Migdal et al, Equation (64)

Details

Time bar (total: 17.1s)

analyze1.0ms (0%)

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

Compiled 23 to 16 computations (30.4% saved)

sample3.6s (21%)

Results
974.0ms3181×body256valid
789.0ms2191×body256infinite
724.0ms1013×body1024valid
617.0ms884×body1024infinite
268.0ms538×body512valid
218.0ms449×body512infinite
Bogosity

preprocess28.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify18.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 59 to 29 computations (50.8% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New224
Fresh101
Picked000
Done000
Total325
Accurracy
99.7%
Counts
5 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
▶99.5%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Compiler

Compiled 62 to 42 computations (32.3% saved)

localize359.0ms (2.1%)

Local Accuracy

Found 6 expressions with local accuracy:

NewAccuracyProgram
✓100.0%
(cos.f64 th)
✓99.6%
(*.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%
(cos.f64 th)
✓99.9%
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
✓99.7%
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Compiler

Compiled 81 to 29 computations (64.2% saved)

series18.0ms (0.1%)

Counts
6 → 108
Calls

33 calls:

TimeVariablePointExpression
3.0ms
a1
@0
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
2.0ms
a2
@inf
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
1.0ms
th
@inf
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
1.0ms
a1
@0
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
1.0ms
th
@0
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))

rewrite124.0ms (0.7%)

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
018120
1386114
24783114
Stop Event
1×node limit
Counts
6 → 276
Calls
Call 1
Inputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(cos.f64 th)
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(cos.f64 th)
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1) (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 3) (pow.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)) (fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (-.f64 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (neg.f64 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (exp.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
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(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
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(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
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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 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
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(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
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(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (exp.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(log1p.f64 (expm1.f64 (cos.f64 th)))

simplify180.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1052×associate-*r*
1010×associate-*l*
772×log-prod
750×cube-prod
616×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046017120
1114414582
2578214582
Stop Event
1×node limit
Counts
384 → 264
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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1
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1
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
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(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
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(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
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(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
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(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (exp.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1) 1 (*.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))) (cbrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (sqrt.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(log1p.f64 (expm1.f64 (cos.f64 th)))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
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1
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
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(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
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(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(fma.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(cos.f64 th)
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(cos.f64 th)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(cos.f64 th)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(cos.f64 th)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(cos.f64 th)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(cos.f64 th)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cos.f64 th)
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(cos.f64 th)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)

eval130.0ms (0.8%)

Compiler

Compiled 6015 to 3353 computations (44.3% saved)

prune110.0ms (0.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New27917296
Fresh000
Picked202
Done000
Total28117298
Accurracy
100.0%
Counts
298 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
59.9%
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
29.0%
(/.f64 (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
61.9%
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.9%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.2%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
54.3%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶59.9%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
99.6%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
99.6%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
59.9%
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
▶59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
29.0%
(/.f64 (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
61.9%
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.9%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.2%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
54.3%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶59.9%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
99.6%
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Compiler

Compiled 1056 to 788 computations (25.4% saved)

localize1.1s (6.4%)

Local Accuracy

Found 16 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.0%
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
✓99.0%
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
✓98.4%
(/.f64 1 (pow.f64 2 1/4))
100.0%
(cos.f64 th)
✓99.7%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓99.6%
(/.f64 (sqrt.f64 2) (cos.f64 th))
100.0%
(cos.f64 th)
✓99.9%
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓99.8%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓99.4%
(/.f64 (sqrt.f64 2) a1)
✓99.7%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
100.0%
(cos.f64 th)
✓99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.0%
(/.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))
Compiler

Compiled 206 to 101 computations (51% saved)

series83.0ms (0.5%)

Counts
13 → 208
Calls

57 calls:

TimeVariablePointExpression
27.0ms
th
@inf
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
26.0ms
th
@inf
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
7.0ms
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)))
3.0ms
th
@inf
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
2.0ms
a1
@0
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))

rewrite127.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
566×add-sqr-sqrt
552×pow1
550×*-un-lft-identity
528×add-exp-log
528×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027319
1617257
Stop Event
1×node limit
Counts
13 → 519
Calls
Call 1
Inputs
(/.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)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (pow.f64 2 1/4))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (pow.f64 2 -1/4))
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/4) (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 -1/4)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 2 -1/2)) (*.f64 (cbrt.f64 (pow.f64 2 -1/4)) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (pow.f64 2 -1/4)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/8) (/.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (pow.f64 2 1/8)))
(*.f64 (pow.f64 2 -1/8) (*.f64 (pow.f64 2 -1/8) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4)) (/.f64 1 (neg.f64 (pow.f64 2 1/4))))
(*.f64 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (pow.f64 2 -1/4))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 1) (pow.f64 2 -1/4))
(*.f64 (/.f64 (cos.f64 th) 1) (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/8)) (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/8)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 2 -1/4) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/8)) (/.f64 (cos.f64 th) (pow.f64 2 1/8)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))) (pow.f64 2 1/8)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 1/8)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) 1) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (pow.f64 2 -1/4) 1) (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))
(*.f64 (/.f64 (pow.f64 2 -1/4) (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (cbrt.f64 (pow.f64 2 -1/2))) (cbrt.f64 (pow.f64 2 -1/4)))
(*.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (pow.f64 2 -1/8)) (pow.f64 2 -1/8))
(*.f64 (*.f64 (pow.f64 2 -1/4) 1) (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))
(*.f64 (*.f64 (pow.f64 2 -1/4) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2)))) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(*.f64 (*.f64 (pow.f64 2 -1/4) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8))) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(neg.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (neg.f64 (pow.f64 2 1/4))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3) (pow.f64 (pow.f64 2 -1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 2 -1/4) 3) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3) (pow.f64 (pow.f64 2 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/4))
(*.f64 1 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/4)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/4)))
(*.f64 (pow.f64 2 -1/8) (/.f64 (cos.f64 th) (pow.f64 2 1/8)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (pow.f64 2 1/4))))
(*.f64 (*.f64 (cos.f64 th) 1) (pow.f64 2 -1/4))
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))

