Migdal et al, Equation (64)

Time bar (total: 9.6s)

analyze0.0ms (0%)

Algorithm
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)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 0.0ms
Operation ival-mult, total time spent: 0.0ms
Operation ival-div, total time spent: 0.0ms
Operation ival-cos, total time spent: 0.0ms
Operation ival-add, total time spent: 0.0ms
Operation const, total time spent: 0.0ms

sample2.8s (29.2%)

Results
1.6s4726×body256valid
1.1s3529×body256infinite
1.0msbody1024valid
Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 245.0ms
Operation ival-mult, total time spent: 445.0ms
Operation ival-div, total time spent: 227.0ms
Operation ival-cos, total time spent: 684.0ms
Operation ival-add, total time spent: 49.0ms
Operation const, total time spent: 28.0ms
Bogosity

preprocess401.0ms (4.2%)

Algorithm
egg-herbie
Rules
3576×fma-def
1010×div-sub
974×associate-/l*
962×distribute-lft-in
814×distribute-lft-neg-in
Problems
256×No Errors
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2418562
31078562
42438562
54177562
65513562
76050562
86122562
96133562
106139562
117356562
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a2 a2)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a2 a2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.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 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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.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 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a2) (neg.f64 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 a1 a1)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a1) (neg.f64 a1))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (neg.f64 a2) (neg.f64 a2)))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(neg.f64 (+.f64 (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (*.f64 a2 a2))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (neg.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)))
(+.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 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.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) (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)))
(/.f64 (cos.f64 a2) (/.f64 (sqrt.f64 2) (fma.f64 th th (*.f64 a1 a1))))
Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 82 to 45 computations (45.1% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 21.0ms
Operation ival-mult, total time spent: 11.0ms
Operation ival-div, total time spent: 9.0ms
Operation ival-cos, total time spent: 8.0ms
Operation ival-add, total time spent: 1.0ms
Operation const, total time spent: 2.0ms

eval1.0ms (0%)

Compiler

Compiled 40 to 21 computations (47.5% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

localize129.0ms (1.3%)

Localize:

Found 2 expressions with local error:

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

Compiled 43 to 18 computations (58.1% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 10.0ms
Operation ival-mult, total time spent: 45.0ms
Operation ival-div, total time spent: 7.0ms
Operation ival-cos, total time spent: 9.0ms
Operation ival-add, total time spent: 2.0ms
Operation const, total time spent: 1.0ms

series10.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

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

rewrite295.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1826×prod-diff
704×log1p-expm1-u
704×expm1-log1p-u
386×expm1-udef
386×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01865
123160
2320660
Stop Event
node limit
Counts
2 → 81
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 (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 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.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 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.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 (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) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) 1) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1))
(-.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 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.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 (pow.f64 a1 2) (pow.f64 a2 2)) (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) (sqrt.f64 2)) (pow.f64 a1 2)) 3) (pow.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2))) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (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 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.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 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))

simplify93.0ms (1%)

Algorithm
egg-herbie
Rules
1044×fma-def
842×distribute-rgt-in
840×distribute-lft-in
382×associate-*l*
370×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02676602
17586521
231656174
Stop Event
node limit
Counts
121 → 131
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 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (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 (*.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 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (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 (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 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.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 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.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 (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) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
(+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) 1) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 1))
(-.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 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.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 (pow.f64 a1 2) (pow.f64 a2 2)) (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) (sqrt.f64 2)) (pow.f64 a1 2)) 3) (pow.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2))) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (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 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.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 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.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 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(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 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (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 (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))))
(fma.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (pow.f64 th 2) (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 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a1 a1 (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2)) (+.f64 (/.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)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a1 a1 (pow.f64 a2 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(fma.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (fma.f64 a1 a1 (pow.f64 a2 2)))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (/.f64 (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)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 2)))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (cos.f64 th))) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (pow.f64 (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (+.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 a1 4)) (*.f64 (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (-.f64 (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6) (pow.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)) 3)) (fma.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)) (-.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (pow.f64 a1 4) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2))) (*.f64 (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 a1 4)) (*.f64 (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (-.f64 (*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 2)) (*.f64 (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))) (-.f64 (*.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))) 1)
(/.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))))
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(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (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 (cos.f64 th) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))) (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (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 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.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))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) 1/3)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.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) (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (pow.f64 a1 2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))

eval99.0ms (1%)

Compiler

Compiled 2963 to 1921 computations (35.2% saved)

prune79.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1229131
Fresh000
Picked011
Done000
Total12210132
Accuracy
100.0%
Counts
132 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.7%
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.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)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
72.7%
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.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)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 608 to 462 computations (24% saved)

localize468.0ms (4.9%)

Localize:

Found 14 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))
99.0%
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
98.9%
(/.f64 (cos.f64 th) (sqrt.f64 2))
99.7%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.1%
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
99.1%
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
99.8%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.7%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
99.6%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
98.4%
(/.f64 1 (sqrt.f64 2))
99.7%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
98.4%
(/.f64 1 (neg.f64 (sqrt.f64 2)))
Compiler

Compiled 234 to 110 computations (53% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 65.0ms
Operation ival-pow, total time spent: 72.0ms
Operation ival-neg, total time spent: 6.0ms
Operation ival-mult, total time spent: 18.0ms
Operation ival-log1p, total time spent: 18.0ms
Operation ival-expm1, total time spent: 7.0ms
Operation ival-div, total time spent: 35.0ms
Operation ival-cos, total time spent: 8.0ms
Operation ival-add, total time spent: 2.0ms
Operation const, total time spent: 9.0ms

series190.0ms (2%)

Counts
13 → 216
Calls

57 calls:

TimeVariablePointExpression
64.0ms
th
@inf
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
40.0ms
th
@inf
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
29.0ms
th
@-inf
(log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))
19.0ms
th
@inf
(log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))
9.0ms
th
@inf
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))

rewrite121.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
518×associate-*r*
372×associate-*l*
252×frac-times
239×log1p-expm1-u
238×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036352
1583352
Stop Event
node limit
Counts
13 → 324
Calls
Call 1
Inputs
(/.f64 1 (neg.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
-2
-1
-1/2
-1/4
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(/.f64 -2 (cos.f64 th))
(/.f64 (cos.f64 th) -2)
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 -2 (-.f64 (cos.f64 th) (cos.f64 th))))
(/.f64 (cos.f64 th) (+.f64 (cos.f64 th) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 0 (+.f64 (cos.f64 th) (*.f64 0 (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
-2
-1
-1/2
-1/4
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 -2 a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) -2)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 -2 (+.f64 a1 a2))
(/.f64 -2 (/.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) -2)
(pow.f64 (+.f64 a1 a2) 1/3)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(fma.f64 -2 a1 a2)
(fma.f64 -2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(*.f64 -2 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(log.f64 (/.f64 -2 (exp.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(log1p.f64 (expm1.f64 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 a2 (cos.f64 th))))
(/.f64 a2 (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) -2)
(/.f64 (cos.f64 th) a2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(neg.f64 (*.f64 a2 (cos.f64 th)))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 -2 (cos.f64 th))
(/.f64 (cos.f64 th) -2)
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 -2 (-.f64 (cos.f64 th) (cos.f64 th))))
(/.f64 (cos.f64 th) (+.f64 (cos.f64 th) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 0 (+.f64 (cos.f64 th) (*.f64 0 (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (log.f64 (cos.f64 th)) (log.f64 (cos.f64 th)))
(+.f64 (log.f64 (cos.f64 th)) 0)
(+.f64 0 (log.f64 (cos.f64 th)))
(-.f64 (log.f64 (cos.f64 th)) 0)
(-.f64 0 (log.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cos.f64 th)))) -2)
(*.f64 -2 (log.f64 (cos.f64 th)))
(*.f64 (log.f64 (cos.f64 th)) -2)
(*.f64 (log.f64 (cos.f64 th)) (log.f64 (cos.f64 th)))
(pow.f64 (log.f64 (cos.f64 th)) -2)
(pow.f64 (log.f64 (cos.f64 th)) 1/3)
(neg.f64 (log.f64 (cos.f64 th)))
(sqrt.f64 (log.f64 (cos.f64 th)))
(fabs.f64 (log.f64 (cos.f64 th)))
(log.f64 (cos.f64 th))
(cbrt.f64 (log.f64 (cos.f64 th)))
(expm1.f64 (log1p.f64 (log.f64 (cos.f64 th))))
(exp.f64 (log.f64 (log.f64 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cos.f64 th))) -2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))

simplify221.0ms (2.3%)

