Migdal et al, Equation (64)

Time bar (total: 11.1s)

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)

sample2.2s (19.4%)

Results
573.0ms3069×body256valid
493.0ms1113×body1024valid
409.0ms872×body1024infinite
391.0ms2282×body256infinite
145.0ms505×body512valid
127.0ms411×body512infinite
2.0ms4×body2048valid
Bogosity

preprocess192.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3602×fma-def
1050×div-sub
966×associate-/l*
960×distribute-lft-in
748×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041273
1121245
2341245
3920245
42205245
53970245
65361245
75949245
86022245
96033245
106038245
117257245
Stop Event
1×node limit
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)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.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) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a1) (neg.f64 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) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.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) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.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 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.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) (sqrt.f64 2)) (fma.f64 th th (*.f64 a2 a2)))
(*.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (*.f64 a2 a2)) (sqrt.f64 2)))
(+.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 (sqrt.f64 2) (fma.f64 th th (*.f64 a1 a1))))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify7.0ms (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)))

eval2.0ms (0%)

Compiler

Compiled 59 to 29 computations (50.8% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New224
Fresh101
Picked000
Done000
Total325
Accurracy
99.4%
Counts
5 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.3%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
▶99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.3%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize137.0ms (1.2%)

Local Accuracy

Found 6 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.3%
(*.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))
✓99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
✓99.5%
(*.f64 (cos.f64 th) (/.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
6 → 148
Calls

39 calls:

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

rewrite122.0ms (1.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
018140
1386130
24782130
Stop Event
1×node limit
Counts
6 → 328
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.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)))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
Outputs
(+.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3) (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)) (fma.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (-.f64 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (-.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (exp.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
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(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
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(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (/.f64 (sqrt.f64 2) (cos.f64 th))))
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(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 a1 4) (-.f64 (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)))
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(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (exp.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 1 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 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 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(-.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))))
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(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)))
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(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))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a2 a2) 1 (*.f64 a1 a1))
(fma.f64 (*.f64 a1 a1) 1 (*.f64 a2 a2))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 a2 a2))

simplify183.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
898×associate-*r*
800×log-prod
790×associate-*l*
606×cube-prod
564×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051619240
1132916806
2568816806
Stop Event
1×node limit
Counts
476 → 285
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (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)))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1) (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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 (pow.f64 a1 4) (-.f64 (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))))
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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)))
(/.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 (pow.f64 a1 4) (-.f64 (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))
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(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
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(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (exp.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 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 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 1 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 1 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.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 a1 a1)) (*.f64 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 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 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
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(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
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(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)
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(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))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
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(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 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1 (*.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(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 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(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 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 a2 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 (*.f64 a2 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 (*.f64 a2 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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(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 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 (*.f64 a2 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 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.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))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.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 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(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))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a2 a2) 1 (*.f64 a1 a1))
(fma.f64 (*.f64 a1 a1) 1 (*.f64 a2 a2))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 a2 a2))
Outputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))) (/.f64 (*.f64 a2 a2) (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)))))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))) (fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (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) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.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) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.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) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(+.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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
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(*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a2 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a1 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (hypot.f64 a1 a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (*.f64 (pow.f64 (exp.f64 a2) a2) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(log.f64 (*.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (pow.f64 (exp.f64 a2) a2)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(pow.f64 (hypot.f64 a1 a2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1))
(pow.f64 (hypot.f64 a1 a2) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a2 a2) 1 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a1 a1) 1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))

eval90.0ms (0.8%)

Compiler

Compiled 5751 to 3280 computations (43% saved)

prune63.0ms (0.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New27312285
Fresh000
Picked112
Done000
Total27413287
Accurracy
100.0%
Counts
287 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
99.3%
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
98.8%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
▶99.2%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶60.9%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.2%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶98.8%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
▶99.3%
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
99.2%
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
75.4%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
99.2%
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
99.3%
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
98.8%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
▶99.2%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶60.9%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.2%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶98.8%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
▶99.3%
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
99.2%
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
75.4%
(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Compiler

Compiled 816 to 602 computations (26.2% saved)

localize392.0ms (3.5%)

Local Accuracy

Found 17 expressions with local accuracy:

NewAccuracyProgram
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.3%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.1%
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
✓99.0%
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.6%
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓99.3%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 1 (neg.f64 (sqrt.f64 2)))
✓99.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓99.5%
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.6%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 1 (sqrt.f64 2))
✓100.0%
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
✓99.7%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓99.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓99.5%
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
Compiler

Compiled 235 to 107 computations (54.5% saved)

series80.0ms (0.7%)

Counts
14 → 252
Calls

63 calls:

TimeVariablePointExpression
33.0ms
th
@inf
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
11.0ms
th
@inf
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
8.0ms
th
@0
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
6.0ms
th
@inf
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
th
@-inf
(/.f64 (cos.f64 th) (pow.f64 2 1/4))

