Migdal et al, Equation (64)

Details

Time bar (total: 20.1s)

analyze1.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.8s (19%)

Results
1.0s3093×body256valid
837.0ms1050×body1024valid
748.0ms906×body1024infinite
667.0ms2277×body256infinite
313.0ms497×body512valid
213.0ms432×body512infinite
1.0ms1×body2048valid
Bogosity

preprocess56.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
192×fma-def
132×*-commutative
114×associate-/l*
48×associate-*r*
48×distribute-rgt-out
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027156
172140
2162140
3245140
4323140
5371140
6419140
7479140
8485140
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (*.f64 th th) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 a1) (fma.f64 th th (*.f64 a2 a2))) (sqrt.f64 2))
(/.f64 (cos.f64 a1) (/.f64 (sqrt.f64 2) (fma.f64 th th (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 th th (*.f64 a1 a1)))
(*.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (*.f64 a1 a1)) (sqrt.f64 2)))
Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify33.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
64×fma-def
44×*-commutative
40×associate-/l*
18×associate-/r/
18×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
26135
39135
411835
513635
615435
717435
817635
Stop Event
1×saturated
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))

eval2.0ms (0%)

Compiler

Compiled 59 to 29 computations (50.8% saved)

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New224
Fresh101
Picked000
Done000
Total325
Accurracy
99.7%
Counts
5 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
▶99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize236.0ms (1.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.9%
(/.f64 (cos.f64 th) (sqrt.f64 2))
✓99.8%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
✓99.6%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Compiler

Compiled 81 to 29 computations (64.2% saved)

series33.0ms (0.2%)

Counts
4 → 100
Calls

27 calls:

TimeVariablePointExpression
4.0ms
a2
@inf
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
3.0ms
th
@inf
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
3.0ms
a1
@-inf
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
2.0ms
th
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
a1
@0
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))

rewrite206.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1874×prod-diff
636×fma-def
600×expm1-udef
598×log1p-udef
356×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018110
1386104
24783104
Stop Event
1×node limit
Counts
4 → 238
Calls
Call 1
Inputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1) (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 3) (pow.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)) (fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (-.f64 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (neg.f64 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (exp.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(+.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
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(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
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(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
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(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (exp.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))

simplify292.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1562×fma-def
652×associate-*r*
614×associate-*l*
560×log-prod
496×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041716574
1108614068
2430414036
Stop Event
1×node limit
Counts
338 → 246
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
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(fma.f64 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4))))) (fma.f64 -1/720 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (fma.f64 -1/720 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
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(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 a1 (*.f64 (*.f64 a1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2)) (sqrt.f64 2))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))

eval174.0ms (0.9%)

Compiler

Compiled 5229 to 3024 computations (42.2% saved)

prune131.0ms (0.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New23412246
Fresh000
Picked112
Done000
Total23513248
Accurracy
100.0%
Counts
248 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.1%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
55.5%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
55.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
▶56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
▶56.5%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
▶63.1%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
55.5%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
55.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
▶56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
▶56.5%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Compiler

Compiled 700 to 522 computations (25.4% saved)

localize478.0ms (2.4%)

Local Accuracy

Found 11 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓98.9%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓99.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
✓99.8%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓99.3%
(/.f64 (sqrt.f64 2) a2)
✓99.8%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
✓99.7%
(/.f64 (sqrt.f64 2) (cos.f64 th))
✓99.5%
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓99.6%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
✓99.7%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.7%
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
Compiler

Compiled 154 to 68 computations (55.8% saved)

series43.0ms (0.2%)

Counts
11 → 196
Calls

54 calls:

TimeVariablePointExpression
9.0ms
th
@inf
(/.f64 (sqrt.f64 2) (cos.f64 th))
2.0ms
a2
@0
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
1.0ms
th
@inf
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
1.0ms
th
@-inf
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
1.0ms
th
@inf
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))

rewrite317.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
888×expm1-udef
548×add-sqr-sqrt
536×pow1
534×*-un-lft-identity
508×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025241
1564233
27967233
Stop Event
1×node limit
Counts
11 → 499
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(/.f64 (sqrt.f64 1/2) (/.f64 1 (cos.f64 th)))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (/.f64 (cos.f64 th) 1) (sqrt.f64 2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(exp.f64 (neg.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (-.f64 (log.f64 (cos.f64 th)) (log.f64 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1) (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2))
(*.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(*.f64 1 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
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(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (*.f64 a2 a2) 1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(*.f64 (*.f64 a2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (*.f64 a2 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))) (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (/.f64 1 (/.f64 2 (pow.f64 a2 4))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(*.f64 (*.f64 (cos.f64 th) (/.f64 1 (/.f64 (pow.f64 2 1/4) a2))) (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 -2))))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 a2 6)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))) 1))
(exp.f64 (+.f64 (*.f64 2 (log.f64 a2)) (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (/.f64 2 (pow.f64 a2 4))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (/.f64 1 a2) (cbrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 a2)) (/.f64 (/.f64 1 a2) (sqrt.f64 a2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))

simplify395.0ms (2%)

Algorithm
1×egg-herbie
Rules
1064×associate-/l*
976×associate-*r/
814×associate-*l/
662×times-frac
632×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096320797
1247920097
Stop Event
1×node limit
Counts
695 → 605
Calls
Call 1
Inputs
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(*.f64 (/.f64 (cos.f64 th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (*.f64 a2 a2) 1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(*.f64 (*.f64 a2 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (*.f64 a2 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))) (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (/.f64 1 (/.f64 2 (pow.f64 a2 4))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(*.f64 (*.f64 (cos.f64 th) (/.f64 1 (/.f64 (pow.f64 2 1/4) a2))) (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a2) (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 -2))))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 a2 6)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))) 1))
(exp.f64 (+.f64 (*.f64 2 (log.f64 a2)) (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (/.f64 2 (pow.f64 a2 4))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (/.f64 1 a2) (cbrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 a2)) (/.f64 (/.f64 1 a2) (sqrt.f64 a2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) -1)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
Outputs
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (+.f64 (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (sqrt.f64 1/2)) (*.f64 (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (fma.f64 a2 a2 (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (sqrt.f64 1/2)) (*.f64 (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 6) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (fma.f64 a2 a2 (*.f64 a1 a1)))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 6) (fma.f64 a2 a2 (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (sqrt.f64 1/2)) (*.f64 (*.f64 th th) (fma.f64 a2 a2 (*.f64 a1 a1)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
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(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 1)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))) 3)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3) 1/3)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) 2)
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) -1)
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 a2 -2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (*.f64 1/2 (pow.f64 a2 4))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) 3))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 a2 6)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (pow.f64 a2 6) (*.f64 1/2 (sqrt.f64 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (pow.f64 a2 6) (*.f64 1/2 (sqrt.f64 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (sqrt.f64 2) 3)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))) 1))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (+.f64 (*.f64 2 (log.f64 a2)) (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (/.f64 2 (pow.f64 a2 4))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(*.f64 (pow.f64 2 1/2) (pow.f64 a2 -2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(*.f64 (pow.f64 2 1/2) (pow.f64 a2 -2))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (pow.f64 a2 4)))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (/.f64 1 a2) (cbrt.f64 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) a2) (/.f64 (cbrt.f64 2) a2))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) a2) (/.f64 (cbrt.f64 2) a2))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(*.f64 (pow.f64 2 1/2) (pow.f64 a2 -2))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))))
(/.f64 (/.f64 (pow.f64 2 1/2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (pow.f64 a2 4)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 a2 -2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 a2)) (/.f64 (/.f64 1 a2) (sqrt.f64 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) -1)
(/.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(/.f64 (/.f64 1 a2) (*.f64 a2 (sqrt.f64 1/2)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3) 1/3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(*.f64 (pow.f64 2 1/2) (pow.f64 a2 -2))
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 3))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 a2 6) (sqrt.f64 2))))
(cbrt.f64 (*.f64 (/.f64 2 (pow.f64 a2 6)) (sqrt.f64 2)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) (pow.f64 a2 3)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))) 1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))

eval400.0ms (2%)

