Details

Time bar (total: 15.8s)

analyze348.0ms (2.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
25%25%74.9%0.1%0%0%0%7
25%25%74.9%0.1%0%0%0%8
25%25%74.9%0.1%0%0%0%9
28.1%25%64%0.1%10.9%0%0%10
36.4%31.2%54.6%0.1%14%0%0%11
46.9%39%44.1%0.1%16.8%0%0%12
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample4.1s (26.2%)

Results
1.1s1566×body1024infinite
1.1s5444×body256valid
886.0ms1891×body1024valid
417.0ms915×body512valid
290.0ms743×body512infinite
278.0ms1503×body256infinite
4.0ms6×body2048valid
Bogosity

preprocess17.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
180×fma-def
140×*-commutative
114×associate-/l*
48×associate-*r*
48×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027156
172140
2146140
3208140
4286140
5334140
6382140
7395140
8401140
033
133
Stop Event
1×unsound
1×saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
0
2
Call 2
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (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 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (*.f64 th th) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (fma.f64 th th (*.f64 a2 a2)))
(*.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 th th)))
(*.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 th th (*.f64 a1 a1)))
(*.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (*.f64 a1 a1)) (sqrt.f64 2)))
Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
60×fma-def
50×*-commutative
40×associate-/l*
18×associate-/r/
16×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
25635
37935
410635
512435
614235
714735
814935
Stop Event
1×saturated
Counts
1 → 4
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Outputs
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))

eval1.0ms (0%)

Compiler

Compiled 59 to 29 computations (50.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New224
Fresh101
Picked000
Done000
Total325
Error
0.7b
Counts
5 → 2
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.8b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶0.7b
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
Compiler

Compiled 31 to 21 computations (32.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(cos.f64 th)
✓0.0b
(fma.f64 a1 a1 (*.f64 a2 a2))
✓0.2b
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
✓0.6b
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Compiler

Compiled 41 to 16 computations (61% saved)

series10.0ms (0.1%)

Counts
4 → 88
Calls

24 calls:

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

rewrite90.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1078×associate-*r/
856×associate-*l/
790×associate-/r*
596×associate-/l*
430×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01480
128074
2339974
Stop Event
1×node limit
Counts
4 → 224
Calls
Call 1
Inputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(cos.f64 th)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a1 a1) 1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a1 a1) 1) (pow.f64 2 -1/2)) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (cos.f64 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) 1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 a1 a1) 1)) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a1 a1) 1) 1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a1 a1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 a1 a1) 1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule 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(-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a1 a2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 th)))))))

simplify187.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1220×associate-*r*
1202×times-frac
1138×associate-*l*
646×associate-/r*
620×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055011384
1135310814
Stop Event
1×node limit
Counts
312 → 335
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
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1
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(/.f64 (*.f64 -1 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))) (pow.f64 2 1/4))
(/.f64 (*.f64 1 (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (hypot.f64 a1 a2) (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))) (pow.f64 2 1/4))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 1 (hypot.f64 a1 a2))) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 a2))) (/.f64 (pow.f64 2 1/4) (hypot.f64 a1 a2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (hypot.f64 a1 a2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (hypot.f64 a1 a2)))
(/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (cos.f64 th))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (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 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(+.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) 1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(+.f64 (*.f64 (*.f64 a1 a1) 1) (*.f64 a2 a2))
(+.f64 (*.f64 1 (*.f64 (*.f64 a1 a1) 1)) (*.f64 a2 a2))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) 1) 1) (*.f64 a2 a2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))
(-.f64 (+.f64 (*.f64 a1 a1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 a1 a1) 1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (hypot.f64 a1 a2) (neg.f64 (neg.f64 (hypot.f64 a1 a2))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 -1 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (neg.f64 (hypot.f64 a1 a2)) (neg.f64 (hypot.f64 a1 a2)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))) (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (neg.f64 (neg.f64 (hypot.f64 a1 a2))) (hypot.f64 a1 a2))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (hypot.f64 a1 a2) (/.f64 1 (hypot.f64 a1 a2)))
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3))) (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(neg.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(log1p.f64 (expm1.f64 (cos.f64 th)))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
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1
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 a2 a2) (*.f64 (*.f64 a1 a1) 1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 (*.f64 a1 a1) 1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 1 (*.f64 (*.f64 a1 a1) 1)) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (*.f64 (*.f64 (*.f64 a1 a1) 1) 1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))
(fma.f64 a1 a1 (expm1.f64 (log1p.f64 (*.f64 a2 a2))))
(-.f64 (+.f64 (*.f64 a1 a1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))
(fma.f64 a1 a1 (expm1.f64 (log1p.f64 (*.f64 a2 a2))))
(-.f64 (+.f64 (*.f64 (*.f64 a1 a1) 1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))
(fma.f64 a1 a1 (expm1.f64 (log1p.f64 (*.f64 a2 a2))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (hypot.f64 a1 a2) (neg.f64 (neg.f64 (hypot.f64 a1 a2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 -1 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (neg.f64 (hypot.f64 a1 a2)) (neg.f64 (hypot.f64 a1 a2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))) (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (neg.f64 (neg.f64 (hypot.f64 a1 a2))) (hypot.f64 a1 a2))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(/.f64 (hypot.f64 a1 a2) (/.f64 1 (hypot.f64 a1 a2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (-.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (pow.f64 a2 4)) (*.f64 a1 (*.f64 a1 (*.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 a2 (*.f64 a2 (*.f64 a1 a1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (*.f64 1 (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (-.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (pow.f64 a2 4)) (*.f64 a1 (*.f64 a1 (*.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 a2 (*.f64 a2 (*.f64 a1 a1))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3))) (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (-.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (pow.f64 a2 4)) (*.f64 a1 (*.f64 a1 (*.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 a2 (*.f64 a2 (*.f64 a1 a1))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 a1 a1) (*.f64 a1 a1)) (pow.f64 a2 4)) (*.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (+.f64 (pow.f64 (*.f64 a2 a2) 3) (pow.f64 (*.f64 a1 a1) 3)) (-.f64 (fma.f64 (*.f64 a1 a1) (*.f64 a1 a1) (pow.f64 a2 4)) (*.f64 a1 (*.f64 a1 (*.f64 a2 a2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 a2 (*.f64 a2 (*.f64 a1 a1))))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(pow.f64 (hypot.f64 a1 a2) 2)
(neg.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(pow.f64 (hypot.f64 a1 a2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(pow.f64 (hypot.f64 a1 a2) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(cos.f64 th)
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))
(pow.f64 (cos.f64 th) 1)
(cos.f64 th)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(cos.f64 th)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(cos.f64 th)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(cos.f64 th)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cos.f64 th)
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(cos.f64 th)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
0.0b
(cos.f64 th)
✓0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓0.8b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts
3 → 64
Calls

18 calls:

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

rewrite104.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1226×associate-/r*
844×associate-/l*
836×distribute-rgt-in
794×distribute-lft-in
310×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01465
129961
2407161
Stop Event
1×node limit
Counts
3 → 265
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)))
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
Outputs
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a1 4) (pow.f64 (*.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a1 a2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 a1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 a2 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)) (*.f64 a2 a2))))))

simplify159.0ms (1%)

Algorithm
1×egg-herbie
Rules
1204×associate-/r*
1106×associate-*r*
1030×associate-/l/
878×associate-*l*
738×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071917331
1200417125
Stop Event
1×node limit
Counts
329 → 440
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(-.f64 (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 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (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) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.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) (sqrt.f64 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(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 (/.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 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)) (*.f64 a2 a2))
Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (*.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 1/24 (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 1/24 (fma.f64 a2 a2 (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a1 8) (pow.f64 a2 8)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 12) (-.f64 (pow.f64 a2 12) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))) (-.f64 (+.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a1 8) (+.f64 (pow.f64 a2 8) (*.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (+.f64 a2 a1) (neg.f64 (-.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))) (sqrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(pow.f64 (hypot.f64 a1 a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(pow.f64 (hypot.f64 a1 a2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (exp.f64 2) (log.f64 (hypot.f64 a1 a2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(pow.f64 (exp.f64 2) (log.f64 (hypot.f64 a1 a2)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)) (*.f64 a2 a2))

eval429.0ms (2.7%)

Compiler

Compiled 17693 to 10427 computations (41.1% saved)

prune274.0ms (1.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New78619805
Fresh000
Picked101
Done101
Total78819807
Error
0b
Counts
807 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
0.7b
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
26.1b
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
0.7b
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
37.0b
(/.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
▶0.7b
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
▶0.4b
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
▶29.6b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
26.8b
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
31.3b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
26.7b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
29.6b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
▶26.2b
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
0.6b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
1.1b
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
0.7b
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
▶26.7b
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
29.6b
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
26.4b
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
0.7b
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
Compiler