simplify265.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1022×associate-/r*
974×associate-*r/
878×associate-*l/
794×fma-def
624×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0101526265
1282024519
Stop Event
1×node limit
Counts
727 → 640
Calls
Call 1
Inputs
(pow.f64 1/4 1/4)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 4))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 4))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4))))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(pow.f64 1/2 1/4)
(+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4))) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4)))))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 1/2 1/4))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4))) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4))))))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (cos.f64 th) (pow.f64 1/2 1/4))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (*.f64 (pow.f64 1/4 1/4) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2)))) (*.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 1/2 1/4)
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(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3) (pow.f64 (pow.f64 2 -1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 2 -1/4) 3) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3) (pow.f64 (pow.f64 2 1/4) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/4))
(*.f64 1 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/4)))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/4)))
(*.f64 (pow.f64 2 -1/8) (/.f64 (cos.f64 th) (pow.f64 2 1/8)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (pow.f64 2 1/4))))
(*.f64 (*.f64 (cos.f64 th) 1) (pow.f64 2 -1/4))
(*.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 2 1/8)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/8)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 -1/2))) (cbrt.f64 (pow.f64 2 -1/4)))
(*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/8)) (pow.f64 2 -1/8))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/8)) 2)
(pow.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (pow.f64 2 1/4))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 2 -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 2 -1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 2 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) (*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (pow.f64 2 1/4) (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (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) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2))) (pow.f64 2 1/4))
(/.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)) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (pow.f64 2 1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 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)) (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4))) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (neg.f64 (pow.f64 2 1/4))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (pow.f64 2 1/4)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (pow.f64 2 1/4)))
(/.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)) (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (pow.f64 2 1/4))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (pow.f64 2 1/4)))
(/.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 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (pow.f64 2 1/4) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (pow.f64 2 1/4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (pow.f64 2 1/4)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (neg.f64 (pow.f64 2 1/4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (pow.f64 2 1/4) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (pow.f64 2 1/4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2)))) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.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 a2 a2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (+.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (-.f64 (*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.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 a2 a2))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4))) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (pow.f64 2 1/4))
(/.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)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 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)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Outputs
(pow.f64 1/4 1/4)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4))
(fma.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (*.f64 th th)) (pow.f64 1/4 1/4))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 4))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4)))
(fma.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (*.f64 th th)) (pow.f64 1/4 1/4)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 4))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4))))
(fma.f64 1/24 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (pow.f64 1/4 1/4) (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 (pow.f64 1/4 1/4) (*.f64 th th)) (pow.f64 1/4 1/4))))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(pow.f64 1/2 1/4)
(+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4))))
(+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (*.f64 th th) (pow.f64 1/2 1/4))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/2 1/4))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4))) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4)))))
(fma.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4)) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (*.f64 th th) (pow.f64 1/2 1/4)))))
(fma.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 1/2 1/4)))
(+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 1/2 1/4))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (pow.f64 1/2 1/4))) (+.f64 (pow.f64 1/2 1/4) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (pow.f64 1/2 1/4))))))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (pow.f64 2 1/4) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (pow.f64 2 1/4)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/4)) (cos.f64 th)) (/.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 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (pow.f64 2 1/4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (*.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/4)) (cos.f64 th)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (pow.f64 2 1/4)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 (pow.f64 2 -1/4) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (neg.f64 (pow.f64 2 1/4))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 (pow.f64 2 -1/4) (neg.f64 (pow.f64 2 1/4)))) (/.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 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (neg.f64 (pow.f64 2 1/4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 (pow.f64 2 -1/4) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (*.f64 (neg.f64 (pow.f64 2 1/4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4))) (/.f64 (*.f64 (pow.f64 2 1/4) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (*.f64 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (pow.f64 2 1/4) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (pow.f64 2 1/4)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (*.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/4)) (cos.f64 th)) (/.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 (*.f64 (pow.f64 2 -1/4) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (pow.f64 2 1/4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (*.f64 (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/4)) (cos.f64 th)) (/.f64 (-.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) 1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2)))) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3) (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.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 a2 a2))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 3)) (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 2) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (/.f64 (pow.f64 (*.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (+.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (-.f64 (*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (pow.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 3)) (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (-.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (fma.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4) (*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.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 a2 a2))))
(/.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (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 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (-.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4)) (*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) (-.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 1/4))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 2 -1/4))) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (pow.f64 2 1/4)) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (pow.f64 2 1/4))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))))
(/.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 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 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 (/.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 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(fabs.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.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 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))

eval750.0ms (4.4%)

Compiler

Compiled 21422 to 12696 computations (40.7% saved)

prune229.0ms (1.3%)

