Migdal et al, Equation (64)

Details

Time bar (total: 15.0s)

analyze0.0ms (0%)

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

Compiled 23 to 16 computations (30.4% saved)

sample2.5s (16.9%)

Results
680.0ms3064×body256valid
513.0ms2283×body256infinite
480.0ms1070×body1024valid
475.0ms911×body1024infinite
207.0ms423×body512infinite
166.0ms505×body512valid
Bogosity

preprocess31.0ms (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)

simplify17.0ms (0.1%)

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

Useful iterations: 1 (0.0ms)

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

eval1.0ms (0%)

Compiler

Compiled 59 to 29 computations (50.8% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New134
Fresh011
Picked000
Done000
Total145
Accurracy
99.7%
Counts
5 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.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%
(*.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 53 to 36 computations (32.1% saved)

localize80.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 42 to 17 computations (59.5% saved)

series12.0ms (0.1%)

Counts
2 → 60
Calls

15 calls:

TimeVariablePointExpression
2.0ms
a2
@0
(/.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 (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))

rewrite84.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1312×log-prod
830×pow-prod-down
666×pow-prod-up
610×pow-exp
498×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01460
128156
2338556
Stop Event
1×node limit
Counts
2 → 74
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)))
Outputs
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.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 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (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 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.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) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (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) (pow.f64 2 1/6)))
(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 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6) 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)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2))
(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 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 3/2)))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 0 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (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 1 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (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 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))

simplify82.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1416×associate-*r*
1304×associate-*l*
1102×times-frac
954×associate-/l*
596×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02315304
15245158
215994880
Stop Event
1×node limit
Counts
134 → 129
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.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 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (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 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.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) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (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) (pow.f64 2 1/6)))
(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 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6) 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)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2))
(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 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 3/2)))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 0 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (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 1 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (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 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (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)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))) 1) 1))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))))) 3))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2))) 3)) 1/3))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))

localize84.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓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))
Compiler

Compiled 43 to 18 computations (58.1% saved)

series4.0ms (0%)

Counts
2 → 40
Calls

12 calls:

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

rewrite94.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1826×prod-diff
1430×log-prod
606×fma-def
524×expm1-udef
522×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01450
130048
2408848
Stop Event
1×node limit
Counts
2 → 121
Calls
Call 1
Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 1) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 3)) (fma.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (-.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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 (sqrt.f64 2) (cos.f64 th))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (exp.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 1 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))

simplify135.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
520×associate-*r*
486×associate-*l*
386×associate-+l+
378×associate-/l*
372×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03628061
19787727
238336473
Stop Event
1×node limit
Counts
161 → 197
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 1) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (neg.f64 (cos.f64 th))) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 3)) (fma.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (-.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 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 (sqrt.f64 2) (cos.f64 th))))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (exp.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 1 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (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 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))))) (fma.f64 -1/720 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1))))) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
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(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 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 (*.f64 a2 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 a2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 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 (cos.f64 th) (*.f64 a1 a1)) (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 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (*.f64 a1 a1))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) 1 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (*.f64 a1 (*.f64 a1 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a1 (*.f64 a1 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (*.f64 a1 a1))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 (*.f64 a2 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 a2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 a1 (/.f64 (*.f64 a1 (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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (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 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))

localize148.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiled 60 to 30 computations (50% saved)

series7.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite77.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1444×log-prod
1002×pow-prod-down
682×pow-prod-up
620×pow-exp
498×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
128754
2358254
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
Outputs
(+.f64 0 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 0 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a1 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))

simplify90.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1460×times-frac
1244×log-prod
1012×associate-/l*
964×associate-*r*
750×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02103628
15093552
215003460
366923460
Stop Event
1×node limit
Counts
112 → 114
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (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))
(+.f64 0 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 0 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a1 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 a2 (/.f64 (*.f64 a2 (*.f64 th th)) (sqrt.f64 2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 a2 (/.f64 (*.f64 a2 (*.f64 th th)) (sqrt.f64 2))) (fma.f64 1/24 (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) a2) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a2 a2)) (sqrt.f64 2))))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a2 a2))) (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 1/24 (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) a2) (fma.f64 -1/2 (*.f64 a2 (/.f64 (*.f64 a2 (*.f64 th th)) (sqrt.f64 2))) (fma.f64 -1/720 (*.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (pow.f64 th 6)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (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)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (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))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (fma.f64 1/24 (*.f64 a1 (/.f64 (*.f64 (pow.f64 th 4) a1) (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (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)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (fma.f64 1/24 (*.f64 a1 (/.f64 (*.f64 (pow.f64 th 4) a1) (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 0 (*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)))))
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(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1) 1))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) 3))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 6)) 1/3))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))

eval305.0ms (2%)

Compiler

Compiled 12379 to 7011 computations (43.4% saved)

prune95.0ms (0.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New52317540
Fresh000
Picked101
Done112
Total52518543
Accurracy
100.0%
Counts
543 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.1%
(/.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))))
▶66.8%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
99.6%
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶55.7%
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
57.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
55.6%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
57.8%
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
83.5%
(+.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
▶55.8%
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
57.8%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
66.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.5%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.0%
(*.f64 (log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.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))
57.8%
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶99.5%
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))
▶99.6%
(*.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
Compiler

Compiled 538 to 395 computations (26.6% saved)

localize200.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓99.7%
(*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))
✓99.4%
(*.f64 a2 (pow.f64 2 -1/2))
✓99.2%
(/.f64 (sqrt.f64 2) a1)
Compiler

Compiled 69 to 49 computations (29% saved)

series36.0ms (0.2%)

Counts
4 → 36
Calls

12 calls:

TimeVariablePointExpression
32.0ms
a2
@inf
(*.f64 a2 (pow.f64 2 -1/2))
1.0ms
a2
@0
(*.f64 a2 (pow.f64 2 -1/2))
0.0ms
a2
@-inf
(*.f64 a2 (pow.f64 2 -1/2))
0.0ms
a1
@0
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
0.0ms
a1
@0
(/.f64 (sqrt.f64 2) a1)

rewrite119.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1338×log-prod
778×pow-prod-down
584×pow-prod-up
532×pow-exp
508×pow-unpow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01360
127656
2340456
Stop Event
1×node limit
Counts
4 → 137
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) a1)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
Outputs
(+.f64 0 (/.f64 (sqrt.f64 2) a1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a1 -1))
(*.f64 (/.f64 (sqrt.f64 2) a1) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (pow.f64 a1 -1)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a1 -1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a1)))
(*.f64 (pow.f64 a1 -1) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(*.f64 (pow.f64 a1 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a1))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a1)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a1)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a1))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))
(pow.f64 (/.f64 (sqrt.f64 2) a1) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) 3)
(pow.f64 (*.f64 2 (pow.f64 a1 -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) 2)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) -1)
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(sqrt.f64 (*.f64 2 (pow.f64 a1 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 2) a1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a1)))
(+.f64 0 (*.f64 a2 (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (*.f64 (*.f64 a2 a2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 a2 a2) 1/2))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)
(pow.f64 (*.f64 (pow.f64 a2 4) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (*.f64 (pow.f64 2 -1/4) a2) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (pow.f64 2 -1/4))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(+.f64 0 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (*.f64 a1 (sqrt.f64 1/2)) a1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) -2) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1/2) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (*.f64 (cbrt.f64 a1) a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 2)) (pow.f64 a1 3/2))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 a1 1) (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) a1)
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) 1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))

