Details

Time bar (total: 14.3s)

analyze179.0ms (1.2%)

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)

sample2.9s (20.1%)

Results
2.8s8256×body256valid
1.0msbody256precondition
Bogosity

preprocess41.0ms (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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 (PI.f32) (*.f32 2 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 cosTheta_i)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 cosTheta_i)))))
(*.f32 (sin.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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) cosTheta_i)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) cosTheta_i))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u1)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u2)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 2 (*.f32 u1 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 u1 (*.f32 2 (PI.f32)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u2)))) (sin.f32 (*.f32 (PI.f32) (*.f32 u1 2))))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify24.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01743
12941
24141
35141
46141
57541
69841
712341
820141
923441
1025641
1136641
1239441
1340741
1441141
1541241
Stop Event
saturated
Counts
1 → 3
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
1.5%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
1.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
42.54%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.41%
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
0.9%
(*.f32 (*.f32 2 (PI.f32)) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
44.75%
(log.f32 (-.f32 1 u1))
Compiler

Compiled 53 to 39 computations (26.4% saved)

series59.0ms (0.4%)

Counts
4 → 56
Calls

15 calls:

TimeVariablePointExpression
51.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite93.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
950×swap-sqr
520×distribute-rgt-in
516×associate-*r/
468×distribute-lft-in
420×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01788
133980
2409880
Stop Event
node limit
Counts
4 → 139
Calls
Call 1
Inputs
(log.f32 (-.f32 1 u1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (neg.f32 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 -1 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (*.f32 (neg.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (*.f32 1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (*.f32 -1 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (*.f32 -1 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) 1) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1) (*.f32 (log.f32 (sqrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) -1) (*.f32 (log.f32 (cbrt.f32 (-.f32 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (log.f32 (sqrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (neg.f32 (log.f32 (cbrt.f32 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 u1 3))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (*.f32 u1 u1)))) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (log.f32 (-.f32 1 (pow.f32 u1 3)))) (log.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (neg.f32 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (sqrt.f32 (-.f32 1 u1)))) (log.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 0 (log.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (log.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (-.f32 1 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 (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))) (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 (*.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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simplify112.0ms (0.8%)

Algorithm
egg-herbie
Rules
1376×associate-/r/
808×associate-*l*
774×associate-*r*
646×+-commutative
622×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04517247
112076561
253446435
Stop Event
node limit
Counts
195 → 263
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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
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(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (sin.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 (*.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 u1) (-.f32 (log.f32 -1) (/.f32 1 u1))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (log.f32 u1) (-.f32 (-.f32 (log.f32 -1) (/.f32 1 u1)) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(+.f32 (log.f32 -1) (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))))
(-.f32 (-.f32 (+.f32 (log.f32 u1) (-.f32 (log.f32 -1) (/.f32 1 u1))) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(-.f32 (+.f32 (log.f32 -1) (log.f32 u1)) (-.f32 (/.f32 1/3 (pow.f32 u1 3)) (-.f32 (/.f32 -1 u1) (/.f32 1/2 (*.f32 u1 u1)))))
(*.f32 -1 (log.f32 (/.f32 -1 u1)))
(neg.f32 (log.f32 (/.f32 -1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (/.f32 1 u1))
(fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1)))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1)))
(-.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (/.f32 1 u1))))
(-.f32 (neg.f32 (log.f32 (/.f32 -1 u1))) (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3))))
(-.f32 (-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (/.f32 1/2 (*.f32 u1 u1))) (/.f32 1/3 (pow.f32 u1 3)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (/.f32 -1 u1)) (+.f32 (/.f32 1/2 (*.f32 u1 u1)) (/.f32 1/3 (pow.f32 u1 3))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(fma.f32 -1/2 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 u1 u1))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (pow.f32 u1 3))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)))))))
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(/.f32 (*.f32 -1 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3))) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(log1p.f32 (neg.f32 u1))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) -1) (log1p.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2)) (log1p.f32 (neg.f32 u1)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (neg.f32 (log1p.f32 (neg.f32 u1))))
(/.f32 (*.f32 (+.f32 0 (pow.f32 (log1p.f32 (neg.f32 u1)) 3)) -1) (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0))
(neg.f32 (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) 1) (log1p.f32 (neg.f32 u1)))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4)) (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 1/4) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 2))
(*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (pow.f32 (log1p.f32 (neg.f32 u1)) 3)))
(/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (log1p.f32 (neg.f32 u1)))
(/.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) 0) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))
(/.f32 (/.f32 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (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) (*.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 (+.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 (/.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 2) (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (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) (*.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 (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 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sin.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))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 1)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) u2)) 3) 1/3)
(*.f32 2 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) 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 2 (*.f32 (PI.f32) u2)))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 2 (*.f32 (PI.f32) 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 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1))
(*.f32 2 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(fabs.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.23%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.41%
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
0.9%
(*.f32 (PI.f32) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Compiler

Compiled 47 to 19 computations (59.6% saved)

series11.0ms (0.1%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
7.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.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
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))

rewrite88.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1000×unswap-sqr
888×swap-sqr
514×sqr-pow
340×distribute-rgt-in
326×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01686
132270
2391570
Stop Event
node limit
Counts
4 → 109
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (PI.f32) u2)
(sin.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 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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)) (sin.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)) (sin.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)) (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.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)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.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)) (sin.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)) (sin.f32 (*.f32 2 (*.f32 (PI.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 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 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))
((#(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)))))) (#(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 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 -1) (sqrt.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 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))))) (#(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 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.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 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sqrt.f32 -1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.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 (neg.f32 (pow.f32 -1 1/2)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))))))

simplify101.0ms (0.7%)

Algorithm
egg-herbie
Rules
1382×associate-/r*
1022×associate-*r/
932×associate-*l/
892×associate-*l*
842×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03817061
110406297
247116285
Stop Event
node limit
Counts
161 → 220
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
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(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2))
(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/6))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(-.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 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (neg.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (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))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/6))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(neg.f32 (sqrt.f32 (log1p.f32 u1)))
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.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) (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 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (/.f32 (pow.f32 u1 3) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (fma.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
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(*.f32 (neg.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
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(sqrt.f32 (log1p.f32 u1))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
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(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
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(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
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(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))
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eval239.0ms (1.7%)

Compiler

Compiled 13786 to 9384 computations (31.9% saved)

prune142.0ms (1%)

Pruning

44 alts after pruning (42 fresh and 2 done)

PrunedKeptTotal
New44142483
Fresh000
Picked011
Done011
Total44144485
Error
0.3%
Counts
485 → 44
Alt Table
Click to see full alt table
StatusErrorProgram
25.63%
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
24.84%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
24.44%
(/.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 (PI.f32) 0)))))
24.6%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
24.83%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
24.81%
(*.f32 (*.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)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
2.03%
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.71%
(*.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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.14%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
10.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.61%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.68%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
10.01%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.81%
(*.f32 (sqrt.f32 (neg.f32 (*.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))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
44.92%
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
22.44%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
6.99%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
3.38%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
2.63%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
41.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
2.77%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
4.19%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2)))
3.66%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2)))
15.88%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
6.06%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
2.21%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
2.78%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
1.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.58%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
5.26%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
1.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
1.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
41.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.61%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
5.76%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
43.29%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
42.54%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
42.81%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
24.43%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
25.64%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
24.47%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
25.23%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
27.16%
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
24.51%
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
Compiler

Compiled 1659 to 1403 computations (15.4% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.54%
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
0.9%
(*.f32 (PI.f32) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
2.33%
(pow.f32 (*.f32 (PI.f32) u2) 3)
Compiler

Compiled 68 to 34 computations (50% saved)

series6.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
2.0ms
u2
@-inf
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
0.0ms
u2
@0
(pow.f32 (*.f32 (PI.f32) u2) 3)
0.0ms
u2
@-inf
(pow.f32 (*.f32 (PI.f32) u2) 3)

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1274×unswap-sqr
962×swap-sqr
382×distribute-rgt-in
370×add-sqr-sqrt
352×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01965
139157
2446057
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(pow.f32 (*.f32 (PI.f32) u2) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) (*.f32 u2 (pow.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (*.f32 (PI.f32) (pow.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) (pow.f32 (*.f32 (PI.f32) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) (pow.f32 (*.f32 (PI.f32) u2) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (*.f32 (PI.f32) u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (PI.f32)) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) u2) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 3) (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 3/2) (pow.f32 1 3/2)) (pow.f32 (*.f32 (PI.f32) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 3/2) (pow.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) 3/2)) (*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3/2) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3) (*.f32 (PI.f32) u2)) (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3) (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/4) (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2))) (*.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/4) (sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3/2) (sqrt.f32 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3/4) (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) u2) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3)) (*.f32 (*.f32 (PI.f32) u2) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (pow.f32 u2 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (*.f32 u2 (sqrt.f32 u2))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (*.f32 u2 (sqrt.f32 u2))))))) (#(struct:change #<rule 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simplify90.0ms (0.6%)

Algorithm
egg-herbie
Rules
1428×distribute-lft-in
1418×associate-*r*
1388×associate-*l*
726×*-commutative
582×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03955521
111805055
248555049
Stop Event
node limit
Counts
163 → 189
Calls
Call 1
Inputs
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
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(*.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 (*.f32 (PI.f32) u2) 2) 1/3))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/3) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 1 1/3) (*.f32 (PI.f32) u2))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(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)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (PI.f32) u2))) 1/3))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
Outputs
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (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 u1 u1))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1)))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (*.f32 u1 u1) (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 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (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 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 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 -1)) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (pow.f32 u1 3))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 -1))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))))
(+.f32 (fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)) (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (/.f32 (*.f32 u1 u1) (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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(fma.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) u1) (fma.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 (*.f32 u1 u1) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2))))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))
(fma.f32 -1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (fma.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 -1 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) -1/2))))
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(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 2) 1/3) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(*.f32 (pow.f32 1 1/3) (*.f32 (PI.f32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3) (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3/2) 1/3))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2)) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(*.f32 u2 (PI.f32))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (PI.f32) u2))) 1/3))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.02%
(log1p.f32 (neg.f32 u1))
0.23%
(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
0.9%
(*.f32 u2 (PI.f32))
1.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
Compiler

Compiled 40 to 15 computations (62.5% saved)

series18.0ms (0.1%)

Counts
3 → 32
Calls

12 calls:

TimeVariablePointExpression
13.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
954×unswap-sqr
838×swap-sqr
474×sqr-pow
460×pow-sqr
322×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01555
130143
2366443
Stop Event
node limit
Counts
3 → 100
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(log1p.f32 (neg.f32 u1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 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)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 1) (+.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 u2) (PI.f32)))))) (#(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 log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 u1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (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 (log1p.f32 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (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 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (*.f32 (sqrt.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 (neg.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 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.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 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) 1) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3) -1) (pow.f32 (log1p.f32 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) 1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (cbrt.f32 (log1p.f32 u1))) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) -1) (log1p.f32 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1) (+.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1))))) (#(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 (pow.f32 (log1p.f32 u1) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 6)))) (#(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) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log1p.f32 u1))))) (#(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)))))))

simplify97.0ms (0.7%)