Pruning

22 alts after pruning (18 fresh and 4 done)

PrunedKeptTotal
New1068131081
Fresh7512
Picked145
Done000
Total1076221098
Accurracy
100.0%
Counts
1098 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
37.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
40.4%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
✓59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
42.1%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.6%
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
29.0%
(/.f64 (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
▶54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
65.8%
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
✓99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶61.9%
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶65.8%
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
40.4%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
54.3%
(*.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 a2 a2)) (cos.f64 th))
✓99.2%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
54.3%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
59.9%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
▶42.1%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
42.1%
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
37.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
40.4%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
✓59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
42.1%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.6%
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
29.0%
(/.f64 (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
▶54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
65.8%
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
✓99.6%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶61.9%
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶65.8%
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
40.4%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
54.3%
(*.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 a2 a2)) (cos.f64 th))
✓99.2%
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
54.3%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
59.9%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
▶42.1%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
42.1%
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
Compiler

Compiled 1130 to 836 computations (26% saved)

localize814.0ms (4.8%)

Local Accuracy

Found 13 expressions with local accuracy:

NewAccuracyProgram
100.0%
(cos.f64 th)
✓99.2%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓98.6%
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓100.0%
(*.f64 -1/2 (*.f64 th th))
✓100.0%
(+.f64 1 (*.f64 -1/2 (*.f64 th th)))
✓99.1%
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2))
✓95.1%
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓99.7%
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
✓99.8%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓99.3%
(/.f64 a1 (sqrt.f64 2))
100.0%
(cos.f64 th)
✓99.6%
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
✓99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 174 to 71 computations (59.2% saved)

series16.0ms (0.1%)

Counts
11 → 184
Calls

51 calls:

TimeVariablePointExpression
2.0ms
a2
@inf
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
1.0ms
th
@inf
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
1.0ms
a1
@0
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
1.0ms
th
@0
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
1.0ms
a2
@0
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))

rewrite125.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
612×add-sqr-sqrt
596×pow1
596×*-un-lft-identity
562×add-exp-log
562×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028257
1610239
Stop Event
1×node limit
Counts
11 → 303
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2))
(+.f64 1 (*.f64 -1/2 (*.f64 th th)))
(*.f64 -1/2 (*.f64 th th))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
Outputs
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3) (pow.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) 3)) (+.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))) (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) (pow.f64 a1 3)))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
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(pow.f64 (*.f64 (pow.f64 1/2 1/4) (hypot.f64 a1 a2)) 2)
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(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
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(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
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(pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 1 (*.f64 -1/2 (*.f64 th th)) 1)
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 (*.f64 th th) -1/2 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 th 4))) (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 1)
(fma.f64 (*.f64 th (sqrt.f64 -1/2)) (*.f64 th (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 th) th 1)
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (*.f64 -1/2 (*.f64 th th)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3) 1/3)
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 th 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 th th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 th th)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 th th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (cbrt.f64 (/.f64 2 (pow.f64 a2 4))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))

simplify198.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
994×log-prod
754×*-commutative
728×associate-/l*
700×fma-def
602×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079917351
1228516005
2755616001
Stop Event
1×node limit
Counts
487 → 475
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)))
(*.f64 (neg.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (cbrt.f64 2)) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th)))) (/.f64 (*.f64 1/4 (pow.f64 th 4)) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(*.f64 1 (fma.f64 -1/2 (*.f64 th th) 1))
(*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))
(*.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 th 4)) (*.f64 1/2 (*.f64 th th))))))
(*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 th 4)) (*.f64 1/2 (*.f64 th th)))) (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))) (-.f64 1 (*.f64 1/4 (pow.f64 th 4)))))
(/.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3)) (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 th 4)) (*.f64 1/2 (*.f64 th th)))))
(/.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4))) (+.f64 1 (*.f64 1/2 (*.f64 th th))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3))) (neg.f64 (+.f64 1 (+.f64 (*.f64 1/4 (pow.f64 th 4)) (*.f64 1/2 (*.f64 th th))))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4)))) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (+.f64 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3) 1) (+.f64 (*.f64 1/4 (pow.f64 th 4)) (-.f64 1 (*.f64 (*.f64 -1/2 (*.f64 th th)) 1))))
(/.f64 (-.f64 (*.f64 1/4 (pow.f64 th 4)) 1) (-.f64 (*.f64 -1/2 (*.f64 th th)) 1))
(pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 3)
(pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) 1/3)
(pow.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(fma.f64 1 (*.f64 -1/2 (*.f64 th th)) 1)
(fma.f64 -1/2 (*.f64 th th) 1)
(fma.f64 (*.f64 th th) -1/2 1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 th 4))) (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 1)
(fma.f64 (*.f64 th (sqrt.f64 -1/2)) (*.f64 th (sqrt.f64 -1/2)) 1)
(fma.f64 (*.f64 -1/2 th) th 1)
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (*.f64 -1/2 (*.f64 th th)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3) 1/3)
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 th 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 th th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 th th)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (*.f64 th th)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 th th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (cbrt.f64 (/.f64 2 (pow.f64 a2 4))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th)) (*.f64 (sqrt.f64 1/2) -1/2)))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th)) (*.f64 (sqrt.f64 1/2) -1/2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (pow.f64 th 6))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
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(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) a2) (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) a2))
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)) (pow.f64 a2 -2)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a2 -2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))))
(/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) a2) (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) a2))
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2)))
(*.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2))) (sqrt.f64 2))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 3)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3) 1/3)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) (cos.f64 th)) -1)
(/.f64 1 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(/.f64 (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (pow.f64 a2 -2)))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

eval246.0ms (1.4%)

