normal distribution

Time bar (total: 11.3s)

analyze51.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%6.2%93.8%0%0%0%0
0%0%6.2%93.8%0%0%0%1
50%3.1%3.1%93.8%0%0%0%2
50%3.1%3.1%93.8%0%0%0%3
75%4.7%1.6%93.8%0%0%0%4
75%4.7%1.6%93.8%0%0%0%5
87.5%5.5%0.8%93.8%0%0%0%6
87.5%5.5%0.8%93.8%0%0%0%7
93.8%5.8%0.4%93.8%0%0%0%8
93.8%5.8%0.4%93.8%0%0%0%9
96.9%6%0.2%93.8%0%0%0%10
96.9%6%0.2%93.8%0%0%0%11
98.4%6.1%0.1%93.8%0%0%0%12
Compiler

Compiled 36 to 30 computations (16.7% saved)

Precisions
Click to see histograms
Operation ival-pow, total time spent: 7.0ms
Operation ival-pi, total time spent: 1.0ms
Operation ival-mult, total time spent: 10.0ms
Operation ival-log, total time spent: 3.0ms
Operation ival-div, total time spent: 2.0ms
Operation ival-cos, total time spent: 2.0ms
Operation ival-and, total time spent: 1.0ms
Operation ival-add, total time spent: 1.0ms
Operation ival-<=, total time spent: 3.0ms
Operation const, total time spent: 2.0ms

sample3.4s (30.2%)

Results
3.4s8256×body256valid
Precisions
Click to see histograms
Operation ival-pow, total time spent: 423.0ms
Operation ival-pi, total time spent: 275.0ms
Operation ival-mult, total time spent: 497.0ms
Operation ival-log, total time spent: 256.0ms
Operation ival-div, total time spent: 84.0ms
Operation ival-cos, total time spent: 81.0ms
Operation ival-and, total time spent: 37.0ms
Operation ival-add, total time spent: 52.0ms
Operation ival-<=, total time spent: 195.0ms
Operation const, total time spent: 65.0ms
Bogosity

preprocess373.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1764×fma-def
1384×distribute-rgt-neg-in
1376×distribute-lft-neg-in
852×unswap-sqr
792×fma-neg
Problems
256×No Errors
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047391
1116387
2254379
3631379
41640379
52809379
63718379
75376379
86822379
97959379
Stop Event
1×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)
(neg.f64 (+.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))
(neg.f64 (+.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)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 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)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 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)
(fma.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1))))) 1/2)
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 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)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(neg.f64 (+.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))
(neg.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1))))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1)))))) -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)
(fma.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1)))) -1/6) -1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1)))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/6) -1/2)
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 (neg.f64 u1)))) -1/6) -1/2)
(neg.f64 (+.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))
(neg.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) (neg.f64 u2))) 1/2))
(neg.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2))
(fma.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -1/6) -1/2)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/6) -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)
Symmetry

(abs u2)

Compiler

Compiled 107 to 84 computations (21.5% saved)

Precisions
Click to see histograms
Operation ival-pow, total time spent: 26.0ms
Operation ival-pi, total time spent: 4.0ms
Operation ival-mult, total time spent: 36.0ms
Operation ival-log, total time spent: 23.0ms
Operation ival-div, total time spent: 9.0ms
Operation ival-cos, total time spent: 7.0ms
Operation ival-add, total time spent: 2.0ms
Operation const, total time spent: 8.0ms

eval1.0ms (0%)

Compiler

Compiled 62 to 46 computations (25.8% saved)

prune3.0ms (0%)

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

localize266.0ms (2.4%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.7%
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓99.6%
(*.f64 (PI.f64) (*.f64 2 u2))
✓99.4%
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 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)
✓99.7%
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.4%
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
Compiler