Algorithm
egg-herbie
Rules
1216×distribute-lft-in
1182×times-frac
1102×distribute-rgt-in
902×associate-+r+
816×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041317617
198617235
2305916331
Stop Event
node limit
Counts
540 → 371
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 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (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 (*.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 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (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 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (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 a2 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.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 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (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))
(pow.f64 1/2 1/4)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (pow.f64 1/2 1/4))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 4))) (pow.f64 1/2 1/4)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 6))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 4))) (pow.f64 1/2 1/4))))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
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(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
-2
-1
-1/2
-1/4
1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 (+.f64 a1 a2) (fma.f64 a2 -2 a2))
(+.f64 (+.f64 a1 a2) (fma.f64 a2 a2 a2))
(+.f64 (*.f64 (+.f64 a1 a2) a1) (*.f64 (+.f64 a1 a2) a2))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(-.f64 a1 a2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) -2)
(-.f64 (/.f64 a1 (+.f64 a1 a2)) (/.f64 a2 (+.f64 a1 a2)))
(/.f64 -2 (+.f64 a1 a2))
(/.f64 -2 (/.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (+.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (-.f64 a2 a1) (-.f64 a2 a1))
(pow.f64 (+.f64 a1 a2) -2)
(pow.f64 (+.f64 a1 a2) 1/3)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a1 a2))))
(log.f64 (/.f64 (exp.f64 a1) (exp.f64 a2)))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(fma.f64 -2 a1 a2)
(fma.f64 -2 a2 a1)
(fma.f64 a1 -2 a2)
(fma.f64 a1 a1 a2)
(fma.f64 a2 a2 a1)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(*.f64 -2 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(log.f64 (/.f64 -2 (exp.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(log1p.f64 (expm1.f64 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 a2 (cos.f64 th))))
(/.f64 a2 (cos.f64 th))
(/.f64 (*.f64 a2 (cos.f64 th)) -2)
(/.f64 (cos.f64 th) a2)
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(neg.f64 (*.f64 a2 (cos.f64 th)))
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(+.f64 0 (cos.f64 th))
(-.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(/.f64 -2 (cos.f64 th))
(/.f64 (cos.f64 th) -2)
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (cos.f64 th) (+.f64 -2 (-.f64 (cos.f64 th) (cos.f64 th))))
(/.f64 (cos.f64 th) (+.f64 (cos.f64 th) (cos.f64 th)))
(/.f64 (cos.f64 th) (+.f64 0 (+.f64 (cos.f64 th) (*.f64 0 (cos.f64 th)))))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) (log.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1/3)
(pow.f64 (exp.f64 -2) (log.f64 (cos.f64 th)))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (log.f64 (cos.f64 th)) (log.f64 (cos.f64 th)))
(+.f64 (log.f64 (cos.f64 th)) 0)
(+.f64 0 (log.f64 (cos.f64 th)))
(-.f64 (log.f64 (cos.f64 th)) 0)
(-.f64 0 (log.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cos.f64 th)))) -2)
(*.f64 -2 (log.f64 (cos.f64 th)))
(*.f64 (log.f64 (cos.f64 th)) -2)
(*.f64 (log.f64 (cos.f64 th)) (log.f64 (cos.f64 th)))
(pow.f64 (log.f64 (cos.f64 th)) -2)
(pow.f64 (log.f64 (cos.f64 th)) 1/3)
(neg.f64 (log.f64 (cos.f64 th)))
(sqrt.f64 (log.f64 (cos.f64 th)))
(fabs.f64 (log.f64 (cos.f64 th)))
(log.f64 (cos.f64 th))
(cbrt.f64 (log.f64 (cos.f64 th)))
(expm1.f64 (log1p.f64 (log.f64 (cos.f64 th))))
(exp.f64 (log.f64 (log.f64 (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cos.f64 th))) -2))
(+.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a1 (cos.f64 th)))
(+.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(+.f64 (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a1 (cos.f64 th))) (*.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))) (*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) -2)
(/.f64 -2 (/.f64 -2 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
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 (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))))
(fma.f64 -1/2 (/.f64 (pow.f64 th 2) (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 (pow.f64 th 2) (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 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a1 a1 (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (pow.f64 th 2) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (/.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)) (fma.f64 -1/2 (*.f64 (/.f64 (pow.f64 th 2) (sqrt.f64 2)) (fma.f64 a1 a1 (pow.f64 a2 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (pow.f64 th 2) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
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1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
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1/2
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1
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1
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1/16
1/8
1/4
1/2
1
3/2
2
3
4
6
8
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a1
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(/.f64 (+.f64 a1 a2) -2)
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1
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(exp.f64 (*.f64 2 (log.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))) -2)
(+.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))) 2)
(+.f64 2 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(/.f64 -2 (/.f64 -2 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(/.f64 1 (cos.f64 th))
(/.f64 (+.f64 a1 a2) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) (cos.f64 th)))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (/.f64 -1 (neg.f64 (-.f64 1 (/.f64 a1 (/.f64 (+.f64 a1 a2) a2))))) (cos.f64 th))
(/.f64 (+.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2))))
(/.f64 (/.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (/.f64 -1 (neg.f64 (-.f64 1 (/.f64 a1 (/.f64 (+.f64 a1 a2) a2))))) (cos.f64 th))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(/.f64 (+.f64 a1 a2) (/.f64 -2 (cos.f64 th)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) -2))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 a1 a2))
(cos.f64 th)
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)))
(/.f64 (+.f64 a1 a2) (/.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (cos.f64 th) (-.f64 1 (/.f64 a1 (/.f64 (+.f64 a1 a2) a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (*.f64 (-.f64 (+.f64 a1 a2) (*.f64 a1 a2)) -2))
(*.f64 (/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))) (/.f64 (cos.f64 th) -2))
(/.f64 (/.f64 (cos.f64 th) (-.f64 1 (/.f64 a1 (/.f64 (+.f64 a1 a2) a2)))) -2)
(*.f64 -1/2 (/.f64 (cos.f64 th) (-.f64 1 (/.f64 a1 (/.f64 (+.f64 a1 a2) a2)))))
(/.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) (+.f64 (*.f64 a1 (cos.f64 th)) (-.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))))
(/.f64 (+.f64 a1 a2) (/.f64 (-.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) (*.f64 a1 (*.f64 (cos.f64 th) (*.f64 (cos.f64 th) a2)))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (/.f64 (*.f64 (cos.f64 th) (-.f64 (+.f64 a1 a2) (*.f64 a2 (*.f64 (cos.f64 th) a1)))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 (cos.f64 th) (*.f64 a1 a2)))))
(/.f64 (cos.f64 th) (+.f64 a1 a2))
(/.f64 (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))) (-.f64 (*.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th))))
1
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) -2)
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) -2)
(pow.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)) 1/3)
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(neg.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(*.f64 (neg.f64 (+.f64 a1 a2)) (cos.f64 th))
(*.f64 (cos.f64 th) (-.f64 (neg.f64 a2) a1))
(sqrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(sqrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(fabs.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(fabs.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (+.f64 a1 a2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))))
(cbrt.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th)))
(cbrt.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))) -2))
(pow.f64 (*.f64 (cos.f64 th) (+.f64 a1 a2)) -2)
(log1p.f64 (expm1.f64 (*.f64 (+.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(fma.f64 (cos.f64 th) a1 (*.f64 a2 (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 a1 a2))

eval126.0ms (1.3%)

Compiler

Compiled 6866 to 3783 computations (44.9% saved)

prune125.0ms (1.3%)

Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New39619415
Fresh044
Picked055
Done011
Total39629425
Accuracy
100.0%
Counts
425 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.6%
(fma.f64 a2 a2 a1)
2.8%
(fma.f64 a2 -2 a1)
72.7%
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
63.2%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
5.5%
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
2.8%
(/.f64 (+.f64 a1 a2) -2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
7.5%
(/.f64 a2 (cos.f64 th))
2.8%
(-.f64 a1 a2)
45.2%
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
7.2%
(+.f64 a2 (-.f64 a1 a2))
5.5%
(+.f64 a2 a1)
37.2%
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
63.2%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.6%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.5%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.3%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.4%
(*.f64 (*.f64 a2 a2) (cos.f64 th))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
7.1%
(*.f64 (cos.f64 th) a2)
3.9%
a1
38.6%
(fma.f64 a2 a2 a1)
2.8%
(fma.f64 a2 -2 a1)
72.7%
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
63.2%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
5.5%
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
2.8%
(/.f64 (+.f64 a1 a2) -2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
7.5%
(/.f64 a2 (cos.f64 th))
2.8%
(-.f64 a1 a2)
45.2%
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
7.2%
(+.f64 a2 (-.f64 a1 a2))
5.5%
(+.f64 a2 a1)
37.2%
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
63.2%
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.6%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.5%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.3%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.4%
(*.f64 (*.f64 a2 a2) (cos.f64 th))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
7.1%
(*.f64 (cos.f64 th) a2)
3.9%
a1
Compiler

Compiled 1168 to 842 computations (27.9% saved)

localize207.0ms (2.2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.3%
(+.f64 1 (cos.f64 (*.f64 2 th)))
100.0%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.7%
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
Compiler

Compiled 127 to 56 computations (55.9% saved)

Precisions
Click to see histograms
Operation ival-pow, total time spent: 16.0ms
Operation ival-mult, total time spent: 22.0ms
Operation ival-fma, total time spent: 3.0ms
Operation ival-div, total time spent: 6.0ms
Operation ival-cos, total time spent: 36.0ms
Operation ival-add, total time spent: 11.0ms
Operation const, total time spent: 5.0ms

series15.0ms (0.2%)

