) (*.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) 1) (neg.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) 1) (neg.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) (sqrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))) (sqrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)) (cbrt.f32 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))
(*.f32 (cbrt.f32 0) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)) (cbrt.f32 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2))))))
(*.f32 (cbrt.f32 0) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (pow.f32 (cos.f32 0) 2) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (/.f32 1 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 1 (-.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 8))) (+.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) 3)) (/.f32 1 (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))) (+.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (pow.f32 (cos.f32 0) 2) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (*.f32 1 (-.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 8))) (+.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))) (/.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))))) (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))
(/.f32 (*.f32 1 (-.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 8))) (+.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 3)) (/.f32 1 (+.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 2) (*.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (+.f32 (-.f32 1/2 (*.f32 1/2 (cos.f32 0))) (pow.f32 (cos.f32 0) 2)))))) (+.f32 (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (pow.f32 (cos.f32 0) 2) 3)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)) (*.f32 (pow.f32 (pow.f32 (cos.f32 0) 2) 3) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))))
(/.f32 (*.f32 1 (-.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 8))) (+.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
(pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3) 1/3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 2))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (exp.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0)))) 3))
(*.f32 2 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))) 1))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (+.f32 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(fma.f32 1 (pow.f32 (cos.f32 0) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(fma.f32 (cos.f32 0) (cos.f32 0) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(fma.f32 (pow.f32 (pow.f32 (cbrt.f32 (cos.f32 0)) 2) 2) (pow.f32 (cbrt.f32 (cos.f32 0)) 2) (+.f32 -1/2 (*.f32 1/2 (cos.f32 0))))
(*.f32 2 (*.f32 u2 (PI.f32)))

eval685.0ms (4.7%)

Compiler

Compiled 31948 to 19328 computations (39.5% saved)

prune514.0ms (3.5%)

Pruning

52 alts after pruning (47 fresh and 5 done)

PrunedKeptTotal
New1183301213
Fresh101727
Picked101
Done156
Total1195521247
Error
0.0b
Counts
1247 → 52
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
7.6b
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
7.6b
(/.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
7.6b
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
8.2b
(*.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)
7.6b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.3b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
8.4b
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 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)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (/.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)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.5b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
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)
2.3b
(*.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)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
8.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
0.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
15.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.4b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (+.f32 (*.f32 -1/6 (pow.f32 u1 3)) (+.f32 (*.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
17.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
6.9b
(*.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)
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 4) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))
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 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
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)))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.4b
(*.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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
0.4b
(*.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)
14.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.7b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
11.6b
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
30.3b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
11.9b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
11.6b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
6.2b
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
8.8b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
Compiler

Compiled 1784 to 1471 computations (17.5% saved)

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
0.1b
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
0.3b
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
0.3b
(*.f32 u2 (PI.f32))
Compiler

Compiled 67 to 21 computations (68.7% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

12 calls:

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

rewrite109.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
768×distribute-rgt-in
708×associate-*r/
706×distribute-lft-in
554×associate-*l/
386×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01897
137489
2472681
Stop Event
node limit
Counts
3 → 197
Calls
Call 1
Inputs
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
Outputs
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simplify170.0ms (1.2%)

Algorithm
egg-herbie
Rules
1400×associate-+r+
994×associate-*r*
920×associate-*l*
876×fma-def
580×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061316189
1166814657
2787114609
Stop Event
node limit
Counts
233 → 384
Calls
Call 1
Inputs
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 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
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(/.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) (-.f32 (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (+.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 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3)) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3) 1/3)
(sqrt.f32 (*.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
Outputs
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/4 (pow.f32 u1 4) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))
(+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))
(+.f32 (/.f32 1 u1) (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))
(-.f32 (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (-.f32 (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2)))
(+.f32 (+.f32 (/.f32 1 u1) (log.f32 u1)) (-.f32 (/.f32 1/2 (*.f32 u1 u1)) (fma.f32 (neg.f32 (log.f32 u1)) -2 (log.f32 -1))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))
(-.f32 (+.f32 (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 1/2 (*.f32 u1 u1))) (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))
(+.f32 (+.f32 (log.f32 u1) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (fma.f32 (neg.f32 (log.f32 u1)) -2 (log.f32 -1))))
(+.f32 (+.f32 (/.f32 1 u1) (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(*.f32 (log.f32 (/.f32 -1 u1)) 1)
(log.f32 (/.f32 -1 u1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1)) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1)) (*.f32 2 (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (*.f32 2 (log.f32 (/.f32 -1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (log.f32 (/.f32 -1 u1)))
(+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))) (*.f32 2 (log.f32 (/.f32 -1 u1)))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (log.f32 (/.f32 -1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(+.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 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 2/3 (pow.f32 u2 4)))))
(+.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))))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 1 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (pow.f32 (PI.f32) 6) (*.f32 -4/45 (pow.f32 u2 6))))))
(*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (*.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1)) (*.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2)))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (/.f32 (*.f32 u1 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (*.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) u1)) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (*.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))) 2)) (*.f32 u1 u1)) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))) (*.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.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))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.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))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
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(/.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)) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2)) (+.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (*.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))) (/.f32 (+.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 (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 (neg.f32 (log1p.f32 u1))) (+.f32 (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 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))) (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (/.f32 (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (/.f32 (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))))
(/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (/.f32 (cbrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2))) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (/.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1)))))))
(/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 u1))))) (/.f32 (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))))
(pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 1)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 2)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(sqrt.f32 (*.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(sqrt.f32 (*.f32 (neg.f32 (log1p.f32 u1)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (neg.f32 (log1p.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (neg.f32 (log1p.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2) (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (neg.f32 (log1p.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) 3) (pow.f32 (neg.f32 (log1p.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) 1))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))) (sqrt.f32 (neg.f32 (log1p.f32 u1))))

localize21.0ms (0.1%)

Compiler

Compiled 20 to 9 computations (55% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 u1)
0.1b
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
0.1b
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
0.3b
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
Compiler

Compiled 34 to 9 computations (73.5% saved)

series3.0ms (0%)

Counts
3 → 32
Calls

9 calls:

TimeVariablePointExpression
1.0ms
u1
@inf
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
1.0ms
u1
@-inf
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
1.0ms
u1
@0
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
0.0ms
u1
@inf
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
0.0ms
u1
@0
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))

rewrite69.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1868×add-sqr-sqrt
1850×*-un-lft-identity
1724×add-cube-cbrt
1708×add-cbrt-cube
206×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01049
121041
2275141
Stop Event
node limit
Counts
3 → 57
Calls
Call 1
Inputs
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
(log1p.f32 u1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))))))

simplify68.0ms (0.5%)