simplify111.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1260×unswap-sqr
1174×associate-*r/
1136×fma-def
654×distribute-lft-in
632×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03413433
17523299
223602963
Stop Event
1×node limit
Counts
173 → 170
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(/.f64 (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 0 (/.f64 (sqrt.f64 2) a1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a1 -1))
(*.f64 (/.f64 (sqrt.f64 2) a1) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))))
(*.f64 (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (pow.f64 a1 -1)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a1 -1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a1)))
(*.f64 (pow.f64 a1 -1) (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))
(*.f64 (pow.f64 a1 -1/2) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) a1))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a1)) (/.f64 (pow.f64 2 1/6) (sqrt.f64 a1)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a1))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))
(pow.f64 (/.f64 (sqrt.f64 2) a1) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) 3)
(pow.f64 (*.f64 2 (pow.f64 a1 -2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) 2)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) -1)
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(sqrt.f64 (*.f64 2 (pow.f64 a1 -2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sqrt.f64 2) a1))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a1)))
(+.f64 0 (*.f64 a2 (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (*.f64 (*.f64 a2 a2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 a2 a2) 1/2))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)
(pow.f64 (*.f64 (pow.f64 a2 4) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (*.f64 (pow.f64 2 -1/4) a2) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (pow.f64 2 -1/4))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(+.f64 0 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (*.f64 a1 (sqrt.f64 1/2)) a1)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) -2) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1/2) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (*.f64 (cbrt.f64 a1) a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 2)) (pow.f64 a1 3/2))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 a1 1) (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) a1)
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) 1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) -1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
Outputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
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(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))))
(*.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))))
(/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 2)) (pow.f64 a1 3/2))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (*.f64 2 (pow.f64 a1 -2))))
(*.f64 (/.f64 a1 1) (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) 1) a1)
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2) 1/2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) 1) -1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(neg.f64 (/.f64 a1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1) 1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1/3))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) -1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

localize70.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 32 to 13 computations (59.4% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite65.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1194×prod-diff
1038×log-prod
664×pow-prod-down
542×pow-exp
532×pow-prod-up
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
123423
2304623
Stop Event
1×node limit
Counts
1 → 43
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Outputs
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))

simplify87.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1726×log-prod
1144×associate-/r/
984×fma-neg
726×unswap-sqr
670×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01312149
12832107
27382067
327781983
471631983
Stop Event
1×node limit
Counts
67 → 72
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.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 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (*.f64 (pow.f64 2 -1/2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (pow.f64 2 -1/4) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (pow.f64 2 1/2))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))

localize93.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 29 to 16 computations (44.8% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite109.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1076×log-prod
808×prod-exp
680×pow-prod-down
518×pow-prod-up
478×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
122544
2279344
Stop Event
1×node limit
Counts
2 → 90
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
Outputs
(+.f64 0 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 1)
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 1)
(*.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(*.f64 (*.f64 (cbrt.f64 a1) a1) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) 1) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 3)
(pow.f64 (*.f64 (pow.f64 a1 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) -1)
(pow.f64 (/.f64 (pow.f64 a1 6) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 1) -1)
(neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(cbrt.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (pow.f64 2 1/4))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (*.f64 -1/2 (log.f64 2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (*.f64 -1/2 (log.f64 2))))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 a1) 2)))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(+.f64 0 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 (neg.f64 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 (neg.f64 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))

simplify99.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1242×associate-*r/
1218×times-frac
980×associate-*l/
972×fma-def
652×unswap-sqr
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02553348
16293270
219873270
Stop Event
1×node limit
Counts
126 → 134
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 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))
(+.f64 0 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 1)
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 1)
(*.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(*.f64 (*.f64 (cbrt.f64 a1) a1) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) 1) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(*.f64 (/.f64 (*.f64 (cbrt.f64 a1) a1) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 3)
(pow.f64 (*.f64 (pow.f64 a1 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) -1)
(pow.f64 (/.f64 (pow.f64 a1 6) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 1) -1)
(neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(cbrt.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (pow.f64 2 1/4))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (*.f64 -1/2 (log.f64 2))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (*.f64 -1/2 (log.f64 2))))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 a1) 2)))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(+.f64 0 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) a1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 (neg.f64 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 (neg.f64 a1)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) 1/3)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) -1)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.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)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 th a1) (*.f64 th a1)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 -1/2 (*.f64 a1 a1)) (/.f64 (*.f64 th th) (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))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (pow.f64 th 4))) (*.f64 (*.f64 -1/2 (*.f64 a1 a1)) (/.f64 (*.f64 th th) (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)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 6)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(fma.f64 -1/2 (*.f64 a1 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2))) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (pow.f64 th 4))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 -1/720 (*.f64 a1 a1)) (/.f64 (pow.f64 th 6) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
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(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 a1 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (*.f64 (pow.f64 a1 4) (*.f64 1/2 (pow.f64 (cos.f64 th) 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1/3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 (log.f64 (cos.f64 th)) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) (log.f64 (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))

localize118.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 (*.f64 a1 a1) (cos.f64 th))
✓99.7%
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
Compiler

Compiled 29 to 13 computations (55.2% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
a1
@inf
(*.f64 (*.f64 a1 a1) (cos.f64 th))
0.0ms
th
@0
(*.f64 (*.f64 a1 a1) (cos.f64 th))
0.0ms
th
@0
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
0.0ms
a1
@0
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
0.0ms
a1
@inf
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1136×log-prod
808×prod-exp
678×pow-prod-down
520×pow-prod-up
478×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
122544
2284144
Stop Event
1×node limit
Counts
2 → 93
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
Outputs
(+.f64 0 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 1)
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 1 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (*.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (/.f64 a1 1) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a1 a1) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))
(*.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))
(pow.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) -1)
(neg.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) (*.f64 -1/2 (log.f64 2))))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(+.f64 0 (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1)
(pow.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (*.f64 a1 (cos.f64 th)))))
(exp.f64 (+.f64 (log.f64 (*.f64 a1 a1)) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a1) 2)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (*.f64 a1 a1))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 a1) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 a1 (cos.f64 th))) (*.f64 (log.f64 a1) 1)))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))