Counts
5 → 112
Calls

30 calls:

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

rewrite182.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
746×log1p-expm1-u
686×expm1-udef
686×log1p-udef
396×associate-*r*
270×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028163
1418149
26005149
Stop Event
node limit
Counts
5 → 149
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 1 (cos.f64 (*.f64 2 th)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(-.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 (pow.f64 (cos.f64 th) 2) 1/2))
(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 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) 3)) (+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(fma.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(+.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) 1) (*.f64 (*.f64 a2 (+.f64 a1 a2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a1 a2) 2))) 1)
(/.f64 (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (*.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 3) (pow.f64 a1 3)) (+.f64 (pow.f64 a2 3) (pow.f64 a1 3))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 3) (pow.f64 a1 3)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (pow.f64 a2 3) (pow.f64 a1 3))) (*.f64 (-.f64 a1 a2) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a1 (+.f64 a1 a2)) 3) (pow.f64 (*.f64 a2 (+.f64 a1 a2)) 3)) (+.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (-.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))) (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (+.f64 (pow.f64 a2 3) (pow.f64 a1 3))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (+.f64 a1 a2) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (-.f64 a1 a2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 3) (pow.f64 a1 3)) (+.f64 a1 a2)) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 a1 a2)) (-.f64 a1 a2))
(pow.f64 (+.f64 a1 a2) 2)
(pow.f64 (pow.f64 (+.f64 a1 a2) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 a1 a2)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 a1 a2) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a1 a2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a1 a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a1 a2) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a1 a2) 2)))
(fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 (+.f64 a1 a2)))
(fma.f64 (+.f64 a1 a2) a1 (*.f64 a2 (+.f64 a1 a2)))
(-.f64 (pow.f64 (cos.f64 th) 2) (-.f64 (pow.f64 (sin.f64 th) 2) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 (*.f64 2 th)))) (/.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (-.f64 1 (cos.f64 (*.f64 2 th)))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 th) 2)) (pow.f64 (sin.f64 th) 2))
(*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 th))))
(*.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th))))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2)) (/.f64 1 (-.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th)))) (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 (*.f64 2 th))) (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (-.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2)) (-.f64 1 (cos.f64 (*.f64 2 th))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2))) (neg.f64 (-.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) 1) (-.f64 (cos.f64 (*.f64 2 th)) 1))
(pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(exp.f64 (log1p.f64 (cos.f64 (*.f64 2 th))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (*.f64 2 th))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(fma.f64 1 (cos.f64 (*.f64 2 th)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2 th))) 2) (cbrt.f64 (cos.f64 (*.f64 2 th))) 1)
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 2 th))) (sqrt.f64 (cos.f64 (*.f64 2 th))) 1)
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(+.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(+.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1) (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))) 1)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 1 (/.f64 -2 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 1 (cos.f64 (*.f64 2 th))))))
(/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) (/.f64 -2 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 1 (cos.f64 (*.f64 2 th)))) -2)
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) -2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) -2))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 2))
(/.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 -2 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 -2 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 2 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 2 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 1 (cos.f64 (*.f64 2 th))))) 2)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3) (pow.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))) (-.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) 2)
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (pow.f64 (hypot.f64 a1 a2) 2)) 2)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(fma.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(fma.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))

simplify180.0ms (1.9%)