rewrite78.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
664×add-sqr-sqrt
652×pow1
650×*-un-lft-identity
618×add-exp-log
618×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030324
1686324
Stop Event
1×node limit
Counts
14 → 446
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 1 (neg.f64 (sqrt.f64 2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))) -2)
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (-.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 a1 a2) -2))
(/.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(fma.f64 a2 (cos.f64 th) (*.f64 (cos.f64 th) a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(fma.f64 (cos.f64 th) a2 (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(-.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)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(*.f64 a1 a1)
(*.f64 a1 -2)
(*.f64 -2 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(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 a2 a1))) -2)
(-.f64 (/.f64 a1 (-.f64 a1 a2)) (/.f64 a2 (-.f64 a1 a2)))
(-.f64 (/.f64 a2 (-.f64 a2 a1)) (/.f64 a1 (-.f64 a2 a1)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a2 a1) -2)
(*.f64 -2 (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) -2)
(/.f64 (+.f64 a2 a1) (*.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (*.f64 a1 a2))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) -2))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(/.f64 (cbrt.f64 (-.f64 a1 a2)) (cbrt.f64 (-.f64 a1 a2)))
(/.f64 (cbrt.f64 (-.f64 a2 a1)) (cbrt.f64 (-.f64 a2 a1)))
(/.f64 (*.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (-.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (sqrt.f64 (-.f64 a1 a2)) (sqrt.f64 (-.f64 a1 a2)))
(/.f64 (sqrt.f64 (-.f64 a2 a1)) (sqrt.f64 (-.f64 a2 a1)))
(/.f64 (+.f64 (*.f64 a2 a1) (*.f64 a2 a1)) (*.f64 a2 a1))
(/.f64 (+.f64 a2 (*.f64 a2 a1)) a2)
(/.f64 (+.f64 (*.f64 a2 a1) a2) (*.f64 a2 a1))
(/.f64 (+.f64 a2 (*.f64 a2 (neg.f64 a1))) a2)
(/.f64 (+.f64 (*.f64 a2 a1) a1) a1)
(/.f64 (+.f64 (*.f64 a2 a1) -2) a1)
(/.f64 (+.f64 a2 (neg.f64 a1)) -2)
(/.f64 (+.f64 a1 (*.f64 a2 a1)) (*.f64 a2 a1))
(/.f64 (+.f64 -2 (*.f64 a2 a1)) a2)
(/.f64 (+.f64 -2 (*.f64 a2 (neg.f64 a1))) a2)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) a1) a1) a1)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) -2) a1) -2)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) a1) -2) a1)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) -2) (neg.f64 a1)) -2)
(/.f64 (+.f64 (*.f64 a1 a2) (*.f64 a1 a2)) (*.f64 a1 a2))
(/.f64 (+.f64 a1 (*.f64 a1 a2)) a1)
(/.f64 (+.f64 (*.f64 a1 a2) a1) (*.f64 a1 a2))
(/.f64 (+.f64 a1 (*.f64 a1 (neg.f64 a2))) a1)
(/.f64 (+.f64 (*.f64 a1 a2) a2) a2)
(/.f64 (+.f64 (*.f64 a1 a2) -2) a2)
(/.f64 (+.f64 a1 (neg.f64 a2)) -2)
(/.f64 (+.f64 a2 (*.f64 a1 a2)) (*.f64 a1 a2))
(/.f64 (+.f64 -2 (*.f64 a1 a2)) a1)
(/.f64 (+.f64 -2 (*.f64 a1 (neg.f64 a2))) a1)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) a2) a2) a2)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) -2) a2) -2)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) a2) -2) a2)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) -2) (neg.f64 a2)) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 a1 a2) (+.f64 a2 a1)) (*.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 a2 a1))
(/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (-.f64 a2 a1)))
(/.f64 (*.f64 (-.f64 a2 a1) (+.f64 a2 a1)) (*.f64 (-.f64 a2 a1) -2))
(/.f64 (*.f64 (-.f64 a2 a1) (+.f64 a2 a1)) (*.f64 (-.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) -2))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2)))
(/.f64 (neg.f64 (+.f64 a2 a1)) -2)
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (neg.f64 (-.f64 a2 a1)) (neg.f64 (-.f64 a2 a1)))
(pow.f64 (+.f64 a2 a1) -2)
(pow.f64 (+.f64 a2 a1) 1/3)
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(exp.f64 (*.f64 (log.f64 (+.f64 a2 a1)) -2))
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(fma.f64 a2 a2 a1)
(fma.f64 a2 -2 a1)
(fma.f64 a1 a1 a2)
(fma.f64 a1 -2 a2)
(fma.f64 -2 a2 a1)
(fma.f64 -2 a1 a2)
-2
-1
-1/2
-1/4
1/262144
1/4096
1/512
1/256
1/64
1/16
1/8
1/4
1/2
1
5/4
2
3
4
6
8
9
16
27
64
512
(+.f64 a2 a1)
(+.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) -2)
(-.f64 (/.f64 a1 (-.f64 a1 a2)) (/.f64 a2 (-.f64 a1 a2)))
(-.f64 (/.f64 a2 (-.f64 a2 a1)) (/.f64 a1 (-.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) -2)
(/.f64 (+.f64 a2 a1) (*.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (*.f64 a1 a2))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) -2))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(/.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(/.f64 (cbrt.f64 (-.f64 a1 a2)) (cbrt.f64 (-.f64 a1 a2)))
(/.f64 (cbrt.f64 (-.f64 a2 a1)) (cbrt.f64 (-.f64 a2 a1)))
(/.f64 (*.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (*.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (-.f64 a2 a1) (-.f64 a2 a1)))
(/.f64 (sqrt.f64 (-.f64 a1 a2)) (sqrt.f64 (-.f64 a1 a2)))
(/.f64 (sqrt.f64 (-.f64 a2 a1)) (sqrt.f64 (-.f64 a2 a1)))
(/.f64 (+.f64 (*.f64 a2 a1) (*.f64 a2 a1)) (*.f64 a2 a1))
(/.f64 (+.f64 a2 (*.f64 a2 a1)) a2)
(/.f64 (+.f64 (*.f64 a2 a1) a2) (*.f64 a2 a1))
(/.f64 (+.f64 a2 (*.f64 a2 (neg.f64 a1))) a2)
(/.f64 (+.f64 (*.f64 a2 a1) a1) a1)
(/.f64 (+.f64 (*.f64 a2 a1) -2) a1)
(/.f64 (+.f64 a2 (neg.f64 a1)) -2)
(/.f64 (+.f64 a1 (*.f64 a2 a1)) (*.f64 a2 a1))
(/.f64 (+.f64 -2 (*.f64 a2 a1)) a2)
(/.f64 (+.f64 -2 (*.f64 a2 (neg.f64 a1))) a2)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) a1) a1) a1)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) -2) a1) -2)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) a1) -2) a1)
(/.f64 (+.f64 (*.f64 (neg.f64 a2) -2) (neg.f64 a1)) -2)
(/.f64 (+.f64 (*.f64 a1 a2) (*.f64 a1 a2)) (*.f64 a1 a2))
(/.f64 (+.f64 a1 (*.f64 a1 a2)) a1)
(/.f64 (+.f64 (*.f64 a1 a2) a1) (*.f64 a1 a2))
(/.f64 (+.f64 a1 (*.f64 a1 (neg.f64 a2))) a1)
(/.f64 (+.f64 (*.f64 a1 a2) a2) a2)
(/.f64 (+.f64 (*.f64 a1 a2) -2) a2)
(/.f64 (+.f64 a1 (neg.f64 a2)) -2)
(/.f64 (+.f64 a2 (*.f64 a1 a2)) (*.f64 a1 a2))
(/.f64 (+.f64 -2 (*.f64 a1 a2)) a1)
(/.f64 (+.f64 -2 (*.f64 a1 (neg.f64 a2))) a1)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) a2) a2) a2)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) -2) a2) -2)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) a2) -2) a2)
(/.f64 (+.f64 (*.f64 (neg.f64 a1) -2) (neg.f64 a2)) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a1 a2)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 a1 a2) (+.f64 a2 a1)) (*.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (-.f64 a2 a1))
(/.f64 (*.f64 (+.f64 a2 a1) (-.f64 a2 a1)) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (-.f64 a2 a1)))
(/.f64 (*.f64 (-.f64 a2 a1) (+.f64 a2 a1)) (*.f64 (-.f64 a2 a1) -2))
(/.f64 (*.f64 (-.f64 a2 a1) (+.f64 a2 a1)) (*.f64 (-.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) -2))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2)))
(/.f64 (neg.f64 (+.f64 a2 a1)) -2)
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))))
(/.f64 (neg.f64 (-.f64 a2 a1)) (neg.f64 (-.f64 a2 a1)))
(pow.f64 (+.f64 a2 a1) -2)
(pow.f64 (+.f64 a2 a1) 1/3)
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a2 a1))))
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(exp.f64 (*.f64 (log.f64 (+.f64 a2 a1)) -2))
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(fma.f64 a2 a2 a1)
(fma.f64 a2 -2 a1)
(fma.f64 a1 a1 a2)
(fma.f64 a1 -2 a2)
(fma.f64 -2 a2 a1)
(fma.f64 -2 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(/.f64 (*.f64 a2 (cos.f64 th)) -2)
(/.f64 (neg.f64 (*.f64 a2 (cos.f64 th))) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(*.f64 a2 a2)
(*.f64 a2 -2)
(*.f64 -2 a2)
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
-2
-1
-1/2
-1/4
1/262144
1/4096
1/512
1/256
1/64
1/16
1/8
1/4
1/2
1
5/4
2
3
4
6
8
9
16
27
64
512
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(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))) -2)
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (-.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 a1 a2) -2))
(/.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(fma.f64 a2 (cos.f64 th) (*.f64 (cos.f64 th) a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(fma.f64 (cos.f64 th) a2 (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(/.f64 -2 (cos.f64 th))
(/.f64 (cos.f64 th) -2)
(/.f64 (cos.f64 th) (cos.f64 th))
(/.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)
(neg.f64 (cos.f64 th))
(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 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(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 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(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 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))) -2)
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (-.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 a1 a2) -2))
(/.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(fma.f64 a2 (cos.f64 th) (*.f64 (cos.f64 th) a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(fma.f64 (cos.f64 th) a2 (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))