Algorithm
egg-herbie
Rules
936×unswap-sqr
658×*-commutative
568×+-commutative
534×distribute-lft-in
512×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02323593
15853075
225652799
Stop Event
node limit
Counts
89 → 171
Calls
Call 1
Inputs
(sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 1 u1))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.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))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 1 u1))))))
(sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 u1))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 u1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (pow.f32 u1 2))))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 u1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (pow.f32 u1 2)))))))
(*.f32 -1 (pow.f32 u1 2))
(+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4))))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1/4 (pow.f32 u1 8)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
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 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) 1)
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1)
(*.f32 1 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4))
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1/2))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/2)
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1)
(pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) 3)
(pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1)))) 1)
(*.f32 (log1p.f32 (*.f32 u1 u1)) 1)
(*.f32 1 (log1p.f32 (*.f32 u1 u1)))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))))
(pow.f32 (log1p.f32 (*.f32 u1 u1)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))
(log.f32 (+.f32 1 (*.f32 u1 u1)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))) 1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 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)))
(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)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1))
Outputs
(sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))
(sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))
(sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))
(sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 1 u1))))
(+.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) u1) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 1 u1)))))
(+.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (*.f32 1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (*.f32 u1 u1))) (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))) 2)) (*.f32 u1 u1)) (/.f32 1 u1))) (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))
(fma.f32 1/2 (*.f32 (+.f32 (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) u1) 1) (/.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) u1)) (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.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))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) (pow.f32 u1 3)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))) 2)) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))) (/.f32 1 u1))))))
(+.f32 (sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (fma.f32 1/2 (/.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (-.f32 1/3 (*.f32 1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))))) (pow.f32 u1 3)) (*.f32 1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2)))))) 2)) (*.f32 u1 u1))) (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))))))))
(+.f32 (sqrt.f32 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (*.f32 1/2 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (+.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))) 2)) (*.f32 u1 u1)) (/.f32 1 u1))) (/.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (/.f32 (pow.f32 u1 3) (+.f32 1/3 (*.f32 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))) 2)) (+.f32 (-.f32 (log.f32 u1) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) -1/2)))))))
(+.f32 (sqrt.f32 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))) (+.f32 (/.f32 (+.f32 1/3 (*.f32 (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) -1/2)) (pow.f32 u1 3)) (+.f32 (/.f32 1 u1) (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (-.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))))) (*.f32 u1 u1)))))))
(sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))
(sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1))
(sqrt.f32 (log.f32 (/.f32 -1 u1)))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 u1))))
(+.f32 (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)) (*.f32 1/2 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) u1) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 u1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (pow.f32 u1 2))))))
(+.f32 (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)) (*.f32 1/2 (+.f32 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2)) (*.f32 u1 u1))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (*.f32 u1 u1)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 u1) (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (+.f32 (*.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) 1/3) (pow.f32 u1 3)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 1 u1))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1)))))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (*.f32 -2 (log.f32 (/.f32 -1 u1))))))) 2)) (pow.f32 u1 2)))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2)) (*.f32 (log.f32 (/.f32 -1 u1)) 1)) 1/3) (pow.f32 u1 3))) (+.f32 (sqrt.f32 (*.f32 (log.f32 (/.f32 -1 u1)) 1)) (*.f32 1/2 (+.f32 (*.f32 (/.f32 1 u1) (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1)))) (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (*.f32 (log.f32 (/.f32 -1 u1)) 1))) -1/2) 2)) (*.f32 u1 u1)))))))
(fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (fma.f32 -1/2 (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 u1) (/.f32 (-.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2) 2)) (*.f32 u1 u1)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (log.f32 (/.f32 -1 u1))) 1/3) (pow.f32 u1 3)) (+.f32 (/.f32 1 u1) (/.f32 (+.f32 1/2 (*.f32 -1/4 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1))))))
(*.f32 -1 (pow.f32 u1 2))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 (neg.f32 u1))
(+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))
(fma.f32 -1 (*.f32 u1 u1) (*.f32 -1/2 (pow.f32 u1 4)))
(-.f32 (*.f32 -1/2 (pow.f32 u1 4)) (*.f32 u1 u1))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1 (*.f32 u1 u1) (*.f32 -1/2 (pow.f32 u1 4))))
(fma.f32 -1/3 (pow.f32 u1 6) (-.f32 (*.f32 -1/2 (pow.f32 u1 4)) (*.f32 u1 u1)))
(+.f32 (*.f32 -1/3 (pow.f32 u1 6)) (+.f32 (*.f32 -1/4 (pow.f32 u1 8)) (+.f32 (*.f32 -1 (pow.f32 u1 2)) (*.f32 -1/2 (pow.f32 u1 4)))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1/4 (pow.f32 u1 8) (fma.f32 -1 (*.f32 u1 u1) (*.f32 -1/2 (pow.f32 u1 4)))))
(fma.f32 -1/3 (pow.f32 u1 6) (fma.f32 -1/4 (pow.f32 u1 8) (-.f32 (*.f32 -1/2 (pow.f32 u1 4)) (*.f32 u1 u1))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))
(+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))
(fma.f32 (neg.f32 (log.f32 u1)) -2 (log.f32 -1))
(+.f32 (log.f32 -1) (*.f32 (log.f32 u1) 2))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(+.f32 (log.f32 -1) (-.f32 (*.f32 (neg.f32 (log.f32 u1)) -2) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (log.f32 -1) (fma.f32 (neg.f32 (log.f32 u1)) -2 (/.f32 -1 (*.f32 u1 u1))))
(+.f32 (log.f32 -1) (+.f32 (*.f32 (log.f32 u1) 2) (/.f32 -1 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 (neg.f32 (log.f32 u1)) -2) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4)))))
(+.f32 (fma.f32 (neg.f32 (log.f32 u1)) -2 (log.f32 -1)) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))))
(+.f32 (log.f32 -1) (fma.f32 (neg.f32 (log.f32 u1)) -2 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4)))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 (neg.f32 (log.f32 u1)) -2) (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (-.f32 (fma.f32 (neg.f32 (log.f32 u1)) -2 (/.f32 -1 (*.f32 u1 u1))) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6)))))
(+.f32 (log.f32 -1) (fma.f32 (neg.f32 (log.f32 u1)) -2 (-.f32 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))) (/.f32 1/3 (pow.f32 u1 6)))))
(+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1))))
(fma.f32 -2 (log.f32 (/.f32 -1 u1)) (log.f32 -1))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (pow.f32 u1 2)))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 -1 (*.f32 u1 u1)))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 4)))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4)))))
(+.f32 (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 -1 u1)))) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 4))) (*.f32 1/3 (/.f32 1 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (-.f32 (*.f32 -2 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6))))))
(+.f32 (log.f32 -1) (-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (/.f32 -1 (*.f32 u1 u1))) (+.f32 (/.f32 1/2 (pow.f32 u1 4)) (/.f32 1/3 (pow.f32 u1 6)))))
(+.f32 (log.f32 -1) (fma.f32 -2 (log.f32 (/.f32 -1 u1)) (-.f32 (-.f32 (/.f32 -1 (*.f32 u1 u1)) (/.f32 1/2 (pow.f32 u1 4))) (/.f32 1/3 (pow.f32 u1 6)))))
u1
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) u1)
(fma.f32 -1/2 (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 u1) -1/2 u1)
(+.f32 (*.f32 -1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1))
(fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1))
(fma.f32 (*.f32 u1 u1) -1/2 (fma.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)))
(fma.f32 -1/4 (pow.f32 u1 4) (fma.f32 -1/2 (*.f32 u1 u1) (fma.f32 1/3 (pow.f32 u1 3) u1)))
(fma.f32 (pow.f32 u1 4) -1/4 (fma.f32 (*.f32 u1 u1) -1/2 (fma.f32 1/3 (pow.f32 u1 3) u1)))
(*.f32 -1 (log.f32 (/.f32 1 u1)))
(neg.f32 (neg.f32 (log.f32 u1)))
(log.f32 u1)
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (log.f32 u1))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (/.f32 1 u1)) (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1))))
(-.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 1/3 (pow.f32 u1 3)) (-.f32 (fma.f32 -1 (neg.f32 (log.f32 u1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (/.f32 -1/2 (*.f32 u1 u1)))) (/.f32 1/3 (pow.f32 u1 3)))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))
(-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (/.f32 1 u1)))
(+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1))
(-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1)))
(+.f32 (log.f32 -1) (-.f32 (/.f32 1 u1) (log.f32 (/.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 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 -1) (+.f32 (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))))
(-.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 1/3 (pow.f32 u1 3)) (-.f32 (+.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(+.f32 (/.f32 1/3 (pow.f32 u1 3)) (+.f32 (-.f32 (+.f32 (/.f32 1 u1) (log.f32 -1)) (log.f32 (/.f32 -1 u1))) (/.f32 -1/2 (*.f32 u1 u1))))
(+.f32 (-.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))) (+.f32 (log.f32 -1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 -1/2 (*.f32 u1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 1 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4) (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (fabs.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2) 1/2) (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1/2))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 2)) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (fabs.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(*.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/2)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(pow.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 1/4) 2)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(pow.f32 (cbrt.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) 3)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(pow.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2) 1/3)
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2))
(fabs.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(cbrt.f32 (pow.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (log.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (*.f32 (log.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))) 1/2))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) 1))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (expm1.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1)))) 1)
(log1p.f32 (*.f32 u1 u1))
(*.f32 (log1p.f32 (*.f32 u1 u1)) 1)
(log1p.f32 (*.f32 u1 u1))
(*.f32 1 (log1p.f32 (*.f32 u1 u1)))
(log1p.f32 (*.f32 u1 u1))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2))
(log1p.f32 (*.f32 u1 u1))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (cbrt.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (log1p.f32 (*.f32 u1 u1)) 1)
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) 2)
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 3)
(log1p.f32 (*.f32 u1 u1))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 1/3)
(log1p.f32 (*.f32 u1 u1))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))
(log1p.f32 (*.f32 u1 u1))
(log.f32 (+.f32 1 (*.f32 u1 u1)))
(log1p.f32 (*.f32 u1 u1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))
(log1p.f32 (*.f32 u1 u1))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(exp.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))))
(log1p.f32 (*.f32 u1 u1))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 u1 u1))) 1))
(log1p.f32 (*.f32 u1 u1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(log1p.f32 u1)
(*.f32 (log1p.f32 u1) 1)
(log1p.f32 u1)
(*.f32 1 (log1p.f32 u1))
(log1p.f32 u1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log1p.f32 u1)
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(pow.f32 (log1p.f32 u1) 1)
(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) 3) 1/3)
(log1p.f32 u1)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(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)

