Details

Time bar (total: 15.1s)

analyze350.0ms (2.3%)

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)

sample3.4s (22.3%)

Results
911.0ms1827×body1024valid
884.0ms5475×body256valid
744.0ms1637×body1024infinite
293.0ms953×body512valid
267.0ms1580×body256infinite
233.0ms747×body512infinite
1.0ms1×body2048valid
Bogosity

preprocess29.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
96×fma-def_binary64
70×*-commutative_binary64
57×associate-/l*_binary64
30×associate-/r/_binary64
26×distribute-rgt-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02580
16972
216072
324372
432172
537572
642072
747472
848072
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 (*.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 (*.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)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×fma-def_binary64
23×*-commutative_binary64
20×associate-/l*_binary64
11×associate-/r/_binary64
9×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01320
12718
25818
38818
411518
513518
615218
717018
817218
Stop Event
1×saturated
Counts
1 → 3
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)))

eval1.0ms (0%)

Compiler

Compiled 47 to 25 computations (46.8% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New033
Fresh011
Picked000
Done000
Total044
Error
0.5b
Counts
4 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.5b
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
▶0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
▶0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 53 to 36 computations (32.1% saved)

localize15.0ms (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)
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 42 to 17 computations (59.5% saved)

series31.0ms (0.2%)

Counts
4 → 68
Calls

21 calls:

TimeVariablePointExpression
4.0ms
th
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
a1
@inf
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
2.0ms
a1
@0
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
th
@-inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
th
@inf
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 1361 to 1139 computations (16.3% saved)

rewrite74.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
913×prod-diff_binary64
623×log-prod_binary64
279×fma-def_binary64
224×expm1-udef_binary64
224×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
126135
2362235
Stop Event
1×node limit
Counts
4 → 196
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)))
(cos.f64 th)
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (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)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (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)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)))) (#(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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) 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((#(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 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 *.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.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 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(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 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(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 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)))) (#(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 (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 log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (exp.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 a2 a2)) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))))) (#(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 log1p.f64 (expm1.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 fma.f64 a1 a1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) 1 (*.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 (*.f64 a2 a2) 1 (*.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 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.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 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 a1 a1))))))

simplify108.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
609×associate-*l*_binary64
570×associate-*r*_binary64
412×log-prod_binary64
323×associate-/l*_binary64
262×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05334917
113394744
272084736
Stop Event
1×node limit
Counts
264 → 329
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 (pow.f64 th 6) (+.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 (*.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 (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 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 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 (/.f64 1 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 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 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 (/.f64 -1 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 (/.f64 -1 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 (/.f64 1 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 (/.f64 1 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 (/.f64 1 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 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 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 (/.f64 -1 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 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 th 4)) (*.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (*.f64 1/24 (pow.f64 th 4)) (+.f64 (*.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 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 (/.f64 1 a1) -2)
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(pow.f64 (/.f64 -1 a1) -2)
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 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 (/.f64 1 a2) -2)
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(pow.f64 (/.f64 -1 a2) -2)
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 0 (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 0 (cos.f64 th))
(+.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (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 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)
(pow.f64 (hypot.f64 a1 a2) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (exp.f64 (*.f64 a2 a2))))
(log.f64 (*.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 a2)) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log1p.f64 (expm1.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))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (*.f64 a1 a1) 1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a2 a2) 1 (*.f64 a1 a1))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 a1 a1))
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)))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.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))))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (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)))))
(fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (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 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (+.f64 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 (*.f64 1/24 (pow.f64 th 4)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (+.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 (*.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 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 a1 a1)))) (+.f64 (+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th))) (*.f64 1/24 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 (*.f64 1/24 (pow.f64 th 4)) (fma.f64 a1 a1 (*.f64 a2 a2))) (sqrt.f64 2)))) (fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2))) (/.f64 a2 (/.f64 (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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.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 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
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1
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
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(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
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(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
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(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
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(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
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(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
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(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
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(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
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(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
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(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(cos.f64 th)
(log1p.f64 (expm1.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)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.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 (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 (hypot.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)))
(*.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) 2)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 4)))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(pow.f64 (hypot.f64 a1 a2) 2)
(*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (pow.f64 a2 4))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (pow.f64 a1 4) (-.f64 (pow.f64 (*.f64 a2 a1) 2) (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 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(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 (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)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (exp.f64 (*.f64 a2 a2))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(log.f64 (*.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(+.f64 (*.f64 a1 (log.f64 (exp.f64 a1))) (log1p.f64 (expm1.f64 (*.f64 a2 a2))))
(+.f64 (*.f64 a2 a2) (*.f64 a1 (log.f64 (exp.f64 a1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a1 a1))) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (pow.f64 (exp.f64 a1) a1)))
(log.f64 (*.f64 (pow.f64 (exp.f64 a1) a1) (+.f64 1 (expm1.f64 (*.f64 a2 a2)))))
(+.f64 (*.f64 a1 (log.f64 (exp.f64 a1))) (log1p.f64 (expm1.f64 (*.f64 a2 a2))))
(+.f64 (*.f64 a2 a2) (*.f64 a1 (log.f64 (exp.f64 a1))))
(log.f64 (*.f64 (exp.f64 (*.f64 a2 a2)) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))) (+.f64 1 (expm1.f64 (*.f64 a1 a1)))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(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)
(log1p.f64 (expm1.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)
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (*.f64 a1 a1) 1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (*.f64 a2 a2) 1 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))
(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 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 a1 (cbrt.f64 a1)) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 a1 4)) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 a2 (cbrt.f64 a2)) (*.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 (pow.f64 a2 4)) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) a2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a2) (*.f64 a2 (sqrt.f64 a2)) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 a1)) (*.f64 a2 a2))
(fma.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a1) (*.f64 a1 (sqrt.f64 a1)) (*.f64 a2 a2))
(fma.f64 (*.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a2) (*.f64 a2 (sqrt.f64 a2)) (*.f64 a1 a1))
(fma.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 a1 (cbrt.f64 a1)) (*.f64 a2 a2))
(fma.f64 (*.f64 a2 (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 a2 (cbrt.f64 a2)) (*.f64 a1 a1))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 37 to 16 computations (56.8% saved)

series17.0ms (0.1%)

Counts
1 → 36
Calls

9 calls:

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

Compiled 827 to 675 computations (18.4% saved)

rewrite50.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
523×log-prod_binary64
407×exp-prod_binary64
343×pow-prod-down_binary64
283×pow2_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01118
122417
2273817
Stop Event
1×node limit
Counts
1 → 39
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)))) (#(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 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (pow.f64 2 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 th) (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 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
382×times-frac_binary64
311×log-prod_binary64
303×associate-/l*_binary64
289×associate-*r*_binary64
272×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01701620
14071519
211091506
346891484
Stop Event
1×node limit
Counts
75 → 90
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 (pow.f64 th 6) (+.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 (*.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 (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 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 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 (/.f64 1 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 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 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 (/.f64 -1 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 (/.f64 -1 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 (/.f64 1 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 (/.f64 1 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 (/.f64 1 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 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 -1 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 (/.f64 -1 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 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 0 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(+.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))
(log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.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 a2 a2) (sqrt.f64 2)) (+.f64 (/.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 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(+.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (fma.f64 -1/2 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (*.f64 th th) (sqrt.f64 2))) (*.f64 a1 (/.f64 a1 (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 a2 a2) (sqrt.f64 2)) (+.f64 (/.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 (fma.f64 -1/2 (*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (/.f64 1/24 (/.f64 (sqrt.f64 2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 th 4)))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
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(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 3)
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 1) (sqrt.f64 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (pow.f64 2 1/6))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (pow.f64 2 1/6) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/6)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cbrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 2 1/6))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6) 1/3)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1)
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) 2)) (cbrt.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (sqrt.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a1 a2) 4)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))
(log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 6)) 1/3))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2))) 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
(/.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 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.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 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
✓0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 59 to 29 computations (50.8% saved)

series35.0ms (0.2%)

Counts
3 → 84
Calls

21 calls:

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

Compiled 1696 to 1416 computations (16.5% saved)

rewrite71.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
740×log-prod_binary64
512×fma-def_binary64
365×pow2_binary64
251×pow1/3_binary64
246×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
128346
2391645
Stop Event
1×node limit
Counts
3 → 147
Calls
Call 1
Inputs
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
Outputs
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simplify107.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
341×cancel-sign-sub-inv_binary64
308×log-prod_binary64
272×distribute-rgt-neg-in_binary64
227×associate-*r*_binary64
226×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04105873
111635279
243675279
Stop Event
1×node limit
Counts
231 → 267
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 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))))
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(/.f64 1 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2)))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)) (fma.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2))))
(/.f64 (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) 2)
(/.f64 (fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2) (*.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 2)
(/.f64 (-.f64 (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (-.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 2)) (+.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3))) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (pow.f64 (pow.f64 (exp.f64 a1) a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 1 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 1 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 1) a2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (sqrt.f64 a2)) (sqrt.f64 a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1) a1 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (sqrt.f64 a1)) (sqrt.f64 a1) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.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 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 th th)) (*.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 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 th th)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1)))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 th th)) (fma.f64 1/24 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (pow.f64 th 4)) (*.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a1 a1)) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(fma.f64 -1/2 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 th th)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (fma.f64 -1/720 (*.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))))
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(/.f64 (+.f64 (*.f64 (pow.f64 a1 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)) (*.f64 (pow.f64 a2 6) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))) (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (*.f64 (*.f64 a1 a1) (pow.f64 (cos.f64 th) 2)) (/.f64 2 (*.f64 a2 a2)))))
(pow.f64 (/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (pow.f64 a2 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2)))) -1)
(/.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(*.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
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(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 a1 4) (pow.f64 (cos.f64 th) 2)) 2)) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 a1 4) (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))) (cbrt.f64 (/.f64 (pow.f64 a1 4) (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 (*.f64 a2 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2)) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 2 -1/2) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) a1) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(fma.f64 (/.f64 (*.f64 (cos.f64 th) (cbrt.f64 (pow.f64 a2 4))) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 (*.f64 a2 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) 1) a2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) (sqrt.f64 a2)) (sqrt.f64 a2) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (cos.f64 th) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) 1) a1 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) (sqrt.f64 a1)) (sqrt.f64 a1) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))

eval308.0ms (2%)

Compiler

Compiled 19737 to 11203 computations (43.2% saved)

prune225.0ms (1.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New86418882
Fresh000
Picked101
Done112
Total86619885
Error
0b
Counts
885 → 19
Alt Table
Click to see full alt table
StatusErrorProgram
▶22.9b
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
0.4b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶22.9b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
▶28.2b
(/.f64 (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
28.1b
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
22.9b
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
0.4b
(*.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
0.4b
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
27.1b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
28.2b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))
26.8b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
23.0b
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶0.4b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
0.9b
(*.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)))
26.8b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
0.4b
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
▶28.2b
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
28.2b
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Compiler