simplify179.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
880×distribute-lft-in
816×distribute-rgt-in
784×associate-/l*
764×associate-+l+
746×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047416232
1106315606
2279314848
Stop Event
1×node limit
Counts
698 → 448
Calls
Call 1
Inputs
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 1/24 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 4))))))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 1/24 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 4)))))))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(/.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 (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 (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 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 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 (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 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 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 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 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) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 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) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 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) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
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1/262144
1/4096
1/512
1/256
1/64
1/16
1/8
1/4
1/2
1
5/4
2
3
4
6
8
9
16
27
64
512
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1/262144
1/4096
1/512
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1/64
1/16
1/8
1/4
1/2
1
5/4
2
3
4
6
8
9
16
27
64
512
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(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(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 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(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 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))) -2)
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) (cos.f64 th)))
(/.f64 (*.f64 (-.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 a1 a2) -2))
(/.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(fma.f64 a2 (cos.f64 th) (*.f64 (cos.f64 th) a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(fma.f64 (cos.f64 th) a2 (*.f64 a1 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
Outputs
(+.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 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 th th)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 1/24 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 4))))))
(fma.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 th th)) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 (*.f64 1/24 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (pow.f64 th 4))))
(+.f64 (fma.f64 1/24 (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (*.f64 th th))))))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 1/24 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (pow.f64 th 4)))))))
(fma.f64 -1/720 (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 th th)) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 (*.f64 1/24 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (pow.f64 th 4)))))
(fma.f64 -1/720 (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 th 6)) (+.f64 (fma.f64 1/24 (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 th 4)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 th th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 th 4)) 1) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(+.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 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (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 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (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 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(/.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 a2 (/.f64 (sqrt.f64 2) a2)) (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 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (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 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (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 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cos.f64 th))
(/.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 a2 (/.f64 (sqrt.f64 2) a2)) (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 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cos.f64 th))
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(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(-.f64 (cos.f64 th) -2)
(+.f64 (cos.f64 th) 2)
(+.f64 2 (cos.f64 th))
(-.f64 0 (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(cbrt.f64 (cos.f64 th))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(/.f64 (cos.f64 th) 1)
(cos.f64 th)
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(/.f64 (cos.f64 th) 1)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(/.f64 (cos.f64 th) 1)
(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)))
(/.f64 (cos.f64 th) 1)
(cos.f64 th)
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(-.f64 (cos.f64 th) -2)
(+.f64 (cos.f64 th) 2)
(+.f64 2 (cos.f64 th))
(-.f64 0 (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(cbrt.f64 (cos.f64 th))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(/.f64 (cos.f64 th) 1)
(cos.f64 th)
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(/.f64 (cos.f64 th) 1)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(/.f64 (cos.f64 th) 1)
(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)))
(/.f64 (cos.f64 th) 1)
(cos.f64 th)
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 (cos.f64 th) a1) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (fma.f64 (fma.f64 -1 a2 1) a1 a2)))
(/.f64 (/.f64 (+.f64 a2 a1) (fma.f64 (-.f64 1 a2) a1 a2)) (cos.f64 th))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (/.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (*.f64 (cos.f64 th) (fma.f64 (fma.f64 -1 a2 1) a1 a2)))
(/.f64 (/.f64 (+.f64 a2 a1) (fma.f64 (-.f64 1 a2) a1 a2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(/.f64 (+.f64 a2 a1) (/.f64 -2 (cos.f64 th)))
(*.f64 (/.f64 (+.f64 a2 a1) -2) (cos.f64 th))
(*.f64 (+.f64 a2 a1) (*.f64 -1/2 (cos.f64 th)))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a2 a1) (/.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (cos.f64 th)))
(/.f64 (+.f64 a2 a1) (/.f64 (fma.f64 (fma.f64 -1 a2 1) a1 a2) (cos.f64 th)))
(*.f64 (/.f64 (+.f64 a2 a1) (fma.f64 (-.f64 1 a2) a1 a2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) (*.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(*.f64 (/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1)))) (/.f64 (cos.f64 th) -2))
(/.f64 (+.f64 a2 a1) (*.f64 -2 (/.f64 (fma.f64 (fma.f64 -1 a2 1) a1 a2) (cos.f64 th))))
(*.f64 (/.f64 (+.f64 a2 a1) (fma.f64 (-.f64 1 a2) a1 a2)) (*.f64 -1/2 (cos.f64 th)))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 1 (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (cos.f64 th) 1)
(cos.f64 th)
(/.f64 (*.f64 (-.f64 a1 a2) -2) (*.f64 (-.f64 a1 a2) (cos.f64 th)))
(*.f64 1 (/.f64 -2 (cos.f64 th)))
(/.f64 -2 (cos.f64 th))
(/.f64 (*.f64 (-.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 a1 a2) -2))
(*.f64 1 (/.f64 (cos.f64 th) -2))
(/.f64 (cos.f64 th) -2)
(*.f64 -1/2 (cos.f64 th))
(/.f64 (neg.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2)
(/.f64 (*.f64 (+.f64 a2 a1) (neg.f64 (cos.f64 th))) -2)
(/.f64 (*.f64 (cos.f64 th) (-.f64 (neg.f64 a1) a2)) -2)
(*.f64 (*.f64 1/2 (+.f64 a2 a1)) (cos.f64 th))
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(pow.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)) 1/3)
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(sqrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(fabs.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (+.f64 a2 a1)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))))
(cbrt.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))) -2))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a2 a1)) -2)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a2 a1) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a2 (cos.f64 th) (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a2 (cos.f64 th) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (fma.f64 a2 -2 a1))
(fma.f64 -2 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (fma.f64 a2 -2 a1))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 (cos.f64 th) a1))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (cos.f64 th) a2 (*.f64 (cos.f64 th) a1))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 (cos.f64 th) a2 (*.f64 a1 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a2 a1))

eval161.0ms (1.4%)

Compiler

Compiled 9966 to 4891 computations (50.9% saved)

prune133.0ms (1.2%)

Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New59824622
Fresh437
Picked235
Done011
Total60431635
Accurracy
100.0%
Counts
635 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.0%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶6.9%
(/.f64 a2 (/.f64 2 (cos.f64 th)))
▶5.1%
(+.f64 a1 a2)
61.0%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
98.8%
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
✓60.9%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.3%
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
✓99.2%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.6%
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
▶2.9%
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
3.2%
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
✓99.3%
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
▶99.2%
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
56.4%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
41.4%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.6%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.3%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶40.0%
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.6%
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.3%
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.5%
(cos.f64 th)
61.0%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶6.9%
(/.f64 a2 (/.f64 2 (cos.f64 th)))
▶5.1%
(+.f64 a1 a2)
61.0%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
98.8%
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
✓60.9%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.3%
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
✓99.2%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.6%
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
▶2.9%
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
3.2%
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
✓99.3%
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
▶99.2%
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
56.4%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
41.4%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.6%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.3%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶40.0%
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.6%
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.3%
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.5%
(cos.f64 th)
Compiler

Compiled 1512 to 1050 computations (30.6% saved)

localize163.0ms (1.5%)

Local Accuracy

Found 8 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
✓99.8%
(/.f64 2 (cos.f64 th))
✓99.7%
(/.f64 a2 (/.f64 2 (cos.f64 th)))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.8%
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
✓99.5%
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
✓99.3%
(/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))
Compiler

Compiled 113 to 47 computations (58.4% saved)

series27.0ms (0.2%)

Counts
7 → 160
Calls

42 calls:

TimeVariablePointExpression
5.0ms
a1
@0
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
4.0ms
a2
@0
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
2.0ms
th
@0
(/.f64 a2 (/.f64 2 (cos.f64 th)))
1.0ms
a2
@0
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
1.0ms
a1
@0
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))

rewrite117.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
1488×prod-diff
508×add-sqr-sqrt
494×pow1
492×*-un-lft-identity
474×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025143
1546137
26769137
Stop Event
1×node limit
Counts
7 → 206
Calls
Call 1
Inputs
(/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 2 (cos.f64 th))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))) 1)
(*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
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(*.f64 (cbrt.f64 (/.f64 2 (cos.f64 th))) (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 2 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 2 (cos.f64 th))) (sqrt.f64 (/.f64 2 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) 2)
(pow.f64 (/.f64 2 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 2 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (cos.f64 th))) 2)
(pow.f64 (*.f64 (cos.f64 th) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 2 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 2 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)))) 1)
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 a2) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 -4) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 a2 -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 -2) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))