Compiler

Compiled 9573 to 5971 computations (37.6% saved)

prune245.0ms (1.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New5969605
Fresh347
Picked325
Done101
Total60315618
Accurracy
100.0%
Counts
618 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
▶38.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
36.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
38.0%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
55.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶55.5%
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
56.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
▶63.1%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
▶56.6%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
▶38.0%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
56.6%
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
▶38.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
36.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
38.0%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
55.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶55.5%
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
56.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
▶63.1%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
▶56.6%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
▶38.0%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
56.6%
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
Compiler

Compiled 640 to 480 computations (25% saved)

localize560.0ms (2.8%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
✓99.7%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓99.9%
(*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))
✓99.9%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
✓99.4%
(*.f64 a2 (sqrt.f64 1/2))
✓99.6%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓99.9%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓99.3%
(/.f64 a2 (sqrt.f64 2))
✓99.7%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 110 to 55 computations (50% saved)

series17.0ms (0.1%)

Counts
9 → 132
Calls

36 calls:

TimeVariablePointExpression
1.0ms
th
@-inf
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
1.0ms
th
@inf
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
1.0ms
th
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
1.0ms
a1
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
1.0ms
a2
@inf
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))

rewrite318.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
800×expm1-udef
796×log1p-udef
758×fma-def
466×add-sqr-sqrt
456×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023169
1489167
26106167
Stop Event
1×node limit
Counts
9 → 258
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
Outputs
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)) (fma.f64 1/2 (pow.f64 a1 4) (-.f64 (*.f64 (pow.f64 a2 4) 1/2) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(/.f64 (fma.f64 1/2 (pow.f64 a1 4) (neg.f64 (*.f64 (pow.f64 a2 4) 1/2))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)) (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)) (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 (sqrt.f64 1/2) a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 a2 (*.f64 (sqrt.f64 1/2) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (*.f64 (sqrt.f64 1/2) a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (*.f64 a2 a2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) a2)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (cbrt.f64 (*.f64 1/2 (pow.f64 a1 4))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 (pow.f64 1/2 1/4)) (*.f64 a2 (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 1/2) a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (pow.f64 1/2 1/4) (*.f64 (pow.f64 1/2 1/4) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 (pow.f64 1/2 1/4)) (*.f64 a1 (pow.f64 1/2 1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (pow.f64 1/2 1/4) a2) (*.f64 (pow.f64 1/2 1/4) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 (cbrt.f64 (*.f64 1/2 (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a2) (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (pow.f64 1/2 1/4)) (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a1) 1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a1) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) a1) (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a2 a2) 2))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) 1))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(/.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (neg.f64 (*.f64 a2 (neg.f64 a2))) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) 1/3)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(log.f64 (exp.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1)
(*.f64 1 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)) (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) a2))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) a2))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)))
(*.f64 (*.f64 a2 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2))) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 a2 (sqrt.f64 (/.f64 a2 (sqrt.f64 2)))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) 1/3)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(log.f64 (exp.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) a2) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 2)
(sqrt.f64 (*.f64 1/2 (*.f64 a2 a2)))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) a2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 1)
(pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 a2 (pow.f64 1/2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a1 6)))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 a1 (pow.f64 1/2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (*.f64 1/2 (pow.f64 a1 4)) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))

simplify248.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1410×log-prod
1026×associate-*r*
1020×associate-*l*
614×cube-prod
504×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05589798
114129528
256639514
Stop Event
1×node limit
Counts
390 → 333
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 6)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
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(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)))
(*.f64 (*.f64 a2 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2))) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 a2 (sqrt.f64 (/.f64 a2 (sqrt.f64 2)))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (sqrt.f64 a2)) (sqrt.f64 a2))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3) 1/3)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(log.f64 (exp.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) a2) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 2)
(sqrt.f64 (*.f64 1/2 (*.f64 a2 a2)))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) a2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 1)
(pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 a2 (pow.f64 1/2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3) (pow.f64 a2 3)))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a1 6)))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3) 1/3)
(pow.f64 (*.f64 (*.f64 a1 (pow.f64 1/2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (*.f64 1/2 (pow.f64 a1 4)) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 1/2)))

eval216.0ms (1.1%)

