Migdal et al, Equation (64)

Time bar (total: 13.5s)

analyze0.0ms (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)

sample2.0s (15%)

Results
546.0ms3002×body256valid
424.0ms1093×body1024valid
380.0ms955×body1024infinite
346.0ms2236×body256infinite
135.0ms495×body512valid
121.0ms472×body512infinite
2.0ms3×body2048valid
Bogosity

preprocess26.0ms (0.2%)

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)

simplify16.0ms (0.1%)

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)))

eval1.0ms (0%)

Compiler

Compiled 59 to 29 computations (50.8% saved)

prune2.0ms (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)))
▶99.7%
(*.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)))
▶99.7%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize121.0ms (0.9%)

Local Accuracy

Found 5 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))
✓100.0%
(fma.f64 a1 a1 (*.f64 a2 a2))
✓99.8%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
✓99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Compiler

Compiled 81 to 29 computations (64.2% saved)

series16.0ms (0.1%)

Counts
5 → 124
Calls

33 calls:

TimeVariablePointExpression
2.0ms
th
@-inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
a2
@inf
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
1.0ms
th
@inf
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
1.0ms
a1
@0
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
1.0ms
a1
@0
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))

rewrite110.0ms (0.8%)

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
018125
1386117
24783117
Stop Event
1×node limit
Counts
5 → 275
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)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(/.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)))))
(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))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2))
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(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
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(/.f64 1 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (+.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)))
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(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(pow.f64 (hypot.f64 a1 a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a2) a2) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (pow.f64 (exp.f64 a2) a2)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1))
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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))))
(/.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)))))
(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))

simplify169.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1880×fma-def
816×log-prod
800×associate-*r*
754×associate-*l*
620×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048817745
1123715341
2543615309
Stop Event
1×node limit
Counts
399 → 282
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)))
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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))))
(/.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)))))
(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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.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 (*.f64 a1 a1) (sqrt.f64 2)))
(+.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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(/.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)))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(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))
(+.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 (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)))))
(+.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 (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))
(+.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 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)))))
(+.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 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))
(+.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 (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)))))
(+.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 (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))
(+.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) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))))
(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 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))
(fma.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(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 (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 (*.f64 (cos.f64 th) a2) (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 (*.f64 a1 a1) (*.f64 (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) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (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) (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 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2)) (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 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 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))))

eval99.0ms (0.7%)

Compiler

Compiled 5829 to 3389 computations (41.9% saved)

prune65.0ms (0.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New26913282
Fresh000
Picked112
Done000
Total27014284
Accurracy
100.0%
Counts
284 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶52.6%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
▶64.3%
(*.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)))
▶99.3%
(*.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)))
▶52.6%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
99.6%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
79.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
60.0%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
▶99.6%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶52.6%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
▶64.3%
(*.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)))
▶99.3%
(*.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)))
▶52.6%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
99.6%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
79.9%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
60.0%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Compiler

Compiled 800 to 598 computations (25.3% saved)

localize318.0ms (2.4%)

Local Accuracy

Found 12 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.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)))
✓99.0%
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
✓99.0%
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
✓98.4%
(/.f64 1 (pow.f64 2 1/4))
✓99.7%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓99.6%
(/.f64 (sqrt.f64 2) (cos.f64 th))
✓99.8%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
✓99.7%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓99.6%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 1 (sqrt.f64 2))
✓99.7%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓99.6%
(/.f64 (sqrt.f64 2) (cos.f64 th))
Compiler

Compiled 189 to 88 computations (53.4% saved)

series134.0ms (1%)

Counts
12 → 188
Calls

51 calls:

TimeVariablePointExpression
73.0ms
th
@inf
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
44.0ms
th
@0
(*.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)))
2.0ms
th
@inf
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
1.0ms
th
@0
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
1.0ms
th
@-inf
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))

rewrite109.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
576×add-sqr-sqrt
562×pow1
560×*-un-lft-identity
536×add-exp-log
536×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028260
1630234
Stop Event
1×node limit
Counts
12 → 501
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.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 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (pow.f64 2 1/4))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
(*.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)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
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(log.f64 (pow.f64 (exp.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)))

simplify183.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1384×times-frac
824×fma-def
696×unswap-sqr
576×*-commutative
404×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0100523639
1284622217
Stop Event
1×node limit
Counts
689 → 674
Calls
Call 1
Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2)))) (*.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.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 (*.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 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 (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 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2)))) (*.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 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 (pow.f64 a1 2) (cos.f64 th)) (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 (pow.f64 a1 2) (cos.f64 th)) (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))
(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))
(pow.f64 1/2 1/4)
(+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4))) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4)))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 1/2 1/4))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4))) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4))))))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
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(/.f64 1 (/.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) 1))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))
(/.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 4) (pow.f64 a2 4)) 1) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.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 a2) (-.f64 a1 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)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (pow.f64 2 1/4) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (pow.f64 2 1/4) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (*.f64 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (pow.f64 2 1/4) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (pow.f64 2 1/4) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))) (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) 3) (pow.f64 (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)) (+.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (-.f64 (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1))) (*.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)))) (-.f64 (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (pow.f64 2 1/4))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (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 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (+.f64 a1 a2) (-.f64 a1 a2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (hypot.f64 a2 a1)) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)))
Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 th th))))
(fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 th th)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 th th)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4)))))
(-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 th th)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4)))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2)))) (*.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1 (*.f64 (fma.f64 -1/720 (sqrt.f64 2) (fma.f64 1/2 (*.f64 (sqrt.f64 2) -5/24) (*.f64 (sqrt.f64 2) 1/48))) (pow.f64 th 6)) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 th th)) (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4))))))
(+.f64 (-.f64 (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 th th)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4))) (*.f64 (fma.f64 (sqrt.f64 2) -1/720 (fma.f64 1/2 (*.f64 (sqrt.f64 2) -5/24) (*.f64 (sqrt.f64 2) 1/48))) (neg.f64 (pow.f64 th 6))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(+.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 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
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(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))
(fma.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(fma.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a1 a1) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 1/2)))

eval256.0ms (1.9%)