simplify140.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
906×associate-*r*
822×associate-*l*
778×fma-def
662×associate-/l*
626×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
080814986
1220414142
Stop Event
1×node limit
Counts
366 → 420
Calls
Call 1
Inputs
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a1 6) (*.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 a2 6) (*.f64 (sqrt.f64 2) (pow.f64 a1 5)))))))
(*.f64 -1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1 (/.f64 a1 (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (+.f64 (*.f64 -1 (/.f64 a1 (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1)))))
(+.f64 (*.f64 1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (+.f64 (*.f64 -1 (/.f64 a1 (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (*.f64 -1/16 (/.f64 (pow.f64 a2 6) (*.f64 (sqrt.f64 2) (pow.f64 a1 5)))))))
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 1/16 (/.f64 (pow.f64 a2 6) (*.f64 (sqrt.f64 2) (pow.f64 a1 5)))))))
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a1 6) (*.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2)))))
(*.f64 -1 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (*.f64 -1 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (*.f64 -1 (/.f64 a2 (sqrt.f64 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (+.f64 (*.f64 -1/16 (/.f64 (pow.f64 a1 6) (*.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (*.f64 -1 (/.f64 a2 (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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 12) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (*.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 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 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (*.f64 (cos.f64 th) (pow.f64 a2 8))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (*.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (*.f64 (pow.f64 a2 8) (cos.f64 th))) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (*.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))))))) (*.f64 (cos.f64 th) (pow.f64 a2 12))) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a1 6)) (*.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2)))))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a1 6)) (*.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a1 4)) (*.f64 1/4 (pow.f64 a1 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 2))))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
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(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2)) 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 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)
(/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (hypot.f64 a1 a2) (*.f64 (/.f64 1 (hypot.f64 a1 a2)) (sqrt.f64 2)))
(/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (/.f64 1 (hypot.f64 a1 a2)))
(/.f64 1 (*.f64 (/.f64 1 (hypot.f64 a1 a2)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) (/.f64 1 (hypot.f64 a1 a2))))
(/.f64 1 (/.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (/.f64 1 (cbrt.f64 (/.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 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 1 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))))
(/.f64 (neg.f64 (hypot.f64 a1 a2)) (*.f64 (/.f64 1 (hypot.f64 a1 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (hypot.f64 a1 a2)) (*.f64 -1 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(/.f64 (neg.f64 (hypot.f64 a1 a2)) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) -1))
(/.f64 (neg.f64 (hypot.f64 a1 a2)) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (hypot.f64 a1 a2))))
(/.f64 (+.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 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (hypot.f64 a1 a2)) (neg.f64 (hypot.f64 a1 a2))) (*.f64 -1 (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (neg.f64 (hypot.f64 a1 a2)) (neg.f64 (hypot.f64 a1 a2))) (*.f64 (neg.f64 (sqrt.f64 2)) -1))
(/.f64 (*.f64 (hypot.f64 a1 a2) (neg.f64 (hypot.f64 a1 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (hypot.f64 a1 a2) (neg.f64 (hypot.f64 a1 a2))) (*.f64 (sqrt.f64 2) -1))
(/.f64 (*.f64 (neg.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (hypot.f64 a1 a2)) (hypot.f64 a1 a2)) (*.f64 (neg.f64 (sqrt.f64 2)) 1))
(/.f64 (neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) -1)
(/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (neg.f64 (hypot.f64 a1 a2))) -1)
(/.f64 (*.f64 (neg.f64 (hypot.f64 a1 a2)) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))) -1)
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (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)
(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 (hypot.f64 a1 a2) 3) (pow.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) 3) (pow.f64 (hypot.f64 a1 a2) 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 a1 (*.f64 a1 1/16)) (*.f64 a2 (*.f64 a2 1/16)))
(+.f64 (*.f64 a2 (*.f64 a2 1/16)) (*.f64 a1 (*.f64 a1 1/16)))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 1/16)) 1) (*.f64 (*.f64 a2 (*.f64 a2 1/16)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/16)) 3) (pow.f64 (*.f64 a2 (*.f64 a2 1/16)) 3)) (+.f64 (*.f64 (*.f64 a1 (*.f64 a1 1/16)) (*.f64 a1 (*.f64 a1 1/16))) (-.f64 (*.f64 (*.f64 a2 (*.f64 a2 1/16)) (*.f64 a2 (*.f64 a2 1/16))) (*.f64 (*.f64 a1 (*.f64 a1 1/16)) (*.f64 a2 (*.f64 a2 1/16))))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (*.f64 a1 1/16)) (*.f64 a1 (*.f64 a1 1/16))) (*.f64 (*.f64 a2 (*.f64 a2 1/16)) (*.f64 a2 (*.f64 a2 1/16)))) (-.f64 (*.f64 a1 (*.f64 a1 1/16)) (*.f64 a2 (*.f64 a2 1/16))))
(/.f64 (*.f64 1/16 (+.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 1/16 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1/16) (-.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)) 1/16) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) 1/4) 2)
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/256))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1/16))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/16 (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 1/16 (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 1/16)))
(fma.f64 (*.f64 a1 a1) 1/16 (*.f64 a2 (*.f64 a2 1/16)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)))) 1)
(*.f64 a2 (*.f64 (cos.f64 th) 1/2))
(*.f64 (cos.f64 th) (*.f64 a2 1/2))
(*.f64 1 (*.f64 (cos.f64 th) (*.f64 a2 1/2)))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 1)
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (*.f64 (cos.f64 th) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (*.f64 (cos.f64 th) 1/2)))
(*.f64 1/2 (/.f64 a2 (/.f64 1 (cos.f64 th))))
(*.f64 (neg.f64 a2) (/.f64 1 (/.f64 -2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) 1/2) a2)
(*.f64 (*.f64 a2 1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))) (/.f64 a2 (cbrt.f64 (/.f64 2 (cos.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 2 (cos.f64 th)))) (/.f64 a2 (sqrt.f64 (/.f64 2 (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 2) (/.f64 (cbrt.f64 a2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (/.f64 2 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 2 (cos.f64 th)))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (/.f64 2 (cos.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 a2) 2) (/.f64 (sqrt.f64 a2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (/.f64 2 (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))) (/.f64 (sqrt.f64 a2) (cbrt.f64 (/.f64 2 (cos.f64 th)))))
(*.f64 (*.f64 (*.f64 a2 1/2) 1) (cos.f64 th))
(*.f64 (*.f64 (*.f64 a2 1/2) (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 1/2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 a2 1) (*.f64 (cos.f64 th) 1/2))
(*.f64 (/.f64 a2 -2) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 2)
(pow.f64 (/.f64 2 (*.f64 a2 (cos.f64 th))) -1)
(neg.f64 (/.f64 a2 (/.f64 -2 (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 (cos.f64 th) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 2 (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (cos.f64 th)))) 1)
(*.f64 2 (/.f64 1 (cos.f64 th)))
(*.f64 1 (/.f64 2 (cos.f64 th)))
(*.f64 (/.f64 2 (cos.f64 th)) 1)
(*.f64 -2 (/.f64 1 (neg.f64 (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 2 (cos.f64 th))) (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 2 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 2 (cos.f64 th))) (sqrt.f64 (/.f64 2 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) 2)
(pow.f64 (/.f64 2 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 2 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (cos.f64 th))) 2)
(pow.f64 (*.f64 (cos.f64 th) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 2 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 2 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)))) 1)
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 3) 1/3)
(pow.f64 (*.f64 (/.f64 1 a2) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 -4) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 a2 -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 -2) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
Outputs
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a2)) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2))))
(fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3))) (fma.f64 1/2 (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3))) (fma.f64 1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a2)) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3)))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 a1 6) (*.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 2) a2))) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3))) (fma.f64 1/16 (/.f64 (pow.f64 a1 6) (*.f64 (sqrt.f64 2) (pow.f64 a2 5))) (fma.f64 1/2 (/.f64 (*.f64 a1 a1) (*.f64 a2 (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))))
(fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (*.f64 (sqrt.f64 2) (pow.f64 a2 3))) (fma.f64 1/16 (/.f64 (pow.f64 a1 6) (*.f64 (sqrt.f64 2) (pow.f64 a2 5))) (fma.f64 1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 a1 a2)) (/.f64 a2 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) a1)) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) a1) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 a2 2) (*.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3)))) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) a1)) (fma.f64 -1/8 (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 2) (pow.f64 a1 3))) (/.f64 a1 (sqrt.f64 2))))
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(*.f64 (/.f64 1 (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))) (/.f64 a2 (cbrt.f64 (/.f64 2 (cos.f64 th)))))
(/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (cos.f64 th)))) (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))))
(*.f64 (*.f64 (*.f64 a2 1/2) 1) (cos.f64 th))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(*.f64 (*.f64 (*.f64 a2 1/2) (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 a2 1/2) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th))))
(*.f64 a2 (*.f64 1/2 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th)))))
(*.f64 (*.f64 (*.f64 a2 1/2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(*.f64 (/.f64 a2 1) (*.f64 (cos.f64 th) 1/2))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(*.f64 (/.f64 a2 -2) (neg.f64 (cos.f64 th)))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 1)
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 3)
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 3) 1/3)
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 2)
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(pow.f64 (/.f64 2 (*.f64 a2 (cos.f64 th))) -1)
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(neg.f64 (/.f64 a2 (/.f64 -2 (cos.f64 th))))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 2))
(sqrt.f64 (pow.f64 (*.f64 a2 (*.f64 1/2 (cos.f64 th))) 2))
(fabs.f64 (*.f64 a2 (*.f64 1/2 (cos.f64 th))))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 (cos.f64 th) 1/2)))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)))))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2)) 3))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 2 (cos.f64 th)) 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (/.f64 8 (pow.f64 (cos.f64 th) 3))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))) 1))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a2 1/2))))
(*.f64 a2 (*.f64 1/2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (cos.f64 th)))) 1)
(/.f64 2 (cos.f64 th))
(*.f64 2 (/.f64 1 (cos.f64 th)))
(/.f64 2 (cos.f64 th))
(*.f64 1 (/.f64 2 (cos.f64 th)))
(/.f64 2 (cos.f64 th))
(*.f64 (/.f64 2 (cos.f64 th)) 1)
(/.f64 2 (cos.f64 th))
(*.f64 -2 (/.f64 1 (neg.f64 (cos.f64 th))))
(/.f64 2 (cos.f64 th))
(*.f64 (cbrt.f64 (/.f64 2 (cos.f64 th))) (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 2 (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 2 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 2 (cos.f64 th))) (sqrt.f64 (/.f64 2 (cos.f64 th))))
(/.f64 2 (cos.f64 th))
(*.f64 (/.f64 1 (cos.f64 th)) 2)
(/.f64 2 (cos.f64 th))
(pow.f64 (/.f64 2 (cos.f64 th)) 1)
(/.f64 2 (cos.f64 th))
(pow.f64 (cbrt.f64 (/.f64 2 (cos.f64 th))) 3)
(/.f64 2 (cos.f64 th))
(pow.f64 (pow.f64 (/.f64 2 (cos.f64 th)) 3) 1/3)
(/.f64 2 (cos.f64 th))
(pow.f64 (sqrt.f64 (/.f64 2 (cos.f64 th))) 2)
(/.f64 2 (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) 1/2) -1)
(/.f64 2 (cos.f64 th))
(sqrt.f64 (/.f64 4 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 2 (cos.f64 th))))
(/.f64 2 (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (cos.f64 th)))))
(/.f64 2 (cos.f64 th))
(cbrt.f64 (pow.f64 (/.f64 2 (cos.f64 th)) 3))
(/.f64 2 (cos.f64 th))
(expm1.f64 (log1p.f64 (/.f64 2 (cos.f64 th))))
(/.f64 2 (cos.f64 th))
(exp.f64 (log.f64 (/.f64 2 (cos.f64 th))))
(/.f64 2 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (cos.f64 th))) 1))
(/.f64 2 (cos.f64 th))
(log1p.f64 (expm1.f64 (/.f64 2 (cos.f64 th))))
(/.f64 2 (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 1)
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))) 3)
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 3) 1/3)
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 (/.f64 1 a2) (sqrt.f64 (cos.f64 th))) 2)
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(sqrt.f64 (*.f64 (pow.f64 a2 -4) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a2 -4)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2)) 3))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 a2 -2) 3)))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 a2 -2) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))) 1))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 a2 -2))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))