Compiled 556 to 413 computations (25.7% saved)

localize18.0ms (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)
✓0.2b
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
✓0.3b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 46 to 21 computations (54.3% saved)

series65.0ms (0.4%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
23.0ms
th
@inf
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
19.0ms
a2
@0
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
7.0ms
th
@-inf
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
3.0ms
th
@0
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
3.0ms
a1
@0
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 1046 to 880 computations (15.9% saved)

rewrite61.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
961×prod-diff_binary64
636×log-prod_binary64
298×fma-def_binary64
236×expm1-udef_binary64
236×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01328
128125
2363325
Stop Event
1×node limit
Counts
2 → 85
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
Outputs
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(cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3)) (fma.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 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th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (exp.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (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) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))))))

simplify69.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
516×times-frac_binary64
353×associate-*l*_binary64
325×associate-*r*_binary64
292×associate-/l*_binary64
248×associate-/r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02883209
18032660
232502486
Stop Event
1×node limit
Counts
125 → 176
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(pow.f64 2 -1/2)
(+.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (pow.f64 th 2))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (pow.f64 th 4))) (+.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (pow.f64 th 2)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (pow.f64 th 4))) (+.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (pow.f64 th 2))) (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 2 -1/2))))))
(+.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(+.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 3)) (fma.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (-.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (exp.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))) 1))
(fma.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 a1 (*.f64 a1 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 a2 (*.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 1 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
Outputs
(*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (pow.f64 2 -1/2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (fma.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 1/24 (*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 th 4)))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (fma.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 th 4) 1/24)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (+.f64 (*.f64 (pow.f64 th 4) 1/24) (*.f64 (*.f64 th th) -1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (fma.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (fma.f64 -1/720 (*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 th 6)) (*.f64 1/24 (*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (pow.f64 th 4))))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 th th))) (+.f64 (*.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 th 4) 1/24)) (fma.f64 a2 a2 (*.f64 a1 a1))) (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 th 6)) 1) (*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))))
(+.f64 (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 th 6)) 1) (pow.f64 2 -1/2))) (*.f64 (*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1))) (+.f64 (*.f64 (pow.f64 th 4) 1/24) (*.f64 (*.f64 th th) -1/2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (cos.f64 th) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/2))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
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(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 a1 (*.f64 a1 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) (*.f64 a2 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))) 1))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (sqrt.f64 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) a2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (*.f64 a2 a2) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 a1 (*.f64 a1 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) (*.f64 a2 (*.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 a1 (*.f64 a1 (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) (*.f64 a2 (*.f64 (sqrt.f64 1/2) (*.f64 a2 (cos.f64 th)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (*.f64 a2 a2))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2 (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (cbrt.f64 a2) 2))) (*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2))) (*.f64 a1 (*.f64 a1 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) (*.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(fma.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th)))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 1)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) 1/3)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 2)
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 (cos.f64 th) 2)))
(fabs.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) 3))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 1))
(*.f64 (cos.f64 th) (sqrt.f64 1/2))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
✓0.4b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 31 to 12 computations (61.3% saved)

series13.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
a2
@0
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a1
@inf
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a2
@inf
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a1
@0
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
1.0ms
a1
@-inf
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
Compiler

Compiled 670 to 586 computations (12.5% saved)

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
984×pow1_binary64
919×add-log-exp_binary64
918×log1p-expm1-u_binary64
918×expm1-log1p-u_binary64
99×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921
119519
2258419
Stop Event
1×node limit
Counts
2 → 66
Calls
Call 1
Inputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (*.f64 a2 a2) (*.f64 a1 a1))
Outputs
((#(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 (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 (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)) (pow.f64 2 -1/2)))))) (#(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) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (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 (/.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 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))))) (#(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 (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 (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 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 (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 pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)))) (#(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 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)))) (#(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 (/.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 cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))))) (#(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 log1p.f64 (expm1.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 -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (hypot.f64 a2 a1) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.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 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a2 4) (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 1 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.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 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(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 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)))) (#(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 (hypot.f64 a2 a1) 2)))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.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))))))

simplify64.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
788×times-frac_binary64
690×unswap-sqr_binary64
546×associate-*l/_binary64
365×associate-/r*_binary64
219×distribute-rgt-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01871587
14231551
217051539
Stop Event
1×node limit
Counts
114 → 112
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 (/.f64 1 a2) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 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 (/.f64 1 a1) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 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 (/.f64 1 a2) -2)
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(pow.f64 (/.f64 -1 a2) -2)
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -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 (/.f64 1 a1) -2)
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(pow.f64 (/.f64 -1 a1) -2)
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2) 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)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 (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 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (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 (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 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.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 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) -1)
(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))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.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))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(-.f64 (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.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 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (hypot.f64 a2 a1) 2)
(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)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(exp.f64 (log.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 (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 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 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 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 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 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 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 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (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 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 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 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 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 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 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (pow.f64 (/.f64 1 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 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 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 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (pow.f64 (/.f64 -1 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 (/.f64 -1 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 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 a2 (/.f64 (sqrt.f64 2) a2)))
(pow.f64 a1 2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 (/.f64 1 a2) -2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 1 a2) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 (/.f64 -1 a2) -2)
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 (/.f64 -1 a2) -2) (*.f64 a1 a1))
(fma.f64 a1 a1 (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 (/.f64 -1 a2) -2) (*.f64 a1 a1))
(fma.f64 a1 a1 (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 a1 2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (pow.f64 (/.f64 -1 a2) -2) (*.f64 a1 a1))
(fma.f64 a1 a1 (pow.f64 (/.f64 -1 a2) -2))
(pow.f64 a2 2)
(pow.f64 (/.f64 1 a2) -2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 (/.f64 1 a1) -2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 1 a1) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(pow.f64 (/.f64 -1 a1) -2)
(*.f64 a1 a1)
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(+.f64 (pow.f64 a2 2) (pow.f64 (/.f64 -1 a1) -2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (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 (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)) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(*.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (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 (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 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) (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 (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 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 (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)
(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 (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 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 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))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (*.f64 2 (sqrt.f64 2))))
(/.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))
(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))
(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))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(-.f64 (/.f64 (pow.f64 a2 4) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (pow.f64 a1 4) (-.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 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))
(pow.f64 (hypot.f64 a2 a1) 2)
(*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.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 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.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 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (-.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 1 (/.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.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 1 (/.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.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 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.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 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.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 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (-.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 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (+.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 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (neg.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 (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)))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(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)
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 3)
(pow.f64 (hypot.f64 a2 a1) 2)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(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)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (log.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 a2 a2 (*.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2))))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 30 to 15 computations (50% saved)

series33.0ms (0.2%)

Counts
3 → 44
Calls

18 calls:

TimeVariablePointExpression
13.0ms
a2
@-inf
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
2.0ms
th
@0
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
2.0ms
th
@0
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
1.0ms
th
@inf
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
1.0ms
a2
@0
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
Compiler

Compiled 940 to 772 computations (17.9% saved)

rewrite54.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
982×pow1_binary64
911×add-log-exp_binary64
911×log1p-expm1-u_binary64
911×expm1-log1p-u_binary64
94×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
118831
2243531
Stop Event
1×node limit
Counts
3 → 80
Calls
Call 1
Inputs
(/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 a2 (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2)) (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a2 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) a2) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 (*.f64 (cos.f64 th) (neg.f64 a2))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 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 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))))))

simplify52.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
666×associate-/r*_binary64
373×associate-/r/_binary64
369×associate-/l/_binary64
339×distribute-rgt-in_binary64
329×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02381696
15881684
225021678
Stop Event
1×node limit
Counts
124 → 136
Calls
Call 1
Inputs
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) a2) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) a2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) a2) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) a2) (sqrt.f64 2))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) a2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) a2) (sqrt.f64 2))) (/.f64 a2 (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 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 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 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a2 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 (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 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
(*.f64 (cos.f64 th) a2)
a2
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) a2)) a2)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) a2)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) a2)) a2))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 th 2) a2)) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 th 4) a2)) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) a2)) a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 1)
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 1 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2)) (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (*.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (*.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) 1) (/.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 1) (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)))
(pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) -1)
(neg.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (*.f64 (cos.f64 th) (neg.f64 a2))) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 1)
(pow.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 3)
(pow.f64 (sqrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
Outputs
(/.f64 a2 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) a2) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) a2)) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 (*.f64 th th) (sqrt.f64 2)) a2) (/.f64 a2 (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 th th)) (/.f64 a2 (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 th 2) a2) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) a2) (sqrt.f64 2))) (/.f64 a2 (sqrt.f64 2))))
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a2
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(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))) -1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(neg.f64 (/.f64 (*.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(*.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 a2) (neg.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (neg.f64 a2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))
(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))) 1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (neg.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (neg.f64 a2)) a2) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 a2 (*.f64 (cos.f64 th) (neg.f64 a2))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3) 1/3)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 3)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(pow.f64 (sqrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 2)
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(sqrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 3))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)) 3) (pow.f64 a2 3)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(*.f64 (/.f64 a2 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)
(*.f64 a2 (cos.f64 th))
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(*.f64 a2 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(*.f64 a2 (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(*.f64 a2 (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)
(*.f64 a2 (cos.f64 th))
(sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))
(*.f64 a2 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(*.f64 a2 (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 a2 (cos.f64 th))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))
(*.f64 a2 (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (cos.f64 th))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.4b
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Compiler

Compiled 26 to 11 computations (57.7% saved)

series6.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

Compiled 398 to 356 computations (10.6% saved)

rewrite46.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
765×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
691×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
116412
2195812
Stop Event
1×node limit
Counts
1 → 31
Calls
Call 1
Inputs
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))))) (#(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 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (neg.f64 (sqrt.f64 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 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))))) (#(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 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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(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 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 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))))) (#(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 (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 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)))) (#(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 (/.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 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 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 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 log1p.f64 (expm1.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))))))))

simplify62.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
496×log-prod_binary64
470×log-div_binary64
355×fma-def_binary64
348×associate-/l*_binary64
301×associate-*l/_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0107987
1248921
2825861
34295825
Stop Event
1×node limit
Counts
55 → 59
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 (/.f64 1 a1) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 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 (/.f64 1 a2) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(log1p.f64 (expm1.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))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.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 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.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 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.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 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.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 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.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 (/.f64 -1 a1) -2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.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 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.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 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.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 a2 a2) (sqrt.f64 2)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(+.f64 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 (/.f64 1 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 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 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 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 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 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(+.f64 (/.f64 (pow.f64 (/.f64 -1 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 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 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 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(+.f64 (/.f64 (pow.f64 (/.f64 -1 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 (/.f64 a2 (sqrt.f64 2)) a2) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))
(fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(-.f64 (+.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/2))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.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 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.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) (pow.f64 2 1/2))
(pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))
(sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.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 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (*.f64 2 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.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 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.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 1 (-.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1))
(+.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 0)
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.1b
(*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))
✓0.3b
(/.f64 (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
✓0.4b
(pow.f64 (/.f64 1 a2) -2)
Compiler

Compiled 39 to 28 computations (28.2% saved)

series19.0ms (0.1%)

Counts
3 → 48
Calls

15 calls:

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

Compiled 798 to 674 computations (15.5% saved)

rewrite93.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
534×log-prod_binary64
415×exp-prod_binary64
306×pow-prod-down_binary64
287×pow2_binary64
198×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01236
124927
2296727
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 a2) -2)
(/.f64 (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) a2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a2) (pow.f64 a2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 a2)) -4) (pow.f64 (cbrt.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a2 3/2) (sqrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 a2 -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 a2 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 a2 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 a2 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 a2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 a2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a2)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 a2) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 a2) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a2)) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 a2)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))) (#(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 (cos.f64 th) 1) (/.f64 (*.f64 a2 a2) (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 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)))))) (#(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 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 2)) (cbrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))) (sqrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1) 1))))))

simplify59.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
911×times-frac_binary64
395×associate-/l/_binary64
323×associate-/r/_binary64
288×distribute-rgt-in_binary64
280×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03232222
18002147
229412138
Stop Event
1×node limit
Counts
160 → 177
Calls
Call 1
Inputs
(pow.f64 a2 2)
(pow.f64 a2 2)
(pow.f64 a2 2)
(pow.f64 a2 2)
(pow.f64 (/.f64 -1 a2) -2)
(pow.f64 (/.f64 -1 a2) -2)
(pow.f64 (/.f64 -1 a2) -2)
(pow.f64 (/.f64 -1 a2) -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 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 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 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a2 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 (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) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (*.f64 -1/2 (*.f64 (pow.f64 a2 2) (pow.f64 th 2))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a2 2) (pow.f64 th 4))) (*.f64 -1/2 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a2 2) (pow.f64 th 4))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 a2 2))) (*.f64 -1/2 (*.f64 (pow.f64 a2 2) (pow.f64 th 2))))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 0 (*.f64 a2 a2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) a2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) 1)
(*.f64 1 (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 (*.f64 a2 a2) 1)
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2))
(*.f64 (*.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (sqrt.f64 a2) (pow.f64 a2 3/2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a2)) -4) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (pow.f64 a2 3/2) (sqrt.f64 a2))
(*.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2))
(/.f64 1 (pow.f64 a2 -2))
(sqrt.f64 (pow.f64 a2 4))
(log.f64 (pow.f64 (exp.f64 a2) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))))
(cbrt.f64 (pow.f64 a2 6))
(expm1.f64 (log1p.f64 (*.f64 a2 a2)))
(log1p.f64 (expm1.f64 (*.f64 a2 a2)))
(exp.f64 (*.f64 2 (log.f64 a2)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 a2)) 1))
(exp.f64 (*.f64 (log.f64 a2) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 a2 6)) 1/3))
(exp.f64 (*.f64 (*.f64 -2 (log.f64 a2)) -1))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 a2))) 3))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a2)) -1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 a2) 1) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 a2) -1) -2))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a2)) 1) -2))
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 a2)) 1) 1))
(+.f64 0 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 1)
(*.f64 1 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (*.f64 a2 a2) (/.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2))
(*.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1)
(*.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) (cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) (*.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 -1/2)))
(*.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (*.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (pow.f64 2 -1/2)))
(*.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a2 a2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) 1) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)))
(*.f64 (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 1) (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 2 1/6)))
(*.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/6)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) (cbrt.f64 2)) (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (cbrt.f64 2)) (/.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 1/4)))
(*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 1/4)))
(pow.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(pow.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(pow.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 2)) (cbrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))) (sqrt.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))
(neg.f64 (/.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(+.f64 0 (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 1)
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(pow.f64 (E.f64) (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 2)) (cbrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))) (sqrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(sqrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1) 1))
Outputs
(pow.f64 a2 2)
(*.f64 a2 a2)
(pow.f64 a2 2)
(*.f64 a2 a2)
(pow.f64 a2 2)
(*.f64 a2 a2)
(pow.f64 a2 2)
(*.f64 a2 a2)
(pow.f64 (/.f64 -1 a2) -2)
(pow.f64 (/.f64 -1 a2) -2)
(pow.f64 (/.f64 -1 a2) -2)
(pow.f64 (/.f64 -1 a2) -2)
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (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 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2)))))
(fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (*.f64 -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 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a2 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))))))
(fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a2 a2)) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (sqrt.f64 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (*.f64 th th) (*.f64 a2 a2)) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(fma.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (*.f64 a2 a2)) (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(fma.f64 -1/720 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 6)) (fma.f64 1/24 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (*.f64 th th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(pow.f64 a2 2)
(*.f64 a2 a2)
(+.f64 (pow.f64 a2 2) (*.f64 -1/2 (*.f64 (pow.f64 a2 2) (pow.f64 th 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a2 a2))) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 a2 a2)))
(*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a2 2) (pow.f64 th 4))) (*.f64 -1/2 (*.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a2 a2)))) (*.f64 a2 a2))
(fma.f64 a2 a2 (fma.f64 -1/2 (*.f64 th (*.f64 th (*.f64 a2 a2))) (*.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)))))
(fma.f64 a2 a2 (*.f64 (*.f64 a2 a2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 1/24 (pow.f64 th 4)))))
(+.f64 (pow.f64 a2 2) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 a2 2) (pow.f64 th 4))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (pow.f64 a2 2))) (*.f64 -1/2 (*.f64 (pow.f64 a2 2) (pow.f64 th 2))))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (fma.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 a2 a2)) (*.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a2 a2))))) (*.f64 a2 a2))
(fma.f64 a2 a2 (fma.f64 1/24 (*.f64 (pow.f64 th 4) (*.f64 a2 a2)) (fma.f64 -1/2 (*.f64 th (*.f64 th (*.f64 a2 a2))) (*.f64 (pow.f64 th 6) (*.f64 (*.f64 a2 a2) -1/720)))))
(fma.f64 a2 a2 (fma.f64 1/24 (*.f64 a2 (*.f64 a2 (pow.f64 th 4))) (*.f64 (*.f64 a2 a2) (+.f64 (*.f64 -1/2 (*.f64 th th)) (*.f64 -1/720 (pow.f64 th 6))))))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(+.f64 0 (*.f64 a2 a2))
(*.f64 a2 a2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a2) a2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) a2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a2) a2))))
(*.f64 a2 a2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) 1)
(*.f64 a2 a2)
(*.f64 1 (*.f64 a2 a2))
(*.f64 a2 a2)
(*.f64 a2 a2)
(*.f64 (*.f64 a2 a2) 1)
(*.f64 a2 a2)
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) a2))
(*.f64 a2 a2)
(*.f64 (*.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 a2 a2)
(*.f64 (sqrt.f64 a2) (pow.f64 a2 3/2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 a2)) -4) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 (/.f64 1 (cbrt.f64 a2)) -4))
(*.f64 (pow.f64 a2 3/2) (sqrt.f64 a2))
(*.f64 (sqrt.f64 a2) (pow.f64 a2 3/2))
(*.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2))
(*.f64 a2 a2)
(/.f64 1 (pow.f64 a2 -2))
(*.f64 a2 a2)
(sqrt.f64 (pow.f64 a2 4))
(*.f64 a2 a2)
(log.f64 (pow.f64 (exp.f64 a2) a2))
(*.f64 a2 a2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 a2))))
(*.f64 a2 a2)
(cbrt.f64 (pow.f64 a2 6))
(*.f64 a2 a2)
(expm1.f64 (log1p.f64 (*.f64 a2 a2)))
(*.f64 a2 a2)
(log1p.f64 (expm1.f64 (*.f64 a2 a2)))
(*.f64 a2 a2)
(exp.f64 (*.f64 2 (log.f64 a2)))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 a2)) 1))
(*.f64 a2 a2)
(exp.f64 (*.f64 (log.f64 a2) 2))
(*.f64 a2 a2)
(exp.f64 (*.f64 (log.f64 (pow.f64 a2 6)) 1/3))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 -2 (log.f64 a2)) -1))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 a2))) 3))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a2)) -1) 2))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 (log.f64 a2) 1) 2))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 (log.f64 a2) -1) -2))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 a2)) 1) -2))
(*.f64 a2 a2)
(exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 a2)) 1) 1))
(*.f64 a2 a2)
(+.f64 0 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cos.f64 th)))))
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(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 1))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6)) 1/3))
(pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 3))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) 2))
(pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 a2 -2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) -1))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))) 1) 1))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 0 (*.f64 a2 (*.f64 a2 (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 1)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (E.f64) (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4) 1/2)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6) 1/3)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 2)) (cbrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))) (sqrt.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(sqrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 4))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a2 a2)))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 6)) 1/3))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 3))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th)))) 2))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 1) 1))
(*.f64 a2 (*.f64 a2 (cos.f64 th)))

eval326.0ms (2.2%)

Compiler

Compiled 14578 to 8722 computations (40.2% saved)

prune258.0ms (1.7%)

Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New83520855
Fresh7613
Picked101
Done235
Total84529874
Error
0b
Counts
874 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
▶38.2b
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
✓22.9b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
42.2b
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
28.1b
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
39.2b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
38.1b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
39.1b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
38.1b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶22.9b
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
0.4b
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
▶0.4b
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
27.1b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
28.2b
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶26.8b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
39.2b
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶38.1b
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
23.0b
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
27.0b
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
26.8b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
26.8b
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
28.2b
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
28.1b
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
42.4b
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
✓28.2b
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
28.2b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
28.1b
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))
28.2b
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Compiler

Compiled 727 to 551 computations (24.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.3b
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓0.7b
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
✓0.7b
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
Compiler

Compiled 60 to 33 computations (45% saved)

series37.0ms (0.2%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
8.0ms
th
@-inf
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
6.0ms
a2
@-inf
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
3.0ms
th
@0
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
th
@0
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
2.0ms
a1
@0
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 1404 to 1224 computations (12.8% saved)