localize109.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(sin.f32 (*.f32 u2 (PI.f32)))
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
0.3b
(*.f32 u2 (PI.f32))
0.5b
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
Compiler

Compiled 79 to 37 computations (53.2% saved)

series7.0ms (0%)

Counts
2 → 24
Calls

9 calls:

TimeVariablePointExpression
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))

rewrite104.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
850×associate-*r/
678×associate-*l/
604×distribute-lft-in
410×add-sqr-sqrt
398×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02066
141254
2515054
Stop Event
node limit
Counts
2 → 96
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
(sin.f32 (*.f32 u2 (PI.f32)))
Outputs
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simplify155.0ms (1.1%)

Algorithm
egg-herbie
Rules
1792×distribute-lft-in
1112×associate-/r*
862×associate-*r/
624×associate-*l/
588×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03849990
110389088
243209088
Stop Event
node limit
Counts
120 → 187
Calls
Call 1
Inputs
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (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) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (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) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
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(/.f32 (*.f32 (sqrt.f32 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1)) (*.f32 (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2))) (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1)) 1) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1)) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1)) (*.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)) (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))) (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1)) (+.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2)))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2)) 1))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8))) 1) (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8))) (sqrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))) (sqrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8))) (*.f32 (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))) (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1) (sqrt.f32 (log1p.f32 u1))) 1) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1))) (sqrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)) (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))) (cbrt.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)))
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)) -1) (sqrt.f32 (log1p.f32 u1))) (+.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2)))) (-.f32 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2)) 1))
(/.f32 (/.f32 (*.f32 (+.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))
(/.f32 (/.f32 (*.f32 (+.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))))) (sqrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(/.f32 (/.f32 (*.f32 (+.f32 1 (*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3) 8)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))) (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))) (cbrt.f32 (+.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (*.f32 4 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4)))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)) 1)
(pow.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (*.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 1)
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) 1)
(*.f32 1 (sin.f32 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2) (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)))
(*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 1)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1/2)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (sin.f32 (*.f32 u2 (PI.f32))))
(log.f32 (exp.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) u1) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 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 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 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 (sqrt.f32 -1) u1) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))) (/.f32 (*.f32 -1/2 (sqrt.f32 -1)) (*.f32 (/.f32 u1 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)) (/.f32 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) (*.f32 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sqrt.f32 -1)) (*.f32 (/.f32 u1 (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)) u1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 (/.f32 (*.f32 -1/2 (sqrt.f32 -1)) u1) (fma.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (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) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 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 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 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)))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
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(log.f32 (exp.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))))
(sin.f32 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 3))
(sin.f32 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 1))
(sin.f32 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(sin.f32 (*.f32 u2 (PI.f32)))

localize65.0ms (0.4%)

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 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
0.1b
(cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
0.3b
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
0.4b
(*.f32 (PI.f32) (sqrt.f32 u2))
Compiler

Compiled 69 to 21 computations (69.6% saved)

series4.0ms (0%)

Counts
4 → 44
Calls

15 calls:

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

rewrite129.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1248×unswap-sqr
1016×swap-sqr
494×distribute-rgt-in
438×distribute-lft-in
364×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01882
136274
2442874
Stop Event
node limit
Counts
4 → 101
Calls
Call 1
Inputs
(*.f32 (PI.f32) (sqrt.f32 u2))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u2 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u2)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u2))))))))
((#(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 (PI.f32)) u2))))) (#(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 3/2) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3) (pow.f32 u2 3/2)))))) (#(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 (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)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (neg.f32 (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 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1) (*.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (-.f32 (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 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))) (+.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 (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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(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 (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 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 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 (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)))))) (#(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 (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)))))) (#(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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 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 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 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 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 expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))))))

simplify126.0ms (0.9%)

Algorithm
egg-herbie
Rules
1854×associate-/l*
1516×associate-/r*
842×associate-*r*
754×associate-*l*
676×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03597197
19286401
244966317
Stop Event
node limit
Counts
145 → 197
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 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (+.f32 (*.f32 2/3 (*.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 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(cos.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 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)))))))))))
(*.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 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (cos.f32 (*.f32 -2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u2)))) 1)
(pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3) 1/3)
(sqrt.f32 (*.f32 u2 (pow.f32 (PI.f32) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u2)) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (PI.f32) 3)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u2))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (*.f32 (PI.f32) u2) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) 3) (pow.f32 u2 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(+.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)))
(+.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))))
(+.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))))
(+.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)) 1))
(+.f32 1/2 (+.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2))))
(+.f32 1/2 (-.f32 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)))
(+.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (+.f32 (neg.f32 (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))))
(+.f32 (neg.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) u2)) 2)) (pow.f32 (cos.f32 (*.f32 (PI.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)) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(+.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) 1) (*.f32 (neg.f32 (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 (pow.f32 (cos.f32 (*.f32 (PI.f32) u2)) 2) (-.f32 (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))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
(-.f32 (exp.f32 (log1p.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))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(*.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.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 (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.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 (*.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 (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 (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 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 (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 (-.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 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 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 u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (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 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(neg.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 1 (*.f32 u2 (PI.f32)))
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(neg.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 1 (*.f32 u2 (PI.f32)))
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(neg.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 1 (*.f32 u2 (PI.f32)))
(*.f32 -1 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(neg.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))
(*.f32 1 (*.f32 u2 (PI.f32)))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1)
(+.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 (fma.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(+.f32 1 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 2/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)))))
(+.f32 (fma.f32 -2 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 2/3 (pow.f32 u2 4))))
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(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(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 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) (*.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 u2))) (fma.f32 (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (+.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 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 (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 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(+.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) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (log1p.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))) 1)
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (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 (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)) (+.f32 (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)) (+.f32 (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) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)) (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 (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)) (+.f32 (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)) (+.f32 (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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(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 u2 u2))) 2) (log1p.f32 u1)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 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 u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1)))

eval1.1s (7.4%)