Algorithm
egg-herbie
Rules
1276×associate-*r*
1098×associate-*l*
934×fma-neg
724×fma-def
570×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046813312
1144912522
2729812514
Stop Event
node limit
Counts
261 → 280
Calls
Call 1
Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2))))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
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(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(fma.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))
(+.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2)))
(+.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) 1) (*.f64 (*.f64 a2 (+.f64 a1 a2)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 a1 a2) 2))) 1)
(/.f64 (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (*.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 3) (pow.f64 a1 3)) (+.f64 (pow.f64 a2 3) (pow.f64 a1 3))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 3) (pow.f64 a1 3)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (*.f64 (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))) (-.f64 a1 a2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 (pow.f64 a2 3) (pow.f64 a1 3))) (*.f64 (-.f64 a1 a2) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a1 (+.f64 a1 a2)) 3) (pow.f64 (*.f64 a2 (+.f64 a1 a2)) 3)) (+.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (-.f64 (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))) (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
(/.f64 (*.f64 (+.f64 a1 a2) (+.f64 (pow.f64 a2 3) (pow.f64 a1 3))) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (+.f64 a1 a2) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (-.f64 a1 a2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 3) (pow.f64 a1 3)) (+.f64 a1 a2)) (fma.f64 a1 a1 (*.f64 a2 (-.f64 a2 a1))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 a1 a2)) (-.f64 a1 a2))
(pow.f64 (+.f64 a1 a2) 2)
(pow.f64 (pow.f64 (+.f64 a1 a2) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 a1 a2)) 2) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 a1 a2) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 a1 a2) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 a1 a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 a1 a2) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 a1 a2))))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (+.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 a1 a2) 2)))
(fma.f64 a1 (+.f64 a1 a2) (*.f64 a2 (+.f64 a1 a2)))
(fma.f64 (+.f64 a1 a2) a1 (*.f64 a2 (+.f64 a1 a2)))
(-.f64 (pow.f64 (cos.f64 th) 2) (-.f64 (pow.f64 (sin.f64 th) 2) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 (*.f64 2 th)))) (/.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (-.f64 1 (cos.f64 (*.f64 2 th)))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 th) 2)) (pow.f64 (sin.f64 th) 2))
(*.f64 1 (+.f64 1 (cos.f64 (*.f64 2 th))))
(*.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 2) (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th))))))
(*.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2)) (/.f64 1 (-.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th)))) (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (cos.f64 (*.f64 2 th))) (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th)))))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3)) (+.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (-.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2)) (-.f64 1 (cos.f64 (*.f64 2 th))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) (cos.f64 (*.f64 2 th))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cos.f64 (*.f64 2 th)) 2))) (neg.f64 (-.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 (*.f64 2 th)) 2) 1) (-.f64 (cos.f64 (*.f64 2 th)) 1))
(pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))) 2)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(exp.f64 (log1p.f64 (cos.f64 (*.f64 2 th))))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 (*.f64 2 th))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(fma.f64 1 (cos.f64 (*.f64 2 th)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 2 th))) 2) (cbrt.f64 (cos.f64 (*.f64 2 th))) 1)
(fma.f64 (sqrt.f64 (cos.f64 (*.f64 2 th))) (sqrt.f64 (cos.f64 (*.f64 2 th))) 1)
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(+.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(+.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1) (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))) 1)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th)))))
(/.f64 1 (/.f64 -2 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 1 (cos.f64 (*.f64 2 th))))))
(/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) (/.f64 -2 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 1 (cos.f64 (*.f64 2 th)))) -2)
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) -2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (/.f64 -2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) -2))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) (*.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) 2))
(/.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 -2 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 -2 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 2 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 2 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 1 (cos.f64 (*.f64 2 th))))) 2)
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3) (pow.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))) (-.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) 2)
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (pow.f64 (hypot.f64 a1 a2) 2)) 2)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(fma.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(fma.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (*.f64 (*.f64 1/24 (pow.f64 th 4)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (*.f64 (*.f64 1/24 (pow.f64 th 4)) (sqrt.f64 1/2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 1/24 (pow.f64 th 4)))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
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(pow.f64 a2 2)
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(pow.f64 a1 2)
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(pow.f64 a1 2)
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(pow.f64 a2 2)
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(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
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2
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(fma.f64 (pow.f64 th 2) -2 2)
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(*.f64 -1 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
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(*.f64 (/.f64 (-.f64 -1 (cos.f64 (*.f64 th 2))) 2) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3) (pow.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (-.f64 (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 a1 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2))))) 3) (pow.f64 (*.f64 (pow.f64 a2 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2))))) 3)) (+.f64 (*.f64 (pow.f64 a1 4) (*.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))) (*.f64 (*.f64 (pow.f64 a2 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2))))) (-.f64 (*.f64 (pow.f64 a2 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2))))) (*.f64 (pow.f64 a1 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))))))
(/.f64 (*.f64 (pow.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))) 3) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (fma.f64 (pow.f64 a1 4) (*.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) 2) 1/4) (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) 2) 1/4) (pow.f64 a2 2)) (-.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) (*.f64 (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))) (-.f64 (*.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(/.f64 (*.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1 (cos.f64 (*.f64 th 2))))) (*.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (*.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) 2) 1/4) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 -1/2 (*.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1)) 2)
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (+.f64 1 (cos.f64 (*.f64 th 2))))) 2)
(*.f64 (/.f64 (-.f64 -1 (cos.f64 (*.f64 th 2))) 2) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) -2))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) -2))
(/.f64 (*.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) -2) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))) (/.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))) (/.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) -2))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)))) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) -2))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 th 2))) -2) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(/.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))) (/.f64 (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (*.f64 (+.f64 (neg.f64 (cos.f64 (*.f64 2 th))) -1) (pow.f64 (hypot.f64 a1 a2) 2)) 2)
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (+.f64 1 (cos.f64 (*.f64 th 2))))) 2)
(*.f64 (/.f64 (-.f64 -1 (cos.f64 (*.f64 th 2))) 2) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) 3)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3) 1/3)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (hypot.f64 a1 a2)) 2)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 2))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2))))) 2))
(fabs.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2))))))
(log.f64 (pow.f64 (exp.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))) 3))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))) 1))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(fma.f64 (pow.f64 a1 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1 (cos.f64 (*.f64 th 2)))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 2)) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))
(fma.f64 (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th)))) (pow.f64 a1 2) (*.f64 (pow.f64 a2 2) (*.f64 -1/2 (+.f64 1 (cos.f64 (*.f64 2 th))))))
(*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (+.f64 1 (cos.f64 (*.f64 th 2)))))
(*.f64 (fma.f64 a1 a1 (pow.f64 a2 2)) (+.f64 -1/2 (*.f64 -1/2 (cos.f64 (*.f64 th 2)))))

eval115.0ms (1.2%)

Compiler

Compiled 6122 to 4044 computations (33.9% saved)

prune85.0ms (0.9%)

Pruning

28 alts after pruning (19 fresh and 9 done)

PrunedKeptTotal
New2728280
Fresh71118
Picked235
Done066
Total28128309
Accuracy
100.0%
Counts
309 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
45.2%
(pow.f64 a2 2)
63.2%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
5.7%
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
5.5%
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
2.8%
(/.f64 (+.f64 a1 a2) -2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
2.8%
(-.f64 a1 a2)
7.2%
(+.f64 a2 (-.f64 a1 a2))
5.5%
(+.f64 a2 a1)
37.2%
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.6%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.3%
(*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.5%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.3%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.4%
(*.f64 (*.f64 a2 a2) (cos.f64 th))
63.2%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
3.9%
a1
72.5%
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
45.2%
(pow.f64 a2 2)
63.2%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
5.7%
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
5.5%
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
2.8%
(/.f64 (+.f64 a1 a2) -2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
2.8%
(-.f64 a1 a2)
7.2%
(+.f64 a2 (-.f64 a1 a2))
5.5%
(+.f64 a2 a1)
37.2%
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.6%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.3%
(*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
99.5%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.3%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.4%
(*.f64 (*.f64 a2 a2) (cos.f64 th))
63.2%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
3.9%
a1
Compiler

Compiled 1190 to 812 computations (31.8% saved)

localize142.0ms (1.5%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.7%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
100.0%
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
99.7%
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
Compiler

Compiled 84 to 42 computations (50% saved)