simplify122.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1176×times-frac
892×associate-*r/
872×fma-def
856×log-prod
740×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02784095
17064009
222503991
374923991
Stop Event
1×node limit
Counts
141 → 151
Calls
Call 1
Inputs
(/.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))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(pow.f64 a1 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 0 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 1)
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 1 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (*.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (*.f64 (*.f64 a1 a1) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (/.f64 a1 1) (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a1 a1) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))
(*.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))
(pow.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) -1)
(neg.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) (*.f64 -1/2 (log.f64 2))))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(+.f64 0 (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1)
(pow.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (*.f64 a1 (cos.f64 th)))))
(exp.f64 (+.f64 (log.f64 (*.f64 a1 a1)) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a1) 2)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (*.f64 a1 a1))))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 a1) 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 a1 (cos.f64 th))) (*.f64 (log.f64 a1) 1)))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (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)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
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(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (/.f64 (pow.f64 2 1/6) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (pow.f64 2 1/6) (cos.f64 th)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (/.f64 (pow.f64 2 1/6) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (pow.f64 2 1/6) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))
(/.f64 (*.f64 (pow.f64 2 -1/4) (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4))
(*.f64 (pow.f64 2 -1/4) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4))))
(*.f64 (pow.f64 2 -1/4) (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (pow.f64 2 1/4) a1))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (/.f64 (pow.f64 2 1/6) (cos.f64 th))))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (pow.f64 2 1/6) (cos.f64 th)))
(pow.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))
(pow.f64 (/.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6))
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6)) 1/3))
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))
(pow.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a1 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) (*.f64 -1/2 (log.f64 2))))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))
(exp.f64 (+.f64 (*.f64 -1/2 (log.f64 2)) (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1)))
(*.f64 a1 (*.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(+.f64 0 (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 1)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 3)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6) 1/3)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) 1) 1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))))) 3))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 6)) 1/3))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th)))) 2))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (*.f64 a1 (cos.f64 th)))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (*.f64 a1 a1)) (*.f64 (log.f64 (cos.f64 th)) 1)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (log.f64 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 2) (*.f64 (log.f64 (cos.f64 th)) 1)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (log.f64 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 a1)) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a1) 2)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 (*.f64 a1 a1))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 a1) 2)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 (*.f64 a1 a1)) 1)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (*.f64 a1 (cos.f64 th))) (*.f64 (log.f64 a1) 1)))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))

localize294.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 68 to 44 computations (35.3% saved)

series7.0ms (0%)

Counts
4 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
a1
@-inf
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
1.0ms
th
@inf
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))
1.0ms
th
@0
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))
0.0ms
a1
@0
(*.f64 a1 (pow.f64 2 -1/2))
0.0ms
a2
@0
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))

rewrite106.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1776×log-prod
996×fma-def
628×expm1-udef
624×log1p-udef
372×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017100
136690
2489490
Stop Event
1×node limit
Counts
4 → 138
Calls
Call 1
Inputs
(*.f64 a1 (pow.f64 2 -1/2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))
Outputs
(+.f64 0 (*.f64 a1 (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 a1 a1) 1/2))
(log.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
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(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2))) a1 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

simplify108.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
802×associate-*r*
748×cancel-sign-sub-inv
748×associate-*l*
664×associate-+r+
566×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03757798
19487176
238626616
Stop Event
1×node limit
Counts
210 → 223
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (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 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 4))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(+.f64 (*.f64 -1/720 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 6))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 4))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 0 (*.f64 a1 (sqrt.f64 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2)))) 1)
(pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 2)
(sqrt.f64 (*.f64 (*.f64 a1 a1) 1/2))
(log.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(*.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)))
(*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (pow.f64 2 -1/4)))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)
(neg.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)) a1)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)) a1)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)) a1))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)) a1))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)) a1))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 2 -1/4)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) (sqrt.f64 1/2)) a1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 0 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(+.f64 (*.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1) (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3) (pow.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)) (fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.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 a2 a2) (*.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) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.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 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))) (-.f64 (fma.f64 (pow.f64 a2 4) 1/2 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) 1/2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (pow.f64 a2 4) 1/2) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2))) (fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 1/2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3)) (cos.f64 th)) (-.f64 (fma.f64 (pow.f64 a2 4) 1/2 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) 1/2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a2 4) 1/2) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (cos.f64 th)) (fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (neg.f64 (*.f64 a1 a1)) (sqrt.f64 1/2))))
(pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (exp.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(fma.f64 a1 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 1 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 1 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (cbrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (cbrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2))) a1 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
Outputs
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(*.f64 (sqrt.f64 1/2) a1)
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (pow.f64 th 2))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 th th)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (*.f64 (*.f64 th th) -1/2))))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4))) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4))) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4))))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1 (*.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (cbrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (cbrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (cbrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(fma.f64 (*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(fma.f64 (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a1 (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (pow.f64 a2 4) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4))) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4))) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4))))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 (pow.f64 2 -1/2) a2))))
(fma.f64 (*.f64 (cos.f64 th) a1) (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 (sqrt.f64 1/2))) a1 (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2)) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 1/2) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 (pow.f64 2 -1/4))) (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (*.f64 (pow.f64 2 -1/4) (cos.f64 th))) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)) (*.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))

eval341.0ms (2.3%)

Compiler

Compiled 14395 to 8958 computations (37.8% saved)

prune250.0ms (1.7%)

Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New73713750
Fresh7512
Picked101
Done235
Total74721768
Accurracy
100.0%
Counts
768 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
✓66.8%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
38.8%
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)) (sqrt.f64 2))
▶39.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
39.9%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶57.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
57.8%
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
39.9%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓55.8%
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
57.8%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
57.8%
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
39.7%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶39.9%
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
66.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶99.5%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
55.7%
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
99.5%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2))))
▶55.7%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
55.8%
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
Compiler

Compiled 481 to 361 computations (24.9% saved)

localize85.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 43 to 18 computations (58.1% saved)

series5.0ms (0%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
1.0ms
th
@-inf
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
0.0ms
th
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
0.0ms
a1
@0
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
0.0ms
a2
@inf
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
0.0ms
th
@-inf
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))

rewrite81.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1922×prod-diff
1396×log-prod
630×fma-def
508×expm1-udef
506×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01450
129448
2382348
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
Outputs
(+.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 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)) (fma.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 (*.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 a1 a1)))))))
(/.f64 (fma.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))) (neg.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 a1 a1)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(fma.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(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 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.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 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.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 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) (cbrt.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))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (cbrt.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))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (sqrt.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))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (sqrt.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))))
(fma.f64 (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (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 (cos.f64 th)) (sqrt.f64 1/2)))
(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))))

simplify85.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1448×distribute-lft-in
1368×distribute-rgt-in
616×associate-*r*
544×associate-*l*
526×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02665495
17155025
227915017
Stop Event
1×node limit
Counts
125 → 145
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)))))
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(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (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 (cos.f64 th)) (sqrt.f64 1/2)))
(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))))
Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (sqrt.f64 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 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (sqrt.f64 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 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (sqrt.f64 1/2)))))
(*.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 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(sqrt.f64 1/2)
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) (sqrt.f64 1/2))
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(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (cbrt.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 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 a2 (*.f64 a2 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2))) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (cbrt.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))) (cbrt.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 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (cbrt.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 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) (sqrt.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 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (sqrt.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 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cos.f64 th)) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2))) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 a2 (*.f64 a2 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th)))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (cbrt.f64 (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(fabs.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))

localize33.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓99.4%
(/.f64 a1 (sqrt.f64 2))
Compiler