Compiler

Compiled 38833 to 20303 computations (47.7% saved)

prune549.0ms (3.8%)

Pruning

61 alts after pruning (52 fresh and 9 done)

PrunedKeptTotal
New1223161239
Fresh63642
Picked011
Done189
Total1230611291
Error
0.0b
Counts
1291 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
7.6b
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
7.6b
(/.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
7.6b
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
8.2b
(*.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)
7.6b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
0.4b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
0.3b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
8.4b
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
7.5b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
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)
2.3b
(*.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)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
8.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
15.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
17.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
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 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 3) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))
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)))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.4b
(*.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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
0.4b
(*.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)
14.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.7b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
11.6b
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
6.9b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
30.3b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
11.9b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
11.6b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
8.3b
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
7.0b
(sqrt.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
6.4b
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
7.9b
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
6.2b
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
12.2b
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
16.6b
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
6.8b
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
7.8b
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
8.8b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
11.1b
(sqrt.f32 u1)
Compiler

Compiled 1970 to 1628 computations (17.4% saved)

localize81.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))
0.3b
(*.f32 u2 (PI.f32))
0.9b
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)
6.0b
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))
Compiler

Compiled 91 to 45 computations (50.5% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)
1.0ms
u2
@inf
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)
1.0ms
u2
@-inf
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))

rewrite105.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
868×associate-*r/
698×associate-*l/
448×add-sqr-sqrt
430×*-un-lft-identity
426×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02299
145179
2560279
Stop Event
node limit
Counts
3 → 182
Calls
Call 1
Inputs
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 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)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2) (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))))

simplify239.0ms (1.6%)

Algorithm
egg-herbie
Rules
1084×associate-+r+
854×associate-+l+
824×+-commutative
808×associate-*r*
756×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059115178
1157413950
2654013950
Stop Event
node limit
Counts
218 → 314
Calls
Call 1
Inputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 (+.f32 (*.f32 -1/2520 (pow.f32 (PI.f32) 8)) (*.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))
(+.f32 (*.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (pow.f32 (PI.f32) 3)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))
(+.f32 (*.f32 (pow.f32 u2 10) (+.f32 (pow.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) 2) (*.f32 2 (*.f32 (+.f32 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (PI.f32)) (+.f32 (*.f32 1/18 (pow.f32 (PI.f32) 7)) (*.f32 1/120 (pow.f32 (PI.f32) 7)))) (pow.f32 (PI.f32) 3))))) (+.f32 (*.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (pow.f32 (PI.f32) 3)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))
(+.f32 (*.f32 (pow.f32 u2 12) (+.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 (+.f32 (*.f32 -1/2520 (pow.f32 (PI.f32) 8)) (*.f32 -1/360 (pow.f32 (PI.f32) 8))) (PI.f32)) (+.f32 (*.f32 -1/5040 (pow.f32 (PI.f32) 9)) (*.f32 -1/360 (pow.f32 (PI.f32) 9))))) (pow.f32 (PI.f32) 3))) (*.f32 2 (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (+.f32 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (PI.f32)) (+.f32 (*.f32 1/18 (pow.f32 (PI.f32) 7)) (*.f32 1/120 (pow.f32 (PI.f32) 7)))))))) (+.f32 (*.f32 (pow.f32 u2 10) (+.f32 (pow.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) 2) (*.f32 2 (*.f32 (+.f32 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (PI.f32)) (+.f32 (*.f32 1/18 (pow.f32 (PI.f32) 7)) (*.f32 1/120 (pow.f32 (PI.f32) 7)))) (pow.f32 (PI.f32) 3))))) (+.f32 (*.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (pow.f32 (PI.f32) 3)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (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) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (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) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))
(+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))))
(+.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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 2)))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))))))
(+.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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (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)))))) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (pow.f32 u1 3)))) (+.f32 (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) u1))) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 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 -2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (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) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(+.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 0)
(+.f32 0 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(+.f32 -1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1)
(-.f32 0 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(-.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) 1)
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1)
(*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -1)
(*.f32 1 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sin.f32 (*.f32 u2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (neg.f32 (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2) (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 12))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2) (*.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (cbrt.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 12))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 2))
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(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2) (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
Outputs
(*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))
(*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))
(+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))
(fma.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))
(fma.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4))))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4)))))
(+.f32 (*.f32 (pow.f32 u2 6) (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6)))) (+.f32 (*.f32 (+.f32 (*.f32 -1/2520 (pow.f32 (PI.f32) 8)) (*.f32 -1/360 (pow.f32 (PI.f32) 8))) (pow.f32 u2 8)) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))) (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (*.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 -1/3 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4)) (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 6) (*.f32 (pow.f32 (PI.f32) 6) 2/45) (fma.f32 (*.f32 (pow.f32 (PI.f32) 8) -1/315) (pow.f32 u2 8) (fma.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2) (*.f32 (pow.f32 (PI.f32) 4) (*.f32 -1/3 (pow.f32 u2 4))))))
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))
(+.f32 (*.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (pow.f32 (PI.f32) 3)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))
(fma.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))
(fma.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 5)) -1/2)) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))
(+.f32 (*.f32 (pow.f32 u2 10) (+.f32 (pow.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) 2) (*.f32 2 (*.f32 (+.f32 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (PI.f32)) (+.f32 (*.f32 1/18 (pow.f32 (PI.f32) 7)) (*.f32 1/120 (pow.f32 (PI.f32) 7)))) (pow.f32 (PI.f32) 3))))) (+.f32 (*.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (pow.f32 (PI.f32) 3)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))
(fma.f32 (pow.f32 u2 10) (+.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) 2) (*.f32 2 (*.f32 (pow.f32 (PI.f32) 3) (fma.f32 (*.f32 (pow.f32 (PI.f32) 6) 2/45) (PI.f32) (*.f32 (pow.f32 (PI.f32) 7) 23/360))))) (fma.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))
(fma.f32 (pow.f32 u2 10) (fma.f32 2 (*.f32 (pow.f32 (PI.f32) 3) (fma.f32 (pow.f32 (PI.f32) 7) 23/360 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 2/45 (PI.f32))))) (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) 2)) (fma.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 5)) -1/2)) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))
(+.f32 (*.f32 (pow.f32 u2 12) (+.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 -1/6 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 (+.f32 (*.f32 -1/2520 (pow.f32 (PI.f32) 8)) (*.f32 -1/360 (pow.f32 (PI.f32) 8))) (PI.f32)) (+.f32 (*.f32 -1/5040 (pow.f32 (PI.f32) 9)) (*.f32 -1/360 (pow.f32 (PI.f32) 9))))) (pow.f32 (PI.f32) 3))) (*.f32 2 (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (+.f32 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (PI.f32)) (+.f32 (*.f32 1/18 (pow.f32 (PI.f32) 7)) (*.f32 1/120 (pow.f32 (PI.f32) 7)))))))) (+.f32 (*.f32 (pow.f32 u2 10) (+.f32 (pow.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) 2) (*.f32 2 (*.f32 (+.f32 (*.f32 (+.f32 (*.f32 1/60 (pow.f32 (PI.f32) 6)) (*.f32 1/36 (pow.f32 (PI.f32) 6))) (PI.f32)) (+.f32 (*.f32 1/18 (pow.f32 (PI.f32) 7)) (*.f32 1/120 (pow.f32 (PI.f32) 7)))) (pow.f32 (PI.f32) 3))))) (+.f32 (*.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (+.f32 (*.f32 -1/3 (pow.f32 (PI.f32) 5)) (*.f32 -1/6 (pow.f32 (PI.f32) 5))) (pow.f32 (PI.f32) 3)))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))
(fma.f32 (pow.f32 u2 12) (*.f32 2 (+.f32 (*.f32 (pow.f32 (PI.f32) 3) (fma.f32 -1/6 (*.f32 (*.f32 (pow.f32 (PI.f32) 6) 2/45) (pow.f32 (PI.f32) 3)) (fma.f32 (*.f32 (pow.f32 (PI.f32) 8) -1/315) (PI.f32) (*.f32 (pow.f32 (PI.f32) 9) -1/336)))) (*.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) (fma.f32 (*.f32 (pow.f32 (PI.f32) 6) 2/45) (PI.f32) (*.f32 (pow.f32 (PI.f32) 7) 23/360))))) (fma.f32 (pow.f32 u2 10) (+.f32 (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) 2) (*.f32 2 (*.f32 (pow.f32 (PI.f32) 3) (fma.f32 (*.f32 (pow.f32 (PI.f32) 6) 2/45) (PI.f32) (*.f32 (pow.f32 (PI.f32) 7) 23/360))))) (fma.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) (pow.f32 (PI.f32) 3))) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))
(fma.f32 (pow.f32 u2 12) (*.f32 2 (fma.f32 (pow.f32 (PI.f32) 3) (fma.f32 -1/6 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 2/45 (pow.f32 (PI.f32) 3))) (fma.f32 (pow.f32 (PI.f32) 9) -1/336 (*.f32 (pow.f32 (PI.f32) 8) (*.f32 -1/315 (PI.f32))))) (*.f32 (pow.f32 (PI.f32) 5) (*.f32 -1/2 (fma.f32 (pow.f32 (PI.f32) 7) 23/360 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 2/45 (PI.f32)))))))) (fma.f32 (pow.f32 u2 10) (fma.f32 2 (*.f32 (pow.f32 (PI.f32) 3) (fma.f32 (pow.f32 (PI.f32) 7) 23/360 (*.f32 (pow.f32 (PI.f32) 6) (*.f32 2/45 (PI.f32))))) (pow.f32 (*.f32 (pow.f32 (PI.f32) 5) -1/2) 2)) (fma.f32 2 (*.f32 (pow.f32 u2 8) (*.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 (PI.f32) 5)) -1/2)) (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)))))
(*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sqrt.f32 -1) (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1)) (*.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 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) (*.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 (sqrt.f32 -1) u1) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) u1))))))
(+.f32 (*.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) (*.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) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) u1) (/.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1) u1))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2 1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) u1) (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)) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) (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) (*.f32 (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 -2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -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))) (*.f32 (sqrt.f32 -1) (*.f32 (+.f32 1 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) -2)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
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(*.f32 (fma.f32 8 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6) 1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 4 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 12)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1)) 1)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(pow.f32 (*.f32 (hypot.f32 1 (*.f32 (sqrt.f32 2) (sin.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (log1p.f32 u1) 1/4)) 2)
(pow.f32 (*.f32 (hypot.f32 1 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 2))) (pow.f32 (log1p.f32 u1) 1/4)) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))) 3)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1)) 3) 1/3)
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 2)))
(log.f32 (pow.f32 (exp.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1)) (sqrt.f32 (log1p.f32 u1))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1)))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1)) 3))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))) 1))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2 1))))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))
(fma.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 2) (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(fma.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (fma.f32 2 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 1))