Algorithm
egg-herbie
Rules
1606×associate-*r/
1326×associate-*l/
1024×associate-/r/
576×associate-*r*
456×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03224294971888
18663982
237263982
Stop Event
node limit
Counts
132 → 206
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.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 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))) 1))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))))
(+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(+.f32 (log1p.f32 u1) 0)
(+.f32 0 (log1p.f32 u1))
(+.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) -1)
(+.f32 (-.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)
(-.f32 0 (log1p.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1)
(*.f32 (log1p.f32 u1) 1)
(*.f32 (log1p.f32 u1) -1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)))
(*.f32 1 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (neg.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (neg.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)))
(*.f32 -1 (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4)) (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1))) (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (log1p.f32 u1))
(*.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 3)) (pow.f32 (log1p.f32 u1) 2))
(*.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (log1p.f32 u1) 1/4))) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (cbrt.f32 (log1p.f32 u1)))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (log1p.f32 u1))
(*.f32 (*.f32 (pow.f32 -1 1/2) (pow.f32 -1 1/2)) (log1p.f32 u1))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))) (*.f32 (cbrt.f32 (log1p.f32 u1)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 3/2))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4) (pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/4))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6) (pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/6))
(/.f32 (log1p.f32 u1) 1)
(/.f32 (log1p.f32 u1) -1)
(/.f32 (pow.f32 (log1p.f32 u1) 2) (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 3) (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) 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) 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) -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) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (log1p.f32 u1)))
(/.f32 (/.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (log1p.f32 u1)))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) (exp.f32 (log1p.f32 (log1p.f32 u1)))) 1) (+.f32 (exp.f32 (log1p.f32 (log1p.f32 u1))) 1))
(pow.f32 (log1p.f32 u1) 1)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 2)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 6)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(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 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1)))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(-.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (*.f32 u1 u1))) (fma.f32 -1 (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1) (/.f32 (sqrt.f32 -1) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2))))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (*.f32 (PI.f32) (neg.f32 u2)) (/.f32 u1 (sqrt.f32 -1))) (neg.f32 (*.f32 (/.f32 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (pow.f32 u1 3)) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (*.f32 u1 u1))) (fma.f32 -1 (*.f32 (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) u2) (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (-.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (neg.f32 (*.f32 (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) u1) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (*.f32 (PI.f32) (neg.f32 u2)) (/.f32 u1 (sqrt.f32 -1))) (neg.f32 (*.f32 (/.f32 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))))) (-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1))))) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (pow.f32 u1 3)) (*.f32 (*.f32 u2 (PI.f32)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 -1 u2) (PI.f32))))
(*.f32 (*.f32 2 (*.f32 (PI.f32) (neg.f32 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 -1 u2) (PI.f32))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (/.f32 u2 (/.f32 u1 (PI.f32))) (*.f32 (*.f32 2 (*.f32 (PI.f32) (neg.f32 u2))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 -1 u2) (PI.f32))) (*.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (PI.f32) (neg.f32 u2))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 u2 (/.f32 u1 (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2))) u1) (/.f32 u2 u1)))))
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(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 4)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 6)
(log1p.f32 u1)
(pow.f32 (cbrt.f32 (log1p.f32 u1)) 3)
(log1p.f32 u1)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 2/3)
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3) (pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)))
(pow.f32 (pow.f32 (log1p.f32 u1) 2) 1/2)
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3) 1/3)
(log1p.f32 u1)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log1p.f32 u1) 2))
(fabs.f32 (log1p.f32 u1))
(log.f32 (+.f32 u1 1))
(log1p.f32 u1)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3))
(log1p.f32 u1)
(expm1.f32 (log1p.f32 (log1p.f32 u1)))
(log1p.f32 u1)
(exp.f32 (log.f32 (log1p.f32 u1)))
(log1p.f32 u1)

localize149.0ms (1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.42%
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
0.84%
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
0.9%
(*.f32 (*.f32 2 (PI.f32)) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Compiler

Compiled 78 to 26 computations (66.7% saved)

series119.0ms (0.8%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
74.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
37.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite115.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01997
139081
2496449
Stop Event
node limit
Counts
3 → 240
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1))
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
Outputs
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((#(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 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(#(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 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simplify189.0ms (1.3%)

Algorithm
egg-herbie
Rules
1132×associate-*r*
1104×associate-/l*
1072×associate-*l*
1064×associate-/r*
488×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06449822
117389208
Stop Event
node limit
Counts
284 → 426
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
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(/.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 (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))
Outputs
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (*.f32 -1 (log.f32 (/.f32 1 u1))) (+.f32 (log.f32 -1) (*.f32 -2 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))) (*.f32 (*.f32 1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1)) (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (*.f32 1/2 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1))))
(+.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (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 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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)))))))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) 2))))))))
(fma.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (log.f32 u1) -2))) (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (log.f32 u1) -2)))) (+.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) u1) (*.f32 (/.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (*.f32 u1 u1)) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (+.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (log.f32 u1) -2))))) 2)))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.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 (*.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)) (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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (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 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))))))))))))
(fma.f32 1/2 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (/.f32 (*.f32 1/2 (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) 2))) (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (pow.f32 u1 3)) (fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))) (*.f32 1/2 (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2)))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (*.f32 u1 u1) (-.f32 1/2 (pow.f32 (*.f32 1/2 (sqrt.f32 (/.f32 1 (-.f32 (-.f32 (neg.f32 (neg.f32 (log.f32 u1))) (log.f32 -1)) (*.f32 (neg.f32 (log.f32 u1)) -2))))) 2)))))))))
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(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))
(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))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.41%
(sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))
0.9%
(*.f32 (PI.f32) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
4.87%
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
Compiler

Compiled 62 to 21 computations (66.1% saved)

series36.0ms (0.2%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
34.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u2
@0
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))

rewrite76.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1058×unswap-sqr
906×swap-sqr
476×distribute-rgt-in
436×distribute-lft-in
342×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01869
135061
2408961
Stop Event
node limit
Counts
3 → 82
Calls
Call 1
Inputs
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2)))))
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 *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))))) (#(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 pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))))) (#(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 log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 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)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))

simplify129.0ms (0.9%)

Algorithm
egg-herbie
Rules
1508×distribute-lft-in
1500×distribute-rgt-in
912×associate-/r*
804×associate-*l*
756×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03095196
18544808
237814796
Stop Event
node limit
Counts
126 → 163
Calls
Call 1
Inputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
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(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
Outputs
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 -1/2 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 u1 (sqrt.f32 -1)))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 -1/2 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 (/.f32 u1 (sqrt.f32 -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 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (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 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 -1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 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 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (pow.f32 u1 3)) (*.f32 (sqrt.f32 -1) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (/.f32 u1 (sqrt.f32 -1))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
(+.f32 (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (/.f32 (*.f32 -1/2 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (/.f32 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (/.f32 (*.f32 u1 u1) (sqrt.f32 -1))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 -1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 -1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 -1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 -1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 -1/2 (/.f32 (*.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 u1 u1)))))
(fma.f32 -1/2 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)) u1))) (*.f32 (*.f32 -1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (*.f32 (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 -1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
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(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(*.f32 u2 (PI.f32))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (log.f32 (*.f32 (PI.f32) u2))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (exp.f32 1) (log.f32 (*.f32 (PI.f32) u2)))
(pow.f32 (E.f32) (log.f32 (*.f32 u2 (PI.f32))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (log.f32 (*.f32 (PI.f32) u2))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 u2 (PI.f32)))) 2)) (cbrt.f32 (log.f32 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) 0)))))
(*.f32 (/.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) 2) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 0)))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 0)))
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1)
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 1 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(*.f32 (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 0))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(/.f32 (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 0))
(pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 1)
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2)
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3)
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(pow.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) 1/3)
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2))
(fabs.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))

localize77.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.87%
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.9%
(*.f32 (PI.f32) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
41.32%
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
Compiler

Compiled 77 to 40 computations (48.1% saved)

series57.0ms (0.4%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
41.0ms
u2
@inf
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
11.0ms
u2
@-inf
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
1.0ms
u2
@0
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))

rewrite157.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
784×associate-*r/
658×associate-*l/
630×distribute-rgt-in
590×distribute-lft-in
384×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02083
140475
2468175
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))))

simplify199.0ms (1.4%)

Algorithm
egg-herbie
Rules
1056×associate-*l*
998×associate-*r*
810×associate-/l*
740×fma-def
604×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057615573
1161014675
Stop Event
node limit
Counts
227 → 309
Calls
Call 1
Inputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 1/6 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3)))))))))
(+.f32 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 1/3 (*.f32 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 1/24 (+.f32 (*.f32 -96 (pow.f32 (PI.f32) 4)) (*.f32 64 (pow.f32 (PI.f32) 4)))) (*.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 1/6 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))))))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 1/6 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 1/6 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (+.f32 (*.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u2 2))) (sqrt.f32 (log.f32 (-.f32 1 u1)))) (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 1/3 (*.f32 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 1/24 (+.f32 (*.f32 -96 (pow.f32 (PI.f32) 4)) (*.f32 64 (pow.f32 (PI.f32) 4)))) (*.f32 2 (pow.f32 (PI.f32) 4)))))))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 2 (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 1/6 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3)))))))
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 1/24 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 -96 (pow.f32 (PI.f32) 4)) (*.f32 64 (pow.f32 (PI.f32) 4))))) (*.f32 1/6 (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))))))))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
(log.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 1))
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(/.f32 (/.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 (/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (sqrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (cbrt.f32 (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)) (sqrt.f32 (log1p.f32 u1))) 1) (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)) (sqrt.f32 (log1p.f32 u1))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (sqrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(/.f32 (/.f32 (*.f32 (+.f32 -1 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3)) (sqrt.f32 (log1p.f32 u1))) (*.f32 (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (cbrt.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 3)
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1))) 3))
(cbrt.f32 (*.f32 (pow.f32 (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 u1)))))
(+.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 0)
(+.f32 0 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(+.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(+.f32 (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 0 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(+.f32 (+.f32 0 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(+.f32 (*.f32 1 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (*.f32 1 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
(+.f32 (*.f32 1 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))) (*.f32 1 (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))
(+.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1) (*.f32 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1))
(+.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) 1) (*.f32 (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)
(-.f32 (+.f32 0 (exp.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) 1)
(*.f32 2 (log.f32 (sqrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))
(*.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(*.f32 1 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(log.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
Outputs
(*.f32 2 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 2 (PI.f32)) u2)
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)))
(fma.f32 2 (*.f32 u2 (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) 2) 0) (*.f32 u2 u2)))
(fma.f32 2 (*.f32 u2 (PI.f32)) 0)
(+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 1/6 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3)))))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (*.f32 (pow.f32 (PI.f32) 2) 0) (*.f32 u2 u2) (*.f32 (pow.f32 u2 3) (fma.f32 -4 (pow.f32 (PI.f32) 3) (fma.f32 4/3 (pow.f32 (PI.f32) 3) (*.f32 1/6 (*.f32 (pow.f32 (PI.f32) 3) 8)))))))
(fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (pow.f32 u2 3) (+.f32 (*.f32 (pow.f32 (PI.f32) 3) 4/3) (*.f32 (pow.f32 (PI.f32) 3) -8/3)) 0))
(+.f32 (*.f32 (pow.f32 u2 4) (+.f32 (*.f32 1/3 (*.f32 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))) (PI.f32))) (+.f32 (*.f32 2/3 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 4)) (+.f32 (*.f32 1/24 (+.f32 (*.f32 -96 (pow.f32 (PI.f32) 4)) (*.f32 64 (pow.f32 (PI.f32) 4)))) (*.f32 2 (pow.f32 (PI.f32) 4))))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 (+.f32 (*.f32 2 (pow.f32 (PI.f32) 2)) (*.f32 -2 (pow.f32 (PI.f32) 2))) (pow.f32 u2 2)) (*.f32 (pow.f32 u2 3) (+.f32 (*.f32 -4 (pow.f32 (PI.f32) 3)) (+.f32 (*.f32 4/3 (pow.f32 (PI.f32) 3)) (*.f32 1/6 (+.f32 (*.f32 -8 (pow.f32 (PI.f32) 3)) (*.f32 16 (pow.f32 (PI.f32) 3))))))))))
(fma.f32 (pow.f32 u2 4) (fma.f32 1/3 (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) 3) 8)) (fma.f32 2/3 (pow.f32 (PI.f32) 4) (fma.f32 -4 (pow.f32 (PI.f32) 4) (fma.f32 1/24 (*.f32 (pow.f32 (PI.f32) 4) -32) (*.f32 2 (pow.f32 (PI.f32) 4)))))) (fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (*.f32 (pow.f32 (PI.f32) 2) 0) (*.f32 u2 u2) (*.f32 (pow.f32 u2 3) (fma.f32 -4 (pow.f32 (PI.f32) 3) (fma.f32 4/3 (pow.f32 (PI.f32) 3) (*.f32 1/6 (*.f32 (pow.f32 (PI.f32) 3) 8))))))))
(fma.f32 (pow.f32 u2 4) (fma.f32 1/3 (*.f32 (pow.f32 (PI.f32) 4) 8) (+.f32 (fma.f32 2 (pow.f32 (PI.f32) 4) (*.f32 (pow.f32 (PI.f32) 4) -4/3)) (*.f32 (pow.f32 (PI.f32) 4) -10/3))) (fma.f32 2 (*.f32 u2 (PI.f32)) (fma.f32 (pow.f32 u2 3) (+.f32 (*.f32 (pow.f32 (PI.f32) 3) 4/3) (*.f32 (pow.f32 (PI.f32) 3) -8/3)) 0)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (+.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 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1))) (*.f32 -1/2 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
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(log.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(log1p.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(expm1.f32 (log1p.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(log1p.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(log1p.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(log1p.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))

eval1.0s (7.1%)