Compiler

Compiled 11414 to 6622 computations (42% saved)

prune168.0ms (1%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New58815603
Fresh5813
Picked235
Done224
Total59728625
Accurracy
100.0%
Counts
625 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
37.7%
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
37.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
40.4%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
✓59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶42.1%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.6%
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
✓54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
37.0%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
42.1%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
41.8%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
54.3%
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
37.0%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.4%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.9%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
54.3%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
37.0%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
▶42.1%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
54.3%
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
▶42.1%
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
✓42.1%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
▶42.1%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
42.1%
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
16.1%
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
35.6%
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
✓65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
37.7%
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
37.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
40.4%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
✓59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶42.1%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.6%
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
✓54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
37.0%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
42.1%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
41.8%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
54.3%
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
37.0%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
40.4%
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
✓99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.9%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
54.3%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
37.0%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
▶42.1%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
54.3%
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
▶42.1%
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
✓42.1%
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
▶42.1%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
42.1%
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
16.1%
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
35.6%
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
Compiler

Compiled 1208 to 934 computations (22.7% saved)

localize398.0ms (2.3%)

Local Accuracy

Found 10 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
✓99.6%
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
99.4%
(/.f64 (sqrt.f64 2) a1)
✓99.8%
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
✓99.3%
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓98.4%
(/.f64 1 (neg.f64 (sqrt.f64 2)))
✓99.6%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓99.6%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓99.7%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 1 (sqrt.f64 2))
Compiler

Compiled 121 to 76 computations (37.2% saved)

series3.0ms (0%)

Counts
9 → 96
Calls

24 calls:

TimeVariablePointExpression
0.0ms
a1
@-inf
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
0.0ms
a1
@inf
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
0.0ms
a1
@0
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
0.0ms
a1
@0
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
0.0ms
a1
@inf
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)

rewrite51.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
536×add-sqr-sqrt
522×pow1
520×*-un-lft-identity
492×add-exp-log
492×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026149
1558149
Stop Event
1×node limit
Counts
9 → 211
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 1 (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
Outputs
-2
-1
-1/2
-1/4
-1/8
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 a2 a1)
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) -2 a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (*.f64 (+.f64 a2 a1) a1) (*.f64 (+.f64 a2 a1) a2))
(+.f64 (*.f64 (+.f64 a2 a1) a2) (*.f64 (+.f64 a2 a1) a1))
(+.f64 (*.f64 a1 (+.f64 a2 a1)) (*.f64 a2 (+.f64 a2 a1)))
(+.f64 (*.f64 a2 (+.f64 a2 a1)) (*.f64 a1 (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) -2)
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(/.f64 -2 (+.f64 a2 a1))
(/.f64 -2 (/.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) -2)
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))) -2))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (neg.f64 (+.f64 a2 a1)) -2)
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a2 a1)))
(/.f64 (-.f64 a2 a1) (-.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))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(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 -2 a2 a1)
(fma.f64 -2 a1 a2)
(fma.f64 -2 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
-2
-1
-1/2
-1/4
-1/8
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))