Compiled 18 to 14 computations (22.2% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite96.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1584×pow1
1464×add-exp-log
1464×log1p-expm1-u
1464×expm1-log1p-u
1430×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116528
2200728
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
Outputs
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.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 (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 (pow.f64 2 -1/2) a1)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(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 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1682×fma-def
1394×log-prod
1068×log-div
844×unswap-sqr
700×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201300
12791180
210011072
354831072
Stop Event
1×node limit
Counts
62 → 67
Calls
Call 1
Inputs
(/.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 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.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 (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 (pow.f64 2 -1/2) a1)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(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 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cbrt.f64 a1)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 a1)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 (/.f64 a1 2) a1)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 (/.f64 a1 2) a1)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 2))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(sqrt.f64 (*.f64 (/.f64 a1 2) a1))
(sqrt.f64 (*.f64 a1 (/.f64 a1 2)))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))

localize32.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
99.6%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
Compiler

Compiled 17 to 11 computations (35.3% saved)

localize93.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(*.f64 (cos.f64 th) (*.f64 a1 a1))
✓99.6%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
Compiler

Compiled 29 to 13 computations (55.2% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1974×pow1
1808×add-exp-log
1808×log1p-expm1-u
1808×expm1-log1p-u
218×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
121944
2253544
Stop Event
1×node limit
Counts
2 → 28
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) 2)
(sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 a1 4) (pow.f64 (cos.f64 th) 2))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1)
(pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 a1)) (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1408×log-prod
1164×associate-*r/
1062×unswap-sqr
928×associate-*l/
826×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01111978
12961970
211371896
338771860
Stop Event
1×node limit
Counts
76 → 72
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(pow.f64 a1 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) 2)
(sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 a1 4) (pow.f64 (cos.f64 th) 2))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1)
(pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 a1)) (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 (*.f64 -1/2 a1) a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (pow.f64 th 4)))) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 (*.f64 -1/2 a1) a1)))))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 (*.f64 1/24 (pow.f64 th 4)) 1))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (pow.f64 th 6)))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 th th))) (fma.f64 -1/720 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (pow.f64 th 6)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (pow.f64 th 4)))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 th th))) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (*.f64 (pow.f64 th 6) -1/720))))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 th 6)) 1) (*.f64 a1 a1))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (cos.f64 th))
(*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a1 (sqrt.f64 1/2)))
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(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (*.f64 (pow.f64 a1 4) (pow.f64 (cos.f64 th) 2)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (*.f64 a1 a1) (cos.f64 th))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))

localize72.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.1%
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
Compiler

Compiled 29 to 16 computations (44.8% saved)

series1.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite73.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1170×log-prod
630×pow-prod-down
528×pow-prod-up
494×pow-exp
406×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
123144
2304144
Stop Event
1×node limit
Counts
2 → 100
Calls
Call 1
Inputs
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
Outputs
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 1)
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) (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 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.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 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (pow.f64 2 -1/2) (/.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) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (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 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.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)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (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)) (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)) (*.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1) -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 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 0 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(*.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(*.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (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 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a2 a2)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (pow.f64 2 1/6) a2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (*.f64 (cbrt.f64 a2) a2)) (/.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 (*.f64 2 (pow.f64 a2 -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)) 1/3)
(pow.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1) -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 (pow.f64 a2 -2)) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))

simplify141.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1476×fma-def
1356×log-div
1262×associate-/r*
1078×log-prod
898×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02793846
16963736
220773730
364543730
Stop Event
1×node limit
Counts
136 → 145
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 1)
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) (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 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(*.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 a2 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (pow.f64 2 -1/2) (/.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) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (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 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.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)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (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)) (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)) (*.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(pow.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 3)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (*.f64 2 (pow.f64 a2 -4))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) -1)
(pow.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1) -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 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) -1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 0 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(*.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(*.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (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 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a2 a2)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (pow.f64 2 1/6) a2))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (*.f64 (cbrt.f64 a2) a2)) (/.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 (*.f64 2 (pow.f64 a2 -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)) 1/3)
(pow.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1) -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 (pow.f64 a2 -2)) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (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))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 (*.f64 a2 th) (*.f64 a2 th))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)))))
(fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 (*.f64 a2 th) (*.f64 a2 th)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a2 a2))) (sqrt.f64 2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a2 a2))) (sqrt.f64 2))) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (*.f64 -1/720 (*.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (*.f64 a2 a2))))))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (*.f64 -1/720 (*.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (*.f64 a2 a2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))) 1) 1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))) 3))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 6)) 1/3))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)) 2))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) -1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(+.f64 0 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (cbrt.f64 2) (*.f64 (pow.f64 2 1/6) (pow.f64 a2 -2)))
(*.f64 (cbrt.f64 2) (*.f64 (pow.f64 a2 -2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 a2 -2) (*.f64 (cbrt.f64 2) (pow.f64 2 1/6)))
(*.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 (*.f64 2 (pow.f64 a2 -4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (*.f64 a2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a2 a2)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (pow.f64 2 1/6) a2))
(/.f64 (*.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) a2)) a2)
(*.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (pow.f64 2 1/6) (*.f64 a2 a2)))
(/.f64 (*.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) a2)) a2)
(*.f64 (cbrt.f64 2) (/.f64 (pow.f64 2 1/6) (*.f64 a2 a2)))
(*.f64 (/.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 a2) a2)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (/.f64 (cbrt.f64 2) (*.f64 a2 (cbrt.f64 a2))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (pow.f64 2 1/4) (*.f64 (cbrt.f64 a2) a2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(*.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a2 (cbrt.f64 a2))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (*.f64 a2 a2))))
(/.f64 (/.f64 (pow.f64 2 1/2) (*.f64 a2 (cbrt.f64 a2))) (cbrt.f64 (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 (cbrt.f64 a2) (cbrt.f64 (*.f64 a2 a2)))))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (*.f64 2 (pow.f64 a2 -4)) 1/2)
(sqrt.f64 (*.f64 2 (pow.f64 a2 -4)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6) 1/3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)))
(pow.f64 (/.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) 1) -1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(sqrt.f64 (*.f64 2 (pow.f64 a2 -4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 a2 -2)) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(cbrt.f64 (/.f64 (pow.f64 2 3/2) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1) 1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 3))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a2) 6)) 1/3))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a2)) 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) -1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))

eval368.0ms (2.5%)

Compiler

Compiled 8132 to 4776 computations (41.3% saved)

prune107.0ms (0.7%)

Pruning

33 alts after pruning (26 fresh and 7 done)

PrunedKeptTotal
New46817485
Fresh4913
Picked011
Done167
Total47333506
Accurracy
100.0%
Counts
506 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.9%
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
39.7%
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
✓66.8%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
39.7%
(/.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) a2) (pow.f64 2 1/4))
38.8%
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)) (sqrt.f64 2))
✓39.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
39.9%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓57.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
57.8%
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
39.7%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
39.9%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
39.8%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
34.8%
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
39.9%
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
✓55.8%
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.7%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓39.9%
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
▶66.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
35.1%
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
39.7%
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
39.7%
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
55.7%
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
14.9%
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
▶99.5%
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
38.8%
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
57.8%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
✓55.7%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
▶39.8%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
99.5%
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
▶39.7%
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
57.9%
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
▶55.8%
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
Compiler