Compiler

Compiled 42110 to 26635 computations (36.7% saved)

prune604.0ms (4.2%)

Pruning

58 alts after pruning (55 fresh and 3 done)

PrunedKeptTotal
New1408441452
Fresh261137
Picked101
Done336
Total1438581496
Error
0.17%
Counts
1496 → 58
Alt Table
Click to see full alt table
StatusErrorProgram
8.66%
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
25.63%
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
32.72%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
24.44%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
24.49%
(/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
4.58%
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) (*.f32 (*.f32 -8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
32.52%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 2 (*.f32 u2 (PI.f32))))
32.77%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (*.f32 2 (*.f32 u2 (PI.f32))))
24.83%
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
24.57%
(*.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
15.93%
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
2.03%
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.71%
(*.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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.14%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
10.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
22.75%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
7.69%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.31%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
30.91%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
22.44%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
46.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -1))
3.38%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
2.63%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
41.69%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.75%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
41.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)) 1))
46.45%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) 1))
41.58%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) 1))
37.86%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
19.48%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
16.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
16.68%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
15.88%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
18.92%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
15.87%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
6.06%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
2.25%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2)))))
2.79%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2)))))
2.12%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
1.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.58%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
1.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
41.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
1.61%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
5.76%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
43.29%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
42.54%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
42.81%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
32.48%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
24.43%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
1.61%
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
95.73%
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
33.19%
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
32.49%
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
32.48%
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
25.23%
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
32.41%
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
27.16%
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
Compiler

Compiled 2157 to 1797 computations (16.7% saved)

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.82%
(log1p.f32 (*.f32 (PI.f32) u2))
0.83%
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
0.9%
(*.f32 (PI.f32) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
Compiler

Compiled 62 to 21 computations (66.1% saved)

series4.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
0.0ms
u2
@inf
(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms
u2
@0
(log1p.f32 (*.f32 (PI.f32) u2))
0.0ms
u2
@-inf
(log1p.f32 (*.f32 (PI.f32) u2))

rewrite127.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1040×unswap-sqr
906×swap-sqr
396×distribute-rgt-in
350×distribute-lft-in
344×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01863
135855
2411655
Stop Event
node limit
Counts
3 → 85
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 (PI.f32) u2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 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)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (PI.f32) u2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (PI.f32) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1)) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1) 1) (+.f32 2 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1) 1) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))))) (#(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 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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (*.f32 (PI.f32) u2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))))))

simplify87.0ms (0.6%)

Algorithm
egg-herbie
Rules
1650×associate-/r*
644×associate-*r*
642×+-commutative
628×associate-/l*
584×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03515449
19954955
239674787
Stop Event
node limit
Counts
129 → 197
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32)))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 1/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (+.f32 (*.f32 -1/2 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2))) (+.f32 (*.f32 u2 (PI.f32)) (*.f32 -1/4 (*.f32 (pow.f32 u2 4) (pow.f32 (PI.f32) 4))))))
(+.f32 (log.f32 (PI.f32)) (*.f32 -1 (log.f32 (/.f32 1 u2))))
(+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 1 u2))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (log.f32 (PI.f32)) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u2))) (*.f32 1/3 (/.f32 1 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(+.f32 (log.f32 (*.f32 -1 (PI.f32))) (*.f32 -1 (log.f32 (/.f32 -1 u2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (/.f32 1 (*.f32 u2 (PI.f32))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u2))) (+.f32 (log.f32 (*.f32 -1 (PI.f32))) (+.f32 (/.f32 1 (*.f32 u2 (PI.f32))) (*.f32 1/3 (/.f32 1 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))) (*.f32 1/2 (/.f32 1 (*.f32 (pow.f32 u2 2) (pow.f32 (PI.f32) 2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))) 1)
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) 2) (+.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(+.f32 (*.f32 (PI.f32) u2) 0)
(+.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))
(+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))
(+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)
(+.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(-.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2)
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 1 (*.f32 (PI.f32) u2))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1) (+.f32 2 (*.f32 (PI.f32) u2)))
(/.f32 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (*.f32 1 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1)) (+.f32 2 (*.f32 (PI.f32) u2)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1)) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (*.f32 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1) 1) (+.f32 2 (*.f32 (PI.f32) u2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1) 1) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))
(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 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(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 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 1)
(*.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)
(*.f32 1 (log1p.f32 (*.f32 (PI.f32) u2)))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 2))
(log.f32 (+.f32 (*.f32 (PI.f32) u2) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))
Outputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 -1))
(*.f32 (sin.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 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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 u1 u1))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 -1)) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 -1)))) (/.f32 (*.f32 -1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (/.f32 u1 (sqrt.f32 -1)) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2))))))))
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(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 u1)))
(+.f32 (*.f32 (PI.f32) u2) 0)
(*.f32 u2 (PI.f32))
(+.f32 1 (+.f32 (*.f32 (PI.f32) u2) -1))
(*.f32 u2 (PI.f32))
(+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1))
(*.f32 u2 (PI.f32))
(+.f32 (+.f32 (*.f32 (PI.f32) u2) 1) -1)
(*.f32 u2 (PI.f32))
(+.f32 -1 (+.f32 (*.f32 (PI.f32) u2) 1))
(*.f32 u2 (PI.f32))
(-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1)
(*.f32 u2 (PI.f32))
(-.f32 (+.f32 2 (*.f32 (PI.f32) u2)) 2)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(*.f32 1 (*.f32 (PI.f32) u2))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.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 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2) (cbrt.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (cbrt.f32 (*.f32 (PI.f32) u2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) (sqrt.f32 (cbrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 2)) (cbrt.f32 (sqrt.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)))
(/.f32 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1) (+.f32 2 (*.f32 (PI.f32) u2)))
(/.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1) -1) (+.f32 2 (*.f32 u2 (PI.f32))))
(/.f32 (fma.f32 u2 (PI.f32) 2) (/.f32 (fma.f32 u2 (PI.f32) 2) (*.f32 u2 (PI.f32))))
(*.f32 (/.f32 (fma.f32 u2 (PI.f32) 2) (fma.f32 u2 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1) (fma.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1) (+.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u2 (PI.f32) 1) 3)) (fma.f32 (fma.f32 u2 (PI.f32) 1) (fma.f32 u2 (PI.f32) 1) (fma.f32 u2 (PI.f32) 2)))
(/.f32 (*.f32 1 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1)) (+.f32 2 (*.f32 (PI.f32) u2)))
(/.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1) -1) (+.f32 2 (*.f32 u2 (PI.f32))))
(/.f32 (fma.f32 u2 (PI.f32) 2) (/.f32 (fma.f32 u2 (PI.f32) 2) (*.f32 u2 (PI.f32))))
(*.f32 (/.f32 (fma.f32 u2 (PI.f32) 2) (fma.f32 u2 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 1 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1)) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1) (fma.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1) (+.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u2 (PI.f32) 1) 3)) (fma.f32 (fma.f32 u2 (PI.f32) 1) (fma.f32 u2 (PI.f32) 1) (fma.f32 u2 (PI.f32) 2)))
(/.f32 (*.f32 (-.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) 1) 1) (+.f32 2 (*.f32 (PI.f32) u2)))
(/.f32 (fma.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1) -1) (+.f32 2 (*.f32 u2 (PI.f32))))
(/.f32 (fma.f32 u2 (PI.f32) 2) (/.f32 (fma.f32 u2 (PI.f32) 2) (*.f32 u2 (PI.f32))))
(*.f32 (/.f32 (fma.f32 u2 (PI.f32) 2) (fma.f32 u2 (PI.f32) 2)) (*.f32 u2 (PI.f32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 3) 1) 1) (+.f32 (*.f32 (+.f32 (*.f32 (PI.f32) u2) 1) (+.f32 (*.f32 (PI.f32) u2) 1)) (+.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (PI.f32) u2 1) 3) -1) (fma.f32 (fma.f32 (PI.f32) u2 1) (fma.f32 (PI.f32) u2 1) (+.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (+.f32 -1 (pow.f32 (fma.f32 u2 (PI.f32) 1) 3)) (fma.f32 (fma.f32 u2 (PI.f32) 1) (fma.f32 u2 (PI.f32) 1) (fma.f32 u2 (PI.f32) 2)))
(pow.f32 (*.f32 (PI.f32) u2) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 2))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) u2))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) u2)) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) u2)))
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) 1)
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 1 (log1p.f32 (*.f32 (PI.f32) u2)))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 2)))
(*.f32 (*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))) (*.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 2))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 2)))
(pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 1)
(log1p.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 2)
(log1p.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 3)
(log1p.f32 (*.f32 u2 (PI.f32)))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3) 1/3)
(log1p.f32 (*.f32 u2 (PI.f32)))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 2))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 u2 (PI.f32))) 2))
(fabs.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 (*.f32 (PI.f32) u2) 1))
(log1p.f32 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (PI.f32) u2)) 3))
(log1p.f32 (*.f32 u2 (PI.f32)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))))
(log1p.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (PI.f32) u2))) 1))
(log1p.f32 (*.f32 u2 (PI.f32)))

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.9%
(*.f32 u2 (PI.f32))
1.14%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
Compiler

Compiled 34 to 14 computations (58.8% saved)

series52.0ms (0.4%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
49.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u2
@0
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
1.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))

rewrite73.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1074×sqrt-prod
896×unswap-sqr
792×swap-sqr
438×sqr-pow
424×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01425
128525
2318625
Stop Event
node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))))))

simplify48.0ms (0.3%)

Algorithm
egg-herbie
Rules
1866×associate-*l/
1080×distribute-lft-in
1052×associate-+r+
1016×associate-/l*
1014×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063916
1165888
2625882
32212882
Stop Event
node limit
Counts
30 → 31
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) -1)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1)
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1))))
(pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)))
(fabs.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) -1)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) 1) (+.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32))))) 3) -1) (fma.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32))))) (exp.f32 (log1p.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32))))) 1)))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1))))) 3)) (+.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1))))) (+.f32 1 (exp.f32 (*.f32 2 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))))))))
(/.f32 (expm1.f32 (*.f32 3 (log1p.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))) (+.f32 (exp.f32 (log1p.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))) (+.f32 1 (pow.f32 (exp.f32 2) (log1p.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))))))
(/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))) 3)) (+.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2))))) (+.f32 1 (pow.f32 (exp.f32 2) (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2))))))))
(pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 1)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3) 1/3)
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(fabs.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 2 u2)) (sqrt.f32 u1)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))) 3))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 8 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (*.f32 8 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 8 (*.f32 (pow.f32 u1 3/2) (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.45%
(sqrt.f32 (log1p.f32 u1))
0.89%
(/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
0.9%
(*.f32 (PI.f32) u2)
1.3%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
Compiler

Compiled 47 to 25 computations (46.8% saved)

series10.0ms (0.1%)

Counts
3 → 40
Calls

12 calls:

TimeVariablePointExpression
3.0ms
u1
@-inf
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
2.0ms
u2
@0
(/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.0ms
u1
@inf
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
1.0ms
u1
@0
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
1.0ms
u1
@inf
(sqrt.f32 (log1p.f32 u1))

rewrite86.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1118×associate-*r/
872×associate-/r*
858×associate-*l/
710×associate-/l*
326×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01673
132567
2394267
Stop Event
node limit
Counts
3 → 131
Calls
Call 1
Inputs
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(sqrt.f32 (log1p.f32 u1))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2)) (/.f32 1 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (/.f32 1 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2)) 1) (/.f32 1 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -1) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)) -1) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (-.f32 (*.f32 (PI.f32) u2) (*.f32 (PI.f32) u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 1 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (neg.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))))
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simplify113.0ms (0.8%)