simplify139.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1550×div-sub
1116×associate-+r+
1040×associate-+l+
696×associate-*r*
604×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01503487
12773427
25853323
317633313
464763277
Stop Event
1×node limit
Counts
307 → 154
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(/.f64 (pow.f64 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 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 a1 (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
-2
-1
-1/2
-1/4
-1/8
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 a2 a1)
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) -2 a2))
(+.f64 (+.f64 a2 a1) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 a1 a2)
(+.f64 a1 (neg.f64 a2))
(+.f64 a1 (*.f64 (neg.f64 a2) a2))
(+.f64 (*.f64 (+.f64 a2 a1) a1) (*.f64 (+.f64 a2 a1) a2))
(+.f64 (*.f64 (+.f64 a2 a1) a2) (*.f64 (+.f64 a2 a1) a1))
(+.f64 (*.f64 a1 (+.f64 a2 a1)) (*.f64 a2 (+.f64 a2 a1)))
(+.f64 (*.f64 a2 (+.f64 a2 a1)) (*.f64 a1 (+.f64 a2 a1)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a2 a1))) -2)
(-.f64 (/.f64 a1 (+.f64 a2 a1)) (/.f64 a2 (+.f64 a2 a1)))
(/.f64 -2 (+.f64 a2 a1))
(/.f64 -2 (/.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))) (+.f64 a2 a1)))
(/.f64 (+.f64 a2 a1) -2)
(/.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(/.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))))
(/.f64 (+.f64 a2 a1) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a2 a1) (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (+.f64 a2 a1) (*.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1))) -2))
(/.f64 (+.f64 a2 a1) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (neg.f64 (+.f64 a2 a1)) -2)
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a2 a1)))))
(/.f64 (neg.f64 (+.f64 a2 a1)) (neg.f64 (+.f64 a2 a1)))
(/.f64 (-.f64 a2 a1) (-.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))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(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 -2 a2 a1)
(fma.f64 -2 a1 a2)
(fma.f64 -2 a1 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
-2
-1
-1/2
-1/4
-1/8
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
(+.f64 -2 a1)
(-.f64 -2 a1)
(-.f64 a1 -2)
(-.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(exp.f64 (log.f64 a1))
(log1p.f64 (expm1.f64 a1))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
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(pow.f64 (+.f64 a2 a1) 1/3)
(cbrt.f64 (+.f64 a2 a1))
(sqrt.f64 (+.f64 a2 a1))
(fabs.f64 (+.f64 a2 a1))
(log.f64 (exp.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a2 a1))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(-.f64 a1 a2)
(cbrt.f64 (+.f64 a2 a1))
(expm1.f64 (log1p.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(hypot.f64 a2 a1)
(hypot.f64 a1 a2)
(exp.f64 (log.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(exp.f64 (*.f64 (log.f64 (+.f64 a2 a1)) -2))
(pow.f64 (+.f64 a2 a1) -2)
(log1p.f64 (expm1.f64 (+.f64 a2 a1)))
(+.f64 a2 a1)
(fma.f64 -2 a2 a1)
(fma.f64 a2 -2 a1)
(fma.f64 -2 a1 a2)
(fma.f64 a1 -2 a2)
(fma.f64 -2 a1 (neg.f64 a2))
(-.f64 (*.f64 a1 -2) a2)
(fma.f64 a1 -2 (neg.f64 a2))
(fma.f64 a2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (*.f64 a1 a1) a2)
(+.f64 -2 a1)
(+.f64 a1 -2)
(-.f64 -2 a1)
(-.f64 a1 -2)
(+.f64 a1 2)
(+.f64 2 a1)
(-.f64 a1 a1)
0
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
1
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(/.f64 a1 (fma.f64 2 a1 -2))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
(fabs.f64 a1)
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(-.f64 a1 1)
(exp.f64 (log.f64 a1))
(fabs.f64 a1)
a1
(log1p.f64 (expm1.f64 a1))
(fabs.f64 a1)
a1
(+.f64 -2 a1)
(+.f64 a1 -2)
(-.f64 -2 a1)
(-.f64 a1 -2)
(+.f64 a1 2)
(+.f64 2 a1)
(-.f64 a1 a1)
0
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
(fabs.f64 a1)
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(-.f64 a1 1)
(exp.f64 (log.f64 a1))
(fabs.f64 a1)
a1
(log1p.f64 (expm1.f64 a1))
(fabs.f64 a1)
a1
-2
-1
-1/2
-1/4
-1/8
0
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
9
16
27
64
512
(+.f64 -2 a1)
(+.f64 a1 -2)
(-.f64 -2 a1)
(-.f64 a1 -2)
(+.f64 a1 2)
(+.f64 2 a1)
(-.f64 a1 a1)
0
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
1
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(/.f64 a1 (fma.f64 2 a1 -2))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
(fabs.f64 a1)
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(-.f64 a1 1)
(exp.f64 (log.f64 a1))
(fabs.f64 a1)
a1
(log1p.f64 (expm1.f64 a1))
(fabs.f64 a1)
a1
(+.f64 -2 a1)
(+.f64 a1 -2)
(-.f64 -2 a1)
(-.f64 a1 -2)
(+.f64 a1 2)
(+.f64 2 a1)
(-.f64 a1 a1)
0
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
1
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(/.f64 a1 (fma.f64 2 a1 -2))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
(fabs.f64 a1)
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(-.f64 a1 1)
(exp.f64 (log.f64 a1))
(fabs.f64 a1)
a1
(log1p.f64 (expm1.f64 a1))
(fabs.f64 a1)
a1
(+.f64 -2 a1)
(+.f64 a1 -2)
(-.f64 -2 a1)
(-.f64 a1 -2)
(+.f64 a1 2)
(+.f64 2 a1)
(-.f64 a1 a1)
0
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
1
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(/.f64 a1 (fma.f64 2 a1 -2))
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
(fabs.f64 a1)
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(-.f64 a1 1)
(exp.f64 (log.f64 a1))
(fabs.f64 a1)
a1
(log1p.f64 (expm1.f64 a1))
(fabs.f64 a1)
a1
(+.f64 -2 a1)
(+.f64 a1 -2)
(-.f64 -2 a1)
(-.f64 a1 -2)
(+.f64 a1 2)
(+.f64 2 a1)
(-.f64 a1 a1)
0
(/.f64 -2 a1)
(/.f64 a1 -2)
(/.f64 a1 a1)
1
(/.f64 a1 (+.f64 -2 (+.f64 a1 a1)))
(/.f64 a1 (fma.f64 2 a1 -2))
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(cbrt.f64 a1)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
a1
(log.f64 (exp.f64 a1))
(fabs.f64 a1)
a1
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log.f64 a1))
(-.f64 a1 1)
(exp.f64 (log.f64 a1))
(fabs.f64 a1)
a1
(log1p.f64 (expm1.f64 a1))
(fabs.f64 a1)
a1

eval36.0ms (0.2%)

Compiler

Compiled 1646 to 780 computations (52.6% saved)

prune73.0ms (0.4%)

Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New17323196
Fresh71118
Picked235
Done145
Total18341224
Accurracy
100.0%
Counts
224 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.0%
(fma.f64 a2 a2 a1)
✓65.9%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
37.0%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓59.9%
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓42.1%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
59.6%
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
✓54.3%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
4.3%
(/.f64 a1 -2)
41.8%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
2.6%
(/.f64 -2 a1)
23.2%
(-.f64 (*.f64 a1 a1) a2)
9.8%
(-.f64 a1 (*.f64 a2 a2))
2.9%
(-.f64 a1 a2)
8.5%
(-.f64 a1 a1)
4.1%
(+.f64 a2 a1)
2.4%
(+.f64 a1 -2)
54.3%
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
37.0%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓65.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
43.4%
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
✓99.6%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.9%
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
54.3%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
37.0%
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
✓42.1%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
54.3%
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
54.3%
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
42.1%
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
16.1%
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
29.5%
(*.f64 a1 a1)
4.3%
(*.f64 a1 -2)
43.6%
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.1%
(*.f64 1/2 (+.f64 a2 a1))
42.8%
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
42.4%
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.4%
(*.f64 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.6%
(*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.0%
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
20.6%
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
4.3%
(neg.f64 a1)
3.1%
a1
Compiler

Compiled 1033 to 597 computations (42.2% saved)

regimes292.0ms (1.7%)

Counts
71 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 a2 a2)) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
Outputs
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

8 calls:

63.0ms
a2
35.0ms
(*.f64 a2 a2)
33.0ms
a1
33.0ms
th
31.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 689 to 349 computations (49.3% saved)

regimes228.0ms (1.3%)

Counts
65 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 1/4 1/4) (*.f64 a2 a2)) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4)) a2)
Outputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

59.0ms
a2
31.0ms
th
30.0ms
a1
26.0ms
(cos.f64 th)
25.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 565 to 280 computations (50.4% saved)

regimes899.0ms (5.3%)

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

7 calls:

296.0ms
th
172.0ms
a1
126.0ms
(cos.f64 th)
120.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
62.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
90.2%4a1
91.2%2a2
88.7%9th
84.4%5(/.f64 (cos.f64 th) (sqrt.f64 2))
84.4%5(cos.f64 th)
83.7%4(*.f64 a1 a1)
85.9%3(*.f64 a2 a2)
Compiler

Compiled 466 to 236 computations (49.4% saved)

regimes57.0ms (0.3%)

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

1 calls:

47.0ms
a2
Results
AccuracySegmentsBranch
91.2%2a2
Compiler

Compiled 369 to 181 computations (50.9% saved)

regimes432.0ms (2.5%)

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

5 calls:

163.0ms
a2
84.0ms
(*.f64 a2 a2)
77.0ms
(*.f64 a1 a1)
63.0ms
a1
33.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
79.9%2(cos.f64 th)
75.6%4(*.f64 a1 a1)
77.2%4(*.f64 a2 a2)
79.9%3a1
78.2%2a2
Compiler

Compiled 363 to 181 computations (50.1% saved)

regimes189.0ms (1.1%)

Counts
37 → 4
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
Outputs
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
Calls

5 calls:

114.0ms
th
25.0ms
a1
18.0ms
a2
14.0ms
(*.f64 a1 a1)
10.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
65.8%1(*.f64 a1 a1)
65.8%1(*.f64 a2 a2)
71.0%4th
65.8%1a2
65.8%1a1
Compiler

Compiled 248 to 117 computations (52.8% saved)

regimes360.0ms (2.1%)

Counts
36 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
Outputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
Calls

5 calls:

124.0ms
th
98.0ms
a1
72.0ms
(*.f64 a2 a2)
33.0ms
a2
27.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
60.3%4a1
62.0%2a2
54.8%2(*.f64 a1 a1)
56.4%2(*.f64 a2 a2)
55.5%6th
Compiler

Compiled 238 to 114 computations (52.1% saved)

regimes56.0ms (0.3%)

Counts
26 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
Outputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
Calls

1 calls:

52.0ms
a2
Results
AccuracySegmentsBranch
62.0%2a2
Compiler

Compiled 147 to 55 computations (62.6% saved)

regimes65.0ms (0.4%)

Counts
25 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Outputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

3 calls:

24.0ms
a2
23.0ms
a1
14.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
54.4%2(*.f64 a2 a2)
50.8%2a1
55.1%2a2
Compiler

Compiled 151 to 59 computations (60.9% saved)

regimes27.0ms (0.2%)

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

1 calls:

23.0ms
a2
Results
AccuracySegmentsBranch
55.0%2a2
Compiler

Compiled 129 to 45 computations (65.1% saved)

regimes134.0ms (0.8%)

Counts
22 → 4
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
Outputs
(*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 -1/2 (+.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)))
Calls

5 calls:

65.0ms
a1
38.0ms
th
12.0ms
a2
8.0ms
(*.f64 a1 a1)
7.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
48.7%4th
43.6%1a1
43.6%1(*.f64 a2 a2)
43.6%1(*.f64 a1 a1)
43.6%1a2
Compiler

Compiled 143 to 55 computations (61.5% saved)

regimes54.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.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 -1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/8 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

50.0ms
th
Results
AccuracySegmentsBranch
47.0%2th
Compiler

Compiled 110 to 38 computations (65.5% saved)

regimes32.0ms (0.2%)

Counts
15 → 4
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

1 calls:

29.0ms
th
Results
AccuracySegmentsBranch
48.4%4th
Compiler

Compiled 65 to 28 computations (56.9% saved)

regimes111.0ms (0.6%)

