normal distribution

Time bar (total: 12.6s)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%6.2%93.8%0%0%0%0
100%6.2%0%93.8%0%0%0%1
Compiler

Compiled 36 to 30 computations (16.7% saved)

sample2.7s (21.5%)

Results
2.7s8256×body256valid
Bogosity

preprocess304.0ms (2.4%)

Algorithm
egg-herbie
Rules
1974×cube-prod
1380×unswap-sqr
1314×sqr-pow
1014×unpow3
810×fabs-mul
Problems
256×No Errors
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043239
199239
2194239
3397239
4837239
51128239
61388239
71901239
82793239
92987239
103254239
113640239
124188239
134974239
146003239
156716239
167334239
177980239
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 (neg.f64 u1))) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) (neg.f64 u2)))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u1))) 1/2)
Outputs
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 (neg.f64 u1))) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1))))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1))))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) (neg.f64 u2)))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u1))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u2)))) (cos.f64 (*.f64 u1 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u2))) (cos.f64 (*.f64 u1 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u2))) (cos.f64 (*.f64 (PI.f64) (*.f64 u1 2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u2))) (*.f64 1/6 (cos.f64 (*.f64 u1 (*.f64 2 (PI.f64))))) 1/2)
Symmetry

(abs u2)

Compiler

Compiled 107 to 83 computations (22.4% saved)

eval1.0ms (0%)

Compiler

Compiled 32 to 25 computations (21.9% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.4%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.4%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
Compiler

Compiled 76 to 68 computations (10.5% saved)

localize205.0ms (1.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
99.8%
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
99.6%
(*.f64 (PI.f64) u2)
99.4%
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.9%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.8%
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
99.3%
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
Compiler

Compiled 145 to 96 computations (33.8% saved)

series103.0ms (0.8%)

Counts
8 → 132
Calls

33 calls:

TimeVariablePointExpression
33.0ms
u2
@inf
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
22.0ms
u1
@0
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
20.0ms
u1
@-inf
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
6.0ms
u1
@inf
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
5.0ms
u1
@0
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite134.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
858×expm1-udef
852×log1p-udef
626×fma-def
508×add-sqr-sqrt
486×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030208
1602208
25993208
Stop Event
node limit
Counts
8 → 204
Calls
Call 1
Inputs
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
(*.f64 (*.f64 2 (PI.f64)) u2)
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(*.f64 (PI.f64) u2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1)
(pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
(sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(exp.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 2 u2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 u2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) u2) 2) 4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) (PI.f64)) u2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 2 u2)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (PI.f64)) u2) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2))) (pow.f64 (exp.f64 (PI.f64)) u2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2))) (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 u2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(fma.f64 1 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))
(fma.f64 (PI.f64) u2 (*.f64 (PI.f64) u2))
(fma.f64 u2 (PI.f64) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 (PI.f64) u2) 1 (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) u2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2)) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2)) (cbrt.f64 (*.f64 (PI.f64) u2)) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (PI.f64)) u2) (*.f64 (PI.f64) u2))
(fma.f64 (cbrt.f64 (*.f64 u2 u2)) (*.f64 (cbrt.f64 u2) (PI.f64)) (*.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) u2)) (sqrt.f64 (*.f64 (PI.f64) u2)) (*.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) u2) (*.f64 (PI.f64) u2))
(fma.f64 (sqrt.f64 u2) (*.f64 (sqrt.f64 u2) (PI.f64)) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 (PI.f64) (cbrt.f64 (*.f64 u2 u2))) (cbrt.f64 u2) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 u2)) (sqrt.f64 u2) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 u2 (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) u2))
(fma.f64 (*.f64 u2 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) u2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)) (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)) (/.f64 1/4 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(*.f64 1 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))
(*.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 1)
(*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(*.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) -1/4) (/.f64 1 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8)))
(/.f64 1 (/.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2) (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) -1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8) (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(/.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))
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(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(pow.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)) 1/4)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
(sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))

simplify166.0ms (1.3%)