rewrite76.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
949×prod-diff_binary64
290×fma-def_binary64
264×expm1-udef_binary64
264×log1p-udef_binary64
227×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01449
131334
2438434
Stop Event
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (cos.f64 th) (pow.f64 2 1/4))
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
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simplify112.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
476×associate-*r*_binary64
474×associate-*l*_binary64
391×associate-/l*_binary64
367×times-frac_binary64
247×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04735836
113215180
263964630
Stop Event
1×node limit
Counts
212 → 306
Calls
Call 1
Inputs
(/.f64 1 (pow.f64 (pow.f64 2 1/4) 2))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 (pow.f64 2 1/4) 2))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 (pow.f64 2 1/4) 2))) (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 (pow.f64 2 1/4) 2)))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 (pow.f64 2 1/4) 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 (pow.f64 2 1/4) 2))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (pow.f64 (pow.f64 2 1/4) 2))))))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 1 (pow.f64 2 1/4))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 2 1/4))) (/.f64 1 (pow.f64 2 1/4)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 2 1/4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/4))) (/.f64 1 (pow.f64 2 1/4))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 2 1/4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/4))) (+.f64 (/.f64 1 (pow.f64 2 1/4)) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (pow.f64 2 1/4))))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 (pow.f64 2 1/4) 2))
(+.f64 (/.f64 (pow.f64 a2 2) (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (/.f64 (pow.f64 a1 2) (pow.f64 (pow.f64 2 1/4) 2)) (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (pow.f64 (pow.f64 2 1/4) 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (/.f64 (pow.f64 a1 2) (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (pow.f64 (pow.f64 2 1/4) 2))) (*.f64 1/24 (/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (pow.f64 (pow.f64 2 1/4) 2))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (pow.f64 2 1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4)))) (*.f64 (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)) (neg.f64 (pow.f64 2 1/4))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4)))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (neg.f64 (pow.f64 2 1/4))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 3) (pow.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 3)) (fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (-.f64 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (-.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2))) 1) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/4) (pow.f64 (hypot.f64 a1 a2) 2))) (pow.f64 2 1/8)) (pow.f64 2 1/8))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4))) (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (pow.f64 2 1/4)))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (neg.f64 (pow.f64 2 -1/4)))) (neg.f64 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))))
(log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))) 1))
(fma.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 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (cos.f64 th) (pow.f64 2 -1/4)) (*.f64 (pow.f64 2 -1/4) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 1 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a1 a1)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) 1 (*.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a2 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 -1/4) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (cos.f64 th) (pow.f64 2 -1/4))) (pow.f64 2 -1/4) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a1) a1 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 2)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
Outputs
(/.f64 1 (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 1 (pow.f64 2 1/2))
(/.f64 1 (sqrt.f64 2))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 (pow.f64 2 1/4) 2))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (*.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 (pow.f64 2 1/4) 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 2 1/2)) (/.f64 1 (pow.f64 2 1/2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 (pow.f64 2 1/4) 2))) (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 (pow.f64 2 1/4) 2)))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 (pow.f64 2 1/4) 2)) (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 (pow.f64 2 1/4) 2)))))
(+.f64 (/.f64 1 (pow.f64 2 1/2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 2 1/2)) (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/2)))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (/.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 th 4))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 (pow.f64 2 1/4) 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 (pow.f64 2 1/4) 2))) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (pow.f64 (pow.f64 2 1/4) 2))))))
(+.f64 (/.f64 1 (pow.f64 (pow.f64 2 1/4) 2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 (pow.f64 2 1/4) 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 (pow.f64 2 1/4) 2)) (/.f64 (*.f64 -1/720 (pow.f64 th 6)) (pow.f64 (pow.f64 2 1/4) 2)))))
(+.f64 (/.f64 1 (pow.f64 2 1/2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 2 1/2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (pow.f64 2 1/2)) (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/2))))))
(+.f64 (fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (/.f64 1/24 (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 2 1/4) 2))
(/.f64 (cos.f64 th) (pow.f64 2 1/2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(/.f64 1 (pow.f64 2 1/4))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 2 1/4))) (/.f64 1 (pow.f64 2 1/4)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))
(fma.f64 -1/2 (/.f64 th (/.f64 (pow.f64 2 1/4) th)) (/.f64 1 (pow.f64 2 1/4)))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 2 1/4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/4))) (/.f64 1 (pow.f64 2 1/4))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (pow.f64 2 1/4)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4))))
(fma.f64 -1/2 (/.f64 th (/.f64 (pow.f64 2 1/4) th)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4))))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (pow.f64 2 1/4))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (pow.f64 2 1/4))) (+.f64 (/.f64 1 (pow.f64 2 1/4)) (*.f64 -1/720 (/.f64 (pow.f64 th 6) (pow.f64 2 1/4))))))
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(fma.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 a2 a2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (*.f64 a2 (*.f64 a2 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))
(+.f64 (/.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (pow.f64 (pow.f64 2 1/4) 2)) (/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 (pow.f64 2 1/4) 2)))
(+.f64 (*.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/2)) (cos.f64 th)) (/.f64 (*.f64 a1 (*.f64 (cos.f64 th) a1)) (pow.f64 2 1/2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓0.4b
(/.f64 a1 (sqrt.f64 2))
Compiler

Compiled 17 to 13 computations (23.5% saved)

series7.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

Compiled 232 to 208 computations (10.3% saved)

rewrite43.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
576×add-log-exp_binary64
576×log1p-expm1-u_binary64
576×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112715
2156615
Stop Event
1×node limit
Counts
2 → 50
Calls
Call 1
Inputs
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.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 (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 (cbrt.f64 a1) 2) (*.f64 (cbrt.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 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))))) (#(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 (pow.f64 2 -1/2) a1)))) (#(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 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))))) (#(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 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.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 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(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 pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(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 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)))) (#(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 (/.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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.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 (neg.f64 (*.f64 a1 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 a1 (neg.f64 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) (cbrt.f64 2)) (cbrt.f64 (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 pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(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 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 log1p.f64 (expm1.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)))))))))

simplify53.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
651×log-div_binary64
650×fma-def_binary64
432×unswap-sqr_binary64
417×associate-/l*_binary64
365×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0125663
1292597
21043537
36145537
Stop Event
1×node limit
Counts
62 → 68
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 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a1 (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 (/.f64 a1 2) a1)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 2))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 a1 (/.f64 2 a1))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 (/.f64 a1 2) a1)))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (*.f64 a1 (/.f64 a1 2))))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)))
(/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(sqrt.f64 (/.f64 a1 (/.f64 2 a1)))
(sqrt.f64 (*.f64 (/.f64 a1 2) a1))
(sqrt.f64 (*.f64 a1 (/.f64 a1 2)))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (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 a1) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓0.4b
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 34 to 15 computations (55.9% saved)

series8.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

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

Compiled 440 to 398 computations (9.5% saved)

rewrite52.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
800×prod-diff_binary64
453×log-prod_binary64
368×pow-prod-down_binary64
267×pow2_binary64
262×fma-def_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
122112
2285812
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 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 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 2 -3/2) (pow.f64 a1 6)) (*.f64 (pow.f64 2 -3/2) (pow.f64 a2 6))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 2) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 2)) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.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 (pow.f64 a1 4) (-.f64 (pow.f64 a2 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)) (sqrt.f64 1/2)) (-.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 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 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 pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(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 sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(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 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.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)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 (*.f64 a2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.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 1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a2) a2) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 a1) a1) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 2 -1/6) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 2 -1/6) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 2) (cbrt.f64 (*.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 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2)) (pow.f64 2 -1/6) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a1) a1)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a2) a2)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (pow.f64 2 -1/6) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))))

simplify59.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
460×fma-def_binary64
401×cancel-sign-sub-inv_binary64
392×associate-/l/_binary64
359×fma-neg_binary64
295×div-sub_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01841393
15011270
213201218
342761218
Stop Event
1×node limit
Counts
78 → 106
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 1)
(/.f64 (+.f64 (*.f64 (pow.f64 2 -3/2) (pow.f64 a1 6)) (*.f64 (pow.f64 2 -3/2) (pow.f64 a2 6))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) (-.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 2) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 2) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 2)) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2) 1/2)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 -3/2)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 6) (pow.f64 2 -3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 a1 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 a2 (*.f64 a2 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cbrt.f64 a2) a2) (*.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (cbrt.f64 a1) a1) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 2 -1/6) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (pow.f64 2 -1/6) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 a1 (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 a2 (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 1/2)) (pow.f64 2 -1/6) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a1) a1)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a2) a2)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (pow.f64 2 -1/6) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
Outputs
(*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a2) -2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.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) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 1))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
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(fma.f64 (*.f64 (sqrt.f64 1/2) 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) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a1) a1)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(fma.f64 (*.f64 a1 (cbrt.f64 a1)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (*.f64 a1 (cbrt.f64 a1)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 a2 a2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (cbrt.f64 a2) a2)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 (cbrt.f64 a2)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 (cbrt.f64 a2)) (*.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 (*.f64 a2 (cbrt.f64 a2)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 1/2)) (pow.f64 2 -1/6) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/6)) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/6))) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 a2 (*.f64 (pow.f64 2 -1/6) (*.f64 a2 (cbrt.f64 1/2))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (pow.f64 2 -1/4) (*.f64 a2 (*.f64 a2 (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (pow.f64 2 -1/2) (*.f64 a2 a2) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
✓0.4b
(pow.f64 (/.f64 1 a1) -2)
Compiler

Compiled 25 to 21 computations (16% saved)

series8.0ms (0.1%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
3.0ms
a1
@inf
(pow.f64 (/.f64 1 a1) -2)
1.0ms
a1
@-inf
(pow.f64 (/.f64 1 a1) -2)
1.0ms
a1
@0
(pow.f64 (/.f64 1 a1) -2)
1.0ms
a1
@inf
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
1.0ms
a1
@0
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
Compiler

Compiled 236 to 212 computations (10.2% saved)

rewrite47.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
770×pow1_binary64
716×add-log-exp_binary64
715×log1p-expm1-u_binary64
715×expm1-log1p-u_binary64
700×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0919
118913
2213413
Stop Event
1×node limit
Counts
2 → 49
Calls
Call 1
Inputs
(pow.f64 (/.f64 1 a1) -2)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 a1 -2)) -2) (pow.f64 (cbrt.f64 (/.f64 1 a1)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a1 -1/2) -2) (pow.f64 (pow.f64 a1 -1/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1 a1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 a1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 a1)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) 3)))) (#(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 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))))

simplify46.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
429×associate-/l*_binary64
417×fma-def_binary64
393×log-prod_binary64
295×log-div_binary64
283×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0128555
1302546
2980546
34522537
Stop Event
1×node limit
Counts
65 → 70
Calls
Call 1
Inputs
(pow.f64 a1 2)
(pow.f64 a1 2)
(pow.f64 a1 2)
(pow.f64 a1 2)
(pow.f64 (/.f64 -1 a1) -2)
(pow.f64 (/.f64 -1 a1) -2)
(pow.f64 (/.f64 -1 a1) -2)
(pow.f64 (/.f64 -1 a1) -2)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a1 a1)) 1)
(*.f64 1 (*.f64 a1 a1))
(*.f64 a1 a1)
(*.f64 (*.f64 a1 a1) 1)
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (pow.f64 (cbrt.f64 a1) 2))
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1))
(*.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a1 -2)) -2) (pow.f64 (cbrt.f64 (/.f64 1 a1)) -2))
(*.f64 (pow.f64 (pow.f64 a1 -1/2) -2) (pow.f64 (pow.f64 a1 -1/2) -2))
(*.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(sqrt.f64 (pow.f64 (/.f64 1 a1) -4))
(log.f64 (pow.f64 (exp.f64 a1) a1))
(cbrt.f64 (pow.f64 (*.f64 a1 a1) 3))
(expm1.f64 (log1p.f64 (*.f64 a1 a1)))
(log1p.f64 (expm1.f64 (*.f64 a1 a1)))
(exp.f64 (log.f64 (*.f64 a1 a1)))
(-.f64 (+.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) 1)
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1)
(*.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1)
(pow.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) 3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) -1)
(neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(log.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(cbrt.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(log1p.f64 (expm1.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(exp.f64 (log.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
Outputs
(pow.f64 a1 2)
(*.f64 a1 a1)
(pow.f64 a1 2)
(*.f64 a1 a1)
(pow.f64 a1 2)
(*.f64 a1 a1)
(pow.f64 a1 2)
(*.f64 a1 a1)
(pow.f64 (/.f64 -1 a1) -2)
(*.f64 a1 a1)
(pow.f64 (/.f64 -1 a1) -2)
(*.f64 a1 a1)
(pow.f64 (/.f64 -1 a1) -2)
(*.f64 a1 a1)
(pow.f64 (/.f64 -1 a1) -2)
(*.f64 a1 a1)
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (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 (pow.f64 a1 2) (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 (pow.f64 a1 2) (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 (pow.f64 (/.f64 -1 a1) -2) (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 (pow.f64 (/.f64 -1 a1) -2) (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 (pow.f64 (/.f64 -1 a1) -2) (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 (pow.f64 (/.f64 -1 a1) -2) (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 (+.f64 1 (*.f64 a1 a1)) 1)
(*.f64 a1 a1)
(*.f64 1 (*.f64 a1 a1))
(*.f64 a1 a1)
(*.f64 a1 a1)
(*.f64 (*.f64 a1 a1) 1)
(*.f64 a1 a1)
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2))
(*.f64 a1 a1)
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) a1))
(*.f64 a1 a1)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (pow.f64 (cbrt.f64 a1) 2))
(*.f64 a1 a1)
(*.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) a1))
(*.f64 a1 a1)
(*.f64 (*.f64 a1 (sqrt.f64 a1)) (sqrt.f64 a1))
(*.f64 a1 a1)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a1 -2)) -2) (pow.f64 (cbrt.f64 (/.f64 1 a1)) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 a1 -2)) -2) (pow.f64 (cbrt.f64 (pow.f64 a1 -1)) -2))
(*.f64 (pow.f64 (pow.f64 a1 -1/2) -2) (pow.f64 (pow.f64 a1 -1/2) -2))
(pow.f64 (pow.f64 a1 -1/2) -4)
(*.f64 (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1))
(*.f64 a1 a1)
(sqrt.f64 (pow.f64 (/.f64 1 a1) -4))
(*.f64 a1 a1)
(log.f64 (pow.f64 (exp.f64 a1) a1))
(*.f64 a1 a1)
(cbrt.f64 (pow.f64 (*.f64 a1 a1) 3))
(*.f64 a1 a1)
(expm1.f64 (log1p.f64 (*.f64 a1 a1)))
(*.f64 a1 a1)
(log1p.f64 (expm1.f64 (*.f64 a1 a1)))
(*.f64 a1 a1)
(exp.f64 (log.f64 (*.f64 a1 a1)))
(*.f64 a1 a1)
(-.f64 (+.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)))
(*.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 a1 -1) -4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 a1 -1) -4) 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (*.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 -1/2)))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a1 a1) (pow.f64 2 1/2))
(*.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 1 (neg.f64 (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 (pow.f64 2 -1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 a1 (*.f64 a1 (pow.f64 2 -1/2)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (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 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (/.f64 a1 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a1 (*.f64 (/.f64 (cbrt.f64 2) a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) a1)
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 (*.f64 a1 (cbrt.f64 a1)) (cbrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 2) a1)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (*.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 a1)))
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (*.f64 a1 (/.f64 a1 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(/.f64 a1 (*.f64 (/.f64 (cbrt.f64 2) a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 a1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) a1)
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a1 a1) (pow.f64 2 1/2))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 a1) 2) 2) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a1 a1) (pow.f64 2 1/2))
(pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3) 1/3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) 3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(/.f64 (*.f64 a1 a1) (pow.f64 2 1/2))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) -1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 a1 -1) -4) 2))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(log.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
0.3b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
0.7b
(/.f64 (cos.f64 th) (sqrt.f64 2))
Compiler