eval388.0ms (3.5%)

Compiler

Compiled 10519 to 6975 computations (33.7% saved)

prune232.0ms (2.1%)

Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New42710437
Fresh12122
Picked325
Done134
Total43236468
Accurracy
100.0%
Counts
468 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
61.0%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
▶99.6%
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
98.8%
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
2.9%
(/.f64 (cos.f64 th) (*.f64 a2 a2))
99.0%
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
✓6.9%
(/.f64 a2 (/.f64 2 (cos.f64 th)))
5.8%
(/.f64 a2 (+.f64 2 (*.f64 th th)))
▶5.1%
(/.f64 a2 2)
6.9%
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
2.4%
(/.f64 1 (*.f64 a2 a2))
✓5.1%
(+.f64 a1 a2)
61.0%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
98.8%
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
✓60.9%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.3%
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
✓99.2%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.6%
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
▶56.4%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
▶99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
40.0%
(*.f64 a2 (*.f64 a2 1/16))
11.5%
(*.f64 a1 (*.f64 a1 1/16))
41.4%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.6%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.3%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.6%
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.3%
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶20.7%
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.5%
(cos.f64 th)
99.3%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
61.0%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
▶99.6%
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
98.8%
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
2.9%
(/.f64 (cos.f64 th) (*.f64 a2 a2))
99.0%
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
✓6.9%
(/.f64 a2 (/.f64 2 (cos.f64 th)))
5.8%
(/.f64 a2 (+.f64 2 (*.f64 th th)))
▶5.1%
(/.f64 a2 2)
6.9%
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
2.4%
(/.f64 1 (*.f64 a2 a2))
✓5.1%
(+.f64 a1 a2)
61.0%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
98.8%
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
✓60.9%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
60.3%
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
✓99.2%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.6%
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
▶56.4%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
▶99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
40.0%
(*.f64 a2 (*.f64 a2 1/16))
11.5%
(*.f64 a1 (*.f64 a1 1/16))
41.4%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.6%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.3%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.6%
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.3%
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶20.7%
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.5%
(cos.f64 th)
Compiler

Compiled 1600 to 1144 computations (28.5% saved)

localize163.0ms (1.5%)

Local Accuracy

Found 9 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓99.4%
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
98.9%
(/.f64 (cos.f64 th) (sqrt.f64 2))
✓99.8%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
100.0%
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓99.7%
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.8%
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
✓99.8%
(*.f64 (hypot.f64 a1 a2) (cos.f64 th))
✓99.4%
(/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))
Compiler

Compiled 111 to 42 computations (62.2% saved)

series15.0ms (0.1%)

Counts
7 → 192
Calls

48 calls:

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

rewrite144.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1536×prod-diff
484×add-sqr-sqrt
472×pow1
472×*-un-lft-identity
446×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022159
1479157
26603157
Stop Event
1×node limit
Counts
7 → 184
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))
(*.f64 (hypot.f64 a1 a2) (cos.f64 th))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (hypot.f64 a1 a2)))
(*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (hypot.f64 a1 a2))))
(*.f64 (/.f64 1 (hypot.f64 a1 a2)) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (hypot.f64 a1 a2))))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 a1 a2))) (/.f64 (sqrt.f64 2) (sqrt.f64 (hypot.f64 a1 a2))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (hypot.f64 a1 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (hypot.f64 a1 a2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (hypot.f64 a1 a2))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (hypot.f64 a1 a2))))
(pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) 2)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (hypot.f64 a1 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (hypot.f64 a1 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (hypot.f64 a1 a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 1))
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(*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) (/.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))) (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) 1) (hypot.f64 a1 a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2)) (cbrt.f64 (hypot.f64 a1 a2)))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (neg.f64 (sqrt.f64 2))) (neg.f64 (hypot.f64 a1 a2)))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 3)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (hypot.f64 a1 a2))) -1)
(neg.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (hypot.f64 a1 a2))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (hypot.f64 a1 a2)) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) (pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(+.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 (*.f64 -1/4 a2) a2))
(+.f64 (*.f64 (*.f64 -1/4 a2) a2) (*.f64 a1 (*.f64 a1 -1/4)))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 -1/4)) 1) (*.f64 (*.f64 (*.f64 -1/4 a2) a2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
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(/.f64 (*.f64 -1/4 (+.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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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) -1/4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
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(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/16))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)))))
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(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2))))
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(pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))