Algorithm
egg-herbie
Rules
784×log-prod
712×associate-*r*
612×associate-*l*
440×times-frac
398×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041615088
195814420
2345514160
Stop Event
node limit
Counts
336 → 267
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
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(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))))
(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 u2 4) (*.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))))
(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 -2/135 (*.f64 (*.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 u2 4) (*.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
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(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
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(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
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(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
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(fma.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cbrt.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (cbrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (*.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1/2)
(fma.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) (sqrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)) (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)) (/.f64 1/4 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(*.f64 1 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))
(*.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 1)
(*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(*.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8) (/.f64 1 (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))
(*.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) -1/4) (/.f64 1 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))) (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8)))
(/.f64 1 (/.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2) (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) -1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8) (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(/.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) -1/4) (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2))
(/.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/8)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) 1/4) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) -1/4)) (neg.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) u2))) 1)
(pow.f64 (*.f64 (PI.f64) u2) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) u2)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) u2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) u2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) u2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) u2)))
(exp.f64 (log.f64 (*.f64 (PI.f64) u2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) u2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) u2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(pow.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)) 1/4)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
(sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
Outputs
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6))
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(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 2))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 1 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
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(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 (cbrt.f64 (*.f64 -2 (*.f64 (log.f64 u1) 1/36))) (*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
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(fma.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 2) (*.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cbrt.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))))) (cbrt.f64 (*.f64 (*.f64 -2 (*.f64 (log.f64 u1) 1/36)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) 1/2)
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(fma.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (cbrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1/2)
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(fma.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))) (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
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(fma.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) 1/2)
(fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 -2 (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
(fma.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (*.f64 (log.f64 u1) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 2)) (cbrt.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 1/2)
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(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1)
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))
(sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2)))
(sqrt.f64 (*.f64 (log.f64 u1) (*.f64 -2 (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2))))
(sqrt.f64 (*.f64 -2 (*.f64 (log.f64 u1) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) (pow.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))
(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))

eval220.0ms (1.7%)

Compiler

Compiled 6416 to 4599 computations (28.3% saved)

prune164.0ms (1.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New25314267
Fresh000
Picked202
Done000
Total25514269
Accuracy
100.0%
Counts
269 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
99.1%
(fma.f64 1/6 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.3%
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
98.9%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.2%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
98.1%
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
99.1%
(fma.f64 1/6 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.3%
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
98.9%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.2%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
Compiler

Compiled 1152 to 1028 computations (10.8% saved)

localize1.5s (11.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
Compiler

Compiled 379 to 243 computations (35.9% saved)

series0.0ms (0%)

Counts
4 → 0

rewrite158.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
884×expm1-udef
602×associate-*r*
568×pow1
548×add-sqr-sqrt
538×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0312
16012
270412
3756312
Stop Event
node limit
Counts
4 → 188
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
Outputs
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
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(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
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(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
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(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
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(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
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(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
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(log1p.f64 (expm1.f64 (PI.f64)))

simplify75.0ms (0.6%)

Algorithm
egg-herbie
Rules
992×fma-def
680×associate-+l-
600×associate-+r-
592×times-frac
546×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01262276
12822148
28922100
339351988
Stop Event
node limit
Counts
188 → 64
Calls
Call 1
Inputs
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
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(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (PI.f64))
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (+.f64 (PI.f64) 1) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (PI.f64)))
Outputs
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 5))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(PI.f64)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (PI.f64))) 2)) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 5))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (+.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1)) 1) (+.f64 (+.f64 (PI.f64) 1) 1))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (PI.f64))) 3))
(PI.f64)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (PI.f64))) 1/3))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 2))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)

eval387.0ms (3.1%)

Compiler

Compiled 6610 to 4661 computations (29.5% saved)

prune295.0ms (2.3%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New2560256
Fresh099
Picked055
Done000
Total25614270
Accuracy
100.0%
Counts
270 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
99.1%
(fma.f64 1/6 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.3%
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
98.9%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.2%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
98.1%
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
99.1%
(fma.f64 1/6 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
99.3%
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
98.9%
(+.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.2%
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
Compiler

Compiled 966 to 860 computations (11% saved)

localize1.2s (9.6%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (PI.f64) (*.f64 2 u2))
99.4%
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
99.0%
(cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
98.8%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
99.3%
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
99.2%
(cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
98.8%
(pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
99.4%
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
99.3%
(*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
99.2%
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
99.9%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
99.8%
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
99.6%
(*.f64 (PI.f64) (*.f64 2 u2))
99.3%
(*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.8%
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
99.4%
(*.f64 (log.f64 u1) -1/18)
Compiler

Compiled 414 to 284 computations (31.4% saved)

series208.0ms (1.6%)

Counts
16 → 264
Calls

66 calls:

TimeVariablePointExpression
58.0ms
u1
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
25.0ms
u1
@0
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
22.0ms
u1
@inf
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
19.0ms
u2
@inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
18.0ms
u1
@inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)

rewrite195.0ms (1.5%)

Algorithm
batch-egg-rewrite
Rules
742×add-sqr-sqrt
710×pow1
704×*-un-lft-identity
692×add-exp-log
690×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044464
1900436
Stop Event
node limit
Counts
16 → 363
Calls
Call 1
Inputs
(*.f64 (log.f64 u1) -1/18)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (PI.f64) (*.f64 2 u2))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
(pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
(*.f64 (PI.f64) (*.f64 2 u2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))) 1)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))
(log.f64 (pow.f64 u1 -1/18))
(log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
(exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(*.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)
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(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) 1) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6)) (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6))
(sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6) (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/3))
(pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(*.f64 1 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) (sqrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(*.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8) (/.f64 1 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4) (/.f64 1 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2))) (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2) (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8) (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4) (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8)) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4)) (neg.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36)) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1)
(pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 2 u2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 u2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2))))

simplify390.0ms (3.1%)