Compiler

Compiled 4526 to 3006 computations (33.6% saved)

prune187.0ms (0.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New3258333
Fresh178
Picked145
Done022
Total32721348
Accurracy
100.0%
Counts
348 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
✓38.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶36.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
38.0%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
37.7%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
56.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
✓63.1%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
55.5%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
38.0%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
▶36.8%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓56.6%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
38.0%
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
✓38.0%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
▶56.6%
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
▶37.9%
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
35.6%
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
33.8%
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
✓38.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶36.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
38.0%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
37.7%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
56.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
✓63.1%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
55.5%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
38.0%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
▶36.8%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓56.6%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
38.0%
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
✓38.0%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
▶56.6%
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
▶37.9%
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
35.6%
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
33.8%
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
Compiler

Compiled 798 to 616 computations (22.8% saved)

localize496.0ms (2.5%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
✓99.7%
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
✓99.4%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)
✓99.9%
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
✓99.4%
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓98.4%
(/.f64 1 (neg.f64 (sqrt.f64 2)))
✓99.6%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
99.7%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓99.7%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 1 (sqrt.f64 2))
Compiler

Compiled 126 to 74 computations (41.3% saved)

series11.0ms (0.1%)

Counts
9 → 112
Calls

30 calls:

TimeVariablePointExpression
1.0ms
th
@inf
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)
1.0ms
a2
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)
1.0ms
th
@-inf
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
1.0ms
th
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)
1.0ms
th
@-inf
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)

rewrite100.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
540×add-sqr-sqrt
526×pow1
526×*-un-lft-identity
494×add-exp-log
494×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026159
1551159
Stop Event
1×node limit
Counts
9 → 184
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 1 (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
Outputs
-2
-1
-1/2
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 -2 a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) -2)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 -2 (+.f64 a1 a2))
(/.f64 -2 (/.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) -2)
(pow.f64 (+.f64 a1 a2) 1/3)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(fma.f64 -2 a1 a2)
(fma.f64 -2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(log.f64 (/.f64 -2 (exp.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log1p.f64 a1))
(exp.f64 (log.f64 a1))
(exp.f64 (*.f64 (log.f64 a1) -2))
(log1p.f64 (expm1.f64 a1))
-2
-1
-1/2
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 a2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 a2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 a2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 a2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))

simplify249.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1768×fma-def
1070×associate-*r*
890×associate-*l*
638×fma-neg
604×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02694618
15374574
214224450
361354450
Stop Event
1×node limit
Counts
296 → 261
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) a2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) a2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (pow.f64 th 2)))) (+.f64 (*.f64 (sqrt.f64 1/2) a2) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (pow.f64 th 4))))))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (pow.f64 th 2)))) (+.f64 (*.f64 (sqrt.f64 1/2) a2) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (pow.f64 th 4)))) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (pow.f64 th 6)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 6)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
-2
-1
-1/2
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 -2 a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) -2)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 -2 (+.f64 a1 a2))
(/.f64 -2 (/.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) -2)
(pow.f64 (+.f64 a1 a2) 1/3)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(fma.f64 -2 a1 a2)
(fma.f64 -2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(log.f64 (/.f64 -2 (exp.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log1p.f64 a1))
(exp.f64 (log.f64 a1))
(exp.f64 (*.f64 (log.f64 a1) -2))
(log1p.f64 (expm1.f64 a1))
-2
-1
-1/2
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 a2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 a2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 a2)
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 a2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
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1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
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512
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1
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2
3
4
6
8
9
16
27
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(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(-.f64 (cos.f64 th) -2)
(+.f64 (cos.f64 th) 2)
(+.f64 2 (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 0)) -2)
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(cbrt.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(pow.f64 (cos.f64 th) -2)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))))
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (fabs.f64 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(*.f64 a2 (cos.f64 th))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))

eval113.0ms (0.6%)

Compiler

Compiled 2866 to 1468 computations (48.8% saved)

prune233.0ms (1.2%)

Pruning

42 alts after pruning (31 fresh and 11 done)