Compiler

Compiled 13665 to 8155 computations (40.3% saved)

prune138.0ms (1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New71211723
Fresh538
Picked325
Done101
Total72116737
Accurracy
100.0%
Counts
737 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
64.4%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
41.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓52.6%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
35.4%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
✓64.3%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶64.3%
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
59.9%
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
52.5%
(*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶52.5%
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
▶35.4%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
52.5%
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
▶99.6%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
64.4%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
41.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓52.6%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
35.4%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
✓64.3%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶64.3%
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
59.9%
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
52.5%
(*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶52.5%
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
▶35.4%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
52.5%
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
Compiler

Compiled 738 to 544 computations (26.3% saved)

localize205.0ms (1.5%)

Local Accuracy

Found 10 expressions with local accuracy:

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

Compiled 135 to 59 computations (56.3% saved)

series8.0ms (0.1%)

Counts
8 → 144
Calls

39 calls:

TimeVariablePointExpression
0.0ms
a1
@inf
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
0.0ms
a1
@inf
(/.f64 a1 (sqrt.f64 2))
0.0ms
a2
@0
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
0.0ms
a1
@-inf
(/.f64 a1 (sqrt.f64 2))
0.0ms
th
@0
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))

rewrite117.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1384×prod-diff
510×add-sqr-sqrt
500×pow1
500×*-un-lft-identity
468×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024170
1513166
26873166
Stop Event
1×node limit
Counts
8 → 200
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(*.f64 a1 (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 1 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) (pow.f64 2 -1/2))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(*.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) (pow.f64 a1 3)))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))) 1)
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 1/2)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 1/2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 a1 a1) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))))) 1)
(pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.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 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 (cos.f64 th))) (*.f64 a1 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))) 1)
(pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))

simplify128.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1910×fma-def
1408×log-prod
776×associate-*l*
760×associate-*r*
644×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053210042
113239720
250689716
Stop Event
1×node limit
Counts
344 → 311
Calls
Call 1
Inputs
(/.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 (*.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 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 (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 (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 (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)))
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(+.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))) 1)
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 1/2)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 1/2)) (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 a1 a1) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) a1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))))) 1)
(pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.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 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 (cos.f64 th))) (*.f64 a1 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))) 1)
(pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.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 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (*.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 a1 6) 1/2) (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 6))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) (pow.f64 a1 3)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))) 1)
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (/.f64 (cbrt.f64 2) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 3)
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3) 1/3)
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(sqrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 a1 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6)))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))

eval122.0ms (0.9%)

Compiler

Compiled 6421 to 4004 computations (37.6% saved)

prune135.0ms (1%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New39611407
Fresh189
Picked145
Done112
Total39924423
Accurracy
100.0%
Counts
423 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
64.4%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
▶41.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
35.4%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
52.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
35.4%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
35.1%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
✓64.3%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
35.4%
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
59.9%
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
▶99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
41.0%
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
52.5%
(*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
▶35.4%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
✓52.5%
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
35.4%
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
✓35.4%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
▶52.5%
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
▶35.4%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
15.0%
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
32.4%
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
✓99.6%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
64.4%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
▶41.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
35.4%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
52.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
35.4%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
35.1%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
✓64.3%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
35.4%
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
59.9%
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
▶99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
41.0%
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
52.5%
(*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
▶35.4%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
✓52.5%
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
35.4%
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
✓35.4%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
▶52.5%
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
▶35.4%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
15.0%
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
32.4%
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
Compiler

Compiled 984 to 754 computations (23.4% saved)

localize288.0ms (2.1%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
✓99.8%
(*.f64 a1 (cos.f64 th))
✓99.3%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))
✓99.9%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
✓99.3%
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓98.4%
(/.f64 1 (neg.f64 (sqrt.f64 2)))
✓99.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓99.7%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓99.7%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.7%
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
Compiler

Compiled 129 to 67 computations (48.1% saved)

series17.0ms (0.1%)

Counts
10 → 120
Calls

42 calls:

TimeVariablePointExpression
10.0ms
a1
@-inf
(*.f64 a1 (cos.f64 th))
1.0ms
a1
@0
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))
0.0ms
th
@0
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))
0.0ms
th
@-inf
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))
0.0ms
th
@inf
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))

rewrite49.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
582×associate-*r*
566×add-sqr-sqrt
552×pow1
552×*-un-lft-identity
518×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027196
1573196
Stop Event
1×node limit
Counts
10 → 172
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 1 (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
Outputs
(+.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 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) -2)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 (cos.f64 th) a2))
(+.f64 0 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(/.f64 a1 a1)
(/.f64 a1 -2)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
(/.f64 a1 (/.f64 -2 a1))
(/.f64 -2 (/.f64 -2 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)))
(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))
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(*.f64 a2 a2)
(*.f64 a2 -2)
(*.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)))
(log.f64 (/.f64 -2 (exp.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))
-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 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(/.f64 a1 a1)
(/.f64 a1 -2)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
(/.f64 a1 (/.f64 -2 a1))
(/.f64 -2 (/.f64 -2 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)))
(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))
(+.f64 0 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(/.f64 a1 a1)
(/.f64 a1 -2)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
(/.f64 a1 (/.f64 -2 a1))
(/.f64 -2 (/.f64 -2 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)))
(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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))

simplify108.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1148×distribute-lft-out
1146×associate-/r*
722×distribute-lft-in
602×distribute-rgt-in
572×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02605364
15805194
217004960
349314840
Stop Event
1×node limit
Counts
292 → 246
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) (+.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 (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 (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 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (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 (sqrt.f64 1/2) a1)
(+.f64 (*.f64 (sqrt.f64 1/2) a1) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) a1) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 2)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 4))))))
(+.f64 (*.f64 (sqrt.f64 1/2) a1) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 2)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (pow.f64 th 4)))))))
a1
(+.f64 a1 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))))
(+.f64 a1 (+.f64 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))) (*.f64 1/24 (*.f64 a1 (pow.f64 th 4)))))
(+.f64 a1 (+.f64 (*.f64 -1/720 (*.f64 a1 (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))) (*.f64 1/24 (*.f64 a1 (pow.f64 th 4))))))
(*.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)))))
(*.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 -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 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) -2)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(fma.f64 a1 (cos.f64 th) (*.f64 (cos.f64 th) a2))
(+.f64 0 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(/.f64 a1 a1)
(/.f64 a1 -2)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
(/.f64 a1 (/.f64 -2 a1))
(/.f64 -2 (/.f64 -2 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)))
(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))
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(*.f64 a2 a2)
(*.f64 a2 -2)
(*.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)))
(log.f64 (/.f64 -2 (exp.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))
-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 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(/.f64 a1 a1)
(/.f64 a1 -2)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
(/.f64 a1 (/.f64 -2 a1))
(/.f64 -2 (/.f64 -2 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)))
(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))
(+.f64 0 a1)
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(/.f64 a1 a1)
(/.f64 a1 -2)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
(/.f64 a1 (/.f64 -2 a1))
(/.f64 -2 (/.f64 -2 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)))
(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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
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 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1))
(+.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 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 1/24 (pow.f64 th 4))))
(+.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 (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (*.f64 th th)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.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 a2 a2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)))
(+.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 a2 a2) (*.f64 a1 a1)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (*.f64 (sqrt.f64 1/2) (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 (sqrt.f64 1/2) (*.f64 (*.f64 th th) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 1/24 (pow.f64 th 4)))))
(+.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 a2 a2) (*.f64 a1 a1)))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 6) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(fma.f64 1/24 (*.f64 (*.f64 (sqrt.f64 1/2) (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 (sqrt.f64 1/2) (*.f64 (*.f64 th th) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))))
(*.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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (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 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
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(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th (*.f64 th (*.f64 a1 a1))) -1/2)))
(*.f64 (*.f64 a1 a1) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.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))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (*.f64 a1 a1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (*.f64 a1 a1))) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th (*.f64 th (*.f64 a1 a1))) -1/2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 1/24 (pow.f64 th 4)))))
(+.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)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (*.f64 a1 a1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 a1 a1))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 6) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 th 4) (*.f64 a1 a1))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th (*.f64 th (*.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (pow.f64 th 6) -1/720)))))
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(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
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(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
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(-.f64 (cos.f64 th) -2)
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(/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2)
(pow.f64 (cos.f64 th) -2)
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(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 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a1)) (*.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 (cos.f64 th) a2)))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) (+.f64 a1 a2))) (*.f64 (*.f64 (cos.f64 th) a2) (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(*.f64 (*.f64 (cos.f64 th) (cos.f64 th)) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(pow.f64 (exp.f64 2) (log.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) 2)
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(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (+.f64 a1 (fma.f64 a2 a1 a2)))
(*.f64 (/.f64 (+.f64 a2 a1) (+.f64 a1 (fma.f64 a2 a1 a2))) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (+.f64 (*.f64 (cos.f64 th) a1) (-.f64 (*.f64 (cos.f64 th) a2) (*.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (-.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) (*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a2 (cos.f64 th))))))
(*.f64 (/.f64 (cos.f64 th) (*.f64 (cos.f64 th) (-.f64 (+.f64 a2 a1) (*.f64 (*.f64 a1 (cos.f64 th)) a2)))) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) (/.f64 1 (-.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (-.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (*.f64 a2 a1))))
(/.f64 (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)) (-.f64 (*.f64 (cos.f64 th) a1) (*.f64 (cos.f64 th) a2)))
1
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) 1/3)
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))) -2))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 (cos.f64 th) a2))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 0 a1)
a1
(-.f64 0 a1)
(neg.f64 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(+.f64 (exp.f64 (log1p.f64 a1)) 2)
(+.f64 2 (exp.f64 (log1p.f64 a1)))
(/.f64 a1 a1)
1
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1
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 -2 (/.f64 -2 a1))
a1
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log1p.f64 a1))
a1
(exp.f64 (log.f64 a1))
a1
(exp.f64 (*.f64 (log.f64 a1) -2))
(pow.f64 a1 -2)
(log1p.f64 (expm1.f64 a1))
a1
(-.f64 0 a2)
(neg.f64 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(+.f64 (exp.f64 (log1p.f64 a2)) 2)
(+.f64 2 (exp.f64 (log1p.f64 a2)))
(*.f64 a2 a2)
(*.f64 a2 -2)
(*.f64 -2 a2)
(*.f64 a2 -2)
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(cbrt.f64 a2)
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(sqrt.f64 a2)
(fabs.f64 a2)
a2
(log.f64 (exp.f64 a2))
(fabs.f64 a2)
a2
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(log.f64 (/.f64 -2 (exp.f64 a2)))
(-.f64 (log.f64 -2) a2)
(cbrt.f64 a2)
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(fabs.f64 a2)
a2
(exp.f64 (log.f64 a2))
(fabs.f64 a2)
a2
(exp.f64 (*.f64 (log.f64 a2) -2))
(pow.f64 a2 -2)
(log1p.f64 (expm1.f64 a2))
(fabs.f64 a2)
a2
-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 a1)
a1
(-.f64 0 a1)
(neg.f64 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(+.f64 (exp.f64 (log1p.f64 a1)) 2)
(+.f64 2 (exp.f64 (log1p.f64 a1)))
(/.f64 a1 a1)
1
(/.f64 a1 -2)
(*.f64 -1/2 a1)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
1
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 -2 (/.f64 -2 a1))
a1
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log1p.f64 a1))
a1
(exp.f64 (log.f64 a1))
a1
(exp.f64 (*.f64 (log.f64 a1) -2))
(pow.f64 a1 -2)
(log1p.f64 (expm1.f64 a1))
a1
(+.f64 0 a1)
a1
(-.f64 0 a1)
(neg.f64 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(+.f64 (exp.f64 (log1p.f64 a1)) 2)
(+.f64 2 (exp.f64 (log1p.f64 a1)))
(/.f64 a1 a1)
1
(/.f64 a1 -2)
(*.f64 -1/2 a1)
(/.f64 a1 (+.f64 0 (+.f64 a1 (*.f64 0 a1))))
1
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 -2 (/.f64 -2 a1))
a1
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log1p.f64 a1))
a1
(exp.f64 (log.f64 a1))
a1
(exp.f64 (*.f64 (log.f64 a1) -2))
(pow.f64 a1 -2)
(log1p.f64 (expm1.f64 a1))
a1
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))))
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 a1 (cos.f64 th)) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(cbrt.f64 (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(sqrt.f64 (*.f64 a1 (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (fabs.f64 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a1 (cos.f64 th)))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(cbrt.f64 (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
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(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(pow.f64 (*.f64 a1 (cos.f64 th)) -2)
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(*.f64 a1 (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))))
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 a1 (cos.f64 th)) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(cbrt.f64 (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(sqrt.f64 (*.f64 a1 (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (fabs.f64 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a1 (cos.f64 th)))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(cbrt.f64 (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(pow.f64 (*.f64 a1 (cos.f64 th)) -2)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a1))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))))
(pow.f64 (*.f64 (cos.f64 th) a1) -2)
(pow.f64 (*.f64 a1 (cos.f64 th)) -2)
(pow.f64 (*.f64 (cos.f64 th) a1) 1/3)
(cbrt.f64 (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) a1))
(sqrt.f64 (*.f64 a1 (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) a1))
(fabs.f64 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (fabs.f64 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a1))))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a1 (cos.f64 th)))))
(cbrt.f64 (*.f64 (cos.f64 th) a1))
(cbrt.f64 (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) a1)) -2))
(pow.f64 (*.f64 a1 (cos.f64 th)) -2)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a1)))
(*.f64 a1 (cos.f64 th))