Algorithm
egg-herbie
Rules
1798×distribute-lft-in
872×associate-*r*
680×associate-*l*
542×*-commutative
486×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04538205
112537781
253437779
Stop Event
node limit
Counts
171 → 258
Calls
Call 1
Inputs
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.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 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2)) (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
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(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (pow.f32 (log1p.f32 u1) 1/4) 1) (pow.f32 (log1p.f32 u1) 1/4))
(*.f32 (/.f32 (cbrt.f32 (log1p.f32 u1)) 1) (cbrt.f32 (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 (sqrt.f32 (log1p.f32 u1)) 1)
(/.f32 1 (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 1 (/.f32 -1 (neg.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (pow.f32 (log1p.f32 u1) 1/4) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (pow.f32 (log1p.f32 u1) 1/4) (/.f32 -1 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 1 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (/.f32 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (cbrt.f32 (log1p.f32 u1)) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (cbrt.f32 (log1p.f32 u1)) (/.f32 -1 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 -1 (/.f32 -1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) -1)
(/.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (/.f32 -1 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 1 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (/.f32 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))) (/.f32 -1 (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 -1 (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 -1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1) -1)
(/.f32 (pow.f32 1 1/2) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (/.f32 1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (*.f32 (pow.f32 1 1/2) (cbrt.f32 (log1p.f32 u1))) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) -1)
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)))
(/.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) 1) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(pow.f32 (log1p.f32 u1) 1/2)
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (log1p.f32 u1)))
(log.f32 (exp.f32 (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (log1p.f32 u1)))))
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (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 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log.f32 u1))))
(*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (*.f32 1/2 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) u1)) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 u1 u1)))) (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 (*.f32 1/2 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) u1)) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (/.f32 1 u1)))) (+.f32 (*.f32 1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (-.f32 1/3 (*.f32 -1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (/.f32 1 (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) 2)) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (log.f32 (/.f32 1 u1))))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))) (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 u1 u1)))) (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (neg.f32 (log.f32 u1))) (*.f32 1/2 (+.f32 (/.f32 (*.f32 (*.f32 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) 2)) (*.f32 (neg.f32 (log.f32 u1)) (pow.f32 (sqrt.f32 -1) 2))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1))))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (*.f32 (sqrt.f32 -1) u1)) (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1)))))) (/.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (/.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (/.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (*.f32 u1 u1))) (fma.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (+.f32 (/.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 -1)) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (-.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (neg.f32 (log.f32 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)) (neg.f32 (log.f32 u1)))))))) (*.f32 (sqrt.f32 -1) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))
(*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))
(+.f32 (*.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))) 2))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1)))))) (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u1))) (log.f32 -1))))))
(fma.f32 1/2 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) u1) (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1)))) (/.f32 (*.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))))) 2)) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 u1 u1))) (*.f32 (sqrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u1)) (log.f32 -1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1))))) (+.f32 (/.f32 (*.f32 1/2 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (-.f32 (log.f32 -1) (log.f32 (/.f32 -1 u1)))))) 2)) u1))))))
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(/.f32 1 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(/.f32 1 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (log1p.f32 u1)))) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(*.f32 1 (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (log1p.f32 u1) 1/4) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (log1p.f32 u1)))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (sqrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (pow.f32 (log1p.f32 u1) 1/4) 1) (pow.f32 (log1p.f32 u1) 1/4))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (/.f32 (cbrt.f32 (log1p.f32 u1)) 1) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (log1p.f32 u1)))
(sqrt.f32 (log1p.f32 u1))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(/.f32 1 (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 1 (/.f32 -1 (neg.f32 (sqrt.f32 (log1p.f32 u1)))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 1/4) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 1/4) (/.f32 -1 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (pow.f32 (log1p.f32 u1) 1/4) (*.f32 1 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (/.f32 1 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (/.f32 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 (pow.f32 (log1p.f32 u1) 1/4) (cbrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (cbrt.f32 (log1p.f32 u1)) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cbrt.f32 (log1p.f32 u1)) (/.f32 -1 (neg.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (cbrt.f32 (log1p.f32 u1)) (*.f32 1 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 -1 (/.f32 -1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) -1)
(sqrt.f32 (log1p.f32 u1))
(/.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (/.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (/.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4))))
(*.f32 (/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))) (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)))
(*.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 (sqrt.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4))))
(/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (/.f32 -1 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) -1) (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) -1))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 1 (sqrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (/.f32 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(*.f32 (/.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1))))
(*.f32 (/.f32 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) 1) (*.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))) (/.f32 -1 (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1)))) (/.f32 (/.f32 -1 (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))) (cbrt.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))))
(/.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (/.f32 1 (*.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 u1))) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))))
(/.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 u1)))) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(/.f32 (neg.f32 (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 -1 (pow.f32 (log1p.f32 u1) 1/4)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (neg.f32 (cbrt.f32 (log1p.f32 u1))) (/.f32 -1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) 1) -1)
(sqrt.f32 (log1p.f32 u1))
(/.f32 (pow.f32 1 1/2) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) 1/2) (/.f32 1 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 1/2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2)))
(*.f32 (sqrt.f32 (cbrt.f32 (log1p.f32 u1))) (fabs.f32 (cbrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 1 (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 (log1p.f32 u1) 1/4)) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 1 1/2) (cbrt.f32 (log1p.f32 u1))) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 (log1p.f32 u1)))) -1)
(sqrt.f32 (log1p.f32 u1))
(/.f32 (*.f32 (pow.f32 (log1p.f32 u1) 1/4) 1) (/.f32 1 (pow.f32 (log1p.f32 u1) 1/4)))
(sqrt.f32 (log1p.f32 u1))
(/.f32 (*.f32 (cbrt.f32 (log1p.f32 u1)) 1) (/.f32 1 (cbrt.f32 (sqrt.f32 (log1p.f32 u1)))))
(*.f32 (cbrt.f32 (log1p.f32 u1)) (cbrt.f32 (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (log1p.f32 u1) 1/2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log1p.f32 u1)) 1)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3)
(sqrt.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log1p.f32 u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2))
(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))

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.37%
(sqrt.f32 (*.f32 u2 (PI.f32)))
0.9%
(*.f32 u2 (PI.f32))
1.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
1.53%
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
Compiler

Compiled 56 to 22 computations (60.7% saved)

series14.0ms (0.1%)

Counts
3 → 20
Calls

12 calls:

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

rewrite78.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
996×unswap-sqr
860×swap-sqr
508×sqr-pow
488×pow-sqr
356×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
134451
2386651
Stop Event
node limit
Counts
3 → 89
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u2 (PI.f32)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (PI.f32) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (cbrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (pow.f32 (*.f32 u2 (PI.f32)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 u2)) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (*.f32 u2 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3/2) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/4) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/6))))) (#(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 u2) (PI.f32)))))) (#(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 log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (pow.f32 (*.f32 u2 (PI.f32)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) (pow.f32 (*.f32 u2 (PI.f32)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (sqrt.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 u2))) (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (PI.f32)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))))

simplify137.0ms (1%)

Algorithm
egg-herbie
Rules
1684×distribute-lft-in
1406×associate-/l*
1162×associate-/r*
696×associate-*r*
644×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02904151
17483655
231613655
Stop Event
node limit
Counts
109 → 149
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 -2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 3) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 1 (*.f32 u2 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) (sqrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (pow.f32 (*.f32 u2 (PI.f32)) 1/4))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 u2)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (pow.f32 1 1/2) (pow.f32 1 1/2)) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3/2) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3/2))
(*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/4) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/4))
(*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/6))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)))) 1)
(pow.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 4 (pow.f32 (*.f32 u2 (PI.f32)) 2))))
(log.f32 (pow.f32 (pow.f32 (pow.f32 (exp.f32 u2) (PI.f32)) 2) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32)) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))))
(exp.f32 (log.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))) 1))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) u2) (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) 1)
(*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 1)
(*.f32 1 (sqrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 u2))
(*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) (pow.f32 (*.f32 u2 (PI.f32)) 1/4))
(*.f32 (sqrt.f32 u2) (sqrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) 1/2) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 1/2))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 u2))) (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 u2))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 3/2) (pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 3/2))
(*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 1)
(pow.f32 (*.f32 u2 (PI.f32)) 1/2)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))
(log.f32 (exp.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 1))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1/2))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
Outputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 -1)))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(-.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 -1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (PI.f32)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.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 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (*.f32 u1 u1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 (PI.f32)) u2))))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 2 u2)) (sqrt.f32 -1))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (*.f32 u1 u1) (PI.f32)) (*.f32 u2 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))))) (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (PI.f32))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
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(sqrt.f32 (*.f32 u2 (PI.f32)))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (log.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) 1))
(sqrt.f32 (*.f32 u2 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1/2))
(sqrt.f32 (*.f32 u2 (PI.f32)))
(log1p.f32 (expm1.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (*.f32 u2 (PI.f32)))

localize78.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9%
(*.f32 (PI.f32) u2)
1.16%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
1.57%
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
44.75%
(log.f32 (-.f32 1 u1))
Compiler

Compiled 72 to 48 computations (33.3% saved)

series34.0ms (0.2%)

Counts
2 → 28
Calls

9 calls:

TimeVariablePointExpression
32.0ms
u2
@0
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
1.0ms
u2
@inf
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
0.0ms
u2
@-inf
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))

rewrite76.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
556×distribute-rgt-in
530×associate-*r/
496×distribute-lft-in
432×associate-*l/
368×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01962
138756
2441956
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2)
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.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 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))))))

simplify137.0ms (1%)

Algorithm
egg-herbie
Rules
1140×associate-/l*
1082×times-frac
1018×distribute-lft-in
1010×distribute-rgt-in
740×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02144289
15913847
222223665
Stop Event
node limit
Counts
67 → 108
Calls
Call 1
Inputs
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (sqrt.f32 (log.f32 (-.f32 1 u1))))) (*.f32 -8/315 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (sqrt.f32 (log.f32 (-.f32 1 u1))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (log.f32 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1)
(*.f32 2 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1)
(*.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) u2)) (cos.f32 (*.f32 (PI.f32) u2))) 2)
(*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 1/4))
(*.f32 (*.f32 2 (sin.f32 (*.f32 (PI.f32) u2))) (cos.f32 (*.f32 (PI.f32) u2)))
(*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3) 1/3)
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
Outputs
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))) 2)) (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 -1)) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2))) (*.f32 u1 u1))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (pow.f32 u1 3) (*.f32 (sqrt.f32 -1) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))) (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (fma.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1)) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) u1) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1))))))
(+.f32 (*.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (*.f32 -1/2 (+.f32 (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) u1)) (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 -1/2 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(fma.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (neg.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))
(+.f32 (*.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (pow.f32 (sqrt.f32 -1) 2)) (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 -1/2 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.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))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))))))
(fma.f32 -1/2 (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) u1) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (fma.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (sqrt.f32 (log.f32 (/.f32 -1 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 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 u1 u1))))))
(fma.f32 -1/2 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 u1 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))))) (fma.f32 -1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 u1 u1)) (+.f32 1/2 (pow.f32 (*.f32 1/2 (/.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (sqrt.f32 -1))) 2)))) (*.f32 -1 (*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log.f32 (/.f32 -1 u1)))))))
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(*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (*.f32 2 (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (sin.f32 (*.f32 u2 (PI.f32))) (cos.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
(*.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))))
(/.f32 (*.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 0))
(/.f32 (*.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2)))) 2) 2)
(/.f32 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 (PI.f32) 0))) 1)
(+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 0))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2))
(fabs.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(/.f32 (*.f32 (*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) 2) (+.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sin.f32 (*.f32 (PI.f32) (-.f32 u2 u2))))) 2)
(/.f32 (*.f32 2 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 (PI.f32) 0)))))
(/.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (/.f32 (/.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 0))) 2))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 0)))
(pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 1)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (sqrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 2)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (cbrt.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(pow.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3) 1/3)
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(sqrt.f32 (*.f32 (log1p.f32 (neg.f32 u1)) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 2) (log1p.f32 (neg.f32 u1))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1)))) 3))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (sin.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 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) 3) (pow.f32 (log1p.f32 (neg.f32 u1)) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))) 1))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(log1p.f32 (expm1.f32 (*.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))))
(*.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (log1p.f32 (neg.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 (neg.f32 u1))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))

eval604.0ms (4.2%)

Compiler

Compiled 26766 to 16876 computations (36.9% saved)

prune389.0ms (2.7%)

Pruning

64 alts after pruning (58 fresh and 6 done)