simplify138.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1154×associate-*r*
1120×fma-def
936×associate-*l*
596×times-frac
584×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081716254
1233414930
Stop Event
1×node limit
Counts
376 → 450
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (pow.f64 a2 2))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7)))))) (/.f64 (sqrt.f64 2) a2))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (pow.f64 a1 7))))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2)) (pow.f64 a1 7))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 7))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a1 2)))) (pow.f64 a2 6))) (+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4))))))
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (pow.f64 a2 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))) (pow.f64 a2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)) (pow.f64 a2 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))))))
(*.f64 (cos.f64 th) a2)
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)))
(+.f64 (*.f64 (cos.f64 th) a2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3)))))
(+.f64 (*.f64 (cos.f64 th) a2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a1 6) (cos.f64 th)) (pow.f64 a2 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3))))))
(*.f64 a1 (cos.f64 th))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 4)) (pow.f64 a1 3))) (*.f64 a1 (cos.f64 th))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 6)) (pow.f64 a1 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 4)) (pow.f64 a1 3))) (*.f64 a1 (cos.f64 th)))))
(*.f64 -1 (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (*.f64 -1 (*.f64 a1 (cos.f64 th))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (+.f64 (*.f64 -1 (*.f64 a1 (cos.f64 th))) (*.f64 1/8 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 4)) (pow.f64 a1 3)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 6)) (pow.f64 a1 5))) (+.f64 (*.f64 -1 (*.f64 a1 (cos.f64 th))) (*.f64 1/8 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 4)) (pow.f64 a1 3))))))
(*.f64 a1 (cos.f64 th))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 4)) (pow.f64 a1 3))) (*.f64 a1 (cos.f64 th))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) a1)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 6)) (pow.f64 a1 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 4)) (pow.f64 a1 3))) (*.f64 a1 (cos.f64 th)))))
(*.f64 (cos.f64 th) a2)
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)))
(+.f64 (*.f64 (cos.f64 th) a2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3)))))
(+.f64 (*.f64 (cos.f64 th) a2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 a1 6) (cos.f64 th)) (pow.f64 a2 5))) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3))))))
(*.f64 -1 (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (*.f64 -1 (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3))) (*.f64 -1 (*.f64 a2 (cos.f64 th)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 a1 6) (cos.f64 th)) (pow.f64 a2 5))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3))) (*.f64 -1 (*.f64 a2 (cos.f64 th))))))
(sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (pow.f64 th 2))) (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (pow.f64 th 4))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (pow.f64 th 2))) (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (pow.f64 th 4))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (pow.f64 th 2))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (pow.f64 th 6))) (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (cos.f64 th))
(/.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 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 12) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (*.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
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(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (hypot.f64 a1 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (hypot.f64 a1 a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))) 1)
(*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 1 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2)) (*.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 2) (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(*.f64 (*.f64 (hypot.f64 a1 a2) (neg.f64 (cos.f64 th))) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (hypot.f64 a1 a2))))
(*.f64 (pow.f64 2 -1/2) (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (hypot.f64 a1 a2))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))) (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))) (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2)) (sqrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (/.f64 1 (hypot.f64 a1 a2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2)) (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))) (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) (/.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (hypot.f64 a1 a2) 2)))) (/.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) (cbrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) 1) (hypot.f64 a1 a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2)) (cbrt.f64 (hypot.f64 a1 a2)))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (neg.f64 (sqrt.f64 2))) (neg.f64 (hypot.f64 a1 a2)))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 3)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (hypot.f64 a1 a2))) -1)
(neg.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (neg.f64 (sqrt.f64 2)) (hypot.f64 a1 a2))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (hypot.f64 a1 a2)) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) (pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))
(+.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 (*.f64 -1/4 a2) a2))
(+.f64 (*.f64 (*.f64 -1/4 a2) a2) (*.f64 a1 (*.f64 a1 -1/4)))
(+.f64 (*.f64 (*.f64 a1 (*.f64 a1 -1/4)) 1) (*.f64 (*.f64 (*.f64 -1/4 a2) a2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 a1 (*.f64 a1 -1/4)) 3) (pow.f64 (*.f64 (*.f64 -1/4 a2) a2) 3)) (+.f64 (*.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 a1 (*.f64 a1 -1/4))) (-.f64 (*.f64 (*.f64 (*.f64 -1/4 a2) a2) (*.f64 (*.f64 -1/4 a2) a2)) (*.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 (*.f64 -1/4 a2) a2)))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 a1 (*.f64 a1 -1/4))) (*.f64 (*.f64 (*.f64 -1/4 a2) a2) (*.f64 (*.f64 -1/4 a2) a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 (*.f64 -1/4 a2) a2)))
(/.f64 (*.f64 -1/4 (+.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 -1/4 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) -1/4) (-.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)) -1/4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/16))
(log.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/4 (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 -1/4 (*.f64 a1 a1) (*.f64 (*.f64 -1/4 a2) a2))
(fma.f64 (*.f64 a1 a1) -1/4 (*.f64 (*.f64 -1/4 a2) a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 1)
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 6)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (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 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))) 1)
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
Outputs
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (fma.f64 -1 (*.f64 (pow.f64 a1 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)) -3/8)) (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (-.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 (pow.f64 a1 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (pow.f64 a2 2))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7)))))) (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (fma.f64 -1 (*.f64 (pow.f64 a1 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)) -3/8)) (fma.f64 -1 (*.f64 (pow.f64 a1 6) (fma.f64 -1/2 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)) -3/8) (*.f64 a2 a2)) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7))))) (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (-.f64 (-.f64 (/.f64 (sqrt.f64 2) a2) (*.f64 (pow.f64 a1 6) (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5)) (*.f64 a2 a2)) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7)))))) (*.f64 (pow.f64 a1 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5)))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2)))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8) (pow.f64 a1 5)))))
(-.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) a1)) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (pow.f64 a1 7))))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (*.f64 -1 (+.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8) (pow.f64 a1 5)) (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8)) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (pow.f64 a1 7))))))
(+.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) a1)) (neg.f64 (+.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8) (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (*.f64 -3/8 (*.f64 a2 a2))) (*.f64 (sqrt.f64 2) (*.f64 1/8 (pow.f64 a2 6)))) (pow.f64 a1 7)))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (neg.f64 (sqrt.f64 2)) a1)
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) 1/2))
(-.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) 1/2) (/.f64 (sqrt.f64 2) a1))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8)))
(-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) 1/2 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8)) (/.f64 (sqrt.f64 2) a1))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2)) (pow.f64 a1 7))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))))
(fma.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8) (/.f64 (pow.f64 a1 7) (*.f64 a2 a2))) (fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8)))))
(fma.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7)) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 4) -3/8)) (/.f64 (pow.f64 a1 7) (*.f64 a2 a2))) (-.f64 (fma.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) 1/2 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8)) (/.f64 (sqrt.f64 2) a1))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2)))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (neg.f64 (*.f64 (pow.f64 a2 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)) -3/8)))))
(-.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) a1)) (*.f64 (pow.f64 a2 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a1 5))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 7))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a1 2)))) (pow.f64 a2 6))) (+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4))))))
(fma.f64 -1 (*.f64 (pow.f64 a2 6) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 7)) (*.f64 -1/2 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)) -3/8) (*.f64 a1 a1))))) (+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (neg.f64 (*.f64 (pow.f64 a2 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)) -3/8))))))
(-.f64 (-.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (/.f64 (sqrt.f64 2) a1)) (*.f64 (pow.f64 a2 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a1 5)))) (*.f64 (pow.f64 a2 6) (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a1 5)) (*.f64 a1 a1)) (/.f64 (*.f64 1/8 (sqrt.f64 2)) (pow.f64 a1 7)))))
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) -3/8) (pow.f64 a2 5)) (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (-.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 4) -3/8)) (pow.f64 a2 5))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (pow.f64 a2 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (fma.f64 -1 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 a1 a1) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) -3/8)) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (pow.f64 a2 7)) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) -3/8) (pow.f64 a2 5)) (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (-.f64 (-.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 4) -3/8)) (pow.f64 a2 5))) (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 4) -3/8))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 6) 1/8))) (pow.f64 a2 7))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a2))
(/.f64 (neg.f64 (sqrt.f64 2)) a2)
(neg.f64 (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a2) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) 1/2))
(-.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) 1/2) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))))
(fma.f64 -1/8 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 5) (pow.f64 a1 4))) (fma.f64 -1/4 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 5) (pow.f64 a1 4))) (fma.f64 -1 (/.f64 (sqrt.f64 2) a2) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) 1/2))))
(+.f64 (*.f64 (pow.f64 a1 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) 1/2) (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))) (pow.f64 a2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)) (pow.f64 a2 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (pow.f64 a2 7) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) -3/8))) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 7) (pow.f64 a1 6))) (fma.f64 -1/4 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 5) (pow.f64 a1 4))) (fma.f64 -1/8 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 5) (pow.f64 a1 4))) (fma.f64 -1 (/.f64 (sqrt.f64 2) a2) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) 1/2))))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a1 4) -3/8))) (pow.f64 a2 7)) (fma.f64 1/8 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 7) (pow.f64 a1 6))) (+.f64 (*.f64 (pow.f64 a1 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5))) (-.f64 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) 1/2) (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (cos.f64 th) a2)
(*.f64 a2 (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) a2) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)))
(fma.f64 (cos.f64 th) a2 (*.f64 1/2 (/.f64 (*.f64 a1 a1) (/.f64 a2 (cos.f64 th)))))
(fma.f64 a2 (cos.f64 th) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1/2) a2))
(+.f64 (*.f64 (cos.f64 th) a2) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) a2)) (*.f64 -1/8 (/.f64 (*.f64 (pow.f64 a1 4) (cos.f64 th)) (pow.f64 a2 3)))))
(fma.f64 (cos.f64 th) a2 (fma.f64 1/2 (/.f64 (*.f64 a1 a1) (/.f64 a2 (cos.f64 th))) (*.f64 -1/8 (/.f64 (pow.f64 a1 4) (/.f64 (pow.f64 a2 3) (cos.f64 th))))))
(fma.f64 a2 (cos.f64 th) (fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (/.f64 (pow.f64 a2 3) (cos.f64 th))) (/.f64 (*.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1/2) a2)))
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(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/2))
(pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) 1/3)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 2))
(fabs.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(log.f64 (exp.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(exp.f64 (log.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (cos.f64 th))))
(/.f64 (*.f64 a2 a2) (*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 3)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3) 1/3)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))) 3))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))) 1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))