PrunedKeptTotal
New25126277
Fresh5510
Picked055
Done066
Total25642298
Accurracy
100.0%
Counts
298 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.5%
(fma.f64 a2 a2 a1)
36.8%
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
55.5%
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
✓38.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓36.8%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓56.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
36.8%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
37.7%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
2.6%
(-.f64 a1 a2)
✓63.1%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
44.4%
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
56.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
38.8%
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
✓63.1%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
55.5%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
✓36.8%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓56.6%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
55.5%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓56.6%
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
19.0%
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
✓38.0%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
4.2%
(*.f64 a2 (/.f64 a2 a2))
15.0%
(*.f64 a2 (/.f64 a2 -2))
29.0%
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
15.0%
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
✓56.6%
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
38.0%
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
✓37.9%
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
37.4%
(*.f64 a2 (*.f64 (cos.f64 th) a2))
15.0%
(*.f64 a2 (neg.f64 a2))
29.0%
(*.f64 a2 a2)
27.2%
(*.f64 a1 a1)
4.4%
(*.f64 a1 -2)
44.7%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
3.9%
(*.f64 1/2 (+.f64 a2 a1))
43.8%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
43.3%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
43.0%
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
42.5%
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.7%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.4%
(neg.f64 a1)
2.8%
a1
Compiler

Compiled 899 to 540 computations (39.9% saved)

regimes442.0ms (2.2%)

Counts
58 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Outputs
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

8 calls:

71.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
64.0ms
a1
57.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
56.0ms
a2
54.0ms
th
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 532 to 272 computations (48.9% saved)

regimes431.0ms (2.1%)

Counts
53 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

79.0ms
(*.f64 a2 a2)
65.0ms
a1
60.0ms
th
56.0ms
a2
49.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 433 to 219 computations (49.4% saved)

regimes1.2s (6%)

Counts
52 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
Outputs
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
Calls

7 calls:

363.0ms
(cos.f64 th)
303.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
245.0ms
th
84.0ms
a2
71.0ms
a1
Results
AccuracySegmentsBranch
88.9%2a1
88.0%2a2
82.5%6th
85.8%6(/.f64 (cos.f64 th) (sqrt.f64 2))
85.8%6(cos.f64 th)
83.7%2(*.f64 a1 a1)
85.4%2(*.f64 a2 a2)
Compiler

Compiled 420 to 215 computations (48.8% saved)

regimes114.0ms (0.6%)

Counts
50 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
Outputs
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
Calls

1 calls:

102.0ms
a1
Results
AccuracySegmentsBranch
88.9%2a1
Compiler

Compiled 369 to 183 computations (50.4% saved)

regimes101.0ms (0.5%)

Counts
44 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
Outputs
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
Calls

1 calls:

90.0ms
a1
Results
AccuracySegmentsBranch
88.9%2a1
Compiler

Compiled 315 to 158 computations (49.8% saved)

regimes391.0ms (1.9%)

Counts
43 → 3
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
Outputs
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

128.0ms
a1
82.0ms
(*.f64 a2 a2)
69.0ms
(cos.f64 th)
52.0ms
a2
49.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
81.6%3(cos.f64 th)
74.5%2(*.f64 a1 a1)
74.2%2(*.f64 a2 a2)
75.9%2a2
78.7%4a1
Compiler

Compiled 327 to 168 computations (48.6% saved)

regimes84.0ms (0.4%)

Counts
42 → 3
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Outputs
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

61.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
81.6%3(cos.f64 th)
Compiler

Compiled 298 to 149 computations (50% saved)

regimes54.0ms (0.3%)

Counts
40 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) a2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
Outputs
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

45.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
78.5%2(cos.f64 th)
Compiler

Compiled 280 to 139 computations (50.4% saved)

regimes451.0ms (2.2%)

Counts
32 → 3
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
Outputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(*.f64 a2 (*.f64 (cos.f64 th) a2))
Calls

6 calls:

140.0ms
th
79.0ms
(*.f64 a2 a2)
63.0ms
a1
62.0ms
(*.f64 a1 a1)
58.0ms
a2
Results
AccuracySegmentsBranch
64.7%5(*.f64 a2 a2)
57.2%7(*.f64 a1 a1)
59.1%4a1
64.8%3a2
52.8%5th
60.1%2(cos.f64 th)
Compiler

Compiled 225 to 111 computations (50.7% saved)

regimes50.0ms (0.2%)

Counts
29 → 3
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
Outputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (*.f64 (cos.f64 th) a2))
Calls

1 calls:

44.0ms
a2
Results
AccuracySegmentsBranch
64.8%3a2
Compiler

Compiled 174 to 77 computations (55.7% saved)

regimes123.0ms (0.6%)