Compiled 594 to 424 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.1b
(*.f64 (hypot.f64 a1 a2) (cos.f64 th))
✓0.2b
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
✓0.5b
(/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))
Compiler

Compiled 39 to 16 computations (59% saved)

series23.0ms (0.1%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
6.0ms
a2
@0
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
3.0ms
a1
@0
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
3.0ms
a1
@inf
(/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))
1.0ms
a2
@inf
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
1.0ms
a1
@0
(/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))

rewrite136.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1010×unswap-sqr
966×swap-sqr
842×associate-/r/
626×associate-/l/
402×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01373
127173
2360867
Stop Event
1×node limit
Counts
3 → 187
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(*.f64 (hypot.f64 a1 a2) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 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(hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) (pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (hypot.f64 a1 a2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (hypot.f64 a1 a2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))))))

simplify159.0ms (1%)

Algorithm
1×egg-herbie
Rules
1182×associate-*r*
1180×associate-/l*
1144×*-commutative
996×associate-*l*
794×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078916407
1236816179
Stop Event
1×node limit
Counts
283 → 426
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (pow.f64 a2 2))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7)))))) (/.f64 (sqrt.f64 2) a2))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (pow.f64 a1 7))))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2)) (pow.f64 a1 7))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4)))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 7))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a1 2)))) (pow.f64 a2 6))) (+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4))))))
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)))) (pow.f64 a2 7))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)))) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))
(+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))) (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))) (pow.f64 a2 7))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 6)) (pow.f64 a2 7))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 4)) (pow.f64 a2 5))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a2)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 12) (*.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (*.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (*.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (*.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th))) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (*.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (*.f64 (pow.f64 a1 8) (cos.f64 th))) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2)))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (pow.f64 a2 4)) (*.f64 1/4 (pow.f64 a2 4))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 2))) (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 a2 6)) (*.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th)) (*.f64 (sqrt.f64 2) (pow.f64 a1 4))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) (sqrt.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))) (*.f64 (sqrt.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (hypot.f64 a1 a2)) (pow.f64 2 1/4)) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))) (*.f64 (/.f64 (sqrt.f64 (hypot.f64 a1 a2)) (pow.f64 2 1/4)) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))
(pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (cos.f64 th)) -1)
(neg.f64 (*.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (cos.f64 th)) (neg.f64 (hypot.f64 a1 a2))))
(neg.f64 (*.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (hypot.f64 a1 a2) (neg.f64 (sqrt.f64 2)))))
(neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (cos.f64 th)) (neg.f64 (hypot.f64 a1 a2))) 1))
(neg.f64 (*.f64 1 (*.f64 (*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (cos.f64 th)) (neg.f64 (hypot.f64 a1 a2)))))
(neg.f64 (/.f64 (hypot.f64 a1 a2) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))
(neg.f64 (/.f64 (*.f64 (hypot.f64 a1 a2) (neg.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) (pow.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 1)
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3) 1/3)
(neg.f64 (*.f64 (hypot.f64 a1 a2) (neg.f64 (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (hypot.f64 a1 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (hypot.f64 a1 a2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
Outputs
(/.f64 (sqrt.f64 2) a2)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (/.f64 (sqrt.f64 2) a2))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (/.f64 (sqrt.f64 2) a2))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 3)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) a2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (fma.f64 -1 (*.f64 (pow.f64 a1 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)) -3/8)) (/.f64 (sqrt.f64 2) a2)))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 3)) (*.f64 a1 a1)) (fma.f64 -1 (*.f64 (pow.f64 a1 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5))) (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 2)) (pow.f64 a2 3))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 4) (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 a1 6) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 5))) (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)))) (pow.f64 a2 2))) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7)))))) (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a2 3) (*.f64 a1 a1))) (fma.f64 -1 (*.f64 (pow.f64 a1 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)) -3/8)) (fma.f64 -1 (*.f64 (pow.f64 a1 6) (fma.f64 -1/2 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 5)) -3/8) (*.f64 a2 a2)) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7))))) (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/2 (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a2 3)) (*.f64 a1 a1)) (fma.f64 -1 (*.f64 (pow.f64 a1 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5))) (fma.f64 -1 (*.f64 (pow.f64 a1 6) (fma.f64 -1/2 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a2 5)) (*.f64 a2 a2)) (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a2 7))))) (/.f64 (sqrt.f64 2) a2))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8) (pow.f64 a1 5)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3)) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (/.f64 (pow.f64 a1 5) -3/8)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a1 5))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (pow.f64 a1 7))))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (fma.f64 -1 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8) (pow.f64 a1 5)) (neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 a2 a2) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8)) (*.f64 1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)))) (pow.f64 a1 7))))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3)) (*.f64 -1 (+.f64 (/.f64 (fma.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (*.f64 -3/8 (*.f64 a2 a2))) (*.f64 (sqrt.f64 2) (*.f64 1/8 (pow.f64 a2 6)))) (pow.f64 a1 7)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (/.f64 (pow.f64 a1 5) -3/8))))))
(*.f64 -1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (neg.f64 (sqrt.f64 2)) a1)
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) 1/2))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (/.f64 (*.f64 (*.f64 1/2 (*.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 a1 3)))
(+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8)))
(fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (/.f64 (pow.f64 a1 5) -3/8))))
(+.f64 (*.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 2) (pow.f64 a2 4))) (*.f64 -1/8 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)))) (pow.f64 a2 2)) (pow.f64 a1 7))) (+.f64 (*.f64 -1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (+.f64 (*.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))) (*.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5))))))))
(fma.f64 1/8 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 6)) (pow.f64 a1 7)) (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) -3/8) (/.f64 (pow.f64 a1 7) (*.f64 a2 a2))) (fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (pow.f64 a1 5)) -3/8)))))
(fma.f64 1/8 (/.f64 (pow.f64 a2 6) (/.f64 (pow.f64 a1 7) (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 a2 4) -3/8)) (pow.f64 a1 7)) (*.f64 a2 a2)) (fma.f64 -1 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3)) (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 4)) (/.f64 (pow.f64 a1 5) -3/8))))))
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (sqrt.f64 2) (/.f64 (pow.f64 a1 3) (*.f64 a2 a2))) (neg.f64 (*.f64 (pow.f64 a2 4) (*.f64 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)) -3/8)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 a2 a2)) (pow.f64 a1 3)) (neg.f64 (*.f64 (pow.f64 a2 4) (/.f64 (*.f64 (sqrt.f64 2) -3/8) (pow.f64 a1 5))))))
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 7))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a1 2)))) (pow.f64 a2 6))) (+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 2)) (pow.f64 a1 3))) (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (sqrt.f64 2) (pow.f64 a1 5))) (*.f64 -1/8 (/.f64 (sqrt.f64 2) (pow.f64 a1 5)))) (pow.f64 a2 4))))))
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(*.f64 (cos.f64 th) (hypot.f64 a1 a2))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (hypot.f64 a1 a2))
(exp.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (hypot.f64 a1 a2))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))) 1))
(*.f64 (cos.f64 th) (hypot.f64 a1 a2))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th))))
(*.f64 (cos.f64 th) (hypot.f64 a1 a2))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓0.6b
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓1.0b
(/.f64 1 (sqrt.f64 2))
Compiler