PrunedKeptTotal
New96125986
Fresh173350
Picked011
Done257
Total980641044
Error
0.13%
Counts
1044 → 64
Alt Table
Click to see full alt table
StatusErrorProgram
8.66%
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
31.14%
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
31.15%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
26.95%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (/.f32 1 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3))
24.44%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
32.49%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
25.34%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) -2)))
24.49%
(/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
4.58%
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) (*.f32 (*.f32 -8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
32.52%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 2 (*.f32 u2 (PI.f32))))
30.91%
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
15.93%
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
3.53%
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
2.03%
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.52%
(*.f32 (sqrt.f32 (neg.f32 (/.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)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
1.71%
(*.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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.14%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
12.19%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
10.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
22.75%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
7.69%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.46%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
23.65%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
31.97%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
22.44%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
46.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -1))
3.38%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
2.63%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
41.69%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.75%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
41.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)) 1))
46.45%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) 1))
41.58%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) 1))
37.86%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
19.48%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
16.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
16.68%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
16.13%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))
16.57%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))
16.25%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
15.88%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
18.92%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
15.87%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
6.06%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
44.09%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
41.23%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
1.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
5.76%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
43.68%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) 2))
43.29%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
42.54%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
42.81%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
24.43%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.61%
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
95.73%
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
32.48%
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
30.87%
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
32.4%
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
60.93%
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
30.83%
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
25.23%
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
30.82%
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
30.93%
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
Compiler

Compiled 2340 to 1948 computations (16.8% saved)

localize64.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.42%
(log1p.f32 (*.f32 u1 (neg.f32 u1)))
0.84%
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
0.9%
(*.f32 u2 (*.f32 2 (PI.f32)))
1.16%
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
Compiler

Compiled 67 to 25 computations (62.7% saved)

series2.0ms (0%)

Counts
3 → 44
Calls

12 calls:

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

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
668×distribute-rgt-in
632×associate-*r/
606×distribute-lft-in
530×associate-*l/
378×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01893
136985
2461977
Stop Event
node limit
Counts
3 → 154
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 u2 (*.f32 2 (PI.f32)))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (PI.f32)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (*.f32 2 (PI.f32))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (*.f32 2 (PI.f32)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (PI.f32)) 3) (pow.f32 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))))))
((#(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))) 1))))) (#(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 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 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 (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 (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 1) (fma.f32 (neg.f32 (sqrt.f32 (log1p.f32 (*.f32 u1 u1)))) (sqrt.f32 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simplify154.0ms (1.1%)

Algorithm
egg-herbie
Rules
1088×+-commutative
1070×associate-+l+
884×associate-+r+
672×fma-def
620×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052313310
1146212166
2617912166
Stop Event
node limit
Counts
198 → 317
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))))
(*.f32 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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 (sin.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)))))))
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u1
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(/.f32 (*.f32 1 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))) (neg.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 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2) (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 (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2) (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 (-.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) 1) (-.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) 3)) 1) (-.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (neg.f32 (log1p.f32 (*.f32 u1 u1))) (neg.f32 (log1p.f32 (*.f32 u1 u1))))) (*.f32 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) 1) (neg.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) 1) (neg.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) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 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))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 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))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)) (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))) (pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)) (cbrt.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))))) (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))) (*.f32 (cbrt.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1))))) (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2))) (/.f32 1 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (+.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 2) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) 3)) (/.f32 1 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))) (+.f32 (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 u1) 2)) (+.f32 (*.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) (*.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)))))
(/.f32 (*.f32 (-.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 (*.f32 u1 u1)) 3))) (/.f32 1 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))) (+.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)))
(/.f32 (*.f32 (-.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 3) 3) (pow.f32 (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3) 3)) (/.f32 1 (+.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 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 u1) 3)) (+.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 (*.f32 u1 u1)) 3)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 2) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 2)) 1) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))
(/.f32 (/.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))))) (sqrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (/.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)))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))) (cbrt.f32 (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))
(/.f32 (/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) 1) (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))))))
(/.f32 (/.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))))))) (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 (-.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)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))
(pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1)
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 3)
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2) 1/2)
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3) 1/3)
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2))
(log.f32 (/.f32 1 (+.f32 u1 1)))
(log.f32 (-.f32 (+.f32 1 (/.f32 1 (+.f32 u1 1))) 1))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(exp.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 1))
(log1p.f32 (-.f32 (/.f32 1 (+.f32 u1 1)) 1))
(fma.f32 1 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
Outputs
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))
(*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 2 (*.f32 u2 (PI.f32))))
(+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2))))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))))
(+.f32 (*.f32 4/15 (*.f32 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -4/3 (*.f32 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (+.f32 (*.f32 -8/315 (*.f32 (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))) (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (-.f32 (log.f32 (+.f32 1 u1)) (log.f32 (+.f32 1 (*.f32 -1 (pow.f32 u1 2)))))))))))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (fma.f32 -8/315 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 7) (pow.f32 (PI.f32) 7))) (*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 4/15 (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 u2) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))
(*.f32 (sin.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)))))))
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u1
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(/.f32 (-.f32 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.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))))))) (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 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.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 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(/.f32 (/.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)))))) (cbrt.f32 (+.f32 (pow.f32 (log1p.f32 u1) 2) (*.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))))))) (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 (pow.f32 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (+.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 (log1p.f32 u1) 3) (pow.f32 (log1p.f32 (*.f32 u1 u1)) 3)) (fma.f32 (log1p.f32 (*.f32 u1 u1)) (+.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1))) (pow.f32 (log1p.f32 u1) 2)))
(pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 1)
(neg.f32 (log1p.f32 u1))
(pow.f32 (sqrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 2)
(neg.f32 (log1p.f32 u1))
(pow.f32 (cbrt.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 3)
(neg.f32 (log1p.f32 u1))
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2) 1/2)
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) 2))
(fabs.f32 (neg.f32 (log1p.f32 u1)))
(pow.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3) 1/3)
(neg.f32 (log1p.f32 u1))
(sqrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 2))
(sqrt.f32 (pow.f32 (neg.f32 (log1p.f32 u1)) 2))
(fabs.f32 (neg.f32 (log1p.f32 u1)))
(log.f32 (/.f32 1 (+.f32 u1 1)))
(neg.f32 (log1p.f32 u1))
(log.f32 (-.f32 (+.f32 1 (/.f32 1 (+.f32 u1 1))) 1))
(log.f32 (+.f32 1 (+.f32 (/.f32 1 (+.f32 1 u1)) -1)))
(log.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) 0))
(cbrt.f32 (pow.f32 (log.f32 (/.f32 1 (+.f32 u1 1))) 3))
(neg.f32 (log1p.f32 u1))
(expm1.f32 (log1p.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))))
(neg.f32 (log1p.f32 u1))
(exp.f32 (*.f32 (log.f32 (log.f32 (/.f32 1 (+.f32 u1 1)))) 1))
(neg.f32 (log1p.f32 u1))
(log1p.f32 (-.f32 (/.f32 1 (+.f32 u1 1)) 1))
(log.f32 (+.f32 1 (+.f32 (/.f32 1 (+.f32 1 u1)) -1)))
(log.f32 (+.f32 (/.f32 1 (+.f32 1 u1)) 0))
(fma.f32 1 (log1p.f32 u1) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 u1)) 2) (cbrt.f32 (log1p.f32 u1)) (neg.f32 (log1p.f32 (*.f32 u1 u1))))
(-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 u1)))

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.72%
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
1.15%
(*.f32 (PI.f32) (sqrt.f32 u1))
Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite60.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1846×add-sqr-sqrt
1832×*-un-lft-identity
1688×add-cube-cbrt
1660×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
119532
2233132
Stop Event
node limit
Counts
2 → 26
Calls
Call 1
Inputs
(*.f32 (PI.f32) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 (pow.f32 (PI.f32) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) (*.f32 (PI.f32) (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))))))

simplify66.0ms (0.5%)

Algorithm
egg-herbie
Rules
1004×associate-+l+
938×associate-+r+
906×fma-def
642×associate-+r-
634×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068644
1152644
2577644
32539644
47917644
Stop Event
node limit
Counts
38 → 29
Calls
Call 1
Inputs
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1)
(pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3) 1/3)
(sqrt.f32 (*.f32 u1 (pow.f32 (PI.f32) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))) 1)
(pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 1)
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 2)
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 3)
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 (PI.f32) (sqrt.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 3))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))
Outputs
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))) 1)
(*.f32 (PI.f32) (sqrt.f32 u1))
(pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 1)
(*.f32 (PI.f32) (sqrt.f32 u1))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)
(*.f32 (PI.f32) (sqrt.f32 u1))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 3)
(*.f32 (PI.f32) (sqrt.f32 u1))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3) 1/3)
(*.f32 (PI.f32) (sqrt.f32 u1))
(sqrt.f32 (*.f32 u1 (pow.f32 (PI.f32) 2)))
(*.f32 (PI.f32) (sqrt.f32 u1))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (PI.f32)))
(*.f32 (PI.f32) (sqrt.f32 u1))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(*.f32 (PI.f32) (sqrt.f32 u1))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 u1)) 3))
(*.f32 (PI.f32) (sqrt.f32 u1))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (sqrt.f32 u1))
(exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (sqrt.f32 u1))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 1))
(*.f32 (PI.f32) (sqrt.f32 u1))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (sqrt.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))) 1)
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 1)
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(pow.f32 (sqrt.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 2)
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(pow.f32 (cbrt.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 3)
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 3) 1/3)
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(sqrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 2))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(cbrt.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)) 3))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(expm1.f32 (log1p.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))) 1))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))
(log1p.f32 (expm1.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2))))
(*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))
(*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5%
(cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))
0.9%
(*.f32 u2 (PI.f32))
1.14%
(*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))
2.32%
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
Compiler

Compiled 46 to 23 computations (50% saved)

series46.0ms (0.3%)

Counts
3 → 36
Calls

18 calls:

TimeVariablePointExpression
16.0ms
u1
@0
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
15.0ms
u2
@-inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
7.0ms
u1
@inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
3.0ms
u1
@-inf
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
2.0ms
u2
@0
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)

rewrite87.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1076×unswap-sqr
880×swap-sqr
512×sqr-pow
474×pow-sqr
336×rem-sqrt-square
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01579
130579
2333679
Stop Event
node limit
Counts
3 → 122
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))
(cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32)))))
Outputs
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(PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (*.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6) (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2))) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))) 2) 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simplify184.0ms (1.3%)

Algorithm
egg-herbie
Rules
1138×distribute-rgt-in
1122×distribute-lft-in
844×associate-*r*
750×associate-*l*
588×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02786926
17616190
228646070
Stop Event
node limit
Counts
158 → 167
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
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(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))) 3/2) (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))) 3/2))
(*.f32 (*.f32 (pow.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2))) 1/6) (pow.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2))) 1/6)) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (*.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/6) (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/6)) (*.f32 (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/6) (pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/6)))
(*.f32 (*.f32 (pow.f32 (*.f32 (sqrt.f32 u1) 2) 1/6) (pow.f32 (*.f32 (sqrt.f32 u1) 2) 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 u1)))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 u1)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 u1)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (cbrt.f32 (pow.f32 u1 1/4))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (cbrt.f32 (pow.f32 u1 1/4))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (cbrt.f32 (pow.f32 u1 1/4))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2)))) (cbrt.f32 (pow.f32 u1 1/4))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 u1 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (*.f32 (cbrt.f32 (pow.f32 u1 1/4)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (*.f32 (sqrt.f32 (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 u1 1/4)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))) (*.f32 (cbrt.f32 (pow.f32 u1 1/4)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (*.f32 (PI.f32) 2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6)) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6)) (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (fabs.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))) (*.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (fabs.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6)) (fabs.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))) (*.f32 (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6)) (fabs.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))))
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))) (*.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))) (sqrt.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))))
(*.f32 (*.f32 (fabs.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6))) (*.f32 (fabs.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6))))
(/.f32 (-.f32 (*.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))) 1) (+.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) 1))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) 1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1)
(pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 2/3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6) 2)
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))) 3)
(sqrt.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2))))
(fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/3))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
Outputs
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 1 1/6) (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 1 (sqrt.f32 u1)))))
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 1 (sqrt.f32 u1)))))
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 1 (sqrt.f32 u1)))))
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 1 1/6) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 (*.f32 u2 (PI.f32)) (*.f32 1 (sqrt.f32 u1)))))
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 1/3) (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6))))
(*.f32 (*.f32 (cbrt.f32 2) (pow.f32 u1 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (pow.f32 u1 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (pow.f32 (*.f32 -1 u1) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (*.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1))))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1))) (*.f32 (cbrt.f32 2) (pow.f32 (neg.f32 u1) 1/6)))
(*.f32 (pow.f32 (*.f32 -1 u1) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (*.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1))))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1))) (*.f32 (cbrt.f32 2) (pow.f32 (neg.f32 u1) 1/6)))
(*.f32 (pow.f32 (*.f32 -1 u1) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (*.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 -1))))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1))) (*.f32 (cbrt.f32 2) (pow.f32 (neg.f32 u1) 1/6)))
(*.f32 (pow.f32 (*.f32 -1 u1) 1/6) (*.f32 (pow.f32 (*.f32 (sqrt.f32 -1) (*.f32 1 (*.f32 u2 (PI.f32)))) 1/3) (cbrt.f32 2)))
(*.f32 (pow.f32 (neg.f32 u1) 1/6) (*.f32 (cbrt.f32 2) (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 -1)))))
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(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(/.f32 (-.f32 (pow.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) 3) 1) (+.f32 (*.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))) (+.f32 1 (*.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))) 1))))
(/.f32 (+.f32 (pow.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))))) 3) -1) (+.f32 (exp.f32 (+.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))) (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))))) (+.f32 1 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))) 3)) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))) (exp.f32 (*.f32 2 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))))))))
(/.f32 (+.f32 -1 (pow.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))) 3)) (+.f32 1 (+.f32 (exp.f32 (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))) (pow.f32 (exp.f32 2) (log1p.f32 (cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))))))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1)
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/3)
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 2/3)
(*.f32 (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))) 1/6) (*.f32 (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))) 1/6) (*.f32 (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))) 1/6) (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1)))) 1/6))))
(*.f32 (cbrt.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))) (cbrt.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))))
(pow.f32 (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))) 1/6) 4)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))) 1/6) 2)
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))) 3)
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(sqrt.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2))))
(sqrt.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2))))
(sqrt.f32 (cbrt.f32 (*.f32 u1 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 2))))
(fabs.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(log.f32 (exp.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))))))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(expm1.f32 (log1p.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(exp.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/3))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))
(log1p.f32 (expm1.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2))))))
(cbrt.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 u1))))
(cbrt.f32 (*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1)))))