Precisions
Click to see histograms
Operation ival-sub, total time spent: 2.0ms
Operation ival-sqrt, total time spent: 17.0ms
Operation ival-pow, total time spent: 8.0ms
Operation ival-mult, total time spent: 15.0ms
Operation ival-div, total time spent: 3.0ms
Operation ival-cos, total time spent: 8.0ms
Operation ival-add, total time spent: 5.0ms
Operation const, total time spent: 4.0ms

series7.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite135.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
884×log1p-expm1-u
884×expm1-log1p-u
502×expm1-udef
502×log1p-udef
294×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02293
129884
2415384
Stop Event
node limit
Counts
3 → 68
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.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 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(fma.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2)))
(+.f64 (pow.f64 a2 2) (*.f64 (*.f64 a1 (*.f64 2 a2)) 1))
(+.f64 (*.f64 a1 (*.f64 2 a2)) (pow.f64 a2 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (fma.f64 a1 2 a2)))) 1)
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 (*.f64 a1 (*.f64 2 a2)) 3)) (+.f64 (pow.f64 a2 4) (-.f64 (*.f64 (*.f64 a1 (*.f64 2 a2)) (*.f64 a1 (*.f64 2 a2))) (*.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2))))))
(/.f64 (-.f64 (pow.f64 a2 4) (*.f64 (*.f64 a1 (*.f64 2 a2)) (*.f64 a1 (*.f64 2 a2)))) (-.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2))))
(/.f64 (*.f64 a2 (+.f64 (*.f64 (pow.f64 a1 3) 8) (pow.f64 a2 3))) (fma.f64 a2 a2 (*.f64 (*.f64 a1 2) (-.f64 (*.f64 a1 2) a2))))
(/.f64 (*.f64 a2 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 4))) (+.f64 a2 (*.f64 -2 a1)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a1 3) 8) (pow.f64 a2 3)) a2) (fma.f64 a2 a2 (*.f64 (*.f64 a1 2) (-.f64 (*.f64 a1 2) a2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 4)) a2) (+.f64 a2 (*.f64 -2 a1)))
(pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a1 2 a2)) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (fma.f64 a1 2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (fma.f64 a1 2 a2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a1 2 a2) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(exp.f64 (log.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(fma.f64 a2 a2 (*.f64 a1 (*.f64 2 a2)))
(fma.f64 1 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 (*.f64 2 a2)))

simplify143.0ms (1.5%)