eval59.0ms (0.4%)

Compiler

Compiled 3338 to 1724 computations (48.4% saved)

prune69.0ms (0.5%)

Pruning

44 alts after pruning (36 fresh and 8 done)

PrunedKeptTotal
New22224246
Fresh21214
Picked145
Done145
Total22644270
Accurracy
100.0%
Counts
270 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
64.4%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
✓41.1%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
35.4%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.7%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
52.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
35.4%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
13.2%
(/.f64 a1 (/.f64 -2 a1))
4.2%
(/.f64 a1 -2)
35.1%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
2.9%
(+.f64 0 a1)
19.3%
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓52.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
41.1%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
35.4%
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
32.8%
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
59.9%
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
✓99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.9%
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
41.0%
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
52.5%
(*.f64 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
✓35.4%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
59.9%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
58.7%
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.3%
(*.f64 (cos.f64 th) (+.f64 a2 a1))
✓52.5%
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
30.7%
(*.f64 a2 a2)
2.9%
(*.f64 a2 -2)
✓35.4%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓52.5%
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
12.6%
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
13.0%
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
13.0%
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
27.8%
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
27.7%
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
27.3%
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
33.9%
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
13.2%
(*.f64 a1 (*.f64 -1/2 a1))
15.0%
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
2.9%
(neg.f64 a2)
4.3%
(neg.f64 a1)
2.6%
(cbrt.f64 a1)
4.4%
a2
3.5%
1
Compiler