Compiled 27 to 15 computations (44.4% saved)

eval275.0ms (1.8%)

Compiler

Compiled 14751 to 9084 computations (38.4% saved)

prune225.0ms (1.5%)

Pruning

40 alts after pruning (34 fresh and 6 done)

PrunedKeptTotal
New80016816
Fresh31821
Picked011
Done257
Total80540845
Error
0b
Counts
845 → 40
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
✓38.2b
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
44.7b
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
✓22.9b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
42.2b
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
28.1b
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
26.8b
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
39.2b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
38.1b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
27.0b
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
39.1b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
38.1b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
38.1b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
38.1b
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
▶0.4b
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
39.1b
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
26.8b
(*.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (*.f64 a1 a1))
41.2b
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
28.2b
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓26.8b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
▶39.2b
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓38.1b
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
23.0b
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
▶38.2b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
▶27.0b
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
26.8b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
38.1b
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
▶26.8b
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
38.2b
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
53.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
22.9b
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
28.2b
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
28.1b
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
✓28.2b
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
28.2b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
28.1b
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))
28.2b
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
26.8b
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
44.8b
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
Compiler

Compiled 917 to 709 computations (22.7% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
0.0b
(cos.f64 th)
✓0.2b
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
✓0.4b
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
Compiler

Compiled 50 to 17 computations (66% saved)

series23.0ms (0.2%)

Counts
2 → 72
Calls

18 calls:

TimeVariablePointExpression
3.0ms
th
@0
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
2.0ms
th
@0
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
1.0ms
a1
@0
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
1.0ms
a1
@inf
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
1.0ms
a2
@inf
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
Compiler

Compiled 1516 to 1212 computations (20.1% saved)

rewrite57.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
603×log-prod_binary64
598×prod-diff_binary64
339×pow2_binary64
241×fma-def_binary64
234×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01332
127529
2341629
Stop Event
1×node limit
Counts
2 → 54
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 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 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a1 a2)) (pow.f64 2 -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) (*.f64 (sqrt.f64 1/2) 1/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))))) (#(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 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))))) (#(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 1/2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (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 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))))) (#(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 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 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)) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a1 a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (cos.f64 th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 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 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 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 a1 a2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))

simplify73.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
687×log-prod_binary64
509×unswap-sqr_binary64
439×distribute-rgt-in_binary64
426×distribute-lft-in_binary64
206×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02112417
15562197
219542122
360392120
Stop Event
1×node limit
Counts
126 → 144
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 th 6) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (*.f64 1/24 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(*.f64 (pow.f64 a2 2) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)))
(*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))
(+.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)) (*.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 -1/720 (*.f64 (pow.f64 th 6) (+.f64 (pow.f64 a2 2) (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 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 1)
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a1 a2)) (pow.f64 2 -1/4)) 2)
(pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) (*.f64 (sqrt.f64 1/2) 1/2)) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.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) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))) 1)
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) 3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a1 a2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (cos.f64 th) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) 1))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
Outputs
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (pow.f64 (/.f64 -1 a1) -2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (pow.f64 (/.f64 -1 a1) -2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (pow.f64 (/.f64 -1 a1) -2))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (pow.f64 (/.f64 -1 a1) -2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (pow.f64 (/.f64 -1 a1) -2))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (pow.f64 (/.f64 -1 a1) -2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (pow.f64 (/.f64 -1 a1) -2))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th)))
(*.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (*.f64 a2 (cos.f64 th)) (*.f64 a2 (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 a1 2) (cos.f64 th))) (*.f64 (pow.f64 2 -1/2) (*.f64 (pow.f64 (/.f64 -1 a2) -2) (cos.f64 th))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 th (*.f64 th (fma.f64 a2 a2 (*.f64 a1 a1))))) (*.f64 (pow.f64 2 -1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 th th)) 1) (fma.f64 a2 a2 (*.f64 a1 a1))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2) 1/2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 2)))
(fabs.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2))))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3) 1/3)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 3)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a1 a2)) (pow.f64 2 -1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4))) 2)
(*.f64 (pow.f64 2 -1/2) (pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (cos.f64 th))) 2))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3)) 1/3)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) (*.f64 (sqrt.f64 1/2) 1/2)) 1/3)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) 2)))
(fabs.f64 (*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.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) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))) 3))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))) 1))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)))
(+.f64 0 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(+.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (*.f64 (cos.f64 th) (*.f64 a2 a2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cos.f64 th)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(*.f64 (/.f64 (cos.f64 th) (+.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 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))) (cos.f64 th))
(/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (cos.f64 th)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 a1 a2)))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))
(/.f64 (*.f64 (cos.f64 th) (+.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 (cos.f64 th) (+.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 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))) (cos.f64 th))
(/.f64 (*.f64 (cos.f64 th) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 (cos.f64 th) (+.f64 a2 a1)) (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 a1 a2)))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2) 1/2)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3) 1/3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) 3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a1 a2)) 2)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (cos.f64 th) 3)) 1/3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)) 1/3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 2))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) 3))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) 1))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))
(fma.f64 (*.f64 a1 a1) (cos.f64 th) (*.f64 (*.f64 a2 a2) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (*.f64 a2 a2) (cos.f64 th) (*.f64 (*.f64 a1 a1) (cos.f64 th)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 a1 a1) (*.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (*.f64 a2 a2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (fma.f64 a2 a2 (*.f64 a1 a1)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts
2 → 12
Calls

6 calls:

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

Compiled 232 to 208 computations (10.3% saved)

rewrite43.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
618×pow1_binary64
576×add-log-exp_binary64
576×log1p-expm1-u_binary64
576×expm1-log1p-u_binary64
564×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
112715
2156615
Stop Event
1×node limit
Counts
2 → 50
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 (+.f64 1 (/.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 (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 (cbrt.f64 a2) 2) (*.f64 (cbrt.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 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))))) (#(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 (pow.f64 2 -1/2) a2)))) (#(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 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))))) (#(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 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.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 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(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 pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)))) (#(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 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)))) (#(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 (/.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 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 log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.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 (neg.f64 (*.f64 a2 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 a2 (neg.f64 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) (cbrt.f64 2)) (cbrt.f64 (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 pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)))) (#(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 pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)))) (#(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 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 log1p.f64 (expm1.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)))))))))

simplify46.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
651×log-div_binary64
650×fma-def_binary64
432×unswap-sqr_binary64
417×associate-/l*_binary64
365×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0125663
1292597
21043537
36145537
Stop Event
1×node limit
Counts
62 → 68
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 (/.f64 1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(-.f64 (+.f64 1 (/.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 (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 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 2 1/4)))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(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))))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(-.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
Outputs
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a2) -2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(*.f64 1 (/.f64 a2 (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 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 (/.f64 a2 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 (/.f64 a2 2) a2)))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (cbrt.f64 (*.f64 a2 (/.f64 a2 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 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) (sqrt.f64 (/.f64 a2 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.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 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) a2)
(*.f64 a2 (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a2 (sqrt.f64 2))))
(*.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (cbrt.f64 2)))
(/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a2 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.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 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (/.f64 a2 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a2 (sqrt.f64 2))) 3)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a2 (sqrt.f64 2))) 2)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a2) -1)
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(neg.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a2 a2) 2))
(sqrt.f64 (/.f64 a2 (/.f64 2 a2)))
(sqrt.f64 (*.f64 (/.f64 a2 2) a2))
(sqrt.f64 (*.f64 a2 (/.f64 a2 2)))
(log.f64 (exp.f64 (/.f64 a2 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) 3))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a2 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a2 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a2 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a2 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a2 (sqrt.f64 2)) 0)
(/.f64 a2 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 (neg.f64 a2) a2) (neg.f64 (sqrt.f64 2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (*.f64 a2 (neg.f64 a2)) (neg.f64 (sqrt.f64 2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) 1) (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 a2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 1)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3) 1/3)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))) 3)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(sqrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log.f64 (pow.f64 (exp.f64 a2) (/.f64 a2 (sqrt.f64 2))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) 3))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(exp.f64 (log.f64 (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

localize12.0ms (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)

series2.0ms (0%)

Counts
2 → 12
Calls

3 calls:

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

Compiled 136 to 124 computations (8.8% saved)

rewrite42.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
648×pow1_binary64
601×add-log-exp_binary64
601×log1p-expm1-u_binary64
601×expm1-log1p-u_binary64
586×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0815
116112
2181112
Stop Event
1×node limit
Counts
2 → 45
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (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 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(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 *.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -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 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)))) (#(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 (sqrt.f64 (sqrt.f64 1/2)) 2)))) (#(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 cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 -.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 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) (pow.f64 (cbrt.f64 a1) 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 /.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) 1) (sqrt.f64 2))))) (#(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 (*.f64 -1 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(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 pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(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 (sqrt.f64 1/2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 a1 a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 (sqrt.f64 1/2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))))

simplify45.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
496×distribute-rgt-in_binary64
472×distribute-lft-in_binary64
452×fma-def_binary64
448×log-prod_binary64
431×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0112604
1258522
2961444
34004442
Stop Event
1×node limit
Counts
57 → 68
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 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) 1)
(*.f64 1 (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) 1)
(*.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(pow.f64 (sqrt.f64 1/2) 1)
(pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(sqrt.f64 1/2)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 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) (pow.f64 (cbrt.f64 a1) 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (*.f64 -1 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 a1 a1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.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 (sqrt.f64 2)) a1)
(/.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 (sqrt.f64 2)) a1)
(/.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 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (pow.f64 (/.f64 -1 a1) -2) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(*.f64 1 (sqrt.f64 1/2))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(*.f64 (sqrt.f64 1/2) 1)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(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 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2))
(*.f64 (sqrt.f64 (sqrt.f64 1/2)) (sqrt.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 2))))
(/.f64 -1 (neg.f64 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(*.f64 (pow.f64 (cbrt.f64 2) -1) (pow.f64 (cbrt.f64 (sqrt.f64 2)) -1))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 1 (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(*.f64 (pow.f64 (pow.f64 2 1/4) -1) (pow.f64 (pow.f64 2 1/4) -1))
(pow.f64 (pow.f64 2 1/4) -2)
(pow.f64 2 -1/2)
(pow.f64 (sqrt.f64 2) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 2)))
(/.f64 1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 1/2) 1)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(pow.f64 (*.f64 (sqrt.f64 1/2) 1/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 1/2)) 3)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 1/2)) 2)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(sqrt.f64 1/2)
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(log.f64 (exp.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(cbrt.f64 (*.f64 (sqrt.f64 1/2) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(expm1.f64 (log1p.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(exp.f64 (log.f64 (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (sqrt.f64 1/2) 1))
(+.f64 (sqrt.f64 1/2) 0)
(sqrt.f64 1/2)
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.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) (pow.f64 (cbrt.f64 a1) 2)))
(*.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.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 (sqrt.f64 2)) a1)
(/.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 (sqrt.f64 2)) a1)
(/.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 a1) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(/.f64 (*.f64 a1 a1) (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (*.f64 -1 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) -1) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a1 a1)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (pow.f64 2 3/2)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 a1 a1) 3)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a1) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 0)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -1/2 (*.f64 th th))
0.0b
(+.f64 (*.f64 a1 a1) (*.f64 a2 a2))
✓0.1b
(*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
✓4.1b
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 70 to 36 computations (48.6% saved)

series25.0ms (0.2%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
3.0ms
a2
@-inf
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
th
@inf
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
a2
@inf
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
a1
@0
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
2.0ms
th
@0
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
Compiler

Compiled 1472 to 1312 computations (10.9% saved)

rewrite72.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
796×log-prod_binary64
624×fma-def_binary64
281×expm1-udef_binary64
281×log1p-udef_binary64
237×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01649
135042
2471242
Stop Event
1×node limit
Counts
3 → 160
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 -1/2 (*.f64 th th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) 1) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 1/2)) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) 3) (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))) 3)) (fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)))) (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))) (-.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 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)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))) (exp.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 3) (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) (pow.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (*.f64 th th)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 th th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 th 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 -1/2 (*.f64 th th) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -1/8 (pow.f64 (*.f64 th th) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 1/2 (*.f64 th th))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th)))) -1)))))

simplify99.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
530×associate-*l*_binary64
500×associate-*r*_binary64
381×cancel-sign-sub-inv_binary64
292×distribute-rgt-neg-in_binary64
276×fma-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04485979
112285116
247444807
Stop Event
1×node limit
Counts
220 → 280
Calls
Call 1
Inputs
(*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 -1/2 (*.f64 (pow.f64 (/.f64 -1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 -1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 -1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))) (*.f64 -1/2 (*.f64 (pow.f64 (/.f64 -1 th) -2) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a1) -2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 -1 a1) -2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2)))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a1 2))) (*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 a2 2))))
(*.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 th 2))) (*.f64 (pow.f64 2 -1/2) (pow.f64 (/.f64 1 a2) -2)))
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(fma.f64 (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a1) (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a2) (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 a1 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 a1 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a1 a1) (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (*.f64 a2 a2) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(+.f64 0 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))
(+.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2))) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))) 1)
(/.f64 (fma.f64 (sqrt.f64 1/2) 1/2 (pow.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 3)) (+.f64 1/2 (-.f64 (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))))))
(/.f64 (-.f64 1/2 (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))) (-.f64 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))))
(/.f64 (*.f64 (fma.f64 -1/8 (pow.f64 (*.f64 th th) 3) 1) (sqrt.f64 1/2)) (+.f64 1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4))) (sqrt.f64 1/2)) (+.f64 1 (*.f64 1/2 (*.f64 th th))))
(/.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (pow.f64 (*.f64 th th) 3) 1)) (+.f64 1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 1/2 (*.f64 th th)))))
(/.f64 (*.f64 (sqrt.f64 1/2) (-.f64 1 (*.f64 1/4 (pow.f64 th 4)))) (+.f64 1 (*.f64 1/2 (*.f64 th th))))
(pow.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 1)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) 3)
(pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1/2))) (exp.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (exp.f64 (sqrt.f64 1/2))))
(log.f64 (*.f64 (exp.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (+.f64 1 (expm1.f64 (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) 3))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 th th) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (sqrt.f64 1/2) 1 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 (sqrt.f64 1/2) 1 (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 (sqrt.f64 1/2) (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2))
(fma.f64 1 (sqrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 1 (sqrt.f64 1/2) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 1 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 th 4))) (*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 (sqrt.f64 1/2)) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) 1) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) 1) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (*.f64 th (sqrt.f64 -1/2)) (*.f64 (*.f64 th (sqrt.f64 -1/2)) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (pow.f64 2 -1/4) (pow.f64 2 -1/4) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 (pow.f64 2 -1/4) (pow.f64 2 -1/4) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) 1) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) 1) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 th) (*.f64 th (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(fma.f64 (*.f64 (pow.f64 2 -1/4) (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 1/2))
(fma.f64 (*.f64 (*.f64 th (sqrt.f64 -1/2)) (pow.f64 2 -1/4)) (*.f64 (*.f64 th (sqrt.f64 -1/2)) (pow.f64 2 -1/4)) (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) -1/2) (*.f64 th th) (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) -1/2 (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 1/4 (pow.f64 th 4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 th (sqrt.f64 -1/2))) (*.f64 th (sqrt.f64 -1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1/2 th)) th (sqrt.f64 1/2))
(fma.f64 (*.f64 (*.f64 -1/2 (*.f64 th th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 (*.f64 -1/2 (*.f64 th th)) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (sqrt.f64 1/2))
(+.f64 0 (*.f64 -1/2 (*.f64 th th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(pow.f64 (*.f64 -1/2 (*.f64 th th)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 3)
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 th 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 th th)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(fma.f64 1 (fma.f64 -1/2 (*.f64 th th) 1) -1)
(fma.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) -1)
(fma.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 -1/8 (pow.f64 (*.f64 th th) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 1/2 (*.f64 th th))))) -1)
(fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th)))) -1)
Outputs
(*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 -1/2 (*.f64 th th) 1))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (pow.f64 2 -1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))))
(fma.f64 -1/2 (*.f64 (pow.f64 2 -1/2) (*.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (*.f64 th th))) (*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(*.f64 (*.f64 (pow.f64 2 -1/2) (fma.f64 a1 a1 (*.f64 a2 a2))) (fma.f64 -1/2 (*.f64 th th) 1))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2)) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))) (*.f64 a2 (*.f64 a2 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))) (*.f64 a1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 a1 a1)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(+.f64 (*.f64 a1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 (sqrt.f64 1/2)))) (*.f64 (*.f64 a2 a2) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))) 1 (*.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))) 1))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)))) (sqrt.f64 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a1) (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a1) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a2) (*.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) a2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(+.f64 (*.f64 a1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 (sqrt.f64 1/2)))) (*.f64 (*.f64 a2 a2) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 a1 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 a1 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 a2 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) a2))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(+.f64 (*.f64 a1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 (sqrt.f64 1/2)))) (*.f64 (*.f64 a2 a2) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 (*.f64 a1 a1) (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1)) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) a1) a1 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 (cbrt.f64 a1) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (cbrt.f64 a1) 2))) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) a2) a2 (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (fma.f64 a1 a1 (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)) (pow.f64 (cbrt.f64 a2) 2)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (cbrt.f64 a2) 2))) (*.f64 a1 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 (sqrt.f64 1/2)))))
(fma.f64 (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))) (*.f64 (*.f64 a1 a1) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))) (*.f64 a1 (*.f64 a1 (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))))) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(fma.f64 (*.f64 (*.f64 a1 a1) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4))) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2))))
(fma.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) (*.f64 a1 a1))) (*.f64 (sqrt.f64 1/2) (*.f64 a2 (*.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))))
(+.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) (*.f64 (*.f64 a1 a1) (pow.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 -1/4)) 2)))
(fma.f64 (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2) 1/2))) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
(fma.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))) (*.f64 (*.f64 a2 a2) (cbrt.f64 (*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1)))) (*.f64 (sqrt.f64 1/2) (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1))))
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(fma.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 1/2) (*.f64 -1/2 (*.f64 th (*.f64 th (sqrt.f64 1/2)))))
(fma.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (sqrt.f64 1/2)) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (cbrt.f64 1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (cbrt.f64 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 th (sqrt.f64 -1/2)) (*.f64 (*.f64 th (sqrt.f64 -1/2)) (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (pow.f64 2 -1/4) (pow.f64 2 -1/4) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(+.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2)))
(+.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th (*.f64 th (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 2 -1/4) (pow.f64 2 -1/4) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(+.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2)))
(+.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th (*.f64 th (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) 1) (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))
(+.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2)))
(+.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th (*.f64 th (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) 1) (*.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))) 1))
(+.f64 (pow.f64 2 -1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2)))
(+.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th (*.f64 th (sqrt.f64 1/2)))))
(fma.f64 (pow.f64 2 -1/4) (*.f64 (pow.f64 2 -1/4) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (pow.f64 2 -1/4) (*.f64 -1/2 (*.f64 (*.f64 th th) (pow.f64 2 -1/4))) (sqrt.f64 1/2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 th) (*.f64 th (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (cbrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2))))) (cbrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 (*.f64 th th) (*.f64 -1/2 (sqrt.f64 1/2)))) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (*.f64 (pow.f64 2 -1/4) (*.f64 th (sqrt.f64 -1/2))) (*.f64 (pow.f64 2 -1/4) (*.f64 th (sqrt.f64 -1/2))) (sqrt.f64 1/2))
(fma.f64 (pow.f64 2 -1/4) (*.f64 -1/2 (*.f64 (*.f64 th th) (pow.f64 2 -1/4))) (sqrt.f64 1/2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (*.f64 (*.f64 th (sqrt.f64 -1/2)) (pow.f64 2 -1/4)) (*.f64 (*.f64 th (sqrt.f64 -1/2)) (pow.f64 2 -1/4)) (sqrt.f64 1/2))
(fma.f64 (pow.f64 2 -1/4) (*.f64 -1/2 (*.f64 (*.f64 th th) (pow.f64 2 -1/4))) (sqrt.f64 1/2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) -1/2) (*.f64 th th) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 th th)) -1/2 (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 1/4 (pow.f64 th 4)))) (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 th 4))) (*.f64 (sqrt.f64 1/2) (cbrt.f64 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 1/2))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 th (sqrt.f64 -1/2))) (*.f64 th (sqrt.f64 -1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (*.f64 (sqrt.f64 1/2) (*.f64 -1/2 th)) th (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 th th)) (sqrt.f64 1/2) (sqrt.f64 1/2))
(*.f64 (sqrt.f64 1/2) (fma.f64 -1/2 (*.f64 th th) 1))
(fma.f64 (*.f64 (*.f64 -1/2 (*.f64 th th)) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (cbrt.f64 1/2) (*.f64 (*.f64 -1/2 (*.f64 th th)) (cbrt.f64 (sqrt.f64 1/2))) (sqrt.f64 1/2))
(fma.f64 (*.f64 -1/2 (*.f64 (*.f64 th th) (cbrt.f64 1/2))) (cbrt.f64 (sqrt.f64 1/2)) (sqrt.f64 1/2))
(fma.f64 (*.f64 (*.f64 -1/2 (*.f64 th th)) (pow.f64 2 -1/4)) (pow.f64 2 -1/4) (sqrt.f64 1/2))
(fma.f64 (pow.f64 2 -1/4) (*.f64 -1/2 (*.f64 (*.f64 th th) (pow.f64 2 -1/4))) (sqrt.f64 1/2))
(+.f64 (*.f64 (pow.f64 2 -1/2) (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 1/2))
(+.f64 0 (*.f64 -1/2 (*.f64 th th)))
(*.f64 -1/2 (*.f64 th th))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 th) (*.f64 -1/2 th))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 th) (*.f64 -1/2 th)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))))
(*.f64 -1/2 (*.f64 th th))
(-.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)
(*.f64 -1/2 (*.f64 th th))
(pow.f64 (*.f64 -1/2 (*.f64 th th)) 1)
(*.f64 -1/2 (*.f64 th th))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 3)
(*.f64 -1/2 (*.f64 th th))
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 th th))
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)) 1/3)
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 th 6)))
(sqrt.f64 (*.f64 1/4 (pow.f64 th 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))
(*.f64 -1/2 (*.f64 th th))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 th th)))))
(*.f64 -1/2 (*.f64 th th))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 th th) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 th 6)))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))
(*.f64 -1/2 (*.f64 th th))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(*.f64 -1/2 (*.f64 th th))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 th th))))
(*.f64 -1/2 (*.f64 th th))
(exp.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))))
(*.f64 -1/2 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))) 1))
(*.f64 -1/2 (*.f64 th th))
(fma.f64 1 (fma.f64 -1/2 (*.f64 th th) 1) -1)
(*.f64 -1/2 (*.f64 th th))
(fma.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1 -1)
(*.f64 -1/2 (*.f64 th th))
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2)) -1)
(fma.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) -1)
(fma.f64 (fma.f64 -1/8 (pow.f64 (*.f64 th th) 3) 1) (/.f64 1 (+.f64 1 (fma.f64 1/4 (pow.f64 th 4) (*.f64 1/2 (*.f64 th th))))) -1)
(fma.f64 (fma.f64 -1/8 (pow.f64 th 6) 1) (/.f64 1 (+.f64 (*.f64 1/4 (pow.f64 th 4)) (fma.f64 1/2 (*.f64 th th) 1))) -1)
(+.f64 -1 (/.f64 (fma.f64 -1/8 (pow.f64 th 6) 1) (+.f64 (*.f64 1/4 (pow.f64 th 4)) (fma.f64 1/2 (*.f64 th th) 1))))
(fma.f64 (-.f64 1 (*.f64 1/4 (pow.f64 th 4))) (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th)))) -1)
(fma.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 th 4))) (/.f64 1 (fma.f64 1/2 (*.f64 th th) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (*.f64 -1/4 (pow.f64 th 4))) (fma.f64 1/2 (*.f64 th th) 1)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 th)
✓0.1b
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
0.2b
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
0.4b
(/.f64 a1 (sqrt.f64 2))
Compiler