Algorithm
egg-herbie
Rules
1296×times-frac
1236×distribute-lft-in
724×cancel-sign-sub-inv
650×associate-*r*
640×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02446036
16815458
231045381
Stop Event
node limit
Counts
140 → 131
Calls
Call 1
Inputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2))))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 2 (*.f64 a1 a2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(pow.f64 a2 2)
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(*.f64 2 (*.f64 a1 a2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(*.f64 2 (*.f64 a1 a2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(+.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (*.f64 1/2 (sqrt.f64 1/2)) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 1/2 (sqrt.f64 1/2))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.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 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(fma.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2)))
(+.f64 (pow.f64 a2 2) (*.f64 (*.f64 a1 (*.f64 2 a2)) 1))
(+.f64 (*.f64 a1 (*.f64 2 a2)) (pow.f64 a2 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (fma.f64 a1 2 a2)))) 1)
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 (*.f64 a1 (*.f64 2 a2)) 3)) (+.f64 (pow.f64 a2 4) (-.f64 (*.f64 (*.f64 a1 (*.f64 2 a2)) (*.f64 a1 (*.f64 2 a2))) (*.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2))))))
(/.f64 (-.f64 (pow.f64 a2 4) (*.f64 (*.f64 a1 (*.f64 2 a2)) (*.f64 a1 (*.f64 2 a2)))) (-.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2))))
(/.f64 (*.f64 a2 (+.f64 (*.f64 (pow.f64 a1 3) 8) (pow.f64 a2 3))) (fma.f64 a2 a2 (*.f64 (*.f64 a1 2) (-.f64 (*.f64 a1 2) a2))))
(/.f64 (*.f64 a2 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 4))) (+.f64 a2 (*.f64 -2 a1)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a1 3) 8) (pow.f64 a2 3)) a2) (fma.f64 a2 a2 (*.f64 (*.f64 a1 2) (-.f64 (*.f64 a1 2) a2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 4)) a2) (+.f64 a2 (*.f64 -2 a1)))
(pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a1 2 a2)) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (fma.f64 a1 2 a2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (fma.f64 a1 2 a2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a1 2 a2) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(exp.f64 (log.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(fma.f64 a2 a2 (*.f64 a1 (*.f64 2 a2)))
(fma.f64 1 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 (*.f64 2 a2)))
Outputs
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2))))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 th 2)) 1) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (sqrt.f64 1/2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (sqrt.f64 1/2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (sqrt.f64 1/2))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (pow.f64 th 2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6))))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 th 2)) 1) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (pow.f64 a2 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (+.f64 (*.f64 -1/2 (pow.f64 th 2)) 1) (*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(fma.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (pow.f64 a2 2))) (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (pow.f64 a2 2))) (+.f64 (*.f64 -1/2 (pow.f64 th 2)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(fma.f64 -1/2 (*.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 th 4)) 1) (*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (pow.f64 a2 2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (pow.f64 a2 2))) (+.f64 (*.f64 -1/2 (pow.f64 th 2)) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a1 2)))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (*.f64 (pow.f64 a1 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
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(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(fma.f64 (pow.f64 a1 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2))))
(*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (fma.f64 a1 a1 (pow.f64 a2 2))))
(+.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2)))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(+.f64 (pow.f64 a2 2) (*.f64 (*.f64 a1 (*.f64 2 a2)) 1))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(+.f64 (*.f64 a1 (*.f64 2 a2)) (pow.f64 a2 2))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (fma.f64 a1 2 a2)))) 1)
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 (*.f64 a1 (*.f64 2 a2)) 3)) (+.f64 (pow.f64 a2 4) (-.f64 (*.f64 (*.f64 a1 (*.f64 2 a2)) (*.f64 a1 (*.f64 2 a2))) (*.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2))))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 (*.f64 2 (*.f64 a1 a2)) 3)) (+.f64 (pow.f64 a2 4) (*.f64 (*.f64 2 (*.f64 a1 a2)) (-.f64 (*.f64 2 (*.f64 a1 a2)) (pow.f64 a2 2)))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 (*.f64 2 (*.f64 a1 a2)) 3)) (fma.f64 (*.f64 2 (*.f64 a1 a2)) (*.f64 a2 (-.f64 (*.f64 2 a1) a2)) (pow.f64 a2 4)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 (*.f64 2 (*.f64 a1 a2)) 3)) (fma.f64 (*.f64 2 (*.f64 a1 a2)) (*.f64 a2 (fma.f64 2 a1 (neg.f64 a2))) (pow.f64 a2 4)))
(/.f64 (-.f64 (pow.f64 a2 4) (*.f64 (*.f64 a1 (*.f64 2 a2)) (*.f64 a1 (*.f64 2 a2)))) (-.f64 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (*.f64 (pow.f64 a1 2) (*.f64 (*.f64 2 a2) (*.f64 2 a2)))) (-.f64 (pow.f64 a2 2) (*.f64 2 (*.f64 a1 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (*.f64 4 (pow.f64 (*.f64 a1 a2) 2))) (*.f64 a2 (-.f64 a2 (*.f64 2 a1))))
(/.f64 (+.f64 (pow.f64 a2 4) (*.f64 (pow.f64 (*.f64 a1 a2) 2) -4)) (*.f64 a2 (fma.f64 a1 -2 a2)))
(/.f64 (*.f64 a2 (+.f64 (*.f64 (pow.f64 a1 3) 8) (pow.f64 a2 3))) (fma.f64 a2 a2 (*.f64 (*.f64 a1 2) (-.f64 (*.f64 a1 2) a2))))
(/.f64 (fma.f64 (pow.f64 a1 3) 8 (pow.f64 a2 3)) (/.f64 (fma.f64 a2 a2 (*.f64 (*.f64 2 a1) (-.f64 (*.f64 2 a1) a2))) a2))
(*.f64 (/.f64 a2 (fma.f64 a2 a2 (*.f64 2 (*.f64 a1 (fma.f64 2 a1 (neg.f64 a2)))))) (fma.f64 (pow.f64 a1 3) 8 (pow.f64 a2 3)))
(/.f64 (*.f64 a2 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 4))) (+.f64 a2 (*.f64 -2 a1)))
(/.f64 a2 (/.f64 (+.f64 a2 (*.f64 a1 -2)) (-.f64 (pow.f64 a2 2) (*.f64 4 (pow.f64 a1 2)))))
(*.f64 (/.f64 a2 (fma.f64 a1 -2 a2)) (fma.f64 a2 a2 (*.f64 (pow.f64 a1 2) -4)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 a1 3) 8) (pow.f64 a2 3)) a2) (fma.f64 a2 a2 (*.f64 (*.f64 a1 2) (-.f64 (*.f64 a1 2) a2))))
(/.f64 (fma.f64 (pow.f64 a1 3) 8 (pow.f64 a2 3)) (/.f64 (fma.f64 a2 a2 (*.f64 (*.f64 2 a1) (-.f64 (*.f64 2 a1) a2))) a2))
(*.f64 (/.f64 a2 (fma.f64 a2 a2 (*.f64 2 (*.f64 a1 (fma.f64 2 a1 (neg.f64 a2)))))) (fma.f64 (pow.f64 a1 3) 8 (pow.f64 a2 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 2) (*.f64 (pow.f64 a1 2) 4)) a2) (+.f64 a2 (*.f64 -2 a1)))
(/.f64 a2 (/.f64 (+.f64 a2 (*.f64 a1 -2)) (-.f64 (pow.f64 a2 2) (*.f64 4 (pow.f64 a1 2)))))
(*.f64 (/.f64 a2 (fma.f64 a1 -2 a2)) (fma.f64 a2 a2 (*.f64 (pow.f64 a1 2) -4)))
(pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 1)
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(pow.f64 (cbrt.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 3)
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(pow.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 3) 1/3)
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(pow.f64 (sqrt.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 2)
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(sqrt.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 2))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 a1 2 a2)) a2))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (fma.f64 a1 2 a2)))))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(cbrt.f64 (pow.f64 (*.f64 a2 (fma.f64 a1 2 a2)) 3))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (fma.f64 a1 2 a2) 3)))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 a1 2 a2) 3) (pow.f64 a2 3)))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(expm1.f64 (log1p.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(exp.f64 (log.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (fma.f64 a1 2 a2))) 1))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 a2 (fma.f64 a1 2 a2))))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(fma.f64 a2 a2 (*.f64 a1 (*.f64 2 a2)))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(fma.f64 1 (pow.f64 a2 2) (*.f64 a1 (*.f64 2 a2)))
(fma.f64 2 (*.f64 a1 a2) (pow.f64 a2 2))
(*.f64 a2 (fma.f64 2 a1 a2))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 (*.f64 2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 2 (*.f64 a1 a2)))

eval64.0ms (0.7%)

Compiler

Compiled 2695 to 1778 computations (34% saved)

prune154.0ms (1.6%)

Pruning

27 alts after pruning (17 fresh and 10 done)

PrunedKeptTotal
New1485153
Fresh21214
Picked235
Done279
Total15427181
Accuracy
100.0%
Counts
181 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.5%
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
63.2%
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
5.7%
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
2.8%
(/.f64 (+.f64 a1 a2) -2)
99.2%
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
99.1%
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
2.8%
(-.f64 a1 a2)
7.2%
(+.f64 a2 (-.f64 a1 a2))
99.3%
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
99.5%
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.6%
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
21.3%
(*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
63.2%
(*.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 a1 a1) (*.f64 a2 a2)))
99.6%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.3%
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
59.4%
(*.f64 (*.f64 a2 a2) (cos.f64 th))
63.2%
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
99.2%
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
99.6%
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
45.2%
(*.f64 a2 a2)
2.8%
(*.f64 a2 -2)
20.5%
(*.f64 2 (*.f64 a1 a2))
2.8%
(neg.f64 a2)
5.5%
a2
3.9%
a1
Compiler

Compiled 738 to 413 computations (44% saved)

regimes142.0ms (1.5%)

Counts
43 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 2 (*.f64 a1 a2))
(+.f64 a2 (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
(*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
(pow.f64 a2 2)
(*.f64 (cos.f64 th) a2)
(/.f64 a2 (cos.f64 th))
(fma.f64 a2 -2 a1)
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 a2 2)))
(*.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 1/4 1/4) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (expm1.f64 (log1p.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)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