eval235.0ms (2.1%)

Compiler

Compiled 12323 to 7320 computations (40.6% saved)

prune111.0ms (1%)

Pruning

37 alts after pruning (32 fresh and 5 done)

PrunedKeptTotal
New50212514
Fresh62026
Picked235
Done325
Total51337550
Accurracy
100.0%
Counts
550 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.4%
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
99.3%
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
61.0%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
3.2%
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
98.8%
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
98.8%
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
60.8%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
98.8%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
2.9%
(/.f64 (cos.f64 th) (*.f64 a2 a2))
✓6.9%
(/.f64 a2 (/.f64 2 (cos.f64 th)))
✓5.1%
(/.f64 a2 2)
6.9%
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
61.0%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.2%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.8%
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
98.9%
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
40.8%
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
60.3%
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.7%
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
98.6%
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
✓56.4%
(*.f64 (cos.f64 th) (*.f64 a2 a2))
99.0%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
60.8%
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓99.0%
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
60.7%
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
40.0%
(*.f64 a2 (*.f64 a2 1/16))
41.2%
(*.f64 a2 a2)
41.4%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.6%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.3%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.6%
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.3%
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1/4 (*.f64 a2 a2))
21.0%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.7%
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.5%
(cos.f64 th)
Compiler

Compiled 1079 to 599 computations (44.5% saved)

regimes237.0ms (2.1%)

Counts
61 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.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 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(*.f64 (cos.f64 th) (*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
Outputs
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
Calls

8 calls:

58.0ms
(*.f64 a2 a2)
30.0ms
a2
28.0ms
a1
27.0ms
th
23.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 684 to 318 computations (53.5% saved)

regimes177.0ms (1.6%)

Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.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 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Outputs
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Calls

7 calls:

28.0ms
a1
27.0ms
a2
26.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
25.0ms
th
22.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.3%1a1
99.3%1a2
99.3%1th
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.3%1(cos.f64 th)
99.3%1(*.f64 a1 a1)
99.3%1(*.f64 a2 a2)
Compiler

Compiled 596 to 273 computations (54.2% saved)

regimes190.0ms (1.7%)

Counts
52 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Calls

7 calls:

52.0ms
(*.f64 a2 a2)
25.0ms
th
24.0ms
a2
24.0ms
a1
21.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.3%1th
99.3%1a1
99.3%1a2
99.3%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.3%1(cos.f64 th)
99.3%1(*.f64 a1 a1)
99.3%1(*.f64 a2 a2)
Compiler

Compiled 528 to 238 computations (54.9% saved)

regimes158.0ms (1.4%)

Counts
51 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

27.0ms
a1
24.0ms
th
24.0ms
a2
20.0ms
(*.f64 a2 a2)
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.2%1a1
99.2%1a2
99.2%1th
99.2%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.2%1(cos.f64 th)
99.2%1(*.f64 a1 a1)
99.2%1(*.f64 a2 a2)
Compiler

Compiled 516 to 233 computations (54.8% saved)

regimes182.0ms (1.6%)

Counts
49 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

51.0ms
(cos.f64 th)
24.0ms
a1
23.0ms
th
23.0ms
a2
20.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.2%1a1
99.2%1a2
99.2%1th
99.2%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.2%1(cos.f64 th)
99.2%1(*.f64 a1 a1)
99.2%1(*.f64 a2 a2)
Compiler

Compiled 490 to 219 computations (55.3% saved)

regimes179.0ms (1.6%)

Counts
47 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 1/4 1/4)))
(*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 1/4 1/4))
Outputs
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
Calls

7 calls:

42.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
25.0ms
th
24.0ms
a1
24.0ms
a2
18.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.0%1a1
99.0%1a2
99.0%1th
99.0%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.0%1(cos.f64 th)
99.0%1(*.f64 a1 a1)
99.0%1(*.f64 a2 a2)
Compiler

Compiled 463 to 210 computations (54.6% saved)

regimes156.0ms (1.4%)

Counts
41 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
Outputs
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Calls

7 calls:

48.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
20.0ms
th
19.0ms
a2
19.0ms
a1
16.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.0%1a1
99.0%1a2
99.0%1th
99.0%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.0%1(cos.f64 th)
99.0%1(*.f64 a1 a1)
99.0%1(*.f64 a2 a2)
Compiler

Compiled 407 to 184 computations (54.8% saved)

regimes143.0ms (1.3%)

Counts
36 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Outputs
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Calls

7 calls:

51.0ms
a1
17.0ms
th
17.0ms
a2
14.0ms
(*.f64 a2 a2)
14.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.0%1a1
99.0%1a2
99.0%1th
99.0%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.0%1(cos.f64 th)
99.0%1(*.f64 a1 a1)
99.0%1(*.f64 a2 a2)
Compiler

Compiled 362 to 162 computations (55.2% saved)

regimes268.0ms (2.4%)

Counts
35 → 2
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 th th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/4 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))))
(*.f64 (cos.f64 th) (pow.f64 a2 -2))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
Outputs
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Calls

6 calls:

64.0ms
a1
56.0ms
th
42.0ms
(*.f64 a1 a1)
42.0ms
(cos.f64 th)
30.0ms
a2
Results
AccuracySegmentsBranch
69.8%4a1
72.9%2a2
75.9%2th
76.1%2(cos.f64 th)
68.1%2(*.f64 a1 a1)
72.9%2(*.f64 a2 a2)
Compiler

Compiled 345 to 150 computations (56.5% saved)

regimes55.0ms (0.5%)

Counts
27 → 2
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 1 (sqrt.f64 2))))
(/.f64 1 (/.f64 (/.f64 2 a2) (cos.f64 th)))
Outputs
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
Calls

1 calls:

21.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
76.0%2(cos.f64 th)
Compiler

Compiled 217 to 90 computations (58.5% saved)

regimes36.0ms (0.3%)