Compiled 38 to 19 computations (50% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite104.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1542×associate-*r/
1280×associate-*l/
598×distribute-lft-in
556×associate-/r*
412×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01336
127328
2353228
Stop Event
1×node limit
Counts
2 → 208
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 2 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (sqrt.f64 2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) (cbrt.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (/.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (sqrt.f64 2) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (hypot.f64 a1 a2)) (/.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) (sqrt.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (/.f64 (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2))) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) (-.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 a1 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 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(pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))

simplify137.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1536×associate-/l*
950×times-frac
760×associate-/r*
686×associate-*l*
670×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053110846
1143010500
2794610500
Stop Event
1×node limit
Counts
232 → 297
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1/2))) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) 1)
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 -1 (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 -1 (sqrt.f64 2)) -1)
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(pow.f64 (/.f64 1/2 (sqrt.f64 2)) 1/3)
(sqrt.f64 1/2)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))))
(cbrt.f64 (/.f64 1/2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 2)) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1/2)) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
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(/.f64 (*.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) 1) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))) 1) (-.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)) 1) (+.f64 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(/.f64 (*.f64 (*.f64 -1 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) 1) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (*.f64 -1 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) 1) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) -1) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)) (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) -1) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))) 1)
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) 1) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) -1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) 1) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) 1) (pow.f64 2 1/4))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) -1) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
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(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 1/2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 1/2))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) 1) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (sqrt.f64 1/2) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) 1) (pow.f64 2 1/4))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 (cbrt.f64 2)) (pow.f64 2 1/4))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 (cbrt.f64 2)) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (*.f64 (cbrt.f64 2) (cbrt.f64 (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (pow.f64 2 1/4))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 2)))
(/.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) -1) (sqrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(/.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))
(sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))
(*.f64 (/.f64 (sqrt.f64 1/2) 1) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.1b
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
✓0.5b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite82.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1226×associate-*r/
1100×associate-/r*
1014×*-commutative
892×associate-/l*
862×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
122444
2284844
Stop Event
1×node limit
Counts
2 → 190
Calls
Call 1
Inputs
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
Outputs
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neg.f64 (*.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify104.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1496×associate-/l*
910×associate-/l/
620×times-frac
582×distribute-rgt-in
576×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04897734
113157494
262117494
Stop Event
1×node limit
Counts
226 → 265
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
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(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(neg.f64 (*.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)) (cos.f64 th)))
(neg.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 th a2) (*.f64 th a2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (/.f64 -1/2 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 th a2) (*.f64 th a2))))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a2 a2)) (sqrt.f64 2)))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 a2 (/.f64 a2 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (*.f64 -1/720 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 6))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2))
(*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))
(*.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4)))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 a2 1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) a2)))
(*.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) a2)))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 a2 (neg.f64 a2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) (*.f64 a2 a2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) a2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)))
(/.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)))
(/.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 a2))) (sqrt.f64 a2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2))) (cbrt.f64 a2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
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(*.f64 (/.f64 (*.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 (cbrt.f64 a2) 2)) (sqrt.f64 2)) (cbrt.f64 a2))
(*.f64 (cbrt.f64 a2) (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2))))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) 1)) (/.f64 (pow.f64 2 1/4) a2))
(/.f64 (*.f64 a2 a2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a2))) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a2)))
(/.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (/.f64 (pow.f64 2 1/4) (sqrt.f64 a2)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a2))))
(*.f64 (sqrt.f64 a2) (/.f64 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 a2))) (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4))))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (cbrt.f64 2) 1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (cbrt.f64 2) (sqrt.f64 a2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))
(*.f64 (/.f64 (*.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) (cos.f64 th))) (sqrt.f64 a2)) (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 a2))
(*.f64 (sqrt.f64 a2) (/.f64 (*.f64 (sqrt.f64 a2) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 a2)))
(*.f64 (/.f64 (*.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) (cos.f64 th))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 a2))
(/.f64 (*.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))) (cbrt.f64 a2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))
(*.f64 (/.f64 (/.f64 a2 (/.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (cos.f64 th))) (pow.f64 2 1/4)) (cbrt.f64 a2))
(*.f64 (cbrt.f64 a2) (/.f64 (*.f64 a2 (cos.f64 th)) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) 1) (neg.f64 (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 a2 a2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) -1) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 a2 a2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))
(/.f64 (*.f64 a2 a2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (pow.f64 2 1/4) a2))) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 1/4))) (/.f64 (*.f64 a2 (/.f64 a2 (pow.f64 2 1/4))) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 a2 a2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2) (cos.f64 th))
(/.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (pow.f64 2 1/4) a2))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 2))))
(*.f64 (/.f64 a2 (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (*.f64 a2 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (sqrt.f64 (cbrt.f64 2))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) 1) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (cbrt.f64 2))) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (pow.f64 2 1/4))) (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a2 a2))
(/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 (/.f64 (cos.f64 th) (cbrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (cbrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))
(*.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))))
(pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(neg.f64 (*.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)) (cos.f64 th)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(neg.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.1b
(*.f64 (cos.f64 th) (*.f64 a1 a1))
✓0.3b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 28 to 12 computations (57.1% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite66.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1490×associate-/r*
1376×associate-/l*
1064×*-commutative
892×associate-*r/
618×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01144
122444
2287544
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (/.f64 -1 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a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))

simplify79.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1274×unswap-sqr
1092×*-commutative
984×associate-/r*
786×times-frac
644×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02344318
16584250
224604210
Stop Event
1×node limit
Counts
134 → 142
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 a1 2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2))
(*.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)))
(*.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))
(*.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a1 (/.f64 1 (sqrt.f64 (cos.f64 th)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) 1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 a1)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1))))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (cos.f64 th) 1))
(*.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)) (/.f64 (cos.f64 th) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1))) (/.f64 1 (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)))
(*.f64 (/.f64 a1 (/.f64 1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (cbrt.f64 2)))
(*.f64 (/.f64 a1 (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) a1)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))))
(*.f64 (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) a1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (/.f64 1 a1)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (sqrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)) a1)
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 (neg.f64 a1) a1))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th))) a1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1))))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)
(pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)
(neg.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a1 a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 th th)) a1)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 th th)) a1)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 th th)) a1)) (fma.f64 -1/720 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 th 6)) a1)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (pow.f64 a1 2))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 -1/2 (*.f64 a1 (*.f64 a1 (*.f64 th th)))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a1 a1))) (*.f64 a1 a1)))
(fma.f64 -1/2 (*.f64 a1 (*.f64 a1 (*.f64 th th))) (fma.f64 a1 a1 (*.f64 (pow.f64 th 4) (*.f64 (*.f64 1/24 a1) a1))))
(+.f64 (*.f64 a1 a1) (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (*.f64 th th)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 a1 2) (pow.f64 th 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 a1 2) (pow.f64 th 6))) (+.f64 (pow.f64 a1 2) (*.f64 1/24 (*.f64 (pow.f64 a1 2) (pow.f64 th 4))))))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a1 a1)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a1 a1))) (*.f64 a1 a1))))
(fma.f64 -1/2 (*.f64 a1 (*.f64 a1 (*.f64 th th))) (fma.f64 -1/720 (*.f64 (*.f64 (pow.f64 th 6) a1) a1) (fma.f64 a1 a1 (*.f64 (pow.f64 th 4) (*.f64 (*.f64 1/24 a1) a1)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (*.f64 (*.f64 a1 a1) (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 1 a1)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 a1 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) 2)
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) 2)
(*.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1))))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1))))
(*.f64 a1 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2)))))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1))))
(/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1))))
(*.f64 a1 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (sqrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (sqrt.f64 (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 (neg.f64 a1) a1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))
(*.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2)) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4)) (/.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th))) a1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3) 1/3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th)) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(neg.f64 (/.f64 (cos.f64 th) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a1 4))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4) 2))
(log.f64 (exp.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(neg.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)))
(sqrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 4))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (*.f64 a1 a1))
(*.f64 a1 (*.f64 a1 (cos.f64 th)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.2b
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))
✓0.6b
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
Compiler

Compiled 41 to 13 computations (68.3% saved)

series6.0ms (0%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
th
@-inf
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
1.0ms
th
@inf
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
0.0ms
a2
@inf
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
0.0ms
a2
@0
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
0.0ms
a2
@-inf
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))

rewrite70.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1226×associate-/r*
1126×associate-/l*
1030×associate-*r/
894×associate-*l/
432×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01460
128056
2345656
Stop Event
1×node limit
Counts
2 → 79
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2) 2)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) 1)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 1 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 1 (*.f64 (*.f64 a1 a1) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3))) (-.f64 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3)) (cos.f64 th)) (-.f64 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))))))

simplify83.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1604×unswap-sqr
764×associate-/r*
588×associate-/l/
578×distribute-rgt-in
578×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02656319
17375847
230095619
Stop Event
1×node limit
Counts
151 → 168
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (*.f64 1/24 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (*.f64 -1/720 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) (pow.f64 2 -1/2))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 1 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2) 2)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (sqrt.f64 2)) (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (cbrt.f64 2)) (/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (sqrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) 1)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 1 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 1 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (*.f64 1 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 1 (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1)
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3))) (-.f64 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3)) (cos.f64 th)) (-.f64 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 1)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (cbrt.f64 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2) (sqrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (hypot.f64 a2 a1))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a2 a1))))
(/.f64 (pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 2))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2)) (sqrt.f64 2)) (cos.f64 th)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (*.f64 (cos.f64 th) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (sqrt.f64 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) -1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2) 2))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4)) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) 1)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 1 (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 1 (*.f64 (cos.f64 th) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 1 (*.f64 (*.f64 a2 a2) (cos.f64 th))) (*.f64 1 (*.f64 (*.f64 a1 a1) (cos.f64 th))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a1 a1 (*.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (pow.f64 a1 4))))
(*.f64 (/.f64 (cos.f64 th) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3))) (-.f64 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3))) (-.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 a2 (*.f64 a1 (*.f64 a1 a2)))))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (*.f64 a2 (*.f64 a2 (*.f64 a2 a2))) (pow.f64 a1 4))))
(*.f64 (/.f64 (cos.f64 th) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3)) (cos.f64 th)) (-.f64 (+.f64 (*.f64 (*.f64 a2 a2) (*.f64 a2 a2)) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 (*.f64 a1 a1) 3) (pow.f64 (*.f64 a2 a2) 3))) (-.f64 (fma.f64 (*.f64 a2 a2) (*.f64 a2 a2) (pow.f64 a1 4)) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 a2 (*.f64 a1 (*.f64 a1 a2)))))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(*.f64 (/.f64 (cos.f64 th) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (*.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3) 1/3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(fabs.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)) 3))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))) 1))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))

eval597.0ms (3.8%)