localize6.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize41.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f32 u1)
0.3b
(pow.f32 (log1p.f32 u1) 3/2)
1.5b
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
Compiler

Compiled 27 to 19 computations (29.6% saved)

series11.0ms (0.1%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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)
3.0ms
u1
@inf
(pow.f32 (log1p.f32 u1) 3/2)
1.0ms
u1
@0
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
1.0ms
u1
@-inf
(pow.f32 (log1p.f32 u1) 3/2)

rewrite55.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1512×add-sqr-sqrt
1470×*-un-lft-identity
1396×add-cube-cbrt
1384×add-cbrt-cube
1368×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0922
119320
2209420
Stop Event
node limit
Counts
2 → 38
Calls
Call 1
Inputs
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(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 (pow.f32 (log1p.f32 u1) 1/4) (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 (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 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 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 (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 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))))) (#(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 (*.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 (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 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.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 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 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)))))))

simplify77.0ms (0.5%)

Algorithm
egg-herbie
Rules
1422×associate-/l*
730×distribute-lft-in
718×distribute-rgt-in
610×associate-*r/
578×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03055406
18844910
231554462
Stop Event
node limit
Counts
62 → 127
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)))))
(+.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)))) (+.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (*.f32 -1/3 (/.f32 (-.f32 (*.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (-.f32 (+.f32 (*.f32 -1/4 (+.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 9/8 (/.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 9/16 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))))) (+.f32 (*.f32 -1/8 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))) (*.f32 -1 (*.f32 (pow.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) 1/3) (-.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 3)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (*.f32 -3/4 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (*.f32 -63/128 (sqrt.f32 (pow.f32 u1 9))) (*.f32 19/32 (sqrt.f32 (pow.f32 u1 7))))))
(*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3)))
(+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (*.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))
(+.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)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (*.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1)))))))
(+.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)) (pow.f32 u1 3)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 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)) (pow.f32 u1 2)) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (+.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (pow.f32 (log.f32 (/.f32 1 u1)) 3))) (*.f32 -3/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 (log.f32 (/.f32 1 u1))))))))
(sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3))
(+.f32 (*.f32 3/2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))
(+.f32 (*.f32 3/2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (*.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.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)))))) (pow.f32 u1 2)))))
(+.f32 (*.f32 3/2 (*.f32 (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))) (/.f32 1 u1))) (+.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (-.f32 (+.f32 (*.f32 -1/4 (+.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 9/8 (/.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 9/16 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)))) (pow.f32 u1 3)))) (*.f32 (sqrt.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)) 3)) (/.f32 (+.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)))))) (pow.f32 u1 2))))))
(-.f32 (+.f32 1 (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 (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 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (pow.f32 1 1/3) (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))
(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 (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 (+.f32 1 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(*.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1)))
(*.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 (*.f32 (log1p.f32 u1) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (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 (pow.f32 1 3/2) (pow.f32 (log1p.f32 u1) 3/2))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.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))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log.f32 (exp.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)))
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)))
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(pow.f32 (log1p.f32 u1) 3/2)
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 3/2))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 3)
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 3))
(fabs.f32 (pow.f32 (log1p.f32 u1) 3/2))
(log.f32 (exp.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (log1p.f32 u1) 3/2)
(cbrt.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 3))
(pow.f32 (log1p.f32 u1) 3/2)
(expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 3/2)
(exp.f32 (*.f32 (*.f32 3/2 (log.f32 (log1p.f32 u1))) 1))
(pow.f32 (log1p.f32 u1) 3/2)
(log1p.f32 (expm1.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (log1p.f32 u1) 3/2)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(cbrt.f32 (log1p.f32 u1))
0.1b
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
0.3b
(-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
0.6b
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
Compiler

Compiled 49 to 18 computations (63.3% saved)

series22.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
5.0ms
u1
@inf
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
5.0ms
u1
@-inf
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
3.0ms
u1
@inf
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
3.0ms
u1
@-inf
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
2.0ms
u1
@inf
(-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1))))