Compiled 707 to 553 computations (21.8% saved)

localize147.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiled 48 to 15 computations (68.8% saved)

series3.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
th
@-inf
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
0.0ms
th
@0
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
0.0ms
th
@0
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
0.0ms
a2
@inf
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
0.0ms
a2
@0
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))

rewrite76.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1330×log-prod
1196×prod-diff
678×pow-prod-up
660×pow-exp
516×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01460
128856
2360656
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
Outputs
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1)
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 4))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))

simplify95.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1680×fma-def
1416×log-prod
888×distribute-lft-in
886×unswap-sqr
872×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02024664
15104262
216404036
370604036
Stop Event
1×node limit
Counts
128 → 119
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.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 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 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (*.f64 1/24 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (*.f64 -1/720 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1)
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 4))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
Outputs
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 (*.f64 a1 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.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 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) -1/2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (*.f64 (sqrt.f64 1/2) (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 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) -1/2)))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.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 a2 a2) (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))
(fma.f64 1/24 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 th th) -1/2))))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (*.f64 th th))))) (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 th 4)) 1) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
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(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 3))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3)) 1/3))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 1/2 1/4) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)))) 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))
(*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 a1 a2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 a2 a1)))
(*.f64 (cos.f64 th) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))
(*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 a1 a2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 a2 a1)))
(*.f64 (cos.f64 th) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) 1/3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 4))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1) 1))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 3))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1/3))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))) 2))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))

localize39.0ms (0.3%)

Local Accuracy

Found 1 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Compiler

Compiled 17 to 11 computations (35.3% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
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
@-inf
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))

rewrite88.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1350×pow1
1240×add-exp-log
1240×log1p-expm1-u
1240×expm1-log1p-u
1210×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
115917
2177917
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Outputs
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
2076×log-prod
1176×distribute-rgt-in
1154×distribute-lft-in
834×associate-*r*
736×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039391
194391
2337391
32272391
47183391
Stop Event
1×node limit
Counts
23 → 13
Calls
Call 1
Inputs
(*.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 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
Outputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))

localize73.0ms (0.5%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
✓99.5%
(/.f64 1 (/.f64 (sqrt.f64 2) a2))
✓99.2%
(/.f64 (sqrt.f64 2) a2)
Compiler

Compiled 27 to 22 computations (18.5% saved)

series2.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
a2
@0
(/.f64 (sqrt.f64 2) a2)
0.0ms
a2
@0
(/.f64 1 (/.f64 (sqrt.f64 2) a2))
0.0ms
a2
@inf
(/.f64 1 (/.f64 (sqrt.f64 2) a2))
0.0ms
a2
@-inf
(/.f64 1 (/.f64 (sqrt.f64 2) a2))
0.0ms
a2
@inf
(/.f64 (sqrt.f64 2) a2)

rewrite69.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1914×pow1
1770×add-exp-log
1770×log1p-expm1-u
1770×expm1-log1p-u
202×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01045
120839
2256039
Stop Event
1×node limit
Counts
3 → 96
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) a2)
(/.f64 1 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
Outputs
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(sqrt.f64 (/.f64 2 (*.f64 a2 a2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (*.f64 (pow.f64 2 -1/2) 1) a2)
(*.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -2))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(exp.f64 (-.f64 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 a2 1) (/.f64 (sqrt.f64 2) a2))
(/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a2 -1) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))

simplify82.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1732×fma-neg
1294×associate-/r/
1050×log-div
686×fma-def
672×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02182126
15031940
219801784
370981784
Stop Event
1×node limit
Counts
120 → 115
Calls
Call 1
Inputs
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(sqrt.f64 (/.f64 2 (*.f64 a2 a2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (*.f64 (pow.f64 2 -1/2) 1) a2)
(*.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -2))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(exp.f64 (-.f64 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 a2 1) (/.f64 (sqrt.f64 2) a2))
(/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 a2 -1) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
Outputs
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (sqrt.f64 2) (/.f64 1 a2))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (/.f64 (sqrt.f64 2) a2) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 1 (/.f64 (sqrt.f64 2) a2))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 (/.f64 2 a2) a2)))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 (/.f64 2 a2) a2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))
(*.f64 (cbrt.f64 2) (*.f64 (/.f64 1 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) a2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (/.f64 1 a2) (sqrt.f64 2))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (cbrt.f64 2) (*.f64 (/.f64 1 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) a2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))
(*.f64 (cbrt.f64 2) (*.f64 (/.f64 1 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (cbrt.f64 2) a2) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(pow.f64 (/.f64 (sqrt.f64 2) a2) 1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(sqrt.f64 (/.f64 2 (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (/.f64 2 a2) a2))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 3)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))
(+.f64 1 (-.f64 (/.f64 (sqrt.f64 2) a2) 1))
(+.f64 (/.f64 (sqrt.f64 2) a2) 0)
(/.f64 (sqrt.f64 2) a2)
(-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1)
(/.f64 a2 (sqrt.f64 2))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(/.f64 a2 (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 2))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 2) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 -1 (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -1))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (/.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 2 a2) a2))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 2 a2) a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (/.f64 (cbrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)) (/.f64 (sqrt.f64 a2) (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) 1) a2)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (sqrt.f64 a2)) (sqrt.f64 a2))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(/.f64 a2 (sqrt.f64 2))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) -2))
(/.f64 a2 (sqrt.f64 2))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(/.f64 a2 (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (*.f64 2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) -1))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (-.f64 (log.f64 a2) (log.f64 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (/.f64 (sqrt.f64 2) a2) (cbrt.f64 a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (sqrt.f64 a2) (/.f64 (/.f64 (sqrt.f64 2) a2) (sqrt.f64 a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 a2 1) (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))
(/.f64 a2 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))))
(/.f64 a2 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 (/.f64 2 a2) a2))))
(/.f64 (*.f64 a2 -1) (neg.f64 (/.f64 (sqrt.f64 2) a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (sqrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) (pow.f64 a2 3)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (/.f64 (sqrt.f64 2) a2) 3)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

localize53.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓98.4%
(/.f64 1 (sqrt.f64 2))
Compiler