Compiled 141 to 100 computations (29.1% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 7.0ms
Operation ival-pow, total time spent: 25.0ms
Operation ival-pi, total time spent: 2.0ms
Operation ival-mult, total time spent: 63.0ms
Operation ival-log, total time spent: 6.0ms
Operation ival-fma, total time spent: 3.0ms
Operation ival-div, total time spent: 9.0ms
Operation ival-cos, total time spent: 14.0ms
Operation ival-add, total time spent: 2.0ms
Operation const, total time spent: 8.0ms

series89.0ms (0.8%)

Counts
7 → 108
Calls

27 calls:

TimeVariablePointExpression
29.0ms
u1
@0
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
21.0ms
u1
@-inf
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
12.0ms
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)
11.0ms
u1
@inf
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
3.0ms
u2
@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)

rewrite542.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
1880×prod-diff
843×log1p-expm1-u
524×expm1-udef
524×log1p-udef
346×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032202
1396202
24202202
Stop Event
1×node limit
Counts
7 → 159
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 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(*.f64 (PI.f64) (*.f64 2 u2))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
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 (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))))
(-.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 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(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 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)) (/.f64 1/4 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1/2)))
(*.f64 1 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))
(*.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 1)
(*.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 2))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(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 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4) 1/4)
(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)))))

simplify159.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1066×unswap-sqr
988×fma-def
672×distribute-rgt-in
652×distribute-lft-in
476×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028713197
166812617
2234612415
Stop Event
1×node limit
Counts
267 → 163
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))))))
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(*.f64 2 (*.f64 u2 (PI.f64)))
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(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
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(*.f64 2 (*.f64 u2 (PI.f64)))
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(sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 u2) 3) (pow.f64 (PI.f64) 3)))
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(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 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))))
(-.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 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(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 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4) 1/4)
(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)))))
Outputs
(*.f64 1/6 (*.f64 (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 (sqrt.f64 (log.f64 u1)) (*.f64 1/6 (sqrt.f64 -2)))
(*.f64 1/6 (*.f64 (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 (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 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
(*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
(*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
(*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2)))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2)))
(*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) 1/6))
(*.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) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (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) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (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) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (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) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (sqrt.f64 -2)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (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 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 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) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.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 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.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 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.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 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.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 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.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 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(+.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 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(+.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 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(+.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 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(+.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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (sqrt.f64 -2) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 (*.f64 (*.f64 1/6 (sqrt.f64 -2)) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 1/6 (*.f64 (sqrt.f64 -2) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
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(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(log.f64 (exp.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(exp.f64 (log.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)) 1))
(fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) 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 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 1)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 3)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3) 1/3)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 2))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) u2) (PI.f64)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 3))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 2 u2) 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 u2) 3) (pow.f64 (PI.f64) 3)))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) u2))))
(*.f64 2 (*.f64 u2 (PI.f64)))
(*.f64 u2 (*.f64 2 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 1 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4) 1/4)
(pow.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)) 1/4)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(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))

eval75.0ms (0.7%)

Compiler

Compiled 4043 to 3038 computations (24.9% saved)

prune51.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15013163
Fresh000
Picked202
Done000
Total15213165
Accuracy
100.0%
Counts
165 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.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)
▶99.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.3%
(+.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)
99.6%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
▶99.2%
(+.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)
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)
▶0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
99.1%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
98.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.1%
(+.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)
▶99.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.3%
(+.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)
99.6%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
▶99.2%
(+.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)
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)
▶0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
99.1%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
Compiler

Compiled 1008 to 908 computations (9.9% saved)

localize674.0ms (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 372 to 246 computations (33.9% saved)

Precisions
Click to see histograms
Operation ival-sub, total time spent: 5.0ms
Operation ival-sqrt, total time spent: 88.0ms
Operation ival-pi, total time spent: 2.0ms
Operation ival-neg, total time spent: 1.0ms
Operation ival-mult, total time spent: 153.0ms
Operation ival-log1p, total time spent: 52.0ms
Operation ival-log, total time spent: 7.0ms
Operation ival-expm1, total time spent: 11.0ms
Operation ival-exp, total time spent: 16.0ms
Operation ival-cos, total time spent: 28.0ms
Operation ival-add, total time spent: 14.0ms
Operation const, total time spent: 17.0ms

series0.0ms (0%)