Counts
24 → 2
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(/.f64 a2 (/.f64 2 (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 a2 a2))
Outputs
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
Calls

1 calls:

31.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
75.9%2(cos.f64 th)
Compiler

Compiled 195 to 76 computations (61% saved)

regimes83.0ms (0.7%)

Counts
21 → 2
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
Outputs
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
Calls

2 calls:

60.0ms
th
16.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
67.9%6th
75.7%2(cos.f64 th)
Compiler

Compiled 181 to 74 computations (59.1% saved)

regimes184.0ms (1.7%)

Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a2 a2))
(/.f64 (*.f64 (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2)))) (-.f64 (*.f64 a1 (*.f64 a1 -1/4)) (*.f64 -1/4 (*.f64 a2 a2))))
(cos.f64 th)
Outputs
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

70.0ms
a2
36.0ms
th
35.0ms
a1
16.0ms
(cos.f64 th)
15.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
45.3%2th
46.2%4a1
44.6%2(*.f64 a1 a1)
47.3%4a2
43.4%2(*.f64 a2 a2)
56.3%2(cos.f64 th)
Compiler

Compiled 195 to 84 computations (56.9% saved)

regimes70.0ms (0.6%)

Counts
16 → 4
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 a2 a2)
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

3 calls:

37.0ms
th
20.0ms
a2
10.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
41.2%1a2
43.0%3(*.f64 a1 a1)
47.1%4th
Compiler

Compiled 125 to 49 computations (60.8% saved)

regimes38.0ms (0.3%)

Counts
15 → 4
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 a2 a2)
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

35.0ms
th
Results
AccuracySegmentsBranch
47.1%4th
Compiler

Compiled 106 to 40 computations (62.3% saved)

regimes51.0ms (0.5%)

Counts
14 → 4
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/256 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/16 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 a2 a2)
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 a2)
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

48.0ms
th
Results
AccuracySegmentsBranch
47.1%4th
Compiler

Compiled 97 to 38 computations (60.8% saved)

regimes31.0ms (0.3%)

Counts
9 → 4
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a1 (*.f64 a1 1/16))
(*.f64 a2 (*.f64 a2 1/16))
(/.f64 1 (*.f64 a2 a2))
(/.f64 a2 (+.f64 2 (*.f64 th th)))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 a2 a2)
(*.f64 -1/4 (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 -1/4 (*.f64 a2 a2))
Calls

1 calls:

29.0ms
th
Results
AccuracySegmentsBranch
46.9%4th
Compiler

Compiled 52 to 28 computations (46.2% saved)

regimes10.0ms (0.1%)

Accuracy

Total -23.2b remaining (-61.6%)

Threshold costs -23.2b (-61.6%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 a2 a2)
(+.f64 a1 a2)
(/.f64 a2 2)
Outputs
(*.f64 a2 a2)
Calls

3 calls:

3.0ms
th
3.0ms
a1
3.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
41.2%1a1
41.2%1(*.f64 a2 a2)
41.2%1th
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6046667367721102
0.6718181492380717
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6046667367721102
0.6718181492380717
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.6046667367721102
0.6718181492380717
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.0010895599887048
0.008901591658297719
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.0010895599887048
0.008901591658297719
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch80.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
49.0ms
2.0599577378882628e+127
4.089176154131514e+129
11.0ms
1.56723759445465e+75
2.2632301063848554e+75
19.0ms
2.89829968831578e+43
7.140557065119611e+43
Results
33.0ms54×body512valid
21.0ms94×body256valid
15.0ms54×body512infinite
9.0ms54×body256infinite
Compiler

Compiled 414 to 288 computations (30.4% saved)

bsearch59.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
2.9546265460942233e+130
1.8021696428647936e+132
12.0ms
1.56723759445465e+75
2.2632301063848554e+75
14.0ms
2.89829968831578e+43
7.140557065119611e+43
Results
16.0ms59×body512valid
14.0ms49×body512infinite
13.0ms79×body256valid
12.0ms69×body256infinite
Compiler

Compiled 414 to 288 computations (30.4% saved)

bsearch67.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
2.0599577378882628e+127
4.089176154131514e+129
21.0ms
1.56723759445465e+75
2.2632301063848554e+75
14.0ms
2.89829968831578e+43
7.140557065119611e+43
Results
24.0ms89×body256valid
16.0ms61×body512valid
13.0ms46×body512infinite
10.0ms60×body256infinite
Compiler

Compiled 348 to 244 computations (29.9% saved)

bsearch62.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
2.9546265460942233e+130
1.8021696428647936e+132
11.0ms
1.56723759445465e+75
2.2632301063848554e+75
14.0ms
2.89829968831578e+43
7.140557065119611e+43
Results
18.0ms66×body512valid
16.0ms40×body512infinite
15.0ms95×body256valid
9.0ms55×body256infinite
Compiler

Compiled 284 to 212 computations (25.4% saved)

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
64×*-commutative
58×neg-mul-1
42×unsub-neg
28×distribute-lft-neg-in
28×distribute-rgt-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
085876
1120876
2140876
3162868
4177864
5201864
6241864
7301864
8319864
9323864
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) -1152921504606847/1152921504606846976) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) -1152921504606847/1152921504606846976) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784) (*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216) (*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784) (*.f64 a2 a2) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/4 (*.f64 a2 a2)) (if (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216) (*.f64 a2 a2) (*.f64 -1/4 (*.f64 a2 a2)))))
(*.f64 a2 a2)
Outputs
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) (/.f64 (neg.f64 1) (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (cos.f64 th) (/.f64 -1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a2))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 5854679515581645/9007199254740992) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) -1152921504606847/1152921504606846976) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) -1152921504606847/1152921504606846976) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 (cos.f64 th) -1152921504606847/1152921504606846976) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) -1152921504606847/1152921504606846976) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784) (*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (or (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (not (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/4)))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216) (*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (or (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (not (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/8)))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784) (*.f64 a2 a2) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (or (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (not (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (*.f64 a2 a2)))
(if (or (<=.f64 th 60000000000000003312112780327245144582520832) (not (or (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (not (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784))))) (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2))
(if (or (<=.f64 th 60000000000000003312112780327245144582520832) (and (not (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632)) (<=.f64 th 1500000000000000151240252050943796546948393694325110176747546534850561649531878084580524319124381790851643322094329219965238902784))) (*.f64 a2 a2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (*.f64 -1/4 (*.f64 a2 a2)) (if (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216) (*.f64 a2 a2) (*.f64 -1/4 (*.f64 a2 a2)))))
(if (<=.f64 th 60000000000000003312112780327245144582520832) (*.f64 a2 a2) (if (or (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632) (not (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216))) (*.f64 (*.f64 a2 a2) -1/4) (*.f64 a2 a2)))
(if (or (<=.f64 th 60000000000000003312112780327245144582520832) (and (not (<=.f64 th 1720000000000000002203467164266884191792108917436092967867991344645649989632)) (<=.f64 th 42999999999999998384209206213306036657873937444794823257844048355830926815223688825027471245007758572050642985128304392169079177216))) (*.f64 a2 a2) (*.f64 (*.f64 a2 a2) -1/4))
(*.f64 a2 a2)
Compiler

Compiled 362 to 229 computations (36.7% saved)

soundness2.5s (22.1%)

Rules
1874×prod-diff
1874×prod-diff
1536×prod-diff
1488×prod-diff
1154×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
26135
39135
411835
513635
615435
717435
817635
018140
1386130
24782130
025143
1546137
26769137
051619240
1132916806
2568816806
030324
1686324
081716254
1233414930
01539
13035
26135
39135
411835
513635
615435
717435
817635
030324
1686324
081716254
1233414930
030324
1686324
030324
1686324
030324
1686324
030324
1686324
051619240
1132916806
2568816806
081716254
1233414930
018140
1386130
24782130
047416232
1106315606
2279314848
022159
1479157
26603157
080814986
1220414142
080814986
1220414142
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×saturated
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 644 to 344 computations (46.6% saved)

end0.0ms (0%)

preprocess215.0ms (1.9%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 794 to 384 computations (51.6% saved)

Profiling

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