Compiled 39 to 20 computations (48.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite75.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1624×prod-diff
1148×log-prod
602×pow-exp
564×fma-def
440×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
127428
2356028
Stop Event
1×node limit
Counts
2 → 117
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(+.f64 0 (sqrt.f64 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1/2))) (cbrt.f64 (exp.f64 (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) 1)
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 1/2)))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 2))) -1)
(sqrt.f64 1/2)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 1/2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 2) 1/2) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sqrt.f64 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (+.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 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 -1 (-.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)) 1) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) -1) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.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)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3)) (fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (-.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (neg.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.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 (sqrt.f64 1/2) (-.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) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a2) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a1) a1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))

simplify113.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1072×distribute-lft-in
982×distribute-rgt-in
970×unswap-sqr
386×associate-*l*
374×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03034529
17544347
228194143
Stop Event
1×node limit
Counts
141 → 169
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 0 (sqrt.f64 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1/2))) (cbrt.f64 (exp.f64 (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) 1)
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 1/2)))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 2))) -1)
(sqrt.f64 1/2)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 1/2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 2)) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 2) 1/2) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 1/2))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (sqrt.f64 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 1/2))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (+.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 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (*.f64 -1 (-.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)) 1) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) -1) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.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)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3)) (fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (-.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (neg.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.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 (sqrt.f64 1/2) (-.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) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(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))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a2) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a1) a1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.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 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.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 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.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 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 0 (sqrt.f64 1/2))
(sqrt.f64 1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1/2))) (cbrt.f64 (exp.f64 (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1/2)))))
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(sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (/.f64 (*.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 6)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (*.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 6)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 2 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.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))))
(/.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))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1) 1))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1/3))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))) 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a1 a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a2 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a2) (*.f64 (sqrt.f64 (sqrt.f64 1/2)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2))) (*.f64 a1 (sqrt.f64 (sqrt.f64 1/2))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a1) a1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a1 a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))

localize87.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.9%
(*.f64 a1 (cos.f64 th))
✓99.8%
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
✓99.3%
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
Compiler

Compiled 31 to 16 computations (48.4% saved)

series4.0ms (0%)

Counts
3 → 32
Calls

18 calls:

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

rewrite87.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1174×log-prod
784×prod-exp
706×pow-prod-down
520×pow-prod-up
472×pow-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
122659
2287259
Stop Event
1×node limit
Counts
3 → 121
Calls
Call 1
Inputs
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a1 (cos.f64 th))
Outputs
(+.f64 0 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1)
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a1 (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 a1 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) 1) -1)
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1) (log.f64 (pow.f64 2 -1/2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 2 -1/2)) (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(+.f64 0 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (*.f64 a1 (neg.f64 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 (neg.f64 (cos.f64 th))) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) -1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 2))
(exp.f64 (+.f64 (log.f64 a1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (*.f64 (log.f64 a1) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) (log.f64 a1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) (*.f64 (log.f64 a1) 1)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 0 (*.f64 a1 (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))) 1)
(pow.f64 (*.f64 a1 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a1 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a1 (cos.f64 th)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (log.f64 a1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a1) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 a1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 a1) 1)))
(log1p.f64 (expm1.f64 (*.f64 a1 (cos.f64 th))))

simplify93.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1354×unswap-sqr
1170×associate-/r*
538×log-prod
344×associate-*r*
340×sqr-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03374189
18074059
229154055
Stop Event
1×node limit
Counts
153 → 183
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 (pow.f64 th 6)) (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 (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))
a1
(+.f64 a1 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))))
(+.f64 a1 (+.f64 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))) (*.f64 1/24 (*.f64 a1 (pow.f64 th 4)))))
(+.f64 a1 (+.f64 (*.f64 -1/720 (*.f64 a1 (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))) (*.f64 1/24 (*.f64 a1 (pow.f64 th 4))))))
(+.f64 0 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1)
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a1 (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 a1 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (pow.f64 2 1/6)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a1 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) 1) -1)
(neg.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2))
(log.f64 (exp.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))) -1))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1) (log.f64 (pow.f64 2 -1/2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 2 -1/2)) (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(+.f64 0 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 (*.f64 a1 (neg.f64 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 (neg.f64 (cos.f64 th))) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 3)
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) -1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 2))
(exp.f64 (+.f64 (log.f64 a1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (*.f64 (log.f64 a1) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) (log.f64 a1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) (*.f64 (log.f64 a1) 1)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(+.f64 0 (*.f64 a1 (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))) 1)
(pow.f64 (*.f64 a1 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a1 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a1 (cos.f64 th)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (log.f64 a1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a1) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 a1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 a1) 1)))
(log1p.f64 (expm1.f64 (*.f64 a1 (cos.f64 th))))
Outputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2)) (fma.f64 -1/720 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a1 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/720 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (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)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a1 a1) (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))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (*.f64 a1 a1) (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)))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 -1/720 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 -1/720 (/.f64 (*.f64 a1 (*.f64 a1 (pow.f64 th 6))) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (*.f64 th th)) (fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
a1
(+.f64 a1 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))))
(+.f64 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))))
(fma.f64 -1/2 (*.f64 a1 (*.f64 th th)) a1)
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(+.f64 a1 (+.f64 (*.f64 -1/720 (*.f64 a1 (pow.f64 th 6))) (+.f64 (*.f64 -1/2 (*.f64 a1 (pow.f64 th 2))) (*.f64 1/24 (*.f64 a1 (pow.f64 th 4))))))
(+.f64 a1 (fma.f64 -1/720 (*.f64 a1 (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 a1 (*.f64 th th)) (*.f64 1/24 (*.f64 a1 (pow.f64 th 4))))))
(+.f64 a1 (fma.f64 -1/720 (*.f64 a1 (pow.f64 th 6)) (fma.f64 -1/2 (*.f64 a1 (*.f64 th th)) (*.f64 a1 (*.f64 (pow.f64 th 4) 1/24)))))
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(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
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(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
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(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(*.f64 (cbrt.f64 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (cbrt.f64 2)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
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(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))
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(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3)
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(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2))
(pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 2)
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) -1)
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(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
(pow.f64 (/.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) (pow.f64 2 3/2)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) (pow.f64 2 3/2)))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) 1) -1)
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(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 1) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/6)) (/.f64 (*.f64 a1 a1) (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 2) 2))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2))
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3) 1/3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 2)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a1 a1) (cos.f64 th))) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) 2) 2))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) 1) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 1/3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 a1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) (*.f64 (log.f64 a1) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) (log.f64 a1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (+.f64 (*.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1) (*.f64 (log.f64 a1) 1)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(+.f64 0 (*.f64 a1 (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))))
(*.f64 a1 (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (cos.f64 th)))) 1)
(*.f64 a1 (cos.f64 th))
(pow.f64 (*.f64 a1 (cos.f64 th)) 1)
(*.f64 a1 (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) 3)
(*.f64 a1 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2) 1/2)
(*.f64 a1 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3) 1/3)
(*.f64 a1 (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) 2)
(*.f64 a1 (cos.f64 th))
(sqrt.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 2))
(*.f64 a1 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)))
(*.f64 a1 (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (cos.f64 th)))))
(*.f64 a1 (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 a1 (cos.f64 th)) 3))
(*.f64 a1 (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 a1 (cos.f64 th))))
(*.f64 a1 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 a1 (cos.f64 th))))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a1 (cos.f64 th))) 1) 1))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th)))) 3))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 a1 (cos.f64 th)))) 1/3))
(*.f64 a1 (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th)))) 2))
(*.f64 a1 (cos.f64 th))
(exp.f64 (+.f64 (log.f64 a1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (log.f64 (cos.f64 th))))
(*.f64 a1 (cos.f64 th))
(exp.f64 (+.f64 (*.f64 (log.f64 a1) 1) (*.f64 (log.f64 (cos.f64 th)) 1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a1) 1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 a1)))
(*.f64 a1 (cos.f64 th))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (*.f64 (log.f64 a1) 1)))
(*.f64 a1 (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 a1 (cos.f64 th))))
(*.f64 a1 (cos.f64 th))

eval507.0ms (3.4%)