Counts
4 → 0

rewrite121.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1294×prod-diff
922×log-prod
737×log1p-expm1-u
737×expm1-log1p-u
564×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0312
12412
223412
3238012
Stop Event
1×node limit
Counts
4 → 252
Calls
Call 1
Inputs
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
Outputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
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(*.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) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.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 (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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (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 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.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)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

simplify106.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1654×log-prod
1012×associate-+l+
978×associate-+r+
514×unswap-sqr
446×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01603204
13593044
214152980
369032980
Stop Event
1×node limit
Counts
252 → 85
Calls
Call 1
Inputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (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)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.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) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.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 (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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (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 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.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)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (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)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.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) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.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 (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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (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 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.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)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (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)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.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) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.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 (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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (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 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.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)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.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 2 (*.f64 1/2 (PI.f64)))
(*.f64 1/3 (*.f64 3 (PI.f64)))
(*.f64 3 (*.f64 1/3 (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)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.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) 1/6) (*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (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 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(*.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 (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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (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 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.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 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.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)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
Outputs
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (*.f64 2 (*.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (*.f64 1/3 (PI.f64)) (*.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (*.f64 1/2 (PI.f64)) (*.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(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 2 (*.f64 1/2 (PI.f64)))
(PI.f64)
(*.f64 1/3 (*.f64 3 (PI.f64)))
(PI.f64)
(*.f64 3 (*.f64 1/3 (PI.f64)))
(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 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.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 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.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 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/6) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(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) (*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.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 (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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.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) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.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 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.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 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.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 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (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)
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(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
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(PI.f64)
(*.f64 1 (PI.f64))
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(*.f64 (log.f64 (E.f64)) (PI.f64))
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(*.f64 (cbrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.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)))
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(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.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 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.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) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.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 (cbrt.f64 (PI.f64)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(*.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 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
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(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
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(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (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)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)

eval164.0ms (1.5%)

Compiler

Compiled 8576 to 6228 computations (27.4% saved)

prune79.0ms (0.7%)

Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New3400340
Fresh088
Picked055
Done000
Total34013353
Accuracy
100.0%
Counts
353 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.1%
(+.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)
✓99.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.3%
(+.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)
▶99.6%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓99.2%
(+.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)
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)
✓0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
▶99.1%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
98.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.1%
(+.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)
✓99.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.3%
(+.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)
▶99.6%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓99.2%
(+.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)
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)
✓0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
▶99.1%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
Compiler

Compiled 828 to 746 computations (9.9% saved)

localize889.0ms (7.9%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 (PI.f64) u2)
✓99.4%
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
✓99.2%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
✓98.8%
(pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3)
99.7%
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.4%
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
✓99.1%
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.4%
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
✓99.4%
(*.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
✓99.1%
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
✓99.9%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
99.7%
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓99.6%
(*.f64 (PI.f64) u2)
✓99.4%
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
✓99.9%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.8%
(sqrt.f64 (neg.f64 (log.f64 u1)))
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.6%
(*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
Compiler

Compiled 433 to 284 computations (34.4% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 81.0ms
Operation ival-pow, total time spent: 45.0ms
Operation ival-pi, total time spent: 2.0ms
Operation ival-neg, total time spent: 1.0ms
Operation ival-mult, total time spent: 179.0ms
Operation ival-log, total time spent: 6.0ms
Operation ival-fma, total time spent: 11.0ms
Operation ival-div, total time spent: 8.0ms
Operation ival-cos, total time spent: 40.0ms
Operation ival-cbrt, total time spent: 11.0ms
Operation ival-add, total time spent: 6.0ms
Operation const, total time spent: 22.0ms

series179.0ms (1.6%)

Counts
15 → 252
Calls

63 calls:

TimeVariablePointExpression
62.0ms
u1
@-inf
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
25.0ms
u1
@0
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
18.0ms
u1
@0
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
16.0ms
u1
@inf
(pow.f64 (*.f64 (log.f64 u1) -2) 3/2)
15.0ms
u1
@inf
(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)

rewrite255.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
888×expm1-udef
620×associate-*r*
438×associate-*l*
280×cbrt-prod
274×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049536
1728480
27824480
Stop Event
1×node limit
Counts
15 → 377
Calls
Call 1
Inputs
(*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(*.f64 (PI.f64) u2)
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 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 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
(fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(*.f64 (PI.f64) u2)
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 1)
(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 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 2)
(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 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 3))
(cbrt.f64 (*.f64 (*.f64 1/108 (sqrt.f64 2)) (pow.f64 (log.f64 u1) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 1/108 (sqrt.f64 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 (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 (sqrt.f64 (log.f64 u1)))) 1)
(*.f64 (sqrt.f64 (log.f64 u1)) 1)
(*.f64 1 (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(pow.f64 (log.f64 u1) 1/2)
(pow.f64 (sqrt.f64 (log.f64 u1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)
(pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)
(pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)
(fabs.f64 (sqrt.f64 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 u1)))))
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))
(exp.f64 (*.f64 (log.f64 (log.f64 u1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 u1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2)))
(*.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 1)
(*.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))
(*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(*.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 3) 1/8) (/.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))))))
(*.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2)))
(/.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 3) 1/8)))
(/.f64 1 (/.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2) (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) -1/4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 3) 1/8) (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 3) 1/8) (+.f64 1/4 (-.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) -1/4) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 3) 1/8)) (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18)) -1/4)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) -1/2)))
(/.f64 (-.f64 1/4 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18))) (-.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))))
(pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 1)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(fma.f64 (sqrt.f64 1/18) (*.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)
(fma.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2)
(fma.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 2) (*.f64 (log.f64 u1) 1/18))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) 1/2)
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))) 1)
(pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 2)
(sqrt.f64 (*.f64 (log.f64 (pow.f64 u1 -2)) (pow.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))))
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(sqrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2))
(log.f64 (pow.f64 (exp.f64 u2) (PI.f64)))
(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)))

simplify380.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
788×*-commutative
752×sqr-pow
594×log-prod
462×fma-def
422×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073035633
1178534143
2491833957
Stop Event
1×node limit
Counts
629 → 475
Calls
Call 1
Inputs
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (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)))) (*.f64 (sqrt.f64 -1) (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 -1) (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 -1) (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 -1) (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 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (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 -1) (sqrt.f64 2))) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))))
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(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (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)))) (*.f64 (sqrt.f64 -1) (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)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 u2 4) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))))))
(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 -2/135 (*.f64 (*.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 1/9 (*.f64 (*.f64 (pow.f64 u2 4) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (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 -1) (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 -1) (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 -1) (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 -1) (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 -1) (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 -1) (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 -1) (sqrt.f64 2))) (sqrt.f64 (log.f64 u1)))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.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 1/6 (*.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 1/6 (*.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 1/6 (*.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 1/6 (*.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 1/6 (*.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 1/6 (*.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 1/6 (*.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 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -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 (*.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 (*.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 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(*.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 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)))))
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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 (+.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 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)))))
(+.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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(cbrt.f64 (pow.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3)) 1/3))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 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 u2) (PI.f64)))
(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)))
Outputs
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))
(*.f64 (*.f64 -1 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (pow.f64 (sqrt.f64 -1) 2))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(fma.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(fma.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(fma.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
(fma.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (neg.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (neg.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (neg.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 2) (neg.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -1) (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 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))) (*.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))))
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))) 1/2)
(fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)) 1/2)
(+.f64 1/2 (+.f64 (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 2)))) (sqrt.f64 (log.f64 u1)))) (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 2))))))
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(fma.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)) 1))
(fma.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2) 3)) 1/3))
(fma.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2))) 1/2)))
(fma.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) u2))) 1)
(*.f64 u2 (PI.f64))
(pow.f64 (*.f64 (PI.f64) u2) 1)
(*.f64 u2 (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) u2)) 3)
(*.f64 u2 (PI.f64))
(pow.f64 (pow.f64 (*.f64 (PI.f64) u2) 3) 1/3)
(*.f64 u2 (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) u2)) 2)
(*.f64 u2 (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 2))
(*.f64 u2 (PI.f64))
(log.f64 (pow.f64 (exp.f64 u2) (PI.f64)))
(*.f64 u2 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) u2))))
(*.f64 u2 (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) u2) 3))
(*.f64 u2 (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))
(*.f64 u2 (PI.f64))
(cbrt.f64 (*.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))
(*.f64 u2 (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) u2)))
(*.f64 u2 (PI.f64))
(exp.f64 (log.f64 (*.f64 (PI.f64) u2)))
(*.f64 u2 (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) u2)) 1))
(*.f64 u2 (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) u2)))
(*.f64 u2 (PI.f64))