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
904×*-commutative
830×unswap-sqr
530×swap-sqr
506×associate-*r/
430×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01368
127660
2327752
Stop Event
node limit
Counts
4 → 212
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(cbrt.f32 (log1p.f32 u1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1 (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 (log1p.f32 (*.f32 u1 u1))) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) (+.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (fma.f32 (neg.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u1 u1))) 2) (log1p.f32 (*.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (fma.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1 (log1p.f32 (*.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) (fma.f32 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simplify239.0ms (1.6%)

Algorithm
egg-herbie
Rules
1522×associate-*r*
1216×associate-*l*
948×*-commutative
722×associate-+r+
722×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081533526
1248033438
Stop Event
node limit
Counts
248 → 403
Calls
Call 1
Inputs
(*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (*.f32 1/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1))))))
(+.f32 (*.f32 (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (*.f32 (cbrt.f32 -1) (+.f32 (*.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))) (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (cbrt.f32 -1)))))) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (*.f32 -1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 u1 2)))))))))
(+.f32 (*.f32 (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (*.f32 (cbrt.f32 -1) (+.f32 (*.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))) (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (cbrt.f32 -1)))))) (pow.f32 u1 2))) (+.f32 (*.f32 1/3 (*.f32 (/.f32 (-.f32 1/3 (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (*.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/27 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (pow.f32 u1 3)) (pow.f32 1 1/3))) (+.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 -2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 8)) 1/9) (*.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 8)) 1/3)))) (*.f32 2/3 (*.f32 (/.f32 (-.f32 1/3 (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (*.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/27 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (cbrt.f32 -1)) (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3)))) (cbrt.f32 -1)) (pow.f32 u1 3)) (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3)) (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (+.f32 (*.f32 -2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (*.f32 (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 u1 2)))) (+.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/9) (*.f32 (/.f32 (+.f32 (*.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))) (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (cbrt.f32 -1))))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3)))))))))))))
(*.f32 (pow.f32 1 1/3) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))
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u1
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(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1/4)) (sqrt.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) (*.f32 (cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1/4)) (sqrt.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 1 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 1 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) 1) (sqrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) 1) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(/.f32 (*.f32 (cbrt.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1/2)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 1)
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(log.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))
(exp.f32 (log.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))
(log1p.f32 (expm1.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 1 1/3))
(*.f32 1 (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 u1) 1/6) (pow.f32 (log1p.f32 u1) 1/6))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))
(*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/3) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/3) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3) (pow.f32 (sqrt.f32 (log1p.f32 u1)) 1/3))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))))
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (log1p.f32 u1) 1/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 2)
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (log1p.f32 u1)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1))))
(neg.f32 (neg.f32 (log.f32 u1)))
(+.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (*.f32 1/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1))))))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18)) (*.f32 (/.f32 1 u1) (cbrt.f32 (pow.f32 (cbrt.f32 -1) 4)))) 1))
(fma.f32 -1 (neg.f32 (log.f32 u1)) (*.f32 1 (*.f32 (*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18)) (*.f32 (/.f32 1 u1) (cbrt.f32 (pow.f32 (cbrt.f32 -1) 4))))))
(+.f32 (*.f32 (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (*.f32 (cbrt.f32 -1) (+.f32 (*.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))) (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (cbrt.f32 -1)))))) (pow.f32 u1 2))) (+.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (*.f32 -1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 u1 2)))))))))
(fma.f32 (cbrt.f32 (neg.f32 (log.f32 u1))) (/.f32 (cbrt.f32 -1) (/.f32 (*.f32 u1 u1) (fma.f32 1/9 (*.f32 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 4)) 1/18)) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)))) (*.f32 -2/3 (*.f32 (cbrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 (fma.f32 1/3 (*.f32 (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (cbrt.f32 -1))))))) (fma.f32 -1 (neg.f32 (log.f32 u1)) (fma.f32 2/9 (*.f32 (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (*.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) (/.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18)) (*.f32 (/.f32 1 u1) (cbrt.f32 (pow.f32 (cbrt.f32 -1) 4)))) 1) (*.f32 -1/3 (/.f32 (fma.f32 1/3 (*.f32 (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (cbrt.f32 (/.f32 1 (cbrt.f32 -1)))) 1/2) (*.f32 u1 u1)))))))
(fma.f32 (cbrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/9 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 4)) 1/18) (*.f32 (pow.f32 (/.f32 1 (pow.f32 (neg.f32 (log.f32 u1)) 4)) 1/18) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4))))) (*.f32 (cbrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 (fma.f32 1/3 (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) 1/2) (cbrt.f32 -1)) -2/3)))) (fma.f32 -1 (neg.f32 (log.f32 u1)) (fma.f32 2/9 (*.f32 (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18)) (*.f32 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) (/.f32 1 (*.f32 u1 u1)))) (+.f32 (*.f32 1 (*.f32 (*.f32 (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18) (pow.f32 (pow.f32 (neg.f32 (log.f32 u1)) 4) 1/18)) (*.f32 (/.f32 1 u1) (cbrt.f32 (pow.f32 (cbrt.f32 -1) 4))))) (*.f32 -1/3 (/.f32 (fma.f32 1/3 (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (*.f32 (pow.f32 (/.f32 1 (neg.f32 (log.f32 u1))) 1/18) (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) 1/2) (*.f32 u1 u1)))))))
(+.f32 (*.f32 (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (*.f32 (cbrt.f32 -1) (+.f32 (*.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))) (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (cbrt.f32 -1)))))) (pow.f32 u1 2))) (+.f32 (*.f32 1/3 (*.f32 (/.f32 (-.f32 1/3 (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (*.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/27 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (pow.f32 u1 3)) (pow.f32 1 1/3))) (+.f32 (*.f32 (/.f32 (*.f32 (+.f32 (*.f32 -2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 8)) 1/9) (*.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 8)) 1/3)))) (*.f32 2/3 (*.f32 (/.f32 (-.f32 1/3 (+.f32 (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (*.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (*.f32 1/27 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/3) (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)))))) (cbrt.f32 -1)) (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3)))) (cbrt.f32 -1)) (pow.f32 u1 3)) (pow.f32 (*.f32 1 (log.f32 (/.f32 1 u1))) 1/3)) (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (+.f32 (*.f32 -2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 5)) 1/9) (*.f32 (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3)))) (+.f32 (*.f32 -1/3 (*.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (pow.f32 u1 2)))) (+.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 2/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (*.f32 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3) (/.f32 1 (pow.f32 u1 2))))) (+.f32 (*.f32 2/3 (*.f32 (pow.f32 (*.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (*.f32 (pow.f32 (pow.f32 (cbrt.f32 -1) 4) 1/3) (/.f32 1 u1)))) (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 2)) 1/9) (*.f32 (/.f32 (+.f32 (*.f32 1/9 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (pow.f32 (log.f32 (/.f32 1 u1)) 4)) 1/9) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 4)) 1/3))) (*.f32 -2/3 (*.f32 (pow.f32 (/.f32 1 (log.f32 (/.f32 1 u1))) 1/3) (/.f32 (+.f32 (*.f32 1/3 (*.f32 (pow.f32 (/.f32 (pow.f32 1 4) (log.f32 (/.f32 1 u1))) 1/9) (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) 1/2) (cbrt.f32 -1))))) (pow.f32 u1 3)) (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3)))))))))))))
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u1
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(fma.f32 1/4 (pow.f32 u1 3) u1)
(sqrt.f32 (-.f32 (*.f32 -1 (*.f32 (pow.f32 1 1/3) (log.f32 (/.f32 1 u1)))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))
(sqrt.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (log.f32 -1) (*.f32 (neg.f32 (log.f32 u1)) -2))))
(sqrt.f32 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2)))
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(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))))
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/6)) (sqrt.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 2))))
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 1)
(cbrt.f32 (log1p.f32 u1))
(pow.f32 (log1p.f32 u1) 1/3)
(cbrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/6) 2)
(cbrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) 3)
(cbrt.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 u1))))
(cbrt.f32 (log1p.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (cbrt.f32 (log1p.f32 u1))))
(cbrt.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (cbrt.f32 (log1p.f32 u1))))
(cbrt.f32 (log1p.f32 u1))
(log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 u1))))
(cbrt.f32 (log1p.f32 u1))

localize83.0ms (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 (PI.f32) (+.f32 u2 u2)))
0.2b
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
0.3b
(*.f32 (PI.f32) (+.f32 u2 u2))
Compiler