Counts
14 → 1
Calls
Call 1
Inputs
a1
(neg.f64 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(+.f64 a1 -2)
(+.f64 a2 a1)
(-.f64 a1 a1)
(-.f64 a1 a2)
(/.f64 -2 a1)
(/.f64 a1 -2)
(*.f64 1/2 (+.f64 a2 a1))
(-.f64 a1 (*.f64 a2 a2))
(-.f64 (*.f64 a1 a1) a2)
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
Outputs
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
Calls

5 calls:

59.0ms
(*.f64 a2 a2)
27.0ms
th
8.0ms
a1
8.0ms
a2
5.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
43.4%1(*.f64 a2 a2)
43.4%1(*.f64 a1 a1)
43.4%1a2
43.4%1a1
45.0%3th
Compiler

Compiled 76 to 39 computations (48.7% saved)

regimes87.0ms (0.5%)

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

5 calls:

21.0ms
th
21.0ms
a1
20.0ms
a2
14.0ms
(*.f64 a1 a1)
9.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
31.2%3th
31.5%2(*.f64 a2 a2)
32.0%3a2
31.5%3(*.f64 a1 a1)
31.1%3a1
Compiler

Compiled 69 to 38 computations (44.9% saved)

regimes9.0ms (0.1%)

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

1 calls:

7.0ms
a2
Results
AccuracySegmentsBranch
29.5%1a2
Compiler

Compiled 39 to 21 computations (46.2% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
a2
4.0ms
th
4.0ms
a1
Results
AccuracySegmentsBranch
4.3%1a1
4.3%1th
4.3%1a2
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.1%)

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

3 calls:

4.0ms
a2
3.0ms
a1
3.0ms
th
Results
AccuracySegmentsBranch
4.3%1a2
4.3%1a1
4.3%1th
Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
a2
3.0ms
th
3.0ms
a1
Results
AccuracySegmentsBranch
3.1%1a2
3.1%1th
3.1%1a1
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch33.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
1.7987834479323183e-50
7.335309710415444e-50
Results
13.0ms56×body256valid
8.0ms13×body1024valid
4.0ms6×body1024infinite
3.0ms8×body512valid
2.0ms11×body256infinite
1.0ms2×body512infinite
Compiler

Compiled 184 to 140 computations (23.9% saved)

bsearch88.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
88.0ms
1.7987834479323183e-50
7.335309710415444e-50
Results
48.0ms19×body1024valid
24.0ms42×body256valid
6.0ms15×body512valid
5.0ms8×body1024infinite
2.0ms5×body512infinite
2.0ms7×body256infinite
Compiler

Compiled 184 to 140 computations (23.9% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.005354350216165506
0.03929520803708159
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch108.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
72.0ms
5.123225203793061e+280
6.036905106425653e+281
21.0ms
1.336167356965001e+157
1.6144346631532932e+157
15.0ms
1.4104484032276825
2.5003626331795177
Results
47.0ms57×body1024infinite
42.0ms66×body1024valid
10.0ms43×body256valid
6.0ms26×body256infinite
Compiler

Compiled 346 to 248 computations (28.3% saved)

bsearch79.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
79.0ms
2.181584824227035e-107
5.723564042724689e-102
Results
39.0ms29×body1024valid
15.0ms67×body256valid
13.0ms17×body1024infinite
4.0ms10×body512valid
3.0ms16×body256infinite
2.0ms5×body512infinite
Compiler

Compiled 208 to 164 computations (21.2% saved)

bsearch55.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
55.0ms
2.181584824227035e-107
5.723564042724689e-102
Results
15.0ms71×body256valid
14.0ms24×body1024valid
9.0ms10×body1024infinite
7.0ms10×body512valid
5.0ms22×body256infinite
3.0ms7×body512infinite
Compiler

Compiled 208 to 164 computations (21.2% saved)

bsearch47.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
1.7987834479323183e-50
7.335309710415444e-50
Results
16.0ms6×body1024infinite
10.0ms17×body1024valid
10.0ms45×body256valid
5.0ms13×body512valid
2.0ms10×body256infinite
2.0ms5×body512infinite
Compiler

Compiled 166 to 122 computations (26.5% saved)

bsearch45.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
1.7987834479323183e-50
7.335309710415444e-50
Results
11.0ms19×body1024valid
10.0ms42×body256valid
6.0ms15×body512valid
4.0ms7×body1024infinite
3.0ms7×body512infinite
1.0ms6×body256infinite
Compiler

Compiled 166 to 122 computations (26.5% saved)

bsearch124.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
62.0ms
5.123225203793061e+280
6.036905106425653e+281
44.0ms
1.336167356965001e+157
1.6144346631532932e+157
17.0ms
1.4104484032276825
2.5003626331795177
Results
65.0ms62×body1024valid
38.0ms59×body1024infinite
12.0ms44×body256valid
6.0ms27×body256infinite
Compiler

Compiled 340 to 236 computations (30.6% saved)

bsearch18.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
17.0ms
1.4104484032276825
2.5003626331795177
Results
9.0ms31×body256infinite
7.0ms33×body256valid
Compiler