eval369.0ms (3.3%)

Compiler

Compiled 19189 to 14764 computations (23.1% saved)

prune106.0ms (0.9%)

Pruning

14 alts after pruning (4 fresh and 10 done)

PrunedKeptTotal
New7151716
Fresh033
Picked055
Done055
Total71514729
Accuracy
100.0%
Counts
729 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓99.1%
(+.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)
✓99.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.3%
(+.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)
✓99.6%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓99.2%
(+.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)
▶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)
✓0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
✓99.1%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
▶98.9%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.1%
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓99.1%
(+.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)
✓99.2%
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.3%
(+.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)
✓99.6%
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓99.2%
(+.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)
▶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)
✓0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
✓99.1%
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
Compiler

Compiled 546 to 492 computations (9.9% saved)

localize777.0ms (6.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.4%
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
✓99.3%
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
✓98.7%
(pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
✓99.9%
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)
99.6%
(*.f64 (PI.f64) u2)
✓99.4%
(*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
✓99.2%
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
✓99.9%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.7%
(sqrt.f64 (*.f64 (log.f64 u1) -2))
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.4%
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
99.6%
(*.f64 (*.f64 2 (PI.f64)) u2)
✓99.4%
(*.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))
✓98.7%
(pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
Compiler

Compiled 352 to 244 computations (30.7% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 55.0ms
Operation ival-pow, total time spent: 74.0ms
Operation ival-pi, total time spent: 2.0ms
Operation ival-mult, total time spent: 155.0ms
Operation ival-log, total time spent: 9.0ms
Operation ival-cos, total time spent: 164.0ms
Operation ival-cbrt, total time spent: 6.0ms
Operation ival-add, total time spent: 6.0ms
Operation const, total time spent: 19.0ms

series27.0ms (0.2%)

Counts
12 → 164
Calls

42 calls:

TimeVariablePointExpression
5.0ms
u1
@-inf
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
2.0ms
u1
@0
(cbrt.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
2.0ms
u1
@-inf
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
2.0ms
u1
@inf
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)
2.0ms
u1
@0
(pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3)