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.54%
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
0.9%
(*.f32 u2 (PI.f32))
1.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
2.33%
(pow.f32 (*.f32 u2 (PI.f32)) 3)
Compiler

Compiled 58 to 27 computations (53.4% saved)

series3.0ms (0%)

Counts
3 → 44
Calls

12 calls:

TimeVariablePointExpression
1.0ms
u2
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
0.0ms
u1
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
0.0ms
u1
@0
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
0.0ms
u1
@-inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
0.0ms
u2
@inf
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))

rewrite79.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1234×unswap-sqr
918×swap-sqr
556×sqr-pow
364×distribute-rgt-in
346×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01861
137053
2421253
Stop Event
node limit
Counts
3 → 119
Calls
Call 1
Inputs
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
Outputs
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simplify89.0ms (0.6%)

Algorithm
egg-herbie
Rules
1462×associate-*r*
1446×associate-*l*
1328×associate-/l*
1046×associate-/r*
680×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03675221
110744447
251304447
Stop Event
node limit
Counts
163 → 175
Calls
Call 1
Inputs
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
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(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 (PI.f32)))) 1/3))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
Outputs
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))
(*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2)))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 u2) (PI.f32))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2))) (*.f32 (/.f32 u2 (/.f32 u1 (*.f32 (PI.f32) (sqrt.f32 -1)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (*.f32 u1 u1))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))) (neg.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 u2) (PI.f32)))))))
(+.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (/.f32 (*.f32 u2 (PI.f32)) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))))) (neg.f32 (/.f32 u2 (/.f32 u1 (*.f32 (PI.f32) (sqrt.f32 -1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (*.f32 (*.f32 u2 (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))) (PI.f32))))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) u2) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)))) (*.f32 u1 u1))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 (*.f32 2 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32)))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2))) (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 u1 u2) (PI.f32))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (PI.f32) (*.f32 u2 (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (neg.f32 (*.f32 (/.f32 (*.f32 (*.f32 u2 (PI.f32)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1) (/.f32 (sqrt.f32 -1) u1))))))
(+.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (/.f32 (*.f32 u2 (PI.f32)) (/.f32 (/.f32 (*.f32 u1 u1) (sqrt.f32 -1)) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))))) (neg.f32 (/.f32 u2 (/.f32 u1 (*.f32 (PI.f32) (sqrt.f32 -1))))))) (-.f32 (*.f32 (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (/.f32 (*.f32 (*.f32 (sqrt.f32 -1) (PI.f32)) u2) (/.f32 (pow.f32 u1 3) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 2 (sqrt.f32 (log.f32 (/.f32 -1 u1)))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2)))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (*.f32 (/.f32 u2 u1) (PI.f32))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (*.f32 -1 (+.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 (*.f32 u1 u1) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (*.f32 1/2 (/.f32 1 (sqrt.f32 -1))) (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) 2)))))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (PI.f32) (neg.f32 u2))) (*.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (+.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (/.f32 u2 (*.f32 u1 u1)) (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (neg.f32 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (+.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (/.f32 (PI.f32) (/.f32 u1 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1/2 (sqrt.f32 -1))) 2)))) (/.f32 u2 u1)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2)))))))
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(*.f32 (*.f32 (sqrt.f32 (pow.f32 u2 3)) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (sqrt.f32 (pow.f32 u2 3)) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (*.f32 u2 (sqrt.f32 u2)) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (*.f32 u2 (sqrt.f32 u2)) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 u2 3/2) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (pow.f32 u2 3/2) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (sqrt.f32 u2) 3) (pow.f32 (sqrt.f32 (PI.f32)) 3)) (*.f32 (pow.f32 (sqrt.f32 u2) 3) (pow.f32 (sqrt.f32 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (sqrt.f32 (pow.f32 u2 3))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (pow.f32 u2 3))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (pow.f32 (PI.f32) 3/2) (sqrt.f32 (pow.f32 u2 3))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (pow.f32 u2 3))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (sqrt.f32 (pow.f32 u2 3))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (*.f32 u2 (sqrt.f32 u2))) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (*.f32 u2 (sqrt.f32 u2))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 u2))) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (*.f32 u2 (sqrt.f32 u2))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (PI.f32) 3/2) (*.f32 u2 (sqrt.f32 u2))) (*.f32 (pow.f32 (PI.f32) 3/2) (*.f32 u2 (sqrt.f32 u2))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (*.f32 u2 (sqrt.f32 u2))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (*.f32 u2 (sqrt.f32 u2))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3/2)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 u2 3/2)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 u2 3/2)) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 u2 3/2)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 u2 3/2)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 u2 3/2)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (sqrt.f32 (pow.f32 (PI.f32) 3)) (pow.f32 (sqrt.f32 u2) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 (sqrt.f32 u2) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (pow.f32 (PI.f32) 3/2) (pow.f32 (sqrt.f32 u2) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 (sqrt.f32 u2) 3)) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) 3) (pow.f32 (sqrt.f32 u2) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 3/4) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 3/4))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 3/2)
(*.f32 (pow.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 3) 1/6) (pow.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 3) 1/6))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 6))
(log.f32 (exp.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(cbrt.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 3))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(expm1.f32 (log1p.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(exp.f32 (*.f32 3 (log.f32 (*.f32 u2 (PI.f32)))))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 (PI.f32)))) 1))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(log1p.f32 (expm1.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3)))
(pow.f32 (*.f32 u2 (PI.f32)) 3)
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2)))) 1)
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2)) 1)
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2))) 2)
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2))) 3)
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(pow.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2)) 3) 1/3)
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 4 (log1p.f32 u1))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 u2 (PI.f32)) (log.f32 (exp.f32 2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2)))))
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2)) 3))
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 8)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 8)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2))) 1))
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 (log1p.f32 u1)) 2))))
(*.f32 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log1p.f32 u1))) 2)
(*.f32 u2 (*.f32 (*.f32 (PI.f32) 2) (sqrt.f32 (log1p.f32 u1))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 (PI.f32) u2)
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 u2 (PI.f32))
(*.f32 1 (*.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 u2) (*.f32 (sqrt.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) (*.f32 (cbrt.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 u2 (PI.f32))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6)))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 u2 (pow.f32 (cbrt.f32 (PI.f32)) 2)) (cbrt.f32 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 u2 (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3/2) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3/2))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6)) (cbrt.f32 (*.f32 u2 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 1/6)))
(*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(*.f32 (*.f32 (pow.f32 1 1/6) (pow.f32 1 1/6)) (*.f32 u2 (PI.f32)))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6)) (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6)))
(*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (*.f32 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6) (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2) 1/6))))
(*.f32 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2)) (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3/2)))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (*.f32 u2 (PI.f32)))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 u2 (PI.f32))
(*.f32 (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2)) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))) (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 2) (*.f32 (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32)))) (cbrt.f32 (sqrt.f32 (*.f32 u2 (PI.f32))))))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(*.f32 u2 (PI.f32))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 u2) (PI.f32)))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 u2 (PI.f32)))) 1/3))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))

localize98.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.12%
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
1.15%
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
1.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))
1.7%
(pow.f32 (cbrt.f32 u2) 2)
Compiler

Compiled 70 to 32 computations (54.3% saved)

series11.0ms (0.1%)

Counts
4 → 32
Calls

15 calls:

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

rewrite106.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1256×unswap-sqr
1046×swap-sqr
404×distribute-rgt-in
358×add-sqr-sqrt
346×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01876
136368
2440368
Stop Event
node limit
Counts
4 → 72
Calls
Call 1
Inputs
(pow.f32 (cbrt.f32 u2) 2)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))
(*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 u2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u2) (cbrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 u2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (cbrt.f32 u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u2 1/6) (*.f32 (pow.f32 u2 1/6) (cbrt.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u2) (pow.f32 u2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (*.f32 (cbrt.f32 (cbrt.f32 u2)) (cbrt.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 u2) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (cbrt.f32 (cbrt.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 1 1/3) (pow.f32 1 1/3)) (pow.f32 (cbrt.f32 u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (sqrt.f32 u2) 1/3) (pow.f32 u2 1/6)) (*.f32 (pow.f32 (sqrt.f32 u2) 1/3) (pow.f32 u2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 u2 1/6) (pow.f32 (sqrt.f32 u2) 1/3)) (*.f32 (pow.f32 u2 1/6) (pow.f32 (sqrt.f32 u2) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (sqrt.f32 u2)) (sqrt.f32 (pow.f32 u2 1/6))) (*.f32 (sqrt.f32 (sqrt.f32 u2)) (sqrt.f32 (pow.f32 u2 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (cbrt.f32 u2)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))) (*.f32 (cbrt.f32 (cbrt.f32 u2)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2)))) (cbrt.f32 (cbrt.f32 u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2)))) (cbrt.f32 (cbrt.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u2 (cbrt.f32 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cbrt.f32 u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cbrt.f32 u2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 u2 u2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 u2) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 u2) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cbrt.f32 u2) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))))))
((#(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 u2 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32))))))) (#(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 -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 u2) (sqrt.f32 (PI.f32))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (cbrt.f32 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) 2/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))))))))

simplify70.0ms (0.5%)