Compiler

Compiled 33402 to 19860 computations (40.5% saved)

prune520.0ms (3.3%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New1490291519
Fresh10414
Picked101
Done314
Total1504341538
Error
0b
Counts
1538 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
26.7b
(/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (sqrt.f64 2))
31.3b
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
▶26.1b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
43.6b
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
0.7b
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
26.6b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
✓29.6b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
26.4b
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
26.7b
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
40.8b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
29.6b
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
40.4b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
26.3b
(/.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
26.8b
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
26.4b
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
40.5b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
40.5b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶0.6b
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
31.3b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
29.6b
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
29.8b
(*.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))) (/.f64 1 (pow.f64 2 1/4)))
▶29.6b
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
29.6b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))
29.6b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
29.6b
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
40.8b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
40.5b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
44.3b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
29.6b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
26.1b
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
0.7b
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
26.4b
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
▶26.4b
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
▶40.5b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
Compiler

Compiled 896 to 665 computations (25.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.0b
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓0.2b
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
✓0.5b
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
Compiler

Compiled 50 to 17 computations (66% saved)

series42.0ms (0.3%)

Counts
3 → 96
Calls

24 calls:

TimeVariablePointExpression
37.0ms
th
@-inf
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
1.0ms
th
@inf
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
1.0ms
th
@0
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
0.0ms
a2
@0
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
0.0ms
a1
@0
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))

rewrite125.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
910×associate-*r/
864×distribute-rgt-in
818×distribute-lft-in
702×associate-*l/
328×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01577
132069
2411669
Stop Event
1×node limit
Counts
3 → 236
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
Outputs
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(*.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a1 4))) (/.f64 1 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (/.f64 1 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a1 6))) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (+.f64 a2 a1)) (-.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a2 a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 a2 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 a1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))))))

simplify301.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1264×associate-/l*
1044×associate-*r*
902×associate-*l*
730×+-commutative
566×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060815584
1164315132
2730715132
Stop Event
1×node limit
Counts
332 → 350
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (*.f64 1/24 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2))) (+.f64 (*.f64 1/24 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))) (*.f64 -1/720 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))))))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 a2 2))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (+.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a1 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) 1) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) 1) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (hypot.f64 a2 a1)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (hypot.f64 a2 a1)) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a1 4))) (/.f64 1 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (/.f64 1 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a1 6))) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (+.f64 a2 a1)) (-.f64 a2 a1))
(/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))
Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(+.f64 (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(fma.f64 1/24 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 6))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (fma.f64 a2 a2 (*.f64 a1 a1)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
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(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))) (sqrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))) (cbrt.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (+.f64 a2 a1)) (-.f64 a2 a1))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(pow.f64 (hypot.f64 a2 a1) 2)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(pow.f64 (hypot.f64 a2 a1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))) 1))
(pow.f64 (hypot.f64 a2 a1) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓0.5b
(/.f64 a1 (sqrt.f64 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1604×add-sqr-sqrt
1584×*-un-lft-identity
1478×add-cube-cbrt
1458×add-cbrt-cube
158×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116428
2200928
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))))

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1190×associate-*r/
900×unswap-sqr
880×associate-/l*
712×associate-+r-
670×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01281080
12961068
212461068
370981068
Stop Event
1×node limit
Counts
66 → 69
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (/.f64 a1 (sqrt.f64 2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(sqrt.f64 (/.f64 a1 (/.f64 2 a1)))
(sqrt.f64 (*.f64 a1 (/.f64 a1 2)))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 a1 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(/.f64 a1 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))
(/.f64 a1 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(/.f64 a1 (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) a1)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (*.f64 a1 (/.f64 a1 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓0.6b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 31 to 12 computations (61.3% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite103.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1010×associate-*r/
990×*-commutative
778×associate-/r*
752×associate-*l/
616×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01125
123323
2305323
Stop Event
1×node limit
Counts
1 → 51
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))))

simplify107.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1186×associate-*r/
872×associate-/l*
778×associate-+r-
756×associate-+l-
752×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01472637
14012549
215362479
369662479
Stop Event
1×node limit
Counts
75 → 78
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))
(+.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 -1 (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (hypot.f64 a2 a1))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (hypot.f64 a2 a1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 -1 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (hypot.f64 a2 a1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (/.f64 (hypot.f64 a2 a1) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (+.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 (*.f64 a1 a2) 2) (pow.f64 a2 4))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (sqrt.f64 2) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(*.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)) (/.f64 (+.f64 (pow.f64 (*.f64 a1 a2) 2) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (-.f64 (pow.f64 a2 8) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))
(*.f64 1 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (sqrt.f64 2)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) 3)) (sqrt.f64 2))) (+.f64 (pow.f64 a2 8) (-.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 2) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) 3)))) (+.f64 (pow.f64 a2 8) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) (-.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) (pow.f64 a2 4)))))
(*.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (*.f64 (sqrt.f64 2) (+.f64 (pow.f64 (*.f64 a2 a2) 6) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) 3)))) (fma.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (pow.f64 a2 8)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 4) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.2b
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
✓0.3b
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
✓0.4b
(/.f64 (sqrt.f64 2) a1)
Compiler

Compiled 30 to 19 computations (36.7% saved)

series9.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
5.0ms
th
@-inf
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
1.0ms
th
@inf
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
0.0ms
th
@0
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
0.0ms
a1
@0
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
0.0ms
a1
@0
(/.f64 (sqrt.f64 2) a1)