Counts
23 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a2 (*.f64 (cos.f64 th) a2))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
Outputs
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

2 calls:

90.0ms
a2
29.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
60.1%2(cos.f64 th)
57.1%3a2
Compiler

Compiled 143 to 61 computations (57.3% saved)

regimes192.0ms (1%)

Counts
18 → 4
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

5 calls:

134.0ms
th
27.0ms
a1
12.0ms
a2
9.0ms
(*.f64 a2 a2)
7.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
50.8%4th
44.4%1(*.f64 a1 a1)
44.4%1a2
46.7%3a1
44.4%1(*.f64 a2 a2)
Compiler

Compiled 127 to 57 computations (55.1% saved)

regimes43.0ms (0.2%)

Counts
17 → 4
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

40.0ms
th
Results
AccuracySegmentsBranch
50.7%4th
Compiler

Compiled 98 to 41 computations (58.2% saved)

regimes48.0ms (0.2%)

Counts
16 → 4
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

45.0ms
th
Results
AccuracySegmentsBranch
50.7%4th
Compiler

Compiled 89 to 39 computations (56.2% saved)

regimes88.0ms (0.4%)

Counts
13 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
Calls

3 calls:

71.0ms
th
8.0ms
a2
6.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
44.4%1a2
44.4%1(*.f64 a1 a1)
46.9%3th
Compiler

Compiled 72 to 39 computations (45.8% saved)

regimes125.0ms (0.6%)

Counts
12 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 a2)
(-.f64 a1 a2)
(*.f64 a2 (neg.f64 a2))
(*.f64 1/2 (+.f64 a2 a1))
(*.f64 a2 (/.f64 a2 -2))
(*.f64 a2 (/.f64 a2 a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 a2 (/.f64 -2 a2)))
Outputs
(*.f64 a1 a1)
(*.f64 a2 a2)
Calls

5 calls:

52.0ms
th
27.0ms
a2
19.0ms
a1
14.0ms
(*.f64 a1 a1)
9.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
41.3%2a1
36.6%6th
42.0%2(*.f64 a2 a2)
42.4%2a2
41.1%2(*.f64 a1 a1)
Compiler

Compiled 75 to 45 computations (40% saved)

regimes19.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
Outputs
(*.f64 a1 a1)
Calls

4 calls:

5.0ms
th
5.0ms
a1
4.0ms
a2
3.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
27.2%1th
27.2%1(*.f64 a1 a1)
27.2%1a1
27.2%1a2
Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
Outputs
(*.f64 a1 -2)
Calls

3 calls:

7.0ms
a1
4.0ms
a2
4.0ms
th
Results
AccuracySegmentsBranch
4.4%1a2
4.4%1th
4.4%1a1
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
Outputs
(neg.f64 a1)
Calls

3 calls:

3.0ms
a2
3.0ms
a1
3.0ms
th
Results
AccuracySegmentsBranch
4.4%1a1
4.4%1a2
4.4%1th
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes18.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
a1
Outputs
a1
Calls

3 calls:

10.0ms
a1
3.0ms
a2
3.0ms
th
Results
AccuracySegmentsBranch
2.8%1th
2.8%1a2
2.8%1a1
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-8.36762300455453e-59
-1.6445231731696598e-60
Results
14.0ms31×body1024valid
8.0ms46×body256valid
3.0ms8×body1024infinite
3.0ms11×body512valid
2.0ms13×body256infinite
1.0ms3×body512infinite
Compiler

Compiled 210 to 160 computations (23.8% saved)

bsearch62.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
61.0ms
-8.36762300455453e-59
-1.6445231731696598e-60
Results
33.0ms11×body512valid
8.0ms47×body256valid
8.0ms17×body1024valid
5.0ms11×body1024infinite
4.0ms24×body256infinite
1.0ms2×body512infinite
Compiler

Compiled 210 to 160 computations (23.8% saved)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
-8.36762300455453e-59
-1.6445231731696598e-60
Results
9.0ms22×body1024valid
9.0ms53×body256valid
4.0ms13×body512valid
3.0ms17×body256infinite
2.0ms4×body1024infinite
1.0ms3×body512infinite
Compiler