Compiled 124 to 80 computations (35.5% saved)

bsearch147.0ms (0.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
111.0ms
5.123225203793061e+280
6.036905106425653e+281
19.0ms
1.336167356965001e+157
1.6144346631532932e+157
17.0ms
1.4104484032276825
2.5003626331795177
Results
68.0ms75×body1024valid
59.0ms50×body1024infinite
9.0ms32×body256valid
8.0ms35×body256infinite
Compiler

Compiled 316 to 200 computations (36.7% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.572457322896626e+272
2.4081190107335107e+274
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify29.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
46×*-commutative
16×+-commutative
12×sub-neg
10×neg-sub0
8×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097955
1132943
2147943
3162939
4168939
5172939
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 1158435208354129/26328072917139296674479506920917608079723773850137277813577744384) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a2 3475305625062387/52656145834278593348959013841835216159447547700274555627155488768) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 (cos.f64 th) -5764607523034235/1152921504606846976) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))))
(if (<=.f64 a2 1134777778456161/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a2 5799975312109267/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(if (<=.f64 a2 934646588558445/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 a2 7582485000136117/210624583337114373395836055367340864637790190801098222508621955072) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(if (<=.f64 (*.f64 a2 a2) 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288) (*.f64 a1 a1) (-.f64 a1 (*.f64 a2 a2)))
(*.f64 a1 a1)
(*.f64 a1 -2)
(neg.f64 a1)
a1
Outputs
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (<=.f64 a2 1158435208354129/26328072917139296674479506920917608079723773850137277813577744384) (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2)) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a2 1158435208354129/26328072917139296674479506920917608079723773850137277813577744384) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 a2 3475305625062387/52656145834278593348959013841835216159447547700274555627155488768) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(if (<=.f64 (cos.f64 th) -5764607523034235/1152921504606846976) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) -5764607523034235/1152921504606846976) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))))
(if (<=.f64 a2 1134777778456161/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a2 1134777778456161/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 5799975312109267/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(if (<=.f64 a2 5799975312109267/1260864198284623334792929283204595641762551656654894293374345388935863096687910739565256520156317300505812095689818112) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 934646588558445/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 a2 934646588558445/13164036458569648337239753460458804039861886925068638906788872192) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))
(if (<=.f64 a2 7582485000136117/210624583337114373395836055367340864637790190801098222508621955072) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 a2 7582485000136117/210624583337114373395836055367340864637790190801098222508621955072) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 -1/4 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) 1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/4))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (*.f64 -1/2 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) -1/2))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (if (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (if (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232) (*.f64 (+.f64 a2 a1) (+.f64 a2 a1)) (*.f64 -1 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(if (<=.f64 th 3602879701896397/2251799813685248) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (if (or (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (not (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232))) (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2))))
(if (or (<=.f64 th 3602879701896397/2251799813685248) (not (or (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (not (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232))))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (or (<=.f64 th 3602879701896397/2251799813685248) (not (or (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336) (not (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232))))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))
(if (or (<=.f64 th 3602879701896397/2251799813685248) (and (not (<=.f64 th 15000000000000000512533345514866116583053345305234300659908957640972248640239055414010190326983421975952668018400791097455139466034632398835961092881132814336)) (<=.f64 th 110000000000000003606047058114830807342777581132364292068966693518503686351711176952072781653965297235919924734000656590057179814460176526559339021142234677323725668467018207239680059959066455613936140380376133069200186153168931921734404342130860508428666424449194061627139117023232))) (*.f64 (+.f64 a1 a2) (+.f64 a1 a2)) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))
(*.f64 (+.f64 a2 a1) (+.f64 a2 a1))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(if (<=.f64 (*.f64 a2 a2) 499999999999999972701170848296337442289488270977721329566305179912859347121457059657421081410337639824519603649785654416923454595569342486253994641168347891303833520112959137525342032630583758489088677395132802532733033184688425175646530461769523219334840203452357476876288) (*.f64 a1 a1) (-.f64 a1 (*.f64 a2 a2)))
(*.f64 a1 a1)
(*.f64 a1 -2)
(neg.f64 a1)
a1
Compiler

Compiled 401 to 246 computations (38.7% saved)

soundness3.7s (21.7%)

Rules
1874×prod-diff
1550×div-sub
1550×div-sub
1550×div-sub
1550×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
26135
39135
411835
513635
615435
717435
817635
018120
1386114
24783114
046017120
1114414582
2578214582
0101526265
1282024519
079917351
1228516005
2755616001
026149
1558149
01503487
12773427
25853323
317633313
464763277
026149
1558149
01539
13035
26135
39135
411835
513635
615435
717435
817635
046017120
1114414582
2578214582
0101526265
1282024519
026149
1558149
01503487
12773427
25853323
317633313
464763277
026149
1558149
026149
1558149
01503487
12773427
25853323
317633313
464763277
026149
1558149
01503487
12773427
25853323
317633313
464763277
026149
1558149
026149
1558149
026149
1558149
026149
1558149
01503487
12773427
25853323
317633313
464763277
0101526265
1282024519
079917351
1228516005
2755616001
046017120
1114414582
2578214582
079917351
1228516005
2755616001
028257
1610239
046017120
1114414582
2578214582
046017120
1114414582
2578214582
0101526265
1282024519
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
Compiler

Compiled 902 to 562 computations (37.7% saved)

end190.0ms (1.1%)

Remove

(sort a1 a2)

Compiler

Compiled 780 to 374 computations (52.1% saved)

Profiling

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