Compiled 66 to 18 computations (72.7% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
u2
@0
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
0.0ms
u2
@inf
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
0.0ms
u2
@-inf
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
0.0ms
u2
@0
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
0.0ms
u2
@-inf
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))

rewrite186.0ms (1.3%)

Algorithm
egg-rewrite
egg-rewrite-iter-limit
batch-egg-rewrite
Rules
1818×add-sqr-sqrt
1802×*-un-lft-identity
1674×add-cube-cbrt
1650×add-cbrt-cube
898×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01238
125038
2288738
01219
125019
2288719
01219
0919
118719
2246919
Stop Event
node limit
iter limit
node limit
node limit
Counts
2 → 29
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))))))

simplify60.0ms (0.4%)

Algorithm
egg-herbie
Rules
1280×associate-*r*
1036×associate-*l*
1014×distribute-lft-in
1012×distribute-rgt-in
772×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0931367
12071311
28271247
338421247
Stop Event
node limit
Counts
53 → 44
Calls
Call 1
Inputs
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (+.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))))
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 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cbrt.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(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 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(*.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(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)))))
Outputs
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(fma.f32 -2 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2)) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 2/3) 1))
(+.f32 (*.f32 (pow.f32 u2 4) (-.f32 (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (pow.f32 (PI.f32) 4)) (pow.f32 (*.f32 -1 (pow.f32 (PI.f32) 2)) 2))) (+.f32 1 (+.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))))))
(fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 (fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)) (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))
(fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) 1)))
(fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2)) (fma.f32 (pow.f32 (PI.f32) 6) (*.f32 -4/45 (pow.f32 u2 6)) 1)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
1
(+.f32 1 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2)))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)
(fma.f32 -2 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 2))) 1)
(+.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)))))
(fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (*.f32 (*.f32 -2 (*.f32 u2 u2)) (pow.f32 (PI.f32) 2))))
(fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1))
(fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) 1))
(fma.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2)) (fma.f32 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 u2 4) 2/3) 1))
(+.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))))))
(fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 5/3 (pow.f32 (PI.f32) 4)) (pow.f32 (neg.f32 (pow.f32 (PI.f32) 2)) 2)) (+.f32 1 (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (*.f32 (*.f32 -4/45 (pow.f32 u2 6)) (pow.f32 (PI.f32) 6)))))
(+.f32 (fma.f32 (pow.f32 u2 4) (-.f32 (*.f32 (pow.f32 (PI.f32) 4) 5/3) (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) 1)) (*.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6))))
(fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) (fma.f32 -2 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 2)) (fma.f32 -4/45 (*.f32 (pow.f32 u2 6) (pow.f32 (PI.f32) 6)) 1)))
(fma.f32 (pow.f32 u2 4) (*.f32 2/3 (pow.f32 (PI.f32) 4)) (fma.f32 (pow.f32 (PI.f32) 2) (*.f32 -2 (*.f32 u2 u2)) (fma.f32 (pow.f32 (PI.f32) 6) (*.f32 -4/45 (pow.f32 u2 6)) 1)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cbrt.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 2))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (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 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 1 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2) (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 1)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 3)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(pow.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3) 1/3)
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(sqrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(cbrt.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 3))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(expm1.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(exp.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 1))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))
(log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))))
(cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cos.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))
(cos.f32 (*.f32 u2 (*.f32 2 (PI.f32))))

eval1.2s (8.3%)

Compiler

Compiled 51033 to 35840 computations (29.8% saved)

prune442.0ms (3%)

Pruning

67 alts after pruning (53 fresh and 14 done)

PrunedKeptTotal
New103491043
Fresh34447
Picked011
Done01313
Total1037671104
Error
0.0b
Counts
1104 → 67
Alt Table
Click to see full alt table
StatusErrorProgram
9.5b
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
7.6b
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
7.6b
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
25.9b
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
12.0b
(*.f32 (pow.f32 (pow.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
8.2b
(*.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)
11.5b
(*.f32 (pow.f32 (pow.f32 u1 3/2) 1/3) 1)
7.6b
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
14.5b
(*.f32 (-.f32 (+.f32 1 (sqrt.f32 (log1p.f32 u1))) 1) 1)
14.2b
(*.f32 (+.f32 1 (-.f32 (sqrt.f32 (log1p.f32 u1)) 1)) 1)
0.4b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
0.4b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
0.3b
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
8.4b
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
7.5b
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
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)
2.3b
(*.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)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
8.4b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
15.8b
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
0.6b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
15.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
17.3b
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)) 2))
2.0b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
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 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2)))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 2)))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 2))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (-.f32 1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) 1))
0.5b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) 1))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))
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)))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.9b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
0.4b
(*.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 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
0.3b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.4b
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
0.4b
(*.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)
14.6b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
16.7b
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) 1)
11.6b
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
6.9b
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
30.3b
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1)
11.9b
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
11.6b
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
8.3b
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
7.0b
(sqrt.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
6.4b
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
7.9b
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
6.2b
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
12.2b
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
16.6b
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
6.8b
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
7.8b
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
8.8b
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
11.1b
(sqrt.f32 u1)
25.9b
u1
Compiler

Compiled 1132 to 943 computations (16.7% saved)

regimes424.0ms (2.9%)

Counts
89 → 1
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 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)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.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 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
(*.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)
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
(*.f32 (pow.f32 (pow.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (-.f32 1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) 1))
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(/.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(*.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 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))) 1))
(*.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 2 (log1p.f32 (-.f32 (sqrt.f32 (-.f32 1 u1)) 1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (+.f32 (*.f32 -1/6 (pow.f32 u1 3)) (+.f32 (*.f32 -1/4 (pow.f32 u1 2)) (*.f32 -1/2 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (cos.f32 (*.f32 2 (*.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))))))
(*.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)))) (log.f32 (exp.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))))
(pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1))
(*.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 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 6)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 1/2 (log1p.f32 (neg.f32 u1)))) 3)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (log.f32 (pow.f32 (exp.f32 u2) (PI.f32))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 (PI.f32))))) 2))) 1))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (log1p.f32 (expm1.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 2 u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 (PI.f32)))) 3) 2))) 1))
(*.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 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2)))
(*.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 (log1p.f32 (neg.f32 u1)))) (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) (-.f32 1/2 (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1/2))))
(*.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 (neg.f32 (log1p.f32 (neg.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)))) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (log1p.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) 1)) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (pow.f32 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))) 2))) 1))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (-.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 1/2) (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (+.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)) 2)))
(/.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))
(*.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 (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 (/.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)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2)))) 2))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 (+.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 (pow.f32 (pow.f32 (cos.f32 (*.f32 u2 (PI.f32))) 2) 3) (pow.f32 (pow.f32 (sin.f32 (*.f32 u2 (PI.f32))) 2) 3))))
Outputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
Calls