Compiled 954 to 586 computations (38.6% saved)

regimes202.0ms (1.5%)

Counts
62 → 1
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (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 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 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 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.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 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.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) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
(+.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 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Calls

8 calls:

28.0ms
th
28.0ms
a1
27.0ms
a2
24.0ms
(*.f64 a2 a2)
22.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.7%1a1
99.7%1a2
99.7%1th
99.7%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
99.7%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.7%1(cos.f64 th)
99.7%1(*.f64 a1 a1)
99.7%1(*.f64 a2 a2)
Compiler

Compiled 578 to 302 computations (47.8% saved)

regimes157.0ms (1.2%)

Counts
55 → 1
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (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 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 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 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Calls

7 calls:

25.0ms
a2
25.0ms
a1
24.0ms
th
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
20.0ms
(cos.f64 th)
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 452 to 234 computations (48.2% saved)

regimes151.0ms (1.1%)

Counts
53 → 1
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (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 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 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)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

24.0ms
a2
23.0ms
a1
23.0ms
th
20.0ms
(cos.f64 th)
19.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
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 425 to 225 computations (47.1% saved)

regimes195.0ms (1.4%)

Counts
52 → 1
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (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 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

44.0ms
a1
32.0ms
(cos.f64 th)
28.0ms
a2
26.0ms
th
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
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 412 to 221 computations (46.4% saved)

regimes738.0ms (5.5%)

Counts
51 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (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 (sqrt.f64 1/2) (/.f64 (*.f64 a1 a1) (/.f64 1 (cos.f64 th))))
Outputs
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Calls

7 calls:

181.0ms
th
121.0ms
(cos.f64 th)
118.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
81.0ms
a2
79.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
87.4%2a1
89.4%4a2
84.8%9th
85.2%6(/.f64 (cos.f64 th) (sqrt.f64 2))
85.2%6(cos.f64 th)
84.4%5(*.f64 a1 a1)
87.3%6(*.f64 a2 a2)
Compiler

Compiled 399 to 217 computations (45.6% saved)

regimes45.0ms (0.3%)

Counts
43 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
Outputs
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Calls

1 calls:

36.0ms
a1
Results
AccuracySegmentsBranch
87.4%2a1
Compiler

Compiled 292 to 158 computations (45.9% saved)

regimes181.0ms (1.3%)

Counts
40 → 3
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
Outputs
(*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

4 calls:

64.0ms
a1
50.0ms
a2
31.0ms
(*.f64 a2 a2)
27.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
71.0%2(*.f64 a1 a1)
78.7%3(*.f64 a2 a2)
81.2%3a2
76.2%4a1
Compiler

Compiled 281 to 154 computations (45.2% saved)

regimes68.0ms (0.5%)

Counts
39 → 3
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
Outputs
(*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

48.0ms
a2
Results
AccuracySegmentsBranch
81.1%3a2
Compiler

Compiled 256 to 139 computations (45.7% saved)

regimes67.0ms (0.5%)

Counts
38 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (/.f64 (+.f64 (cos.f64 (+.f64 th th)) 1) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
Outputs
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Calls

2 calls:

32.0ms
a2
25.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
77.2%2(cos.f64 th)
69.9%2a2
Compiler

Compiled 252 to 138 computations (45.2% saved)

regimes217.0ms (1.6%)

Counts
32 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
Outputs
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
Calls

2 calls:

174.0ms
(*.f64 a2 a2)
37.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
70.2%2(*.f64 a2 a2)
77.1%2(cos.f64 th)
Compiler

Compiled 188 to 104 computations (44.7% saved)

regimes276.0ms (2%)

Counts
31 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

80.0ms
a1
69.0ms
th
46.0ms
(cos.f64 th)
27.0ms
a2
26.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
62.6%2a2
63.6%2(*.f64 a2 a2)
61.3%2(*.f64 a1 a1)
63.5%4a1
64.4%5th
58.7%1(cos.f64 th)
Compiler

Compiled 196 to 113 computations (42.3% saved)

regimes463.0ms (3.4%)

Counts
30 → 3
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
Outputs
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
Calls

6 calls:

158.0ms
th
117.0ms
(*.f64 a2 a2)
72.0ms
a2
40.0ms
(cos.f64 th)
38.0ms
a1
Results
AccuracySegmentsBranch
54.7%9th
50.4%4(cos.f64 th)
60.5%3a1
60.0%4(*.f64 a1 a1)
59.7%4a2
58.5%4(*.f64 a2 a2)
Compiler

Compiled 186 to 111 computations (40.3% saved)

regimes38.0ms (0.3%)

Counts
24 → 3
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
Outputs
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
Calls

1 calls:

33.0ms
a1
Results
AccuracySegmentsBranch
60.5%3a1
Compiler

Compiled 115 to 65 computations (43.5% saved)

regimes36.0ms (0.3%)

Counts
22 → 3
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
Outputs
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
Calls

1 calls:

32.0ms
a1
Results
AccuracySegmentsBranch
60.4%3a1
Compiler

Compiled 103 to 57 computations (44.7% saved)

regimes100.0ms (0.7%)

Counts
21 → 3
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Outputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a2 a2)
Calls

4 calls:

30.0ms
a1
28.0ms
a2
20.0ms
(*.f64 a1 a1)
17.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
53.8%3(*.f64 a2 a2)
53.6%3a2
49.7%4(*.f64 a1 a1)
52.4%3a1
Compiler