rewrite157.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
1804×associate-*l/
1782×associate-/l*
744×associate-/r/
332×distribute-lft-neg-in
326×associate-/l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
123159
2306659
Stop Event
1×node limit
Counts
3 → 228
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 2) a1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) 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simplify138.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1136×associate-/l*
798×times-frac
754×associate-*r*
754×associate-/r/
744×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05527972
115937782
273027782
Stop Event
1×node limit
Counts
276 → 312
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
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(/.f64 (cbrt.f64 a1) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))) (cbrt.f64 a1)))
(/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) (/.f64 (/.f64 1 a1) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 2) (/.f64 (/.f64 1 a1) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) a1))
(/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (cos.f64 th)))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (/.f64 1 a1) (neg.f64 (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (neg.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1)) a1))
(/.f64 (neg.f64 (cos.f64 th)) (*.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) (neg.f64 a1))))
(/.f64 (neg.f64 a1) (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))))
(/.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (/.f64 (/.f64 (sqrt.f64 2) a1) (sqrt.f64 (*.f64 a1 (cos.f64 th)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (cbrt.f64 (*.f64 a1 (cos.f64 th)))) (/.f64 (/.f64 (sqrt.f64 2) a1) (cbrt.f64 (*.f64 a1 (cos.f64 th)))))
(/.f64 (*.f64 (cos.f64 th) (sqrt.f64 a1)) (/.f64 (/.f64 (sqrt.f64 2) a1) (sqrt.f64 a1)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (/.f64 (sqrt.f64 2) a1) (cbrt.f64 a1)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (sqrt.f64 a1)) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (sqrt.f64 a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (/.f64 1 a1) (cbrt.f64 a1)))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) a1) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (cos.f64 th)) a1)))
(/.f64 (*.f64 a1 (neg.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(/.f64 (/.f64 a1 (/.f64 1 (cos.f64 th))) (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 a1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (/.f64 a1 (/.f64 1 (cos.f64 th)))))
(/.f64 (/.f64 (sqrt.f64 a1) (pow.f64 2 1/4)) (/.f64 (/.f64 1 a1) (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (/.f64 (/.f64 1 a1) (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (*.f64 (/.f64 1 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (*.f64 (/.f64 1 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (/.f64 (/.f64 1 a1) (neg.f64 a1)))
(/.f64 -1 (*.f64 (/.f64 1 a1) (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 a1)) (/.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 a1))))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) a1)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (/.f64 1 a1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) a1)))
(/.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (/.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 1 a1))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (/.f64 1 a1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)) a1)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (/.f64 1 a1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (/.f64 (/.f64 1 a1) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 (neg.f64 a1) (cos.f64 th)) (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) a1) (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (cos.f64 th)) a1)))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) a1) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (*.f64 a1 (neg.f64 (cos.f64 th))) 1) (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(/.f64 (*.f64 (/.f64 a1 (/.f64 1 (cos.f64 th))) 1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))) 1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) 1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (*.f64 (neg.f64 a1) (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) (neg.f64 a1)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 a1 (cos.f64 th))) (sqrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 1 (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a1))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (*.f64 a1 a1)) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 1 (/.f64 a1 (/.f64 1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (/.f64 1 a1))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 a1 (/.f64 1 a1))) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 a1 (/.f64 1 a1))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a1 (/.f64 1 a1))) (pow.f64 2 1/4))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (/.f64 1 a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (/.f64 2 (*.f64 a1 a1))))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 1)
(pow.f64 (sqrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 2)
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 3)
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
Outputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 a1 (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 (pow.f64 th 6)) (sqrt.f64 2))))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 th th))) (+.f64 (fma.f64 1/24 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 a1 (sqrt.f64 2))) (*.f64 -1/720 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 6))))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 th th)) (fma.f64 1/24 (/.f64 a1 (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (fma.f64 -1/720 (*.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (sqrt.f64 2)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 (*.f64 a1 th) (*.f64 a1 th)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 th 4)) a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
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(/.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))) (/.f64 (sqrt.f64 (neg.f64 (/.f64 (sqrt.f64 2) a1))) (sqrt.f64 (neg.f64 (cos.f64 th)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))) 2)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 a1 (cos.f64 th))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) (pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))) 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (*.f64 a1 a1)) (pow.f64 2 1/4))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 1/2))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a1 a1))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 1 (/.f64 a1 (/.f64 1 a1))) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (/.f64 1 a1))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 a1 (/.f64 1 a1))) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (/.f64 a1 (/.f64 1 a1))) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a1 (/.f64 1 a1))) (pow.f64 2 1/4))
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 1/2))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (/.f64 1 a1))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1)))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 a1 a1))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (/.f64 2 (*.f64 a1 a1))))
(/.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 a1 (cbrt.f64 (/.f64 (/.f64 2 a1) a1))))
(/.f64 (*.f64 (*.f64 a1 (cos.f64 th)) (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(pow.f64 (sqrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 2)
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 3)
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(pow.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3) 1/3)
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(sqrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 2))
(sqrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))
(fabs.f64 (*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))))
(log.f64 (pow.f64 (exp.f64 a1) (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))) 3))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) 3)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 a1 3)))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))) 1))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))
(log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))))))
(*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.1b
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
✓0.2b
(*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))
✓0.4b
(*.f64 a2 (pow.f64 2 -1/2))
Compiler

Compiled 34 to 24 computations (29.4% saved)

series4.0ms (0%)

Counts
3 → 48
Calls

12 calls:

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

rewrite74.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1078×*-commutative
958×sqrt-prod
908×unswap-sqr
666×swap-sqr
420×sqr-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01261
124555
2286855
Stop Event
1×node limit
Counts
3 → 51
Calls
Call 1
Inputs
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 a2 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (*.f64 1/2 (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))))))

simplify78.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1254×associate-/r/
936×*-commutative
848×fma-def
804×distribute-lft-in
780×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01662467
14492403
218422337
367562337
Stop Event
1×node limit
Counts
99 → 81
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (*.f64 -1/720 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 6)))) (*.f64 1/24 (*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2)))) 1))))
(pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 1)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3) 1/3)
(sqrt.f64 (*.f64 1/2 (*.f64 a2 a2)))
(fabs.f64 (*.f64 a2 (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 1/2))))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 1/2))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))) 1))))
(pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 a2 4)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3) 1/3)
(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
(fabs.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 a2 (sqrt.f64 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))) 1))))
(pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (*.f64 1/2 (pow.f64 a2 4))))
(fabs.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))
Outputs
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) a2)
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
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(pow.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))) 3)
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(pow.f64 (pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 3) 1/3)
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (*.f64 1/2 (pow.f64 a2 4))))
(sqrt.f64 (*.f64 (*.f64 1/2 (pow.f64 a2 4)) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (*.f64 1/2 (*.f64 (pow.f64 a2 4) (pow.f64 (cos.f64 th) 2))))
(fabs.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2)))))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))))))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th))) 3))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) 3)))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (*.f64 a2 (sqrt.f64 1/2)) (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))

eval544.0ms (3.4%)

Compiler

Compiled 22391 to 13501 computations (39.7% saved)

prune316.0ms (2%)

Pruning

36 alts after pruning (32 fresh and 4 done)

PrunedKeptTotal
New1079161095
Fresh121628
Picked101
Done145
Total1093361129
Error
0b
Counts
1129 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
29.8b
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (/.f64 a1 (/.f64 1 (cos.f64 th)))))
✓26.1b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
43.6b
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
29.6b
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
0.7b
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
26.6b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
✓29.6b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
▶26.7b
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
40.8b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
40.4b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
26.3b
(/.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
40.5b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
40.5b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
40.5b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓0.6b
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
▶43.7b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
▶40.5b
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
29.6b
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
40.5b
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
40.8b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
▶40.5b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
44.3b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
44.0b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
29.6b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
26.1b
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
26.6b
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
29.6b
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
26.6b
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
▶0.7b
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
26.4b
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
✓40.5b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
40.4b
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
40.5b
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
54.7b
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
54.7b
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
40.5b
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
Compiler

Compiled 855 to 657 computations (23.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
0.0b
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓0.2b
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
0.6b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 47 to 17 computations (63.8% saved)

series1.0ms (0%)

Counts
1 → 36
Calls

9 calls:

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

rewrite135.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1846×associate-*r/
1474×associate-*l/
994×associate-/r*
302×add-sqr-sqrt
294×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01435
129333
2383433
Stop Event
1×node limit
Counts
1 → 159
Calls
Call 1
Inputs
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (hypot.f64 a2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (/.f64 (sqrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 2 -1/2))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (pow.f64 2 -1/2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) -1) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1)) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (neg.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) (sqrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 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(log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify167.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1486×associate-/l*
974×distribute-lft-in
966×distribute-rgt-in
854×times-frac
668×associate-/l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04679871
112189527
259639527
Stop Event
1×node limit
Counts
195 → 235
Calls
Call 1
Inputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (hypot.f64 a2 a1)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 (sqrt.f64 2) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (/.f64 (sqrt.f64 2) 1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 2 -1/2))) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (pow.f64 2 -1/2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) -1) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1)) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1)) (*.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (*.f64 1 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
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(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
Outputs
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))))) (fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4))))) (fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (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 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
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(/.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) -1) (sqrt.f64 2))
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(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) 1) (neg.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) -1) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (cos.f64 th)) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) 1) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) 1) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 (cbrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (sqrt.f64 (cbrt.f64 2))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) 1) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))) (*.f64 (cbrt.f64 (pow.f64 2 1/4)) (cbrt.f64 (pow.f64 2 1/4))))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 2 1/4))) (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))))
(/.f64 (/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))) (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (cbrt.f64 (cbrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1) (neg.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) -1) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (pow.f64 2 1/2)))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2)))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2)
(pow.f64 (*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 2))
(fabs.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓0.4b
(/.f64 a2 (sqrt.f64 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
1604×add-sqr-sqrt
1584×*-un-lft-identity
1478×add-cube-cbrt
1458×add-cbrt-cube
158×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
116428
2200928
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a2 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))))

simplify61.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1190×associate-*r/
900×unswap-sqr
880×associate-/l*
712×associate-+r-
670×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01281080
12961068
212461068
370981068
Stop Event
1×node limit
Counts
66 → 69
Calls
Call 1
Inputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a2 a2) 2))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2)))) 1)
(/.f64 a2 (sqrt.f64 2))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(/.f64 a2 (sqrt.f64 2))
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 a2 (/.f64 2 a2))))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (*.f64 a2 (/.f64 a2 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (/.f64 a2 (/.f64 2 a2))))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (*.f64 a2 (/.f64 a2 2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a2) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 2)) a2) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a2 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (/.f64 a2 (sqrt.f64 2)))) (cbrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(/.f64 a2 (sqrt.f64 2))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a2 a2) 2))
(sqrt.f64 (/.f64 a2 (/.f64 2 a2)))
(sqrt.f64 (*.f64 a2 (/.f64 a2 2)))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 a2 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(/.f64 a2 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))) 1))
(/.f64 a2 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(/.f64 a2 (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) a2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(/.f64 (*.f64 a2 (/.f64 a2 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
1.0b
(/.f64 1 (sqrt.f64 2))
Compiler