Algorithm
egg-herbie
Rules
1228×unswap-sqr
926×distribute-rgt-in
926×distribute-lft-in
918×associate-/l*
670×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02624018
16703556
226353468
Stop Event
node limit
Counts
104 → 139
Calls
Call 1
Inputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2))))))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)))))) (PI.f32))) (pow.f32 u1 3)))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (log.f32 (-.f32 1 u1)))))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (cbrt.f32 u2) 2))) 1)
(*.f32 (cbrt.f32 u2) (cbrt.f32 u2))
(*.f32 (pow.f32 (cbrt.f32 u2) 2) 1)
(*.f32 1 (pow.f32 (cbrt.f32 u2) 2))
(*.f32 (pow.f32 u2 1/6) (*.f32 (pow.f32 u2 1/6) (cbrt.f32 u2)))
(*.f32 (sqrt.f32 u2) (pow.f32 u2 1/6))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))
(*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (*.f32 (cbrt.f32 (cbrt.f32 u2)) (cbrt.f32 u2)))
(*.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)))
(*.f32 (*.f32 (cbrt.f32 u2) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (cbrt.f32 (cbrt.f32 u2)))
(*.f32 (*.f32 (pow.f32 1 1/3) (pow.f32 1 1/3)) (pow.f32 (cbrt.f32 u2) 2))
(*.f32 (*.f32 (pow.f32 (sqrt.f32 u2) 1/3) (pow.f32 u2 1/6)) (*.f32 (pow.f32 (sqrt.f32 u2) 1/3) (pow.f32 u2 1/6)))
(*.f32 (*.f32 (pow.f32 u2 1/6) (pow.f32 (sqrt.f32 u2) 1/3)) (*.f32 (pow.f32 u2 1/6) (pow.f32 (sqrt.f32 u2) 1/3)))
(*.f32 (*.f32 (sqrt.f32 (sqrt.f32 u2)) (sqrt.f32 (pow.f32 u2 1/6))) (*.f32 (sqrt.f32 (sqrt.f32 u2)) (sqrt.f32 (pow.f32 u2 1/6))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))))
(*.f32 (*.f32 (cbrt.f32 (cbrt.f32 u2)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))) (*.f32 (cbrt.f32 (cbrt.f32 u2)) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))) (*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2))) (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2))))))
(*.f32 (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2)))) (cbrt.f32 (cbrt.f32 u2))) (*.f32 (sqrt.f32 (cbrt.f32 (*.f32 u2 (cbrt.f32 u2)))) (cbrt.f32 (cbrt.f32 u2))))
(*.f32 (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)))) (*.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)) (sqrt.f32 (cbrt.f32 (pow.f32 (cbrt.f32 u2) 2)))))
(sqrt.f32 (*.f32 u2 (cbrt.f32 u2)))
(log.f32 (exp.f32 (pow.f32 (cbrt.f32 u2) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cbrt.f32 u2) 2))))
(cbrt.f32 (*.f32 u2 u2))
(expm1.f32 (log1p.f32 (pow.f32 (cbrt.f32 u2) 2)))
(exp.f32 (*.f32 (log.f32 u2) 2/3))
(exp.f32 (*.f32 (*.f32 (log.f32 u2) 2/3) 1))
(log1p.f32 (expm1.f32 (pow.f32 (cbrt.f32 u2) 2)))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))) 1)
(pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 1)
(pow.f32 (sqrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 2)
(pow.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 3)
(pow.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)
(sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 3))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))
(exp.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 1))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(cbrt.f32 (*.f32 u2 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)))) 1)
(pow.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)) 1)
(pow.f32 (*.f32 (cbrt.f32 u2) (sqrt.f32 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))) 3)
(pow.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32)) 1/3)
(sqrt.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (cbrt.f32 u2))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)))))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32)))
(cbrt.f32 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 u2 u2)))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) 2/3)))
(exp.f32 (*.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) 2/3)) 1))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))))
Outputs
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))
(*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))
(fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))
(-.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 u2 (PI.f32))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(-.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (*.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (sqrt.f32 -1)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1))))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))))
(fma.f32 -1 (*.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 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1) (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1))) (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 u2 (PI.f32)))))))
(-.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (PI.f32) (/.f32 (/.f32 u1 u2) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) (/.f32 (sqrt.f32 -1) u1)) (*.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (sqrt.f32 -1)))))
(+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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))))))) (PI.f32)))) (pow.f32 u1 3)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (*.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)) (PI.f32)))) (pow.f32 u1 2)) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (+.f32 (*.f32 -1 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) u1) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1)))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (*.f32 -1 (log.f32 (/.f32 1 u1))))))))))
(fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/3 (*.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2)) (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))))))))) (fma.f32 -1 (*.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 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1)))))) -1/2) 2))))))) (fma.f32 -1 (*.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 (*.f32 u2 (PI.f32)))) (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))) (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (neg.f32 (neg.f32 (log.f32 u1))))))))))
(-.f32 (+.f32 (*.f32 2 (*.f32 (*.f32 (sqrt.f32 -1) (*.f32 u2 (PI.f32))) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 (sqrt.f32 -1) u2) u1) (/.f32 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2))) u1))) (neg.f32 (*.f32 (/.f32 (sqrt.f32 -1) u1) (*.f32 u2 (PI.f32))))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 u2 (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))))
(+.f32 (*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 (sqrt.f32 -1) (sqrt.f32 (+.f32 (log.f32 -1) (log.f32 u1)))))) (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) (+.f32 (*.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (neg.f32 (*.f32 u2 (*.f32 (PI.f32) (fma.f32 1/2 (/.f32 (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)) (+.f32 (log.f32 -1) (log.f32 u1))) 1/3))))) (neg.f32 (+.f32 (*.f32 (/.f32 (PI.f32) (/.f32 (/.f32 u1 u2) (+.f32 1/2 (pow.f32 (*.f32 (sqrt.f32 (/.f32 1 (+.f32 (log.f32 -1) (log.f32 u1)))) -1/2) 2)))) (/.f32 (sqrt.f32 -1) u1)) (*.f32 (*.f32 (/.f32 u2 u1) (PI.f32)) (sqrt.f32 -1)))))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32)))))
(*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 -1 u2)) 2))
(*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) -1)) 2))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32))))))
(-.f32 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 (PI.f32) (*.f32 -1 u2)) 2)) (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1))))) (*.f32 (/.f32 u2 u1) (PI.f32)) (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (*.f32 (PI.f32) -1)) 2)))
(+.f32 (*.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (pow.f32 (sqrt.f32 -1) 2) (*.f32 u2 (PI.f32))))) (+.f32 (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (PI.f32)) u1))) (*.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.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)) (PI.f32))) (pow.f32 u1 2))))))
(fma.f32 2 (*.f32 (sqrt.f32 (log.f32 (/.f32 -1 u1))) (*.f32 (*.f32 u2 (PI.f32)) (pow.f32 (sqrt.f32 -1) 2))) (fma.f32 -1 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 u2 (/.f32 u1 (PI.f32)))) (neg.f32 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 (*.f32 u2 (*.f32 (PI.f32) (+.f32 1/2 (pow.f32 (*.f32 1/2 (*.f32 (sqrt.f32 (/.f32 1 (log.f32 (/.f32 -1 u1)))) (/.f32 1 (sqrt.f32 -1)))) 2)))) (*.f32 u1 u1))))))
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(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 1)
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(pow.f32 (sqrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 2)
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 3)
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(pow.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 3) 1/3)
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(sqrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (*.f32 (log1p.f32 u1) 4)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) 4)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (PI.f32))) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (log.f32 (pow.f32 (exp.f32 2) (*.f32 u2 (PI.f32)))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (*.f32 u2 (PI.f32)) (log.f32 (exp.f32 2))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(cbrt.f32 (pow.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1)))) 3))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 3)))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (log1p.f32 u1) 3/2) (pow.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 3)))
(expm1.f32 (log1p.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(exp.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))) 1))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(log1p.f32 (expm1.f32 (*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (log1p.f32 u1))))
(*.f32 2 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 u2 (PI.f32))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 u2 (PI.f32)))) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (*.f32 u2 (PI.f32)) 1)
(*.f32 u2 (PI.f32))
(pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)
(*.f32 u2 (PI.f32))
(pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)
(*.f32 u2 (PI.f32))
(pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)
(*.f32 u2 (PI.f32))
(sqrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2))
(fabs.f32 (*.f32 u2 (PI.f32)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) u2))
(*.f32 u2 (PI.f32))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 (PI.f32)))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 u2 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32))))
(*.f32 u2 (PI.f32))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3)))
(*.f32 u2 (PI.f32))
(expm1.f32 (log1p.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (log.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(exp.f32 (*.f32 (log.f32 (*.f32 u2 (PI.f32))) 1))
(*.f32 u2 (PI.f32))
(log1p.f32 (expm1.f32 (*.f32 u2 (PI.f32))))
(*.f32 u2 (PI.f32))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)))) 1)
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
(pow.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)) 1)
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
(pow.f32 (*.f32 (cbrt.f32 u2) (sqrt.f32 (PI.f32))) 2)
(pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))) 3)
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
(pow.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32)) 1/3)
(cbrt.f32 (*.f32 (PI.f32) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(cbrt.f32 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 3))))
(sqrt.f32 (*.f32 (pow.f32 (PI.f32) 2) (*.f32 u2 (cbrt.f32 u2))))
(sqrt.f32 (*.f32 (*.f32 u2 (cbrt.f32 u2)) (pow.f32 (PI.f32) 2)))
(sqrt.f32 (*.f32 (cbrt.f32 u2) (*.f32 u2 (pow.f32 (PI.f32) 2))))
(sqrt.f32 (*.f32 u2 (*.f32 (cbrt.f32 u2) (pow.f32 (PI.f32) 2))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (pow.f32 (cbrt.f32 u2) 2)))
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32)))))
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
(cbrt.f32 (*.f32 (pow.f32 (*.f32 u2 (PI.f32)) 2) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(cbrt.f32 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 3))))
(cbrt.f32 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 (PI.f32) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(cbrt.f32 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 3))))
(cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (*.f32 u2 u2)))
(cbrt.f32 (*.f32 (PI.f32) (pow.f32 (*.f32 u2 (PI.f32)) 2)))
(cbrt.f32 (*.f32 (*.f32 u2 u2) (pow.f32 (PI.f32) 3)))
(cbrt.f32 (*.f32 u2 (*.f32 u2 (pow.f32 (PI.f32) 3))))
(expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))))
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) 2/3)))
(exp.f32 (+.f32 (*.f32 (log.f32 u2) 2/3) (log.f32 (PI.f32))))
(*.f32 (PI.f32) (pow.f32 (exp.f32 2/3) (log.f32 u2)))
(exp.f32 (*.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 u2) 2/3)) 1))
(exp.f32 (+.f32 (*.f32 (log.f32 u2) 2/3) (log.f32 (PI.f32))))
(*.f32 (PI.f32) (pow.f32 (exp.f32 2/3) (log.f32 u2)))
(log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cbrt.f32 u2) 2) (PI.f32))))
(*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2))

eval627.0ms (4.4%)

Compiler

Compiled 25933 to 14676 computations (43.4% saved)

prune356.0ms (2.5%)

Pruning

65 alts after pruning (56 fresh and 9 done)

PrunedKeptTotal
New89617913
Fresh143953
Picked101
Done1910
Total91265977
Error
0.13%
Counts
977 → 65
Alt Table
Click to see full alt table
StatusErrorProgram
6.27%
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))))
8.66%
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
31.14%
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
32.86%
(pow.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/3)) 3)
26.95%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (/.f32 1 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3))
24.44%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
32.49%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
25.34%
(/.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) -2)))
24.49%
(/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
32.52%
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 2 (*.f32 u2 (PI.f32))))
30.88%
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))
30.87%
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
30.99%
(*.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))
15.93%
(*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
30.91%
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
3.53%
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
2.03%
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
3.52%
(*.f32 (sqrt.f32 (neg.f32 (/.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)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
1.71%
(*.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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
7.14%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
12.19%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
10.6%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
22.75%
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
31.97%
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
46.2%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -1))
3.38%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
2.63%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
41.69%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
1.75%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
41.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)) 1))
46.45%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) 1))
41.58%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) 1))
37.86%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
19.48%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
16.29%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
16.68%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
16.13%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))
16.25%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
16.04%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))))
15.88%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
18.92%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
15.87%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
6.06%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
44.09%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
41.23%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
1.54%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
1.62%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
5.76%
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
43.68%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) 2))
43.29%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
42.54%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
42.81%
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
24.43%
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
2.31%
(*.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
7.69%
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1)))))
1.61%
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
22.44%
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
60.93%
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
30.95%
(*.f32 2 (*.f32 u2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))
30.83%
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
31.39%
(*.f32 2 (*.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
32.24%
(*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
95.73%
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
25.23%
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
30.82%
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))
Compiler

Compiled 1219 to 1015 computations (16.7% saved)

regimes728.0ms (5.1%)