10 calls:

73.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
71.0ms
(-.f32 1 u1)
41.0ms
u1
41.0ms
u2
38.0ms
cosTheta_i
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 1454 to 775 computations (46.7% saved)

regimes184.0ms (1.3%)

Counts
45 → 1
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 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)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.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 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
(*.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)
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
(*.f32 (pow.f32 (pow.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.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 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 -1 (/.f32 1 (log1p.f32 u1))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (*.f32 2 (neg.f32 (-.f32 1/2 (/.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) 1))
(sqrt.f32 (-.f32 (exp.f32 (log.f32 (log1p.f32 u1))) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 u2 u2))) 2) (log1p.f32 u1)))
(sqrt.f32 (-.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (log1p.f32 u1) (/.f32 (sqrt.f32 (log1p.f32 u1)) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(/.f32 (*.f32 (log1p.f32 u1) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1)))
(*.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 3 (log.f32 (cbrt.f32 (-.f32 1 u1)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

10 calls:

21.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
21.0ms
u1
21.0ms
u2
20.0ms
cosTheta_i
19.0ms
(-.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 576 to 379 computations (34.2% saved)

regimes213.0ms (1.5%)

Counts
31 → 2
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 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)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.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 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
(*.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)
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
(*.f32 (pow.f32 (pow.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.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)))
Outputs
(*.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 (log1p.f32 (neg.f32 u1)))) 1)
Calls

9 calls:

31.0ms
(log.f32 (-.f32 1 u1))
29.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
28.0ms
u1
27.0ms
u2
25.0ms
(-.f32 1 u1)
Results
ErrorSegmentsBranch
2.3b1cosTheta_i
1.0b2u1
1.0b2u2
1.0b2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.0b2(neg.f32 (log.f32 (-.f32 1 u1)))
1.0b2(log.f32 (-.f32 1 u1))
1.0b2(-.f32 1 u1)
1.0b2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.0b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 368 to 253 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999998211860657
0.9999998807907104
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes196.0ms (1.3%)

Counts
30 → 2
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 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)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.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 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
(*.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)
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
(*.f32 (pow.f32 (pow.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/4)))))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

9 calls:

28.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
27.0ms
u2
27.0ms
u1
24.0ms
(-.f32 1 u1)
24.0ms
(log.f32 (-.f32 1 u1))
Results
ErrorSegmentsBranch
3.3b1cosTheta_i
1.4b2u1
1.2b2u2
1.4b2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.4b2(neg.f32 (log.f32 (-.f32 1 u1)))
1.4b2(log.f32 (-.f32 1 u1))
1.4b2(-.f32 1 u1)
1.2b2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.2b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 348 to 240 computations (31% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.003837337251752615
0.004075874574482441
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes324.0ms (2.2%)

Counts
28 → 2
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 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)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.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 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
(*.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)
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (-.f32 (log.f32 (+.f32 u1 1)) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) 1)
(*.f32 (pow.f32 (pow.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (fma.f32 (*.f32 u1 u1) -1/2 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
(sqrt.f32 (+.f32 (*.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/3 (pow.f32 u1 3)) u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
Calls

9 calls:

60.0ms
(-.f32 1 u1)
57.0ms
u1
53.0ms
cosTheta_i
48.0ms
(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
27.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
Results
ErrorSegmentsBranch
6.2b1cosTheta_i
3.0b2u1
2.2b2u2
3.0b2(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
3.0b2(neg.f32 (log.f32 (-.f32 1 u1)))
3.0b2(log.f32 (-.f32 1 u1))
3.0b2(-.f32 1 u1)
2.2b2(cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
2.2b2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 314 to 215 computations (31.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.007119261659681797
0.00784587673842907
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes69.0ms (0.5%)

Counts
21 → 1
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 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)
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(*.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 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1))))
(*.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)
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 -1/2) (neg.f32 u1)))) 1)
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) 1)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) 1)
(sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
Calls

7 calls:

11.0ms
u1
11.0ms
u2
10.0ms
cosTheta_i
10.0ms
(-.f32 1 u1)
10.0ms
(log.f32 (-.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 216 to 151 computations (30.1% saved)

regimes56.0ms (0.4%)

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

40.0ms
u2
9.0ms
cosTheta_i
5.0ms
u1
Results
ErrorSegmentsBranch
7.4b1cosTheta_i
7.4b1u1
7.4b1u2
Compiler

Compiled 87 to 62 computations (28.7% saved)

regimes16.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
Calls

3 calls:

5.0ms
u1
5.0ms
u2
4.0ms
cosTheta_i
Results
ErrorSegmentsBranch
7.8b1cosTheta_i
7.8b1u1
7.8b1u2
Compiler

Compiled 57 to 42 computations (26.3% saved)

regimes14.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
u1
(sqrt.f32 u1)
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) 1)
(+.f32 (*.f32 1/4 (pow.f32 u1 3)) u1)
(*.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:

5.0ms
u2
4.0ms
u1
4.0ms
cosTheta_i
Results
ErrorSegmentsBranch
8.4b1cosTheta_i
8.4b1u1
8.4b1u2
Compiler

Compiled 42 to 31 computations (26.2% saved)

regimes13.0ms (0.1%)

Accuracy

Total -14.9b remaining (-133.8%)

Threshold costs -14.9b (-133.8%)

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

3 calls:

5.0ms
u2
4.0ms
u1
3.0ms
cosTheta_i
Results
ErrorSegmentsBranch
11.1b1cosTheta_i
11.1b1u1
11.1b1u2
Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify72.0ms (0.5%)

Algorithm
egg-herbie
Rules
232×distribute-lft-neg-in
144×*-commutative
126×distribute-rgt-neg-in
92×+-commutative
84×distribute-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081501
1137501
2172497
3248481
4318481
5416481
6528481
7604481
8619481
9621481
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 16777213/16777216) (*.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 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 8589935/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 16106127/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.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 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 -1/2 (*.f32 u1 u1)) u1))) 1)
(sqrt.f32 u1)
u1
Outputs
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 16777213/16777216) (*.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 (log1p.f32 (neg.f32 u1)))) 1))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 16777213/16777216) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 16777213/16777216) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 (neg.f32 u1)) (+.f32 -1/2 (*.f32 u1 -1/3)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 16777213/16777216) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 16777213/16777216) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3)))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 8589935/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 8589935/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1)))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 8589935/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 -1/2))))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 16106127/2147483648) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1) (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 16106127/2147483648) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cos.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1)
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
(*.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)))))))
(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 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1))) 1)
(sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))) u1)))
(sqrt.f32 (+.f32 u1 (*.f32 u1 (neg.f32 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3)))))))
(sqrt.f32 (-.f32 u1 (*.f32 u1 (*.f32 u1 (+.f32 -1/2 (*.f32 u1 -1/3))))))
(sqrt.f32 (+.f32 u1 (*.f32 u1 (*.f32 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)))
(sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) -1/2)))
(sqrt.f32 u1)
u1
Compiler

Compiled 188 to 147 computations (21.8% saved)

soundness166.0ms (1.1%)

Algorithm
egg-herbie
Rules
1654×times-frac
1486×associate-/r/
1098×associate-/l*
1068×associate-*r*
1058×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04517214
111696360
251926234
05938784
115947682
Stop Event
node limit
node limit
Compiler

Compiled 242 to 164 computations (32.2% saved)

end92.0ms (0.6%)

Compiler

Compiled 158 to 91 computations (42.4% saved)

Profiling

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