Compiled 23 to 17 computations (26.1% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
1668×add-sqr-sqrt
1646×*-un-lft-identity
1532×add-cube-cbrt
1512×add-cbrt-cube
180×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
119817
2230217
Stop Event
1×node limit
Counts
1 → 23
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 a1 a1)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))

simplify46.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1066×log-prod
754×associate-+r+
748×associate-+l+
722×associate-*r*
686×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068637
1155629
2600629
33134629
Stop Event
1×node limit
Counts
35 → 34
Calls
Call 1
Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1))))
(/.f64 (*.f64 (*.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1))))
(*.f64 (cbrt.f64 (*.f64 a1 a1)) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (cbrt.f64 (*.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 a1 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 (cbrt.f64 2) a1)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3)
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) 1/3)
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (*.f64 a1 a1)) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (log.f64 (pow.f64 (exp.f64 a1) a1)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.4b
(/.f64 (sqrt.f64 2) a1)
✓2.4b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
✓6.0b
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1))
Compiler

Compiled 55 to 35 computations (36.4% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite82.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
1148×associate-/r/
810×associate-/l/
666×distribute-rgt-in
622×distribute-lft-in
316×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01576
131768
2416868
Stop Event
1×node limit
Counts
2 → 126
Calls
Call 1
Inputs
(/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 -1/2 (*.f64 th th)) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (*.f64 th th)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))))) 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(fma.f64 -1/2 (*.f64 th th) 1) a1)) (neg.f64 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))))))

simplify134.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1160×distribute-lft-neg-out
710×distribute-lft-neg-in
668×associate-/l*
602×distribute-rgt-neg-in
554×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03718460
111847392
254417370
Stop Event
1×node limit
Counts
174 → 191
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th))))
(+.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (*.f64 -1/2 (*.f64 th th)) (/.f64 a1 (sqrt.f64 2))))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th))) (/.f64 a1 (sqrt.f64 2)))
(+.f64 (*.f64 (*.f64 -1/2 (*.f64 th th)) (/.f64 a1 (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))))) 1)
(*.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))))
(*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)))
(*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) a1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(*.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th))) (*.f64 -1 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1) a1)
(*.f64 (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1))
(*.f64 (*.f64 1 (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 (sqrt.f64 2))) (neg.f64 a1))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 a1)))
(*.f64 (*.f64 -1 (/.f64 a1 (sqrt.f64 2))) (-.f64 -1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 1) (*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 2)) a1))
(*.f64 (*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 2)) a1) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 2)) (*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 1) a1))
(*.f64 (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 2)) a1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (/.f64 1 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) -1) (neg.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))
(*.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2))) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) 1)) a1)
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (sqrt.f64 a1))) (sqrt.f64 a1))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2))) (cbrt.f64 a1))
(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (neg.f64 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1) a1)
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) 1) (/.f64 a1 1))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 a1))) (sqrt.f64 a1))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 a1) 2))) (cbrt.f64 a1))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) -1) (neg.f64 a1))
(*.f64 (/.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th))) -1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th))) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 a1))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (/.f64 a1 (sqrt.f64 2))) (-.f64 1 (*.f64 (pow.f64 th 4) 1/4))) (fma.f64 -1/2 (*.f64 th th) 1))
(*.f64 (/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (/.f64 a1 (sqrt.f64 2))) (-.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))) (+.f64 1 (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 (pow.f64 th 4) 1/4))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (/.f64 a1 (sqrt.f64 2))) (-.f64 1 (*.f64 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))) (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))) (+.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (/.f64 a1 (sqrt.f64 2))) (+.f64 1 (pow.f64 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))) 3))) (+.f64 1 (+.f64 (-.f64 (*.f64 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))) (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))) (*.f64 (pow.f64 th 4) 1/4)) (*.f64 -1/2 (*.f64 th th)))))
(*.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) 1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) (pow.f64 2 1/4)) (sqrt.f64 a1))
(*.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 a1)))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) 1) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 a1))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 a1)))
(pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (/.f64 a1 (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))))) 1)
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))) (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)))))
(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)))))
(/.f64 1 (*.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) a1)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)))
(/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) (/.f64 1 a1))
(/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (/.f64 1 a1) (/.f64 (/.f64 (sqrt.f64 2) a1) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 2) (*.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) a1))))
(/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (*.f64 (/.f64 1 a1) (/.f64 1 a1)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (*.f64 (/.f64 1 a1) (*.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 1 (*.f64 1/2 (*.f64 th th))))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (*.f64 (/.f64 1 a1) (*.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))))
(/.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th))) (*.f64 (/.f64 1 a1) (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 a1 (-.f64 -1 (*.f64 -1/2 (*.f64 th th)))) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) a1) (*.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) a1) (*.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 1 a1) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (/.f64 a1 (sqrt.f64 2))) (*.f64 (/.f64 1 a1) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))
(/.f64 (*.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th))) a1) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) (*.f64 (/.f64 1 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (*.f64 (/.f64 1 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 -1 (*.f64 (/.f64 1 a1) (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))))))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 th 4) 1/4) 1) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (-.f64 (*.f64 -1/2 (*.f64 th th)) 1)))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) 1) (*.f64 (/.f64 1 a1) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) 1) (*.f64 (/.f64 1 a1) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))) (/.f64 (sqrt.f64 2) a1))))
(/.f64 (neg.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 (/.f64 1 a1) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (exp.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
Outputs
(/.f64 a1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))
(/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2)))
(/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (*.f64 th th)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 a1 (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 a1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 a1 (*.f64 th th)) (sqrt.f64 2)) (/.f64 a1 (sqrt.f64 2)))
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(*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 1 a1)) (/.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 (/.f64 a1 (sqrt.f64 2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (/.f64 1 a1)) (cbrt.f64 (/.f64 (/.f64 2 a1) a1))))
(*.f64 (/.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (cbrt.f64 (/.f64 2 (*.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) a1)
(/.f64 -1 (*.f64 (/.f64 1 a1) (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (neg.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))))))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 th th) 1/2)))))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 a1 a1) (fma.f64 -1/2 (*.f64 th th) -1))))
(/.f64 (neg.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (neg.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))))
(/.f64 (/.f64 (+.f64 -1 (neg.f64 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (+.f64 -1 (neg.f64 (fma.f64 (pow.f64 th 4) 1/4 (*.f64 (*.f64 th th) 1/2)))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (*.f64 (pow.f64 th 6) 1/8)) (sqrt.f64 2)) (*.f64 a1 a1)) (-.f64 -1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 (*.f64 th th) 1/2))))
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 th 6) -1/8 1) (sqrt.f64 2)) a1) (neg.f64 a1)) (+.f64 (fma.f64 -1/2 (*.f64 th th) -1) (*.f64 (pow.f64 th 4) -1/4)))
(/.f64 (-.f64 (*.f64 (pow.f64 th 4) 1/4) 1) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (-.f64 (*.f64 -1/2 (*.f64 th th)) 1)))
(/.f64 (neg.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4)))) (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (+.f64 -1 (neg.f64 (*.f64 (*.f64 th th) 1/2)))))
(/.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (/.f64 (sqrt.f64 2) (/.f64 (*.f64 a1 a1) (fma.f64 -1/2 (*.f64 th th) -1))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) 1) (*.f64 (/.f64 1 a1) (*.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1))))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (+.f64 1 (*.f64 (*.f64 th th) 1/2)) (-.f64 1 (*.f64 1/4 (pow.f64 th 4)))))
(*.f64 (/.f64 (*.f64 (fma.f64 1/4 (pow.f64 th 4) -1) (neg.f64 a1)) (*.f64 (sqrt.f64 2) (fma.f64 (*.f64 th th) 1/2 1))) a1)
(*.f64 (/.f64 (*.f64 (neg.f64 a1) (fma.f64 1/4 (pow.f64 th 4) -1)) (*.f64 (sqrt.f64 2) (fma.f64 (*.f64 th th) 1/2 1))) a1)
(/.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) 1) (*.f64 (/.f64 1 a1) (*.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))) (/.f64 (sqrt.f64 2) a1))))
(/.f64 1 (/.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (+.f64 1 (fma.f64 (pow.f64 th 4) 1/4 (*.f64 (*.f64 th th) 1/2)))) (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))))
(/.f64 (*.f64 (*.f64 (/.f64 (fma.f64 (pow.f64 th 6) -1/8 1) (sqrt.f64 2)) a1) a1) (+.f64 1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 (*.f64 th th) 1/2))))
(/.f64 (neg.f64 (-.f64 -1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 (/.f64 1 a1) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(/.f64 (neg.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1)) (neg.f64 (/.f64 (sqrt.f64 2) a1)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 1)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 2)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 3)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 2))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1))) 2))
(fabs.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1))))
(log.f64 (exp.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2))) 3))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 a1 3)))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))) 1))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) a1) (/.f64 a1 (sqrt.f64 2)))))
(/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (fma.f64 -1/2 (*.f64 th th) 1)))