rewrite217.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
989×log1p-expm1-u
630×expm1-log1p-u
588×expm1-udef
588×log1p-udef
382×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038340
1524332
24780332
Stop Event
1×node limit
Counts
12 → 296
Calls
Call 1
Inputs
(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))))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)
(pow.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)
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))) 1)
(*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))
(*.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1)
(*.f64 1 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)
(*.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))))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2) (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) 3) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6)
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 1/46656 (pow.f64 (*.f64 -2 (log.f64 u1)) 3)))
(log.f64 (pow.f64 (exp.f64 1/216) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(exp.f64 (log.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1)
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)
(*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6))
(*.f64 1 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (pow.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/3))
(*.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (pow.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/3) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (pow.f64 1 1/3) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2) 1/3))
(*.f64 (cbrt.f64 1/216) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(*.f64 (*.f64 1/6 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(pow.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/3)
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(*.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (pow.f64 -2 1/4)) (pow.f64 (log.f64 u1) 1/4))
(*.f64 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(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 (*.f64 -2 (log.f64 u1))) 1/2))
(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 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))) 1)
(pow.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))) 3)
(pow.f64 (*.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))) 2)
(sqrt.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (pow.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2))))))))
(cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))))
(exp.f64 (log.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (PI.f64) (*.f64 u2 2)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))) 1)
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1)
(*.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (pow.f64 -2 1/4) (pow.f64 (log.f64 u1) 1/4))
(*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 -2 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/8) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/8))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/4) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/4))
(*.f64 (pow.f64 1 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4)) 1/4) (pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 1/4))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (sqrt.f64 (sqrt.f64 (log.f64 u1))) (sqrt.f64 (sqrt.f64 -2)))
(*.f64 (sqrt.f64 (sqrt.f64 -2)) (sqrt.f64 (sqrt.f64 (log.f64 u1))))
(sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(fabs.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(log.f64 (exp.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(exp.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))) 1)
(*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))
(*.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1)
(*.f64 1 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/216)
(*.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))))) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2) (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) 3) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3) (pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6)
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (*.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 1/46656 (pow.f64 (*.f64 -2 (log.f64 u1)) 3)))
(log.f64 (pow.f64 (exp.f64 1/216) (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))))
(cbrt.f64 (pow.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(exp.f64 (log.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1)
(*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)
(*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 1/6))
(*.f64 1 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(*.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (pow.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/3))
(*.f64 (cbrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (pow.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36) 1/3) (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 (pow.f64 1 1/3) (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3/2) 1/3))
(*.f64 (cbrt.f64 1/216) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(*.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (*.f64 1/6 (cbrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 (*.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(*.f64 (*.f64 1/6 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(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 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(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 (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 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (*.f64 1/46656 (pow.f64 (*.f64 -2 (log.f64 u1)) 3)) 1/6)
(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 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(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))))))

simplify350.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
1392×fma-def
952×associate-*r*
822×associate-*l*
604×log-prod
520×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044319506
1101618656
2374318270
Stop Event
1×node limit
Counts
460 → 316
Calls
Call 1
Inputs
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.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))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
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(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 (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 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (*.f64 1/46656 (pow.f64 (*.f64 -2 (log.f64 u1)) 3)) 1/6)
(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 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(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))))))
Outputs
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 (*.f64 1/216 (sqrt.f64 (pow.f64 (log.f64 u1) 3))) (pow.f64 (sqrt.f64 -2) 3))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 (*.f64 1/216 (sqrt.f64 (pow.f64 (log.f64 u1) 3))) (pow.f64 (sqrt.f64 -2) 3))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 (*.f64 1/216 (sqrt.f64 (pow.f64 (log.f64 u1) 3))) (pow.f64 (sqrt.f64 -2) 3))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (pow.f64 (sqrt.f64 -2) 3)))
(*.f64 (*.f64 1/216 (sqrt.f64 (pow.f64 (log.f64 u1) 3))) (pow.f64 (sqrt.f64 -2) 3))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (*.f64 -2 (sqrt.f64 -2)) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)))))
(*.f64 (*.f64 (pow.f64 -2 3/2) (neg.f64 (sqrt.f64 -1))) (*.f64 1/216 (pow.f64 (neg.f64 (log.f64 u1)) 3/2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (*.f64 -2 (sqrt.f64 -2)) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)))))
(*.f64 (*.f64 (pow.f64 -2 3/2) (neg.f64 (sqrt.f64 -1))) (*.f64 1/216 (pow.f64 (neg.f64 (log.f64 u1)) 3/2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (*.f64 -2 (sqrt.f64 -2)) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)))))
(*.f64 (*.f64 (pow.f64 -2 3/2) (neg.f64 (sqrt.f64 -1))) (*.f64 1/216 (pow.f64 (neg.f64 (log.f64 u1)) 3/2)))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (*.f64 (pow.f64 (sqrt.f64 -2) 3) (pow.f64 (sqrt.f64 -1) 3))))
(*.f64 1/216 (*.f64 (*.f64 -2 (sqrt.f64 -2)) (*.f64 (*.f64 -1 (sqrt.f64 -1)) (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)))))
(*.f64 (*.f64 (pow.f64 -2 3/2) (neg.f64 (sqrt.f64 -1))) (*.f64 1/216 (pow.f64 (neg.f64 (log.f64 u1)) 3/2)))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 (*.f64 1/216 (pow.f64 (sqrt.f64 -2) 3)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))) 3)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 (*.f64 1/216 (pow.f64 (sqrt.f64 -2) 3)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))) 3)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 (*.f64 1/216 (pow.f64 (sqrt.f64 -2) 3)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))) 3)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 1/216 (*.f64 (pow.f64 (sqrt.f64 -2) 3) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))) 3))))
(*.f64 (*.f64 1/216 (pow.f64 (sqrt.f64 -2) 3)) (sqrt.f64 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))) 3)))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3)) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))) 3/2) (*.f64 -1/108 (sqrt.f64 -2)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 (sqrt.f64 -2) (cbrt.f64 1/216)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 (sqrt.f64 -2) (cbrt.f64 1/216)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 (sqrt.f64 -2) (cbrt.f64 1/216)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (log.f64 u1))))
(*.f64 (*.f64 (sqrt.f64 -2) (cbrt.f64 1/216)) (sqrt.f64 (log.f64 u1)))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (cbrt.f64 1/216) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (cbrt.f64 1/216) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (cbrt.f64 1/216) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (cbrt.f64 1/216) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 (*.f64 (cbrt.f64 1/216) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1))))))
(*.f64 (cbrt.f64 1/216) (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (sqrt.f64 -2) (*.f64 (cbrt.f64 1/216) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))))
(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 -2) 1/6) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/6))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 -2) 1/6) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/6))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 -2) 1/6) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/6))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 u1)))))))
(*.f64 (*.f64 (sqrt.f64 -2) 1/6) (sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 u1))))))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/6))
(*.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(*.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -2) 1/6))
(*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
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(pow.f64 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2)
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(sqrt.f64 (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))
(sqrt.f64 (*.f64 (*.f64 (log.f64 u1) -2) 1/36))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2)))
(cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(exp.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))