Compiled 210 to 160 computations (23.8% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.969861934185994
0.9726871893120027
0.0ms
-0.4100811634928274
-0.38050520940546245
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.969861934185994
0.9726871893120027
0.0ms
-0.4100811634928274
-0.38050520940546245
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.03703829944285339
0.03786595624390454
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch127.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
5.902099428308261e+142
1.0562266151442831e+150
88.0ms
0.00019001382503817265
5.3216123569621425
Results
24.0ms139×body256valid
17.0ms41×body1024valid
8.0ms19×body1024infinite
7.0ms42×body256infinite
7.0ms22×body512valid
3.0ms9×body512infinite
Compiler

Compiled 402 to 300 computations (25.4% saved)

bsearch91.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
5.902099428308261e+142
1.0562266151442831e+150
39.0ms
0.00019001382503817265
5.3216123569621425
Results
32.0ms129×body256valid
30.0ms61×body1024valid
10.0ms32×body512valid
5.0ms28×body256infinite
4.0ms10×body1024infinite
4.0ms12×body512infinite
Compiler

Compiled 368 to 283 computations (23.1% saved)

bsearch45.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
-0.03703829944285339
0.03786595624390454
Results
40.0ms240×body256valid
Compiler

Compiled 417 to 290 computations (30.5% saved)

bsearch209.0ms (1%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
5.47718586738007e+289
1.2523562640772063e+290
140.0ms
7.263525187208044e+250
1.3628336321105679e+258
34.0ms
2.0518968538691982e+79
1.883344645669085e+81
Results
122.0ms106×body1024infinite
45.0ms106×body1024valid
18.0ms59×body512valid
13.0ms46×body512infinite
3.0ms19×body256valid
Compiler

Compiled 560 to 377 computations (32.7% saved)

bsearch135.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
5.47718586738007e+289
1.2523562640772063e+290
65.0ms
7.263525187208044e+250
1.3628336321105679e+258
35.0ms
2.0518968538691982e+79
1.883344645669085e+81
Results
48.0ms108×body1024valid
43.0ms99×body1024infinite
17.0ms55×body512valid
15.0ms50×body512infinite
4.0ms24×body256valid
Compiler

Compiled 560 to 377 computations (32.7% saved)

bsearch189.0ms (0.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
5.47718586738007e+289
1.2523562640772063e+290
113.0ms
7.263525187208044e+250
1.3628336321105679e+258
36.0ms
2.0518968538691982e+79
1.883344645669085e+81
Results
108.0ms117×body1024infinite
38.0ms89×body1024valid
19.0ms60×body512valid
14.0ms46×body512infinite
4.0ms24×body256valid
Compiler

Compiled 532 to 335 computations (37% saved)

bsearch59.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
58.0ms
0.00019001382503817265
5.3216123569621425
Results
28.0ms5×body1024infinite
12.0ms68×body256valid
8.0ms19×body1024valid
4.0ms13×body512valid
3.0ms18×body256infinite
1.0ms5×body512infinite
Compiler

Compiled 140 to 100 computations (28.6% saved)