Compiler

Compiled 9375 to 5845 computations (37.7% saved)

prune175.0ms (1.2%)

Pruning

38 alts after pruning (26 fresh and 12 done)

PrunedKeptTotal
New5918599
Fresh31821
Picked011
Done01111
Total59438632
Accurracy
100.0%
Counts
632 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.9%
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
39.7%
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
39.7%
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
✓66.8%
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
39.7%
(/.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) a2) (pow.f64 2 1/4))
✓39.7%
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
39.9%
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓57.4%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
57.8%
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
39.7%
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
39.9%
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
39.6%
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
39.8%
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
34.8%
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
39.9%
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
✓55.8%
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
39.7%
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓39.9%
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓66.8%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
35.1%
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
39.7%
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
39.7%
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
55.7%
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
14.9%
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
33.4%
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th)))))
99.5%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
✓99.5%
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
38.8%
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
57.8%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
✓55.7%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
✓39.8%
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
✓39.7%
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
32.9%
(*.f64 a2 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)))
39.7%
(*.f64 a2 (/.f64 1 (*.f64 (/.f64 1 a2) (sqrt.f64 2))))
57.9%
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
37.8%
(*.f64 a1 (/.f64 (+.f64 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 th th)))) (sqrt.f64 2)))
✓55.8%
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
Compiler

Compiled 1100 to 705 computations (35.9% saved)

regimes272.0ms (1.8%)

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

8 calls:

49.0ms
(cos.f64 th)
27.0ms
a2
26.0ms
th
26.0ms
a1
22.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 683 to 386 computations (43.5% saved)

regimes245.0ms (1.6%)

Counts
48 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.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 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(*.f64 a2 (/.f64 1 (*.f64 (/.f64 1 a2) (sqrt.f64 2))))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a1 (/.f64 (+.f64 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th)))))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.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 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(/.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) a2) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.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)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
Outputs
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Calls

7 calls:

67.0ms
(*.f64 a2 a2)
64.0ms
th
25.0ms
a1
24.0ms
a2
19.0ms
(cos.f64 th)
Results
AccuracySegmentsBranch
99.6%1a1
99.6%1a2
99.6%1th
99.6%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.6%1(cos.f64 th)
99.6%1(*.f64 a1 a1)
99.6%1(*.f64 a2 a2)
Compiler

Compiled 504 to 293 computations (41.9% saved)

regimes142.0ms (0.9%)

Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.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 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(*.f64 a2 (/.f64 1 (*.f64 (/.f64 1 a2) (sqrt.f64 2))))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a1 (/.f64 (+.f64 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th)))))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.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 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(/.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) a2) (pow.f64 2 1/4))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

7 calls:

22.0ms
a1
22.0ms
a2
21.0ms
th
18.0ms
(cos.f64 th)
17.0ms
(/.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 468 to 277 computations (40.8% saved)

regimes207.0ms (1.4%)

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

7 calls:

69.0ms
(cos.f64 th)
37.0ms
a2
21.0ms
a1
20.0ms
th
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.5%1a1
99.5%1a2
99.5%1th
99.5%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.5%1(cos.f64 th)
99.5%1(*.f64 a1 a1)
99.5%1(*.f64 a2 a2)
Compiler

Compiled 455 to 273 computations (40% saved)

regimes140.0ms (0.9%)

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

7 calls:

23.0ms
a2
21.0ms
th
20.0ms
a1
18.0ms
(cos.f64 th)
16.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
AccuracySegmentsBranch
99.5%1a1
99.5%1th
99.5%1(/.f64 (cos.f64 th) (sqrt.f64 2))
99.5%1(cos.f64 th)
99.5%1(*.f64 a1 a1)
99.5%1a2
99.5%1(*.f64 a2 a2)
Compiler

Compiled 442 to 269 computations (39.1% saved)

regimes550.0ms (3.7%)

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

7 calls:

145.0ms
a2
88.0ms
(cos.f64 th)
87.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
71.0ms
a1
68.0ms
th
Results
AccuracySegmentsBranch
82.5%4th
91.3%3a1
91.9%8a2
84.3%6(/.f64 (cos.f64 th) (sqrt.f64 2))
84.3%6(cos.f64 th)
85.8%4(*.f64 a1 a1)
82.8%2(*.f64 a2 a2)
Compiler

Compiled 429 to 265 computations (38.2% saved)

regimes71.0ms (0.5%)

Counts
35 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.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 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(*.f64 a2 (/.f64 1 (*.f64 (/.f64 1 a2) (sqrt.f64 2))))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a1 (/.f64 (+.f64 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th)))))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.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 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
Outputs
(*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))
Calls

1 calls:

61.0ms
a1
Results
AccuracySegmentsBranch
91.3%3a1
Compiler

Compiled 330 to 205 computations (37.9% saved)

regimes287.0ms (1.9%)

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

5 calls:

88.0ms
(*.f64 a1 a1)
81.0ms
a2
53.0ms
th
39.0ms
a1
18.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
76.1%3th
78.4%2a2
76.3%4(*.f64 a1 a1)
75.5%2(*.f64 a2 a2)
76.4%2a1
Compiler

Compiled 296 to 192 computations (35.1% saved)

regimes70.0ms (0.5%)

Counts
28 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.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 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a2) a2))
(/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2))
(*.f64 a2 (/.f64 1 (*.f64 (/.f64 1 a2) (sqrt.f64 2))))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (-.f64 (+.f64 1 (/.f64 (sqrt.f64 2) a2)) 1)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a1 (/.f64 (+.f64 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)))
(/.f64 (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 -1/2 (*.f64 th th)) 1)) (sqrt.f64 2))
(*.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 -1/2 (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th)))))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
Outputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Calls

5 calls:

16.0ms
th
14.0ms
a1
14.0ms
a2
9.0ms
(*.f64 a2 a2)
9.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
66.8%1(*.f64 a1 a1)
66.8%1th
66.8%1(*.f64 a2 a2)
66.8%1a1
66.8%1a2
Compiler

Compiled 287 to 186 computations (35.2% saved)

regimes243.0ms (1.6%)

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

5 calls:

70.0ms
(*.f64 a1 a1)
58.0ms
th
47.0ms
(*.f64 a2 a2)
35.0ms
a1
27.0ms
a2
Results
AccuracySegmentsBranch
61.7%4a1
61.2%2a2
49.5%7th
59.8%6(*.f64 a1 a1)
59.0%2(*.f64 a2 a2)
Compiler

Compiled 165 to 116 computations (29.7% saved)

regimes67.0ms (0.4%)

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

1 calls:

64.0ms
a2
Results
AccuracySegmentsBranch
61.2%2a2
Compiler

Compiled 87 to 57 computations (34.5% saved)

regimes17.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.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))
Outputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

1 calls:

15.0ms
a2
Results
AccuracySegmentsBranch
61.2%2a2
Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes51.0ms (0.3%)

Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Outputs
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

1 calls:

13.0ms
a2
Results
AccuracySegmentsBranch
61.2%2a2
Compiler

Compiled 43 to 30 computations (30.2% saved)

regimes14.0ms (0.1%)

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

1 calls:

12.0ms
a2
Results
AccuracySegmentsBranch
61.2%2a2
Compiler

Compiled 37 to 26 computations (29.7% saved)

regimes9.0ms (0.1%)

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

1 calls:

9.0ms
a2
Results
AccuracySegmentsBranch
61.1%2a2
Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes12.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Outputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Calls

4 calls:

4.0ms
a1
3.0ms
a2
3.0ms
th
2.0ms
(*.f64 a1 a1)
Results
AccuracySegmentsBranch
39.8%1th
39.8%1(*.f64 a1 a1)
39.8%1a1
39.8%1a2
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch75.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-2.8282553175074745e-124
-1.7178536738095847e-127
42.0ms
-5.616402531127031e-15
-1.1354154907318171e-20
Results
28.0ms63×body1024valid
23.0ms128×body256valid
7.0ms42×body256infinite
7.0ms23×body512valid
4.0ms9×body1024infinite
2.0ms7×body512infinite
Compiler

Compiled 487 to 360 computations (26.1% saved)

bsearch118.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
79.0ms
-2.8282553175074745e-124
-1.7178536738095847e-127
38.0ms
-5.616402531127031e-15
-1.1354154907318171e-20
Results
67.0ms135×body256valid
22.0ms46×body1024valid
9.0ms32×body512valid
6.0ms37×body256infinite
5.0ms12×body1024infinite
3.0ms10×body512infinite
Compiler

Compiled 487 to 360 computations (26.1% saved)

bsearch34.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
4.548175305883712e-125
3.702210646795534e-122
Results
11.0ms26×body1024valid
10.0ms59×body256valid
4.0ms27×body256infinite
2.0ms5×body1024infinite
2.0ms7×body512valid
1.0ms4×body512infinite
Compiler

Compiled 244 to 180 computations (26.2% saved)

bsearch74.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
74.0ms
157306023.78893334
109028529939.29013
Results
47.0ms56×body256valid
15.0ms32×body1024valid
4.0ms13×body512valid
3.0ms18×body256infinite
2.0ms6×body1024infinite
1.0ms3×body512infinite
Compiler

Compiled 204 to 164 computations (19.6% saved)

bsearch33.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
157306023.78893334
109028529939.29013
Results
10.0ms65×body256valid
10.0ms24×body1024valid
5.0ms15×body512valid
3.0ms16×body256infinite
2.0ms4×body1024infinite
1.0ms3×body512infinite
1.0ms1×body2048valid
Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch33.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
157306023.78893334
109028529939.29013
Results
11.0ms27×body1024valid
10.0ms65×body256valid
4.0ms18×body256infinite
3.0ms12×body512valid
2.0ms5×body1024infinite
1.0ms1×body2048valid
Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch33.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
157306023.78893334
109028529939.29013
Results
9.0ms20×body1024valid
9.0ms54×body256valid
5.0ms17×body512valid
4.0ms22×body256infinite
3.0ms8×body1024infinite
2.0ms7×body512infinite
Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
157306023.78893334
109028529939.29013
Results
13.0ms34×body1024valid
9.0ms55×body256valid
4.0ms10×body1024infinite
3.0ms17×body256infinite
2.0ms7×body512valid
1.0ms5×body512infinite
Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch36.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
157306023.78893334
109028529939.29013
Results
12.0ms28×body1024valid
10.0ms61×body256valid
5.0ms12×body512valid
3.0ms7×body1024infinite
3.0ms16×body256infinite
1.0ms4×body512infinite
Compiler

Compiled 188 to 148 computations (21.3% saved)

simplify71.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
30×*-commutative
2×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081768
1100768
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(if (<=.f64 a1 -1784852045121347/20282409603651670423947251286016) (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (if (<=.f64 a1 -1518337021504551/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))))
(if (<=.f64 a1 -602134035108409/316912650057057350374175801344) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (if (<=.f64 a1 -3905996416105825/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))))
(if (<=.f64 a2 2698025344585293/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(if (<=.f64 a2 1900000000) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2)))
(if (<=.f64 a2 5100000000) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(if (<=.f64 a2 4400000000) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 2200000000) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 1250000000) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1900000000) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Outputs
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(if (<=.f64 a1 -1784852045121347/20282409603651670423947251286016) (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (if (<=.f64 a1 -1518337021504551/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))))
(if (<=.f64 a1 -1784852045121347/20282409603651670423947251286016) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (if (<=.f64 a1 -1518337021504551/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))))))
(if (<=.f64 a1 -602134035108409/316912650057057350374175801344) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (if (<=.f64 a1 -3905996416105825/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)))))
(if (<=.f64 a1 -602134035108409/316912650057057350374175801344) (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))) (if (<=.f64 a1 -3905996416105825/95268205270873786358080970147496530326800480428008152797215483387004752771599292606210513399154418065180265231976520474104247304665780191232) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))))))
(if (<=.f64 a2 2698025344585293/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) (*.f64 a1 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 a2 2698025344585293/186070713419675363980626894819329160794532188335953423432061490990243657757029868371504908982723472783555205531204141550984858016925351936) (*.f64 a1 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2))) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(if (<=.f64 a2 1900000000) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 1 a2)))
(if (<=.f64 a2 5100000000) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(if (<=.f64 a2 4400000000) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 2200000000) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 2200000000) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 1250000000) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1250000000) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1900000000) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 1900000000) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
Compiler

Compiled 321 to 225 computations (29.9% saved)

soundness2.1s (13.7%)

Rules
1914×pow1
1826×prod-diff
1776×log-prod
1776×log-prod
1776×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
26135
39135
411835
513635
615435
717435
817635
01539
13035
26135
39135
411835
513635
615435
717435
817635
01450
130048
2408848
03628061
19787727
238336473
03757798
19487176
238626616
01111978
12961970
211371896
338771860
02315304
15245158
215994880
01312149
12832107
27382067
327781983
471631983
017100
136690
2489490
01312149
12832107
27382067
327781983
471631983
03757798
19487176
238626616
01312149
12832107
27382067
327781983
471631983
017100
136690
2489490
01045
120839
2256039
02315304
15245158
215994880
02784095
17064009
222503991
374923991
017100
136690
2489490
03757798
19487176
238626616
02665495
17155025
227915017
02315304
15245158
215994880
02665495
17155025
227915017
03628061
19787727
238336473
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×saturated
1×saturated
Compiler

Compiled 1493 to 880 computations (41.1% saved)

end309.0ms (2.1%)

Remove

(sort a1 a2)

Compiler

Compiled 626 to 334 computations (46.6% saved)

Profiling

Loading profile data...