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.3b
(/.f64 (sqrt.f64 2) (cos.f64 th))
✓0.4b
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Compiler

Compiled 27 to 15 computations (44.4% saved)

series3.0ms (0%)

Counts
2 → 28
Calls

9 calls:

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

rewrite99.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1522×associate-*l/
1110×*-commutative
746×unswap-sqr
682×swap-sqr
594×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
123042
2311242
Stop Event
1×node limit
Counts
2 → 174
Calls
Call 1
Inputs
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) 1) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 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2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 1 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))))

simplify169.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1032×distribute-rgt-in
1016×distribute-lft-in
634×*-commutative
622×associate-*r*
620×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04337050
112456572
250126544
Stop Event
1×node limit
Counts
202 → 250
Calls
Call 1
Inputs
(/.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 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (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))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/720 (sqrt.f64 2)) (+.f64 (*.f64 1/2 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2)))) (*.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) (pow.f64 th 2))) (*.f64 -1 (*.f64 (+.f64 (*.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) 1)
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)
(*.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (cbrt.f64 (cos.f64 th)) (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) 1))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))))
(*.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (sqrt.f64 (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2)
(*.f64 (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (pow.f64 a2 4)))
(*.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 a2 a2) 1) (cos.f64 th)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 (/.f64 a2 1) (cos.f64 th)) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) a2)
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) (/.f64 a2 1))
(*.f64 (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a2 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))
(*.f64 (*.f64 (/.f64 (*.f64 a2 a2) 1) (cos.f64 th)) (/.f64 1 (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))
(*.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 (/.f64 a2 1) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 1) (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 a2 1) (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 a2 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 a2 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 1 (cos.f64 th))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (*.f64 a2 a2) -1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (*.f64 a2 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (neg.f64 a2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 a2) (cos.f64 th)))) (sqrt.f64 a2))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (cos.f64 th)))) (cbrt.f64 a2))
(*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) 1)) (cos.f64 th))
(*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) (sqrt.f64 a2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))) (cbrt.f64 a2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1) (cos.f64 th))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1) (/.f64 (cos.f64 th) 1))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) -1) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (*.f64 a2 (neg.f64 a2)) -1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 (neg.f64 a2)) (sqrt.f64 2)) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (sqrt.f64 2) 1)) (cos.f64 th))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) 1) -1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) 1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (cos.f64 th))))
(*.f64 (*.f64 a2 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4))) (*.f64 a2 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4))))
(*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (pow.f64 2 1/4))) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (pow.f64 2 1/4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2))))) (*.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) a2) (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) a2))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (*.f64 a2 a2) (cos.f64 th))) -1)
(neg.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th))))
(neg.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2)))))
(neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th))) 1))
(neg.f64 (*.f64 1 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th)))))
(neg.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 (cos.f64 th))))))
(neg.f64 (/.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(*.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 (cos.f64 th)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))))
(*.f64 (*.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))) (pow.f64 2 1/4))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))) (cbrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 1 (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(*.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 -1 (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (pow.f64 2 1/4))
(*.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) 1))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cbrt.f64 2) 1))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 1 (cos.f64 th)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) 1))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Outputs
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 -1 (cos.f64 th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 (cos.f64 th)))
(/.f64 (pow.f64 2 1/2) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (pow.f64 2 1/4))
(*.f64 (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 (cos.f64 th)))
(/.f64 (pow.f64 2 1/2) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 2 1/4) (cos.f64 th)) (/.f64 (pow.f64 2 1/4) 1))
(*.f64 (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 (cos.f64 th)))
(/.f64 (pow.f64 2 1/2) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (pow.f64 2 1/2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(/.f64 (/.f64 (pow.f64 2 1/2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (pow.f64 2 1/2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(/.f64 (/.f64 (pow.f64 2 1/2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)) (/.f64 (cbrt.f64 2) 1))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 (cos.f64 th)))
(/.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (pow.f64 2 1/4))
(*.f64 (*.f64 (pow.f64 2 1/4) (pow.f64 2 1/4)) (/.f64 1 (cos.f64 th)))
(/.f64 (pow.f64 2 1/2) (cos.f64 th))
(*.f64 (/.f64 1 (/.f64 (cos.f64 th) (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 1 (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (cos.f64 th)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))) 1))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 (cos.f64 th) 3) (sqrt.f64 2))))
(cbrt.f64 (*.f64 (/.f64 2 (pow.f64 (cos.f64 th) 3)) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))

eval596.0ms (3.8%)

Compiler

Compiled 21385 to 13695 computations (36% saved)

prune472.0ms (3%)

Pruning

38 alts after pruning (30 fresh and 8 done)

PrunedKeptTotal
New1110101120
Fresh72027
Picked011
Done178
Total1118381156
Error
0b
Counts
1156 → 38
Alt Table
Click to see full alt table
StatusErrorProgram
40.7b
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
29.8b
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (/.f64 a1 (/.f64 1 (cos.f64 th)))))
✓26.1b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
29.6b
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
0.7b
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
✓29.6b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
44.3b
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
✓26.7b
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
42.6b
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
40.8b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
40.4b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
57.5b
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
40.5b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
40.9b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
40.5b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓0.6b
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
57.5b
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
26.3b
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
✓40.5b
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
29.6b
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
40.5b
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
40.8b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
✓40.5b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
44.3b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
44.0b
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
29.6b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
40.5b
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
40.4b
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
26.1b
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
26.6b
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
29.6b
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
✓0.7b
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
29.6b
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
26.4b
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
✓40.5b
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
40.5b
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
54.7b
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
54.7b
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
Compiler

Compiled 483 to 369 computations (23.6% saved)

regimes287.0ms (1.8%)

Counts
77 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.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) (/.f64 (sqrt.f64 2) a1)) a1)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (/.f64 a1 (/.f64 1 (cos.f64 th)))))
(/.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 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 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (pow.f64 2 1/4) (/.f64 (pow.f64 2 1/4) (cos.f64 th))))
Outputs
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
Calls

8 calls:

45.0ms
(cos.f64 th)
38.0ms
a2
37.0ms
th
35.0ms
a1
32.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
0.4b1a1
0.4b1a2
0.4b1th
0.4b1(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
0.4b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.4b1(cos.f64 th)
0.4b1(*.f64 a1 a1)
0.4b1(*.f64 a2 a2)
Compiler

Compiled 897 to 480 computations (46.5% saved)

regimes223.0ms (1.4%)

Counts
74 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.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) (/.f64 (sqrt.f64 2) a1)) a1)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (/.f64 1 a1) (/.f64 a1 (/.f64 1 (cos.f64 th)))))
(/.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))) (/.f64 1 (pow.f64 2 1/4)))
(*.f64 (*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (*.f64 a1 (*.f64 a1 (*.f64 a1 a1))) (pow.f64 a2 4)) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
Outputs
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
Calls

7 calls:

36.0ms
a1
33.0ms
a2
32.0ms
th
29.0ms
(*.f64 a2 a2)
27.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
0.6b1a1
0.6b1a2
0.6b1th
0.6b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.6b1(cos.f64 th)
0.6b1(*.f64 a1 a1)
0.6b1(*.f64 a2 a2)
Compiler

Compiled 827 to 440 computations (46.8% saved)

regimes197.0ms (1.3%)

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

7 calls:

38.0ms
th
31.0ms
a1
29.0ms
a2
24.0ms
(cos.f64 th)
24.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
0.6b1a1
0.6b1a2
0.6b1th
0.6b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.6b1(cos.f64 th)
0.6b1(*.f64 a1 a1)
0.6b1(*.f64 a2 a2)
Compiler