eval355.0ms (3.1%)

Compiler

Compiled 13077 to 10105 computations (22.7% saved)

prune82.0ms (0.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5562558
Fresh000
Picked314
Done6410
Total5657572
Accuracy
100.0%
Counts
572 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(+.f64 (*.f64 (pow.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)) 1/6) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
99.0%
(+.f64 (*.f64 (*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.5%
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.4%
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.7%
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓99.4%
(+.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
✓0.0%
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
Compiler

Compiled 439 to 354 computations (19.4% saved)

regimes117.0ms (1%)

Counts
18 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 1/6 (*.f64 (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 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -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)
(fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 u2)))) 1/2)
(+.f64 (*.f64 (pow.f64 (*.f64 -1/5832 (pow.f64 (log.f64 u1) 3)) 1/6) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 2))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (*.f64 (pow.f64 1/216 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (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)
(+.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 (sqrt.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2) 3))
Outputs
(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
Calls

10 calls:

18.0ms
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
14.0ms
u2
11.0ms
(+.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)
11.0ms
(*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
11.0ms
(log.f64 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 407 to 323 computations (20.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
(log.f64 u1)
3.0ms
u2
3.0ms
u1
Results
AccuracySegmentsBranch
0.0%1u1
0.0%1u2
0.0%1(log.f64 u1)
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02785
13585
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(+.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 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
Outputs
(+.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 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
Compiler

Compiled 28 to 25 computations (10.7% saved)

soundness963.0ms (8.5%)

Rules
1880×prod-diff
1066×unswap-sqr
1066×unswap-sqr
988×fma-def
988×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032202
1396202
24202202
028713197
166812617
2234612415
028713197
166812617
2234612415
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 347 to 277 computations (20.2% saved)

end0.0ms (0%)

preprocess40.0ms (0.4%)

Remove

(abs u2)

Compiler

Compiled 190 to 166 computations (12.6% saved)

Profiling

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