Compiled 113 to 65 computations (42.5% saved)

regimes62.0ms (0.5%)

Counts
18 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
Outputs
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 a2 a2)
Calls

3 calls:

29.0ms
a1
17.0ms
a2
12.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
48.2%2a1
49.3%2a2
48.7%2(*.f64 a2 a2)
Compiler

Compiled 89 to 51 computations (42.7% saved)

regimes86.0ms (0.6%)

Counts
17 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/8))
(*.f64 a1 (*.f64 (neg.f64 a1) 1/4))
(*.f64 a1 (*.f64 (neg.f64 a1) 512))
(cbrt.f64 a1)
Outputs
(*.f64 a1 (*.f64 (neg.f64 a1) -1/2))
(*.f64 a2 a2)
Calls

3 calls:

55.0ms
a1
17.0ms
a2
11.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
43.2%2a1
43.4%2(*.f64 a2 a2)
44.0%2a2
Compiler

Compiled 83 to 48 computations (42.2% saved)

regimes15.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
Outputs
(*.f64 a1 (*.f64 (neg.f64 a1) -1))
(*.f64 a2 a2)
Calls

1 calls:

13.0ms
a2
Results
AccuracySegmentsBranch
43.9%2a2
Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes21.0ms (0.2%)

Counts
11 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
Outputs
(*.f64 a1 (*.f64 (neg.f64 a1) -2))
(*.f64 a2 a2)
Calls

2 calls:

13.0ms
a2
6.0ms
th
Results
AccuracySegmentsBranch
30.7%1th
43.5%2a2
Compiler

Compiled 45 to 28 computations (37.8% saved)

regimes28.0ms (0.2%)

Counts
10 → 2
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
(*.f64 a1 (*.f64 -1/2 a1))
(/.f64 a1 (/.f64 -2 a1))
Outputs
(*.f64 a1 (*.f64 -1/2 a1))
(*.f64 a2 a2)
Calls

3 calls:

11.0ms
a1
8.0ms
(*.f64 a2 a2)
6.0ms
a2
Results
AccuracySegmentsBranch
32.7%2a1
32.6%2(*.f64 a2 a2)
30.7%1a2
Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes16.0ms (0.1%)

Counts
8 → 1
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 0 a1)
(/.f64 a1 -2)
Outputs
(*.f64 a2 a2)
Calls

3 calls:

5.0ms
a1
5.0ms
th
4.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
30.7%1th
30.7%1(*.f64 a2 a2)
30.7%1a1
Compiler

Compiled 35 to 23 computations (34.3% saved)

regimes15.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a2 -2)
Outputs
a2
Calls

3 calls:

5.0ms
th
5.0ms
a1
4.0ms
a2
Results
AccuracySegmentsBranch
4.4%1a1
4.4%1a2
4.4%1th
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
th
2.0ms
a2
2.0ms
a1
Results
AccuracySegmentsBranch
3.5%1a1
3.5%1a2
3.5%1th
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-9.629575527021902e-80
-5.280783808040297e-80
Results
5.0ms14×body1024valid
4.0ms26×body256valid
3.0ms8×body512valid
2.0ms13×body256infinite
1.0ms2×body1024infinite
0.0ms1×body512infinite
Compiler

Compiled 132 to 100 computations (24.2% saved)

bsearch45.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
45.0ms
-1.4225458240405609e-71
-4.571254115391517e-77
Results
17.0ms58×body256valid
16.0ms43×body1024valid
4.0ms25×body256infinite
3.0ms10×body512valid
2.0ms5×body1024infinite
2.0ms3×body512infinite
Compiler

Compiled 262 to 200 computations (23.7% saved)

bsearch76.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
2.8302970305046708e+153
7.172853749614906e+154
41.0ms
6.679905271510384e-46
1.9463172392399096e-44
Results
35.0ms53×body1024valid
15.0ms92×body256valid
12.0ms45×body256infinite
5.0ms13×body1024infinite
4.0ms16×body512valid
1.0ms5×body512infinite
Compiler

Compiled 413 to 293 computations (29.1% saved)

bsearch89.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
61.0ms
2.8302970305046708e+153
7.172853749614906e+154
27.0ms
6.679905271510384e-46
1.9463172392399096e-44
Results
40.0ms43×body256infinite
19.0ms50×body1024valid
15.0ms97×body256valid
7.0ms22×body512valid
3.0ms9×body1024infinite
1.0ms3×body512infinite
Compiler

Compiled 413 to 293 computations (29.1% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6722131372104272
0.7134255993567482
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch2.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
2.0ms
0.6722131372104272
0.7134255993567482
Results
1.0ms11×body256valid
1.0ms5×body256infinite
Compiler

Compiled 54 to 38 computations (29.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0007125162146755e-278
2.0549147189244838e-277
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch74.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
-4.048453312231556e+40
-2.3113294750463843e+36
39.0ms
-1.9642068956490704e+151
-1.8703682728911627e+146
Results
29.0ms70×body1024valid
23.0ms123×body256valid
6.0ms16×body1024infinite
6.0ms39×body256infinite
5.0ms17×body512valid
2.0ms7×body512infinite
Compiler