8 calls:

20.0ms
a2
20.0ms
th
20.0ms
a1
17.0ms
(cos.f64 th)
16.0ms
(/.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 453 to 217 computations (52.1% saved)

regimes131.0ms (1.4%)

Counts
30 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 2 (*.f64 a1 a2))
(+.f64 a2 (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
(*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
(pow.f64 a2 2)
(*.f64 (cos.f64 th) a2)
(/.f64 a2 (cos.f64 th))
(fma.f64 a2 -2 a1)
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 1/4 1/4) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 (cos.f64 th)) -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (+.f64 1 (cos.f64 (*.f64 2 th))) -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Calls

6 calls:

54.0ms
th
21.0ms
a1
17.0ms
a2
12.0ms
(cos.f64 th)
12.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
99.5%1a1
99.5%1a2
99.5%1th
99.5%1(cos.f64 th)
99.5%1(*.f64 a1 a1)
99.5%1(*.f64 a2 a2)
Compiler

Compiled 255 to 109 computations (57.3% saved)

regimes270.0ms (2.8%)

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

6 calls:

88.0ms
(cos.f64 th)
65.0ms
a1
33.0ms
th
30.0ms
a2
25.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
68.1%4a1
74.6%2a2
76.8%2th
77.2%2(cos.f64 th)
68.1%4(*.f64 a1 a1)
74.6%2(*.f64 a2 a2)
Compiler

Compiled 242 to 105 computations (56.6% saved)

regimes66.0ms (0.7%)

Counts
23 → 1
Calls
Call 1
Inputs
a1
a2
(neg.f64 a2)
(*.f64 a2 -2)
(*.f64 a2 a2)
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 2 (*.f64 a1 a2))
(+.f64 a2 (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
(*.f64 a2 (+.f64 a2 (*.f64 2 a1)))
(*.f64 (+.f64 a1 a2) (+.f64 a1 a2))
(+.f64 a1 (*.f64 (+.f64 (+.f64 a2 1) 1) a2))
(*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (*.f64 (+.f64 a1 a2) a2) (*.f64 (+.f64 a1 a2) a1))
(/.f64 (-.f64 (*.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a1 (+.f64 a1 a2))) (*.f64 (*.f64 a2 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2)))) (-.f64 (*.f64 a1 (+.f64 a1 a2)) (*.f64 a2 (+.f64 a1 a2))))
(pow.f64 a2 2)
(*.f64 (cos.f64 th) a2)
(/.f64 a2 (cos.f64 th))
(fma.f64 a2 -2 a1)
(fma.f64 a2 a2 a1)
(*.f64 (*.f64 a2 a2) (cos.f64 th))
Outputs
(*.f64 (*.f64 a2 a2) (cos.f64 th))
Calls

6 calls:

12.0ms
a1
12.0ms
a2
12.0ms
th
11.0ms
(cos.f64 th)
9.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
59.4%1a1
59.4%1(*.f64 a1 a1)
59.4%1a2
59.4%1(*.f64 a2 a2)
59.4%1th
59.4%1(cos.f64 th)
Compiler

Compiled 174 to 76 computations (56.3% saved)

regimes150.0ms (1.6%)

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

6 calls:

68.0ms
(cos.f64 th)
40.0ms
th
11.0ms
a1
11.0ms
a2
8.0ms
(*.f64 a2 a2)
Results
AccuracySegmentsBranch
45.2%1(*.f64 a1 a1)
49.7%3th
58.8%2(cos.f64 th)
45.2%1a1
45.2%1a2
45.2%1(*.f64 a2 a2)
Compiler

Compiled 168 to 75 computations (55.4% saved)

regimes11.0ms (0.1%)

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

1 calls:

8.0ms
th
Results
AccuracySegmentsBranch
45.2%1th
Compiler

Compiled 67 to 33 computations (50.7% saved)

regimes13.0ms (0.1%)

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

3 calls:

4.0ms
a1
4.0ms
th
4.0ms
a2
Results
AccuracySegmentsBranch
5.5%1a2
5.5%1a1
5.5%1th
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

3.0ms
a1
3.0ms
th
3.0ms
a2
Results
AccuracySegmentsBranch
3.9%1th
3.9%1a1
3.9%1a2
Compiler

Compiled 16 to 12 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.6980390319590084
0.7091497534230922
Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch50.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
-0.04183676726957033
0.007258692669849972
Results
44.0ms228×body256valid
2.0ms12×body256infinite
Compiler

Compiled 357 to 260 computations (27.2% saved)

Precisions
Click to see histograms
Operation ival-sqrt, total time spent: 7.0ms
Operation ival-mult, total time spent: 8.0ms
Operation ival-div, total time spent: 4.0ms
Operation ival-add, total time spent: 1.0ms
Operation const, total time spent: 1.0ms

simplify11.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037302
145302
251302
364302
473302
579302
681302
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
a1
Outputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) 3152519739159347/4503599627370496) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(*.f64 (*.f64 a2 a2) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a2 a2))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (*.f64 (/.f64 2 -2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a2 a2))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (neg.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a2 a2))
(if (<=.f64 (cos.f64 th) -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (-.f64 (*.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)) (*.f64 a2 a2))
(*.f64 a2 a2)
a2
a1
Compiler

Compiled 98 to 63 computations (35.7% saved)

soundness2.0s (20.7%)

Rules
3576×fma-def
1826×prod-diff
1826×prod-diff
1276×associate-*r*
1216×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048606
1145562
2418562
31078562
42438562
54177562
65513562
76050562
86122562
96133562
106139562
117356562
036352
1583352
041317617
198617235
2305916331
036352
1583352
041317617
198617235
2305916331
036352
1583352
01865
123160
2320660
036352
1583352
041317617
198617235
2305916331
02676602
17586521
231656174
01865
123160
2320660
046813312
1144912522
2729812514
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 428 to 228 computations (46.7% saved)

end0.0ms (0%)

preprocess159.0ms (1.7%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 1094 to 702 computations (35.8% saved)

Profiling

Loading profile data...