simplify72.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
44×*-commutative
8×if-if-or-not
6×+-commutative
6×if-not
4×not-or
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01101122
11441110
21491110
31531106
41541106
51571106
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a1 -2487720667207965/226156424291633194186662080095093570025917938800079226639565593765455331328) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -289762918623655/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(if (<=.f64 (cos.f64 th) -3602879701896397/9007199254740992) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 (cos.f64 th) 4368491638549381/4503599627370496) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) -3602879701896397/9007199254740992) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 (cos.f64 th) 4368491638549381/4503599627370496) (*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) -5764607523034235/288230376151711744) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 a2 6530219459687219/4503599627370496) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (if (<=.f64 a2 1049999999999999988962860034754329451968323613331891412166240059253280871332490001883104283464506251138225297201529375222126904026096048314827562549248) (*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2))) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 6456360425798343/18446744073709551616) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (if (<=.f64 a2 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (*.f64 a2 (*.f64 (sqrt.f64 1/2) a2)) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712) (*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712) (*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(if (<=.f64 a2 1080863910568919/36028797018963968) (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
(*.f64 a1 -2)
(neg.f64 a1)
a1
Outputs
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(if (<=.f64 a1 -2487720667207965/226156424291633194186662080095093570025917938800079226639565593765455331328) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -289762918623655/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a1 -8820100547373695/113078212145816597093331040047546785012958969400039613319782796882727665664) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(if (<=.f64 (cos.f64 th) -3602879701896397/9007199254740992) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 (cos.f64 th) 4368491638549381/4503599627370496) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) -3602879701896397/9007199254740992) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 (cos.f64 th) 4368491638549381/4503599627370496) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))))
(if (<=.f64 (cos.f64 th) -3602879701896397/9007199254740992) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 (cos.f64 th) 4368491638549381/4503599627370496) (*.f64 a2 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) -3602879701896397/9007199254740992) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 (cos.f64 th) 4368491638549381/4503599627370496) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))))
(if (<=.f64 (cos.f64 th) -5764607523034235/288230376151711744) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) -5764607523034235/288230376151711744) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(if (<=.f64 a2 6530219459687219/4503599627370496) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (if (<=.f64 a2 1049999999999999988962860034754329451968323613331891412166240059253280871332490001883104283464506251138225297201529375222126904026096048314827562549248) (*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2))) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 6530219459687219/4503599627370496) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (if (<=.f64 a2 1049999999999999988962860034754329451968323613331891412166240059253280871332490001883104283464506251138225297201529375222126904026096048314827562549248) (*.f64 a2 (sqrt.f64 (/.f64 (*.f64 a2 a2) 2))) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 6456360425798343/18446744073709551616) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (if (<=.f64 a2 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (*.f64 a2 (*.f64 (sqrt.f64 1/2) a2)) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 6456360425798343/18446744073709551616) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (if (<=.f64 a2 999999999999999980835596172437374590573120014030318793091164810154100112203678582976298268616221151962702060266176005440567032331208403948233373515776) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (*.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712) (*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (or (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (not (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/4)))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712) (*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (or (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (not (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/8)))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (or (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (not (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (or (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (not (or (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720) (not (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712))))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (or (<=.f64 th 149999999999999993457896567777726746186226871542399193716254503645915184980033536) (and (not (<=.f64 th 260000000000000009500195182256504619271489448021735182782537655353828314777252473474498522084385916408101449402353496218403880523896768221091210284048689989734084291688057070330559718349123324181599185664960776017732929196445831613249851733437701653790720)) (<=.f64 th 67999999999999997273030601393575151326229288287718300601247922015987294769091060653672488032719528072131254804001112596027291678475253176935277912135951441566631690924788457432965680751233913250148153964510820356397269880859748010105436325727688833997614320046358382780860399083538677235712))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(if (<=.f64 a2 1080863910568919/36028797018963968) (*.f64 a1 a1) (*.f64 a2 a2))
(*.f64 a1 a1)
(*.f64 a1 -2)
(neg.f64 a1)
a1
Compiler

Compiled 461 to 283 computations (38.6% saved)

soundness5.1s (25.3%)

Rules
1874×prod-diff
1768×fma-def
1768×fma-def
1768×fma-def
1768×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
26135
39135
411835
513635
615435
717435
817635
018110
1386104
24783104
01539
13035
26135
39135
411835
513635
615435
717435
817635
041716574
1108614068
2430414036
096320797
1247920097
026159
1551159
02694618
15374574
214224450
361354450
026159
1551159
02694618
15374574
214224450
361354450
026159
1551159
02694618
15374574
214224450
361354450
026159
1551159
041716574
1108614068
2430414036
023169
1489167
26106167
026159
1551159
02694618
15374574
214224450
361354450
026159
1551159
02694618
15374574
214224450
361354450
026159
1551159
026159
1551159
026159
1551159
026159
1551159
05589798
114129528
256639514
025241
1564233
27967233
096320797
1247920097
026159
1551159
02694618
15374574
214224450
361354450
023169
1489167
26106167
096320797
1247920097
041716574
1108614068
2430414036
041716574
1108614068
2430414036
041716574
1108614068
2430414036
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
1×node limit
1×saturated
Compiler

Compiled 897 to 558 computations (37.8% saved)

end309.0ms (1.5%)

Remove

(sort a1 a2)

Compiler

Compiled 886 to 408 computations (54% saved)

Profiling

Loading profile data...