Compiled 368 to 283 computations (23.1% saved)

bsearch97.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
48.0ms
-4.048453312231556e+40
-2.3113294750463843e+36
49.0ms
-1.9642068956490704e+151
-1.8703682728911627e+146
Results
42.0ms66×body1024valid
20.0ms116×body256valid
19.0ms50×body256infinite
7.0ms26×body512valid
3.0ms9×body1024infinite
1.0ms5×body512infinite
Compiler

Compiled 368 to 283 computations (23.1% saved)

bsearch91.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
52.0ms
-4.048453312231556e+40
-2.3113294750463843e+36
39.0ms
-1.9642068956490704e+151
-1.8703682728911627e+146
Results
48.0ms66×body1024valid
19.0ms122×body256valid
6.0ms43×body256infinite
6.0ms21×body512valid
5.0ms12×body1024infinite
2.0ms8×body512infinite
Compiler

Compiled 368 to 283 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.41940671998592e+276
7.041287239347673e+278
0.0ms
2.455568423752634e-144
1.737474420728303e-141
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
2.9979132975205446e+116
1.0695017365966463e+117
Results
6.0ms40×body256valid
6.0ms14×body1024valid
2.0ms9×body512valid
2.0ms6×body1024infinite
2.0ms11×body256infinite
Compiler

Compiled 113 to 80 computations (29.2% saved)

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
2.5354583750339717e+63
2.0543964975558202e+67
Results
14.0ms33×body1024valid
10.0ms61×body256valid
3.0ms9×body512valid
3.0ms7×body1024infinite
2.0ms16×body256infinite
1.0ms2×body512infinite
Compiler

Compiled 164 to 124 computations (24.4% saved)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
55.0ms
2.5354583750339717e+63
2.0543964975558202e+67
Results
36.0ms34×body1024valid
9.0ms57×body256valid
4.0ms10×body1024infinite
3.0ms18×body256infinite
2.0ms8×body512valid
0.0ms1×body512infinite
Compiler

Compiled 164 to 124 computations (24.4% saved)

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
2.5354583750339717e+63
2.0543964975558202e+67
Results
13.0ms28×body1024valid
12.0ms63×body256valid
4.0ms22×body256infinite
2.0ms6×body1024infinite
2.0ms8×body512valid
0.0ms1×body512infinite
Compiler

Compiled 164 to 124 computations (24.4% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-3.9982641520002934e+158
-1.2385136615571576e+158
Results
11.0ms29×body1024infinite
8.0ms45×body256infinite
2.0ms6×body512infinite
Compiler

Compiled 108 to 80 computations (25.9% saved)