Compiled 29 to 19 computations (34.5% saved)

series6.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

Compiled 394 to 338 computations (14.2% saved)

rewrite45.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
932×pow1_binary64
862×add-log-exp_binary64
862×log1p-expm1-u_binary64
862×expm1-log1p-u_binary64
843×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
118714
2233114
Stop Event
1×node limit
Counts
1 → 18
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (pow.f64 2 1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 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 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))))))

simplify45.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
673×times-frac_binary64
491×distribute-rgt-in_binary64
468×distribute-lft-in_binary64
406×fma-def_binary64
368×log-prod_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094679
1246679
2834679
33483678
Stop Event
1×node limit
Counts
42 → 44
Calls
Call 1
Inputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (+.f64 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))) 1)
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(/.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))) 3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (pow.f64 2 1/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (cos.f64 th))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
(exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 (/.f64 -1 a1) -2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (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 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 th (*.f64 (*.f64 a1 a1) th))))
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (*.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (*.f64 1/24 (*.f64 a1 (*.f64 a1 (pow.f64 th 4)))) (sqrt.f64 2))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (*.f64 1/24 (*.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (*.f64 a1 a1)))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (*.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 th (*.f64 (*.f64 a1 a1) th)))))
(+.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 (*.f64 -1/720 (/.f64 (*.f64 (pow.f64 th 6) (pow.f64 a1 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (*.f64 th th))) (fma.f64 1/24 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))
(fma.f64 -1/2 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 th th)) (fma.f64 1/24 (*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (pow.f64 th 4)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 -1/720 (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 6)))))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 1/24 (*.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 -1/720 (/.f64 (*.f64 a1 (*.f64 a1 (pow.f64 th 6))) (sqrt.f64 2))))))
(fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (fma.f64 -1/2 (*.f64 (*.f64 th th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (*.f64 a1 (+.f64 (/.f64 (*.f64 -1/720 (pow.f64 th 6)) (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (sqrt.f64 2))))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(-.f64 (+.f64 1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))) 1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 (*.f64 a1 (cos.f64 th))) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (neg.f64 a1) (*.f64 a1 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 1)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(pow.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 3) 1/3)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))) 3)
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a1 (pow.f64 2 1/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(log.f64 (pow.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))) (*.f64 a1 (cos.f64 th))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th))) 3))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(exp.f64 (log.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))

eval313.0ms (2.1%)

Compiler

Compiled 17804 to 10826 computations (39.2% saved)

prune224.0ms (1.5%)

Pruning

42 alts after pruning (32 fresh and 10 done)

PrunedKeptTotal
New9077914
Fresh42529
Picked011
Done1910
Total91242954
Error
0b
Counts
954 → 42
Alt Table
Click to see full alt table
StatusErrorProgram
39.2b
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
✓38.2b
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
44.7b
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
✓22.9b
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
42.2b
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
28.1b
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
39.2b
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
26.8b
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
38.1b
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
27.0b
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
39.1b
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
38.1b
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
39.2b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
38.1b
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
38.1b
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
✓0.4b
(*.f64 (pow.f64 2 -1/2) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cos.f64 th)))
39.1b
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
28.2b
(*.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓0.5b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓26.8b
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))
✓39.2b
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
26.8b
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))
✓38.1b
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
23.0b
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
✓38.2b
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
41.2b
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
26.8b
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
38.1b
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
41.2b
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
✓26.8b
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
38.2b
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
53.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
22.9b
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
38.1b
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
28.2b
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
28.1b
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
✓28.2b
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
28.2b
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
28.1b
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))
28.2b
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
26.8b
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
44.8b
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
Compiler

Compiled 506 to 391 computations (22.7% saved)

regimes235.0ms (1.6%)

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

9 calls:

30.0ms
a2
29.0ms
th
29.0ms
a1
25.0ms
(+.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))
22.0ms
(/.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(/.f64 (cos.f64 th) (sqrt.f64 2))
0.4b1(cos.f64 th)
0.4b1(*.f64 a1 a1)
0.4b1(*.f64 a2 a2)
Compiler

Compiled 739 to 418 computations (43.4% saved)

regimes179.0ms (1.2%)

Counts
53 → 1
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (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 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Outputs
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
Calls

8 calls:

27.0ms
a1
26.0ms
a2
24.0ms
th
20.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
19.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
0.4b1a1
0.4b1a2
0.4b1th
0.4b1(/.f64 (cos.f64 th) (sqrt.f64 2))
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 562 to 324 computations (42.3% saved)

regimes162.0ms (1.1%)

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

7 calls:

29.0ms
a1
25.0ms
a2
25.0ms
th
19.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
19.0ms
(cos.f64 th)
Results
ErrorSegmentsBranch
0.5b1a1
0.5b1a2
0.5b1th
0.5b1(/.f64 (cos.f64 th) (sqrt.f64 2))
0.5b1(cos.f64 th)
0.5b1(*.f64 a1 a1)
0.5b1(*.f64 a2 a2)
Compiler

Compiled 541 to 313 computations (42.1% saved)

regimes668.0ms (4.4%)

Counts
50 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (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 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))
(*.f64 (cos.f64 th) (*.f64 (*.f64 a2 a2) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
Outputs
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))
Calls

11 calls:

120.0ms
th
108.0ms
a2
58.0ms
(*.f64 a2 a2)
57.0ms
(*.f64 a2 a2)
48.0ms
(cos.f64 th)
Results
ErrorSegmentsBranch
7.4b2a1
7.2b3a2
7.2b6th
11.1b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.1b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.1b3(cos.f64 th)
11.1b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.5b4(*.f64 a2 a2)
9.5b4(*.f64 a2 a2)
Compiler

Compiled 540 to 319 computations (40.9% saved)

bsearch45.0ms (0.3%)

Algorithm
2×binary-search
Steps
TimeLeftRight
17.0ms
5.4357422503684687e-42
1.0175359777285636e-41
28.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
19.0ms118×body256valid
17.0ms38×body1024valid
6.0ms20×body512valid
Compiler

Compiled 318 to 233 computations (26.7% saved)

regimes594.0ms (3.9%)

Counts
46 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (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 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
Outputs
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
Calls

11 calls:

115.0ms
th
77.0ms
a2
52.0ms
(*.f64 a2 a2)
51.0ms
(*.f64 a2 a2)
44.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
7.5b2a1
7.2b3a2
7.2b6th
11.1b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.1b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.1b3(cos.f64 th)
11.1b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.5b4(*.f64 a2 a2)
9.5b4(*.f64 a2 a2)
Compiler

Compiled 500 to 298 computations (40.4% saved)

bsearch63.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
35.0ms
6.195574097221892e-46
5.4357422503684687e-42
28.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
27.0ms155×body256valid
25.0ms59×body1024valid
7.0ms26×body512valid
Compiler

Compiled 418 to 305 computations (27% saved)

regimes594.0ms (3.9%)

Counts
45 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(*.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 a1 (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 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
Outputs
(*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
Calls

11 calls:

108.0ms
th
94.0ms
a2
51.0ms
(*.f64 a2 a2)
51.0ms
(*.f64 a2 a2)
43.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
7.5b2a1
7.2b3a2
7.2b6th
11.1b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.1b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.1b3(cos.f64 th)
11.1b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.5b4(*.f64 a2 a2)
9.5b4(*.f64 a2 a2)
Compiler

Compiled 491 to 294 computations (40.1% saved)

bsearch62.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
31.0ms
6.195574097221892e-46
5.4357422503684687e-42
30.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
26.0ms163×body256valid
25.0ms57×body1024valid
6.0ms20×body512valid
Compiler