Compiled 678 to 366 computations (46% saved)

regimes182.0ms (1.2%)

Counts
63 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.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) (/.f64 (sqrt.f64 2) a1)) a1)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
Outputs
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
Calls

7 calls:

28.0ms
a1
28.0ms
th
27.0ms
a2
25.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
21.0ms
(cos.f64 th)
Results
ErrorSegmentsBranch
0.7b1a1
0.7b1a2
0.7b1th
0.7b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.7b1(cos.f64 th)
0.7b1(*.f64 a1 a1)
0.7b1(*.f64 a2 a2)
Compiler

Compiled 664 to 361 computations (45.6% saved)

regimes645.0ms (4.1%)

Counts
60 → 2
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.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) (/.f64 (sqrt.f64 2) a1)) a1)
(*.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))
(/.f64 (*.f64 (cos.f64 th) (/.f64 a1 (/.f64 1 a1))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
Outputs
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
Calls

7 calls:

161.0ms
th
116.0ms
a2
116.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
73.0ms
(cos.f64 th)
71.0ms
a1
Results
ErrorSegmentsBranch
7.1b2a1
6.3b2a2
9.6b6th
12.0b4(/.f64 (cos.f64 th) (sqrt.f64 2))
12.0b4(cos.f64 th)
13.4b5(*.f64 a1 a1)
11.1b2(*.f64 a2 a2)
Compiler

Compiled 625 to 349 computations (44.2% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
13.0ms
3.2419469399869728e-136
4.755365512065293e-136
Results
6.0ms13×body1024valid
5.0ms31×body256valid
1.0ms4×body512valid
Compiler

Compiled 106 to 80 computations (24.5% saved)

regimes452.0ms (2.9%)

Counts
41 → 2
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))
Outputs
(*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
Calls

6 calls:

141.0ms
th
94.0ms
(*.f64 a1 a1)
72.0ms
(cos.f64 th)
59.0ms
a1
53.0ms
a2
Results
ErrorSegmentsBranch
7.1b2a1
6.4b2a2
9.7b6th
12.0b4(cos.f64 th)
13.5b5(*.f64 a1 a1)
11.1b2(*.f64 a2 a2)
Compiler

Compiled 436 to 251 computations (42.4% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
3.2419469399869728e-136
4.755365512065293e-136
Results
9.0ms16×body1024valid
4.0ms27×body256valid
1.0ms5×body512valid
Compiler

Compiled 106 to 80 computations (24.5% saved)

regimes345.0ms (2.2%)

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

6 calls:

114.0ms
th
85.0ms
(*.f64 a1 a1)
46.0ms
a2
37.0ms
a1
27.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
7.2b2a1
6.4b2a2
9.7b6th
13.0b2(cos.f64 th)
13.5b5(*.f64 a1 a1)
10.1b3(*.f64 a2 a2)
Compiler

Compiled 409 to 238 computations (41.8% saved)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
15.0ms
3.2419469399869728e-136
4.755365512065293e-136
Results
8.0ms15×body1024valid
4.0ms25×body256valid
2.0ms8×body512valid
Compiler

Compiled 106 to 80 computations (24.5% saved)

regimes280.0ms (1.8%)

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

6 calls:

90.0ms
th
55.0ms
a2
42.0ms
(*.f64 a1 a1)
32.0ms
a1
27.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
7.2b2a1
6.4b2a2
9.7b6th
13.0b2(cos.f64 th)
13.5b5(*.f64 a1 a1)
10.1b3(*.f64 a2 a2)
Compiler

Compiled 382 to 225 computations (41.1% saved)

bsearch13.0ms (0.1%)

Algorithm
1×binary-search
Steps
TimeLeftRight
12.0ms
3.2419469399869728e-136
4.755365512065293e-136
Results
5.0ms11×body1024valid
5.0ms32×body256valid
1.0ms5×body512valid
Compiler

Compiled 106 to 80 computations (24.5% saved)

regimes173.0ms (1.1%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
Outputs
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
Calls

6 calls:

48.0ms
th
32.0ms
a2
29.0ms
a1
23.0ms
(cos.f64 th)
17.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
14.5b2a1
14.9b2a2
13.0b3th
13.0b2(cos.f64 th)
18.4b2(*.f64 a1 a1)
16.7b2(*.f64 a2 a2)
Compiler

Compiled 355 to 210 computations (40.8% saved)

bsearch57.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
29.0ms
61.44995528960524
105387454327847.22
27.0ms
-1.2066686090543812e-7
-4.037596447366236e-14
Results
52.0ms304×body256valid
Compiler

Compiled 541 to 400 computations (26.1% saved)

regimes72.0ms (0.5%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1))
(*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2)
(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 1 (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 a1 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 (*.f64 th th))) (sqrt.f64 2)) a1)
(/.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 a1))) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))))
(/.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (*.f64 -1/2 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 th th))) (sqrt.f64 2))
Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
Calls

5 calls:

14.0ms
a2
14.0ms
th
14.0ms
a1
12.0ms
(*.f64 a2 a2)
9.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
26.1b1a1
26.1b1a2
26.1b1th
26.1b1(*.f64 a1 a1)
26.1b1(*.f64 a2 a2)
Compiler

Compiled 341 to 200 computations (41.3% saved)

regimes113.0ms (0.7%)

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

5 calls:

39.0ms
th
24.0ms
a2
17.0ms
a1
14.0ms
(*.f64 a1 a1)
14.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
29.1b2a1
29.6b2a2
37.1b4th
32.3b2(*.f64 a1 a1)
32.1b2(*.f64 a2 a2)
Compiler

Compiled 158 to 107 computations (32.3% saved)

bsearch29.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
29.0ms
-1.5933944882955291e-134
-2.572944259048215e-136
Results
13.0ms74×body256valid
11.0ms26×body1024valid
3.0ms12×body512valid
Compiler

Compiled 175 to 139 computations (20.6% saved)

regimes67.0ms (0.4%)

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

5 calls:

23.0ms
th
14.0ms
a2
10.0ms
a1
9.0ms
(*.f64 a2 a2)
9.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
29.1b2a1
29.6b2a2
37.1b4th
32.3b2(*.f64 a1 a1)
32.1b2(*.f64 a2 a2)
Compiler

Compiled 76 to 52 computations (31.6% saved)

bsearch30.0ms (0.2%)

Algorithm
1×binary-search
Steps
TimeLeftRight
30.0ms
-1.5933944882955291e-134
-2.572944259048215e-136
Results
12.0ms28×body1024valid
12.0ms71×body256valid
4.0ms13×body512valid
Compiler

Compiled 168 to 132 computations (21.4% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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

4 calls:

4.0ms
a2
3.0ms
th
3.0ms
a1
2.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
40.4b1a1
40.4b1a2
40.4b1th
40.4b1(*.f64 a1 a1)
Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
42×*-commutative
2×+-commutative
2×if-if-or-not
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071644
197644
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 a2 621944215500267/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))
(if (<=.f64 a2 6023038718528901/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 6023038718528901/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 th -4533471823554859/37778931862957161709568) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (if (<=.f64 th 62) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(if (<=.f64 a1 -7594266210319049/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2))
(if (<=.f64 a1 -2700547251514317/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
Outputs
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 a2 621944215500267/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))
(if (<=.f64 a2 6023038718528901/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 6023038718528901/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(if (<=.f64 a2 6023038718528901/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 6023038718528901/13093562431584567480052758787310396608866568184172259157933165472384535185618698219533080369303616628603546736510240284036869026183541572213314110357504) (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(if (<=.f64 a2 2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 (cos.f64 th) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 2749648110632759/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(if (<=.f64 th -4533471823554859/37778931862957161709568) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (if (<=.f64 th 62) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (*.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(if (or (<=.f64 th -4533471823554859/37778931862957161709568) (not (<=.f64 th 62))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(if (<=.f64 a1 -7594266210319049/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (*.f64 (pow.f64 2 -1/2) a2) a2))
(if (<=.f64 a1 -7594266210319049/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(if (<=.f64 a1 -2700547251514317/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a1 -2700547251514317/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
Compiler

Compiled 267 to 187 computations (30% saved)

soundness18.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
60×fma-def
50×*-commutative
40×associate-/l*
18×associate-/r/
16×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01539
13035
25635
37935
410635
512435
614235
714735
814935
Stop Event
1×saturated
Compiler

Compiled 73 to 33 computations (54.8% saved)

end106.0ms (0.7%)

Remove

(sort a1 a2)

Compiler

Compiled 260 to 141 computations (45.8% saved)

Profiling

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