simplify122.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
432×distribute-lft-neg-in
238×neg-mul-1
220×neg-sub0
190×unsub-neg
162×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201135
11581133
21871125
32231125
43041125
54821125
66271125
77271125
88031125
98701125
109411125
1110171125
1210901125
1311411125
1411841125
1512401125
1612771125
1713071125
1813231125
1913271125
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a1 -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a1 -6365737426045269/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a2 8356077830146749/6427752177035961102167848369364650410088811975131171341205504) (*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))) (if (<=.f64 a2 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 a2 5784976959332365/6427752177035961102167848369364650410088811975131171341205504) (*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (if (<=.f64 a2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (<=.f64 (*.f64 a2 a2) 6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (if (<=.f64 a1 -70000000000000000313113469567081906176) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (if (<=.f64 a1 -1550000000000000125667012681136464723968) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (if (<=.f64 a1 -399999999999999990995239293824136118272) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(if (<=.f64 (*.f64 a2 a2) 439347050248359/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 (*.f64 a2 a2) 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 a2 a2)))
(if (<=.f64 a2 1050000000000000060082401431600423662931656009119541812101647727316624198738405616627294643398318284530280135372308480) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 a2 a2))
(if (<=.f64 a2 6200000000000000371872866380885339193672111367331797893573806915584) (*.f64 a1 (*.f64 (neg.f64 a1) -1/2)) (*.f64 a2 a2))
(if (<=.f64 a2 6000000000000000046078422366195817814401196595495940579913780690944) (*.f64 a1 (*.f64 (neg.f64 a1) -1)) (*.f64 a2 a2))
(if (<=.f64 a2 19999999999999999654735515678371196634479565751161864557154294300672) (*.f64 a1 (*.f64 (neg.f64 a1) -2)) (*.f64 a2 a2))
(if (<=.f64 a1 -199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552) (*.f64 a1 (*.f64 -1/2 a1)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
1
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (<=.f64 a1 -3170605756445101/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a1 -6365737426045269/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a1 -6365737426045269/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a1))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a2 8356077830146749/6427752177035961102167848369364650410088811975131171341205504) (*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (cos.f64 th)))) (if (<=.f64 a2 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 a2 8356077830146749/6427752177035961102167848369364650410088811975131171341205504) (*.f64 a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a1))) (if (<=.f64 a2 11499999999999999903898777837578586075525251310197441495021067994303539598477127764116748356477588136349743365114593773456912066480413072039100673924530176) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(if (<=.f64 a2 5784976959332365/6427752177035961102167848369364650410088811975131171341205504) (*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (if (<=.f64 a2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(if (<=.f64 a2 5784976959332365/6427752177035961102167848369364650410088811975131171341205504) (*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (if (<=.f64 a2 13500000000000000275507010685175621526490118987092636456657125042259125821644957267949903389666459196246900088209596760608108317076954234449082739494748160) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2)))
(if (<=.f64 (*.f64 a2 a2) 6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (*.f64 a2 a2) 6386688990511103/319334449525555169865019634085894170570792201669673206640407558789953902699034250525593274478821712174294791495070799239035590078142974985718267487725573027251200907672173708242806035431098077949224537079127027838932929672819339262222216842951687065201139345100120966662777359236855041588461568) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (if (<=.f64 a1 -70000000000000000313113469567081906176) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 (cos.f64 th) a1)) (if (<=.f64 a1 -70000000000000000313113469567081906176) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (if (<=.f64 a1 -1550000000000000125667012681136464723968) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 (cos.f64 th) a1)) (if (<=.f64 a1 -1550000000000000125667012681136464723968) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (if (<=.f64 a1 -399999999999999990995239293824136118272) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(if (<=.f64 a1 -19499999999999998808600560529971052648186556399586115317431183024772134371295258289818617110443648721307758122206420850233220323409113701764123951366144) (*.f64 a1 (*.f64 (cos.f64 th) a1)) (if (<=.f64 a1 -399999999999999990995239293824136118272) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))
(if (<=.f64 (*.f64 a2 a2) 439347050248359/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 (*.f64 a2 a2) 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 a2 a2)))
(if (<=.f64 (*.f64 a2 a2) 439347050248359/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 (*.f64 a2 a2) 10000000000000000028678785109953723248702060064614983783573429926910385653902272159683291957333224649616958313128598304010187936385481780447799767184805866054345934040104083320587698215409722049436653961817402491275192019201707119869992081071729797163687409453914913289541779456) (*.f64 a1 (*.f64 (cos.f64 th) a1)) (*.f64 a2 a2)))
(if (<=.f64 a2 1050000000000000060082401431600423662931656009119541812101647727316624198738405616627294643398318284530280135372308480) (*.f64 a1 (*.f64 a1 (cos.f64 th))) (*.f64 a2 a2))
(if (<=.f64 a2 1050000000000000060082401431600423662931656009119541812101647727316624198738405616627294643398318284530280135372308480) (*.f64 a1 (*.f64 (cos.f64 th) a1)) (*.f64 a2 a2))
(if (<=.f64 a2 6200000000000000371872866380885339193672111367331797893573806915584) (*.f64 a1 (*.f64 (neg.f64 a1) -1/2)) (*.f64 a2 a2))
(if (<=.f64 a2 6200000000000000371872866380885339193672111367331797893573806915584) (*.f64 a1 (*.f64 a1 (neg.f64 -1/2))) (*.f64 a2 a2))
(if (<=.f64 a2 6000000000000000046078422366195817814401196595495940579913780690944) (*.f64 a1 (*.f64 (neg.f64 a1) -1)) (*.f64 a2 a2))
(if (<=.f64 a2 6000000000000000046078422366195817814401196595495940579913780690944) (*.f64 a1 (neg.f64 (neg.f64 a1))) (*.f64 a2 a2))
(if (<=.f64 a2 6000000000000000046078422366195817814401196595495940579913780690944) (*.f64 a1 a1) (*.f64 a2 a2))
(if (<=.f64 a2 19999999999999999654735515678371196634479565751161864557154294300672) (*.f64 a1 (*.f64 (neg.f64 a1) -2)) (*.f64 a2 a2))
(if (<=.f64 a2 19999999999999999654735515678371196634479565751161864557154294300672) (*.f64 a1 (*.f64 a1 (neg.f64 -2))) (*.f64 a2 a2))
(if (<=.f64 a1 -199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552) (*.f64 a1 (*.f64 -1/2 a1)) (*.f64 a2 a2))
(if (<=.f64 a1 -199999999999999990574670907302422015994892365563716166358170775499571904478411574137991398006833021552774620122989864841969926623135604404021274575455284887552) (*.f64 a1 (*.f64 a1 -1/2)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
1
Compiler

Compiled 481 to 301 computations (37.4% saved)

soundness4.2s (31.4%)

Rules
1910×fma-def
1910×fma-def
1910×fma-def
1880×fma-def
1880×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
26135
39135
411835
513635
615435
717435
817635
01539
13035
26135
39135
411835
513635
615435
717435
817635
018125
1386117
24783117
027196
1573196
02605364
15805194
217004960
349314840
0100523639
1284622217
027196
1573196
02605364
15805194
217004960
349314840
027196
1573196
0100523639
1284622217
053210042
113239720
250689716
027196
1573196
02605364
15805194
217004960
349314840
0100523639
1284622217
024170
1513166
26873166
027196
1573196
027196
1573196
027196
1573196
048817745
1123715341
2543615309
028260
1630234
0100523639
1284622217
053210042
113239720
250689716
027196
1573196
02605364
15805194
217004960
349314840
053210042
113239720
250689716
02605364
15805194
217004960
349314840
048817745
1123715341
2543615309
027196
1573196
02605364
15805194
217004960
349314840
048817745
1123715341
2543615309
0100523639
1284622217
0100523639
1284622217
048817745
1123715341
2543615309
0100523639
1284622217
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×node limit
1×node limit
1×node limit
1×saturated
1×saturated
Compiler

Compiled 1228 to 779 computations (36.6% saved)

end212.0ms (1.6%)

Remove

(sort a1 a2)

Compiler

Compiled 904 to 396 computations (56.2% saved)

Profiling

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