Algorithm
egg-herbie
Rules
860×sqr-pow
678×log-prod
656×fma-def
514×*-commutative
376×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086730223
1223729065
2547228783
Stop Event
node limit
Counts
627 → 537
Calls
Call 1
Inputs
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)))
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(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3) (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 1)
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)))) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6) (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/3))
(pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/6) 2)
(sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1))
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)) (/.f64 1/4 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(*.f64 1 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 2) (cbrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) (sqrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(*.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8) (/.f64 1 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)))))
(*.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4) (/.f64 1 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2))) (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8)))
(/.f64 1 (/.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2) (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4)))
(/.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8) (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4) (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3) 1/8)) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (-.f64 1/4 (*.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) -1/4)) (neg.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) -1/2)))
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36) (*.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 (log.f64 u1) -2) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) 1/36)) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))
(pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1)
(pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 2 u2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 u2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
Outputs
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
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(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) 1))
(fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))
(fma.f64 (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 1)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3) 1/3)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 2))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))
(*.f64 (PI.f64) (log.f64 (pow.f64 (exp.f64 2) u2)))
(*.f64 (PI.f64) (*.f64 u2 (log.f64 (exp.f64 2))))
(*.f64 (PI.f64) (*.f64 2 u2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 2 u2) 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 u2) 3) (pow.f64 (PI.f64) 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 (*.f64 2 u2) (PI.f64))

eval613.0ms (4.9%)

Compiler

Compiled 25423 to 18191 computations (28.4% saved)

prune179.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New9757982
Fresh404
Picked325
Done415
Total98610996
Accuracy
100.0%
Counts
996 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.8%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/6) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.7%
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
99.4%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
99.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.8%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/6) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.7%
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
99.4%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
Compiler

Compiled 592 to 528 computations (10.8% saved)

localize607.0ms (4.8%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
3.1%
(PI.f64)
Compiler

Compiled 307 to 207 computations (32.6% saved)

eval922.0ms (7.3%)

Compiler

Compiled 24130 to 17519 computations (27.4% saved)

prune126.0ms (1%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New102401024
Fresh022
Picked055
Done033
Total1024101034
Accuracy
100.0%
Counts
1034 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
98.8%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/6) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.f64 (*.f64 (*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.7%
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0%
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
99.4%
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.2%
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
Compiler

Compiled 578 to 467 computations (19.2% saved)

regimes216.0ms (1.7%)

Counts
23 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/6) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 1/6 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(+.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 1/6 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) 1/2)
(/.f64 (-.f64 1/4 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2))) (-.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
Outputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
Calls

10 calls:

45.0ms
u2
35.0ms
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
27.0ms
(log.f64 u1)
18.0ms
(*.f64 -2 (log.f64 u1))
16.0ms
u1
Results
AccuracySegmentsBranch
99.7%1u1
99.7%1u2
99.7%1(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.7%1(*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2)))
99.7%1(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
99.7%1(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
99.7%1(*.f64 -2 (log.f64 u1))
99.7%1(log.f64 u1)
99.7%1(cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))
99.7%1(*.f64 (*.f64 2 (PI.f64)) u2)
Compiler

Compiled 494 to 390 computations (21.1% saved)

regimes153.0ms (1.2%)

Counts
5 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
Calls

10 calls:

23.0ms
(*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2)))
18.0ms
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
17.0ms
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
17.0ms
(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
16.0ms
u1
Results
AccuracySegmentsBranch
99.6%1u1
99.6%1u2
99.6%1(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.6%1(*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2)))
99.6%1(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
99.6%1(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
99.6%1(*.f64 -2 (log.f64 u1))
99.6%1(log.f64 u1)
99.6%1(cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))
99.6%1(*.f64 (*.f64 2 (PI.f64)) u2)
Compiler

Compiled 160 to 133 computations (16.9% saved)

regimes43.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2)) 1/2)
Outputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
Calls

3 calls:

14.0ms
u1
14.0ms
(log.f64 u1)
12.0ms
u2
Results
AccuracySegmentsBranch
0.0%1u1
0.0%1u2
0.0%1(log.f64 u1)
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027115
136115
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
Outputs
(+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 1/2 (*.f64 (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
Compiler

Compiled 42 to 37 computations (11.9% saved)

soundness1.3s (10.3%)

Rules
860×sqr-pow
860×sqr-pow
858×expm1-udef
852×log1p-udef
784×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030208
1602208
25993208
041615088
195814420
2345514160
086730223
1223729065
2547228783
086730223
1223729065
2547228783
Stop Event
node limit
node limit
node limit
node limit
Compiler

Compiled 419 to 336 computations (19.8% saved)

end0.0ms (0%)

preprocess49.0ms (0.4%)

Remove

(abs u2)

Compiler

Compiled 150 to 128 computations (14.7% saved)

Profiling

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