Counts
130 → 1
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.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))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
(*.f32 2 (*.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 2 (*.f32 u2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 2 (*.f32 u2 (PI.f32))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1)))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(pow.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/3)) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) -2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 (PI.f32) u2)) 3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) u2)) 2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (pow.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) 1/3))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (pow.f32 (/.f32 1 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3)) 1/3))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2))))
(/.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (/.f32 2 (+.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (sin.f32 (*.f32 (PI.f32) 0)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (*.f32 (pow.f32 (PI.f32) 3) (pow.f32 u2 3))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (*.f32 (PI.f32) (pow.f32 (cbrt.f32 u2) 2)) (cbrt.f32 u2)))))
(*.f32 (sin.f32 (pow.f32 (sqrt.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) 2)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (neg.f32 (pow.f32 u1 3))) (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (pow.f32 (sqrt.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 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)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 (+.f32 (pow.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) -1) (+.f32 2 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) 2) (*.f32 (cbrt.f32 (PI.f32)) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))) 1))
(*.f32 (sqrt.f32 (neg.f32 (pow.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) 3))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (pow.f32 (cbrt.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)) 1))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (pow.f32 (pow.f32 (*.f32 (PI.f32) u2) 3) 1/3)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2) (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (*.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))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 3/2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2) (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) -1))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(fma.f32 -4/3 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))) (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))) (*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1)))))))
(*.f32 (sqrt.f32 (neg.f32 (/.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)))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (-.f32 (exp.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)) (log.f32 (cbrt.f32 (+.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))))) 1))
(*.f32 (*.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)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 (*.f32 (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32))))) 2)))
(fma.f32 4/15 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (*.f32 (pow.f32 u2 5) (pow.f32 (PI.f32) 5))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 2 (*.f32 u2 (PI.f32))) (*.f32 (*.f32 -4/3 (pow.f32 u2 3)) (pow.f32 (PI.f32) 3)))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 u2 (*.f32 2 (PI.f32))) (*.f32 (*.f32 -8/315 (pow.f32 u2 7)) (pow.f32 (PI.f32) 7)))) (*.f32 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))) (+.f32 (*.f32 (*.f32 4/15 (pow.f32 u2 5)) (pow.f32 (PI.f32) 5)) (*.f32 -4/3 (*.f32 (pow.f32 u2 3) (pow.f32 (PI.f32) 3))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
Calls

10 calls:

131.0ms
u2
89.0ms
cosTheta_i
85.0ms
u1
63.0ms
(-.f32 1 u1)
63.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Results
ErrorSegmentsBranch
1.54%1cosTheta_i
1.54%1u1
1.54%1u2
1.54%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.54%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.54%1(neg.f32 (log.f32 (-.f32 1 u1)))
1.54%1(log.f32 (-.f32 1 u1))
1.54%1(-.f32 1 u1)
1.54%1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.54%1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 2113 to 1138 computations (46.1% saved)

regimes521.0ms (3.6%)

Counts
88 → 1
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.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))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
(*.f32 2 (*.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 2 (*.f32 u2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (*.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) (cbrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (*.f32 2 (*.f32 u2 (PI.f32))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (*.f32 u1 (neg.f32 u1)))))
(*.f32 (*.f32 u2 (PI.f32)) (*.f32 2 (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1)))))))
(*.f32 (*.f32 (*.f32 2 u2) (PI.f32)) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (neg.f32 (*.f32 u1 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (+.f32 1 (-.f32 (*.f32 (PI.f32) u2) 1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (-.f32 (+.f32 (*.f32 (PI.f32) u2) 1) 1))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (+.f32 (+.f32 -1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 1))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (neg.f32 u1)) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 2)))
(sqrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) 2) (log1p.f32 u1)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))) 3)
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (exp.f32 (log.f32 (*.f32 u2 (PI.f32))))))
(*.f32 (/.f32 (log1p.f32 u1) (sqrt.f32 (log1p.f32 u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))))
(*.f32 (pow.f32 (pow.f32 (log1p.f32 u1) 1/4) 2) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (sin.f32 (*.f32 2 (*.f32 u2 (PI.f32)))) (/.f32 (sqrt.f32 (log1p.f32 u1)) (log1p.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (cbrt.f32 (*.f32 u2 (PI.f32))) 3)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (sqrt.f32 (*.f32 u2 (PI.f32))) 2)))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(pow.f32 (exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (*.f32 (PI.f32) 2)))) 1/3)) 3)
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (sqrt.f32 u2)) (sqrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (pow.f32 (pow.f32 (*.f32 u2 (PI.f32)) 3) 1/3)))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (-.f32 (log1p.f32 u1) (log1p.f32 (*.f32 u1 (neg.f32 u1))))))
(*.f32 (sqrt.f32 (neg.f32 (*.f32 2 (log.f32 (sqrt.f32 (-.f32 1 u1)))))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (*.f32 (PI.f32) (cbrt.f32 (*.f32 u2 u2))) (cbrt.f32 u2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log1p.f32 (*.f32 u1 (neg.f32 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (*.f32 u1 u1))) (log1p.f32 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (pow.f32 (sqrt.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2)))) 2))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (log1p.f32 u1))) 3) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (sqrt.f32 (pow.f32 (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) -2)))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))) 2)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))) 3) (pow.f32 (log1p.f32 u1) 3/2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (expm1.f32 (log1p.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (expm1.f32 (log1p.f32 (*.f32 (PI.f32) u2))))))
(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (exp.f32 (log.f32 (*.f32 2 (*.f32 (PI.f32) u2))))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
Calls

10 calls:

77.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
76.0ms
(log.f32 (-.f32 1 u1))
69.0ms
cosTheta_i
67.0ms
u1
41.0ms
u2
Results
ErrorSegmentsBranch
1.54%1cosTheta_i
1.54%1u1
1.54%1u2
1.54%1(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
1.54%1(sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1))))
1.54%1(neg.f32 (log.f32 (-.f32 1 u1)))
1.54%1(log.f32 (-.f32 1 u1))
1.54%1(-.f32 1 u1)
1.54%1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
1.54%1(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 1193 to 660 computations (44.7% saved)

regimes176.0ms (1.2%)

Counts
34 → 2
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.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))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 2 (exp.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) u2)))))
(*.f32 2 (*.f32 u2 (exp.f32 (log.f32 (*.f32 (PI.f32) (sqrt.f32 u1))))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (PI.f32) (*.f32 u2 2))))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(sqrt.f32 (*.f32 (log1p.f32 u1) (pow.f32 (*.f32 (PI.f32) (*.f32 2 u2)) 2)))
(*.f32 2 (*.f32 u2 (pow.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 u1))) 2)))
(*.f32 (cbrt.f32 (pow.f32 (log1p.f32 u1) 3/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 3)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (*.f32 2 (*.f32 u2 (PI.f32))))) 2)
(cbrt.f32 (*.f32 (pow.f32 (*.f32 2 (*.f32 u2 (PI.f32))) 3) (pow.f32 u1 3/2)))
(*.f32 (exp.f32 (*.f32 (log.f32 (log1p.f32 u1)) 1/2)) (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
Calls

5 calls:

53.0ms
cosTheta_i
36.0ms
u2
31.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
31.0ms
u1
16.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
Results
ErrorSegmentsBranch
7.14%1cosTheta_i
3.28%2u1
3.54%2u2
7.14%1(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
3.54%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 391 to 229 computations (41.4% saved)

bsearch1.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.028202062472701073
0.028770480304956436
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes98.0ms (0.7%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
Calls

5 calls:

22.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
20.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
20.0ms
u1
20.0ms
u2
10.0ms
cosTheta_i
Results
ErrorSegmentsBranch
10.6%1cosTheta_i
4.74%2u1
4.67%2u2
5.74%2(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
4.67%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 242 to 143 computations (40.9% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.004150018561631441
0.004194327630102634
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes114.0ms (0.8%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (log1p.f32 u1)) (*.f32 (PI.f32) (*.f32 2 u2)))
(/.f32 (sqrt.f32 (log1p.f32 u1)) (/.f32 1/2 (*.f32 u2 (PI.f32))))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2)))
(sqrt.f32 (*.f32 u1 (pow.f32 (*.f32 u2 (*.f32 (PI.f32) 2)) 2)))
(*.f32 (neg.f32 (sqrt.f32 (log1p.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 (*.f32 u2 (PI.f32)) (sqrt.f32 (log.f32 (+.f32 1 u1)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))
(*.f32 (pow.f32 u1 1/4) (*.f32 (pow.f32 u1 1/4) (*.f32 u2 (*.f32 (PI.f32) 2))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1))
Calls

5 calls:

43.0ms
(*.f32 (*.f32 2 (PI.f32)) u2)
19.0ms
u2
19.0ms
(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
18.0ms
u1
10.0ms
cosTheta_i
Results
ErrorSegmentsBranch
15.88%1cosTheta_i
9.98%2u1
8.13%2u2
9.02%2(sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))
8.13%2(*.f32 (*.f32 2 (PI.f32)) u2)
Compiler

Compiled 226 to 132 computations (41.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.015651701018214226
0.015779905021190643
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes88.0ms (0.6%)

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

3 calls:

55.0ms
u2
17.0ms
u1
11.0ms
cosTheta_i
Results
ErrorSegmentsBranch
22.44%1cosTheta_i
16.85%2u1
14.73%2u2
Compiler

Compiled 174 to 97 computations (44.3% saved)

bsearch0.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0006305332062765956
0.0006494272383861244
Compiler

Compiled 22 to 19 computations (13.6% saved)

regimes24.0ms (0.2%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 u2 (*.f32 (*.f32 2 (sqrt.f32 (log1p.f32 u1))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 2 u2) (sqrt.f32 (log1p.f32 u1))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
Calls

3 calls:

8.0ms
u1
7.0ms
u2
6.0ms
cosTheta_i
Results
ErrorSegmentsBranch
22.75%1cosTheta_i
22.75%1u1
22.75%1u2
Compiler

Compiled 106 to 60 computations (43.4% saved)

regimes58.0ms (0.4%)

Accuracy

Total -20.8b remaining (-211.3%)

Threshold costs -20.8b (-211.3%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (PI.f32) (*.f32 (sqrt.f32 u1) (*.f32 2 u2)))
(*.f32 (*.f32 (sqrt.f32 u1) 2) (*.f32 u2 (PI.f32)))
(*.f32 (*.f32 (sqrt.f32 u1) (*.f32 u2 (PI.f32))) 2)
(*.f32 (*.f32 (*.f32 (sqrt.f32 u1) 2) u2) (PI.f32))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
Outputs
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
Calls

3 calls:

45.0ms
u2
6.0ms
cosTheta_i
5.0ms
u1
Results
ErrorSegmentsBranch
30.83%1cosTheta_i
30.83%1u1
30.83%1u2
Compiler

Compiled 73 to 41 computations (43.8% saved)

simplify25.0ms (0.2%)

Algorithm
egg-herbie
Rules
98×distribute-lft-neg-in
84×*-commutative
54×distribute-rgt-neg-in
40×+-commutative
40×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
074583
1112583
2127583
3164567
4204567
5247567
6289567
7322567
8326567
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 15300821/536870912) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2233383/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 8428873/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 2748779/4294967296) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
Outputs
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) u2) 3)))))
(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sin.f32 (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 15300821/536870912) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))))
(if (<=.f32 u1 15300821/536870912) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))) u1))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 15300821/536870912) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (neg.f32 (+.f32 -1/2 (*.f32 u1 -1/3)))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 15300821/536870912) (*.f32 (sqrt.f32 (-.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 -1/2 (*.f32 u1 -1/3))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 u1 15300821/536870912) (*.f32 (sqrt.f32 (+.f32 u1 (*.f32 (*.f32 u1 u1) (+.f32 1/2 (*.f32 u1 1/3))))) (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32))))) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))))
(if (<=.f32 (*.f32 (*.f32 2 (PI.f32)) u2) 2233383/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 -1/2 u1) u1) u1))) (sin.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2233383/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.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))) 2233383/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 (+.f32 u1 (*.f32 (neg.f32 u1) (*.f32 u1 -1/2))))))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 2233383/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.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) 8428873/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 (*.f32 u2 (*.f32 2 (PI.f32))) 8428873/536870912) (*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (*.f32 2 (*.f32 (PI.f32) u2))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 2748779/4294967296) (*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 2748779/4294967296) (*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1)))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 2748779/4294967296) (*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (*.f32 (neg.f32 u1) (*.f32 u1 -1/2))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(if (<=.f32 u2 2748779/4294967296) (*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 (*.f32 u1 1/2))))) (*.f32 (sin.f32 (*.f32 u2 (*.f32 2 (PI.f32)))) (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))) (*.f32 2 (*.f32 u2 (PI.f32))))
(*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) (sqrt.f32 (neg.f32 (-.f32 (*.f32 u1 (*.f32 u1 -1/2)) u1))))
(*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (*.f32 (neg.f32 u1) (*.f32 u1 -1/2)))))
(*.f32 (*.f32 2 (*.f32 (PI.f32) u2)) (sqrt.f32 (+.f32 u1 (*.f32 u1 (*.f32 u1 1/2)))))
(*.f32 2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 -2 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))))
(*.f32 (*.f32 u2 (*.f32 (PI.f32) (sqrt.f32 u1))) -2)
Compiler

Compiled 207 to 162 computations (21.7% saved)

soundness76.0ms (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
Compiler

Compiled 54 to 38 computations (29.6% saved)

end168.0ms (1.2%)

Compiler

Compiled 183 to 103 computations (43.7% saved)

Profiling

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