Compiled 433 to 320 computations (26.1% saved)

regimes512.0ms (3.4%)

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

11 calls:

98.0ms
th
74.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
60.0ms
a2
42.0ms
(*.f64 a2 a2)
40.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
7.5b2a1
7.2b3a2
7.3b6th
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(cos.f64 th)
11.2b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.5b4(*.f64 a2 a2)
9.5b4(*.f64 a2 a2)
Compiler

Compiled 401 to 251 computations (37.4% saved)

bsearch55.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
30.0ms
6.195574097221892e-46
5.4357422503684687e-42
25.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
29.0ms178×body256valid
18.0ms42×body1024valid
6.0ms20×body512valid
Compiler

Compiled 433 to 320 computations (26.1% saved)

regimes458.0ms (3%)

Counts
34 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
Outputs
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
Calls

11 calls:

86.0ms
th
59.0ms
a2
41.0ms
(*.f64 a2 a2)
39.0ms
(*.f64 a2 a2)
37.0ms
(cos.f64 th)
Results
ErrorSegmentsBranch
7.5b2a1
7.2b3a2
7.3b6th
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(cos.f64 th)
11.2b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.5b4(*.f64 a2 a2)
9.5b4(*.f64 a2 a2)
Compiler

Compiled 392 to 246 computations (37.2% saved)

bsearch62.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
33.0ms
6.195574097221892e-46
5.4357422503684687e-42
30.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
27.0ms60×body1024valid
26.0ms161×body256valid
5.0ms19×body512valid
Compiler

Compiled 433 to 320 computations (26.1% saved)

regimes439.0ms (2.9%)

Counts
33 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
Outputs
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))
Calls

11 calls:

84.0ms
th
56.0ms
a2
39.0ms
(*.f64 a2 a2)
39.0ms
(*.f64 a2 a2)
32.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
7.5b2a1
7.3b3a2
7.3b6th
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(cos.f64 th)
11.2b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.6b4(*.f64 a2 a2)
9.6b4(*.f64 a2 a2)
Compiler

Compiled 383 to 241 computations (37.1% saved)

bsearch63.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
6.195574097221892e-46
5.4357422503684687e-42
31.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
29.0ms65×body1024valid
25.0ms155×body256valid
6.0ms20×body512valid
Compiler

Compiled 433 to 320 computations (26.1% saved)

regimes423.0ms (2.8%)

Counts
32 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Outputs
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
Calls

11 calls:

80.0ms
th
55.0ms
a2
38.0ms
(*.f64 a2 a2)
37.0ms
(*.f64 a2 a2)
32.0ms
(/.f64 (cos.f64 th) (sqrt.f64 2))
Results
ErrorSegmentsBranch
7.5b2a1
7.3b3a2
7.3b6th
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(/.f64 (cos.f64 th) (sqrt.f64 2))
11.2b3(cos.f64 th)
11.2b3(cos.f64 th)
12.1b2(*.f64 a1 a1)
12.1b2(*.f64 a1 a1)
9.6b4(*.f64 a2 a2)
9.6b4(*.f64 a2 a2)
Compiler

Compiled 374 to 236 computations (36.9% saved)

bsearch59.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
32.0ms
6.195574097221892e-46
5.4357422503684687e-42
27.0ms
2.2729402104295545e-134
2.4413363173565993e-132
Results
28.0ms172×body256valid
21.0ms45×body1024valid
7.0ms23×body512valid
Compiler

Compiled 433 to 320 computations (26.1% saved)

regimes317.0ms (2.1%)

Counts
31 → 3
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (-.f64 (+.f64 1 (*.f64 a1 a1)) 1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a2 (/.f64 (*.f64 a2 (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2)))
(*.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (+.f64 1 (*.f64 -1/2 (*.f64 th th))))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 (*.f64 (*.f64 a2 a2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (*.f64 a1 a1))
(*.f64 (/.f64 (+.f64 1 (*.f64 -1/2 (*.f64 th th))) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (*.f64 (pow.f64 2 -1/2) (+.f64 1 (*.f64 -1/2 (*.f64 th th)))) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 1 a1) -4) 2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(/.f64 (pow.f64 (/.f64 1 a1) -2) (sqrt.f64 2))
(/.f64 (pow.f64 (/.f64 1 a2) -2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Outputs
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
Calls

8 calls:

66.0ms
(*.f64 a2 a2)
65.0ms
th
56.0ms
a2
36.0ms
(cos.f64 th)
28.0ms
a1
Results
ErrorSegmentsBranch
15.0b2a1
14.8b2a2
12.5b3th
12.5b2(cos.f64 th)
12.5b2(cos.f64 th)
16.7b2(*.f64 a1 a1)
16.7b2(*.f64 a1 a1)
14.9b4(*.f64 a2 a2)
Compiler

Compiled 343 to 213 computations (37.9% saved)

bsearch59.0ms (0.4%)

Algorithm
2×binary-search
Steps
TimeLeftRight
16.0ms
32394496.405761834
98189686.16512813
42.0ms
-0.00019863265298862066
-2.2491534992613237e-17
Results
55.0ms240×body256valid
Compiler

Compiled 433 to 320 computations (26.1% saved)

regimes73.0ms (0.5%)

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

5 calls:

16.0ms
th
15.0ms
a1
15.0ms
a2
10.0ms
(*.f64 a2 a2)
9.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
22.9b1a1
22.9b1a2
22.9b1th
22.9b1(*.f64 a1 a1)
22.9b1(*.f64 a2 a2)
Compiler

Compiled 318 to 195 computations (38.7% saved)

regimes89.0ms (0.6%)

Counts
13 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2)) a1)
(*.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 a1 a1))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
Outputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
(*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1)
(*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))
Calls

5 calls:

28.0ms
a2
21.0ms
th
14.0ms
a1
12.0ms
(*.f64 a1 a1)
9.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
26.5b2a1
26.0b4a2
33.6b3th
28.5b2(*.f64 a1 a1)
29.4b2(*.f64 a2 a2)
Compiler

Compiled 115 to 75 computations (34.8% saved)

bsearch100.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
34.0ms
4.204125763592496e-60
6.263081879316941e-56
28.0ms
6.808414507124134e-120
7.818593825952132e-118
38.0ms
7.4663191542435486e-152
2.476019840211084e-144
Results
43.0ms95×body1024valid
42.0ms267×body256valid
8.0ms22×body512valid
Compiler

Compiled 547 to 443 computations (19% saved)

regimes78.0ms (0.5%)

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

6 calls:

20.0ms
a2
18.0ms
th
14.0ms
a1
10.0ms
(*.f64 a1 a1)
8.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
26.5b2a1
26.0b4a2
33.6b3th
28.5b2(*.f64 a1 a1)
29.4b2(*.f64 a2 a2)
29.4b2(*.f64 a2 a2)
Compiler

Compiled 82 to 56 computations (31.7% saved)

bsearch103.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
32.0ms
4.204125763592496e-60
6.263081879316941e-56
32.0ms
6.808414507124134e-120
7.818593825952132e-118
38.0ms
7.4663191542435486e-152
2.476019840211084e-144
Results
49.0ms103×body1024valid
36.0ms238×body256valid
12.0ms43×body512valid
Compiler

Compiled 523 to 419 computations (19.9% saved)

regimes69.0ms (0.5%)

Counts
7 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
Outputs
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

6 calls:

20.0ms
a2
14.0ms
th
10.0ms
(*.f64 a1 a1)
9.0ms
a1
7.0ms
(*.f64 a2 a2)
Results
ErrorSegmentsBranch
26.5b2a1
26.0b4a2
33.6b3th
28.5b2(*.f64 a1 a1)
29.4b2(*.f64 a2 a2)
29.4b2(*.f64 a2 a2)
Compiler

Compiled 75 to 51 computations (32% saved)

bsearch100.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
34.0ms
4.204125763592496e-60
6.263081879316941e-56
30.0ms
1.6237979464953404e-93
5.199513902518277e-91
35.0ms
7.4663191542435486e-152
2.476019840211084e-144
Results
47.0ms283×body256valid
34.0ms74×body1024valid
14.0ms43×body512valid
Compiler

Compiled 528 to 420 computations (20.5% saved)

regimes61.0ms (0.4%)

Counts
5 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Outputs
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
Calls

5 calls:

21.0ms
a2
12.0ms
th
9.0ms
(*.f64 a1 a1)
9.0ms
a1
8.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
26.5b2a1
26.1b4a2
33.6b3th
28.5b2(*.f64 a1 a1)
28.5b2(*.f64 a1 a1)
Compiler

Compiled 57 to 40 computations (29.8% saved)

bsearch100.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
32.0ms
4.204125763592496e-60
6.263081879316941e-56
30.0ms
6.808414507124134e-120
7.818593825952132e-118
37.0ms
7.4663191542435486e-152
2.476019840211084e-144
Results
41.0ms91×body1024valid
39.0ms240×body256valid
15.0ms53×body512valid
Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes51.0ms (0.3%)

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

5 calls:

14.0ms
a2
11.0ms
th
9.0ms
a1
8.0ms
(*.f64 a1 a1)
7.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
26.6b2a1
26.1b4a2
33.6b3th
28.6b2(*.f64 a1 a1)
28.6b2(*.f64 a1 a1)
Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch109.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
37.0ms
4.204125763592496e-60
6.263081879316941e-56
33.0ms
6.808414507124134e-120
7.818593825952132e-118
39.0ms
7.4663191542435486e-152
2.476019840211084e-144
Results
51.0ms97×body1024valid
43.0ms251×body256valid
10.0ms36×body512valid
Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes49.0ms (0.3%)

Counts
3 → 4
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
Outputs
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
Calls

5 calls:

15.0ms
a2
13.0ms
th
7.0ms
(*.f64 a1 a1)
7.0ms
(*.f64 a1 a1)
6.0ms
a1
Results
ErrorSegmentsBranch
26.6b2a1
26.1b4a2
33.7b3th
28.6b2(*.f64 a1 a1)
28.6b2(*.f64 a1 a1)
Compiler

Compiled 45 to 32 computations (28.9% saved)

bsearch106.0ms (0.7%)

Algorithm
3×binary-search
Steps
TimeLeftRight
35.0ms
4.204125763592496e-60
6.263081879316941e-56
30.0ms
6.808414507124134e-120
7.818593825952132e-118
40.0ms
7.4663191542435486e-152
2.476019840211084e-144
Results
48.0ms260×body256valid
41.0ms85×body1024valid
11.0ms39×body512valid
Compiler

Compiled 508 to 404 computations (20.5% 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 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
Outputs
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
Calls

4 calls:

3.0ms
a1
3.0ms
th
3.0ms
a2
2.0ms
(*.f64 a1 a1)
Results
ErrorSegmentsBranch
38.1b1a1
38.1b1a2
38.1b1th
38.1b1(*.f64 a1 a1)
Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
22×*-commutative_binary64
1×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154859
1178859
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.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 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 3733711162131537/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (if (<=.f64 a2 8787942429541353/1569275433846670190958947355801916604025588861116008628224) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))))
(if (<=.f64 a2 8950677443466013/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (if (<=.f64 a2 4268429180062943/50216813883093446110686315385661331328818843555712276103168) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8950677443466013/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (if (<=.f64 a2 4268429180062943/3138550867693340381917894711603833208051177722232017256448) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 2611274321920859/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 3580270977386405/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5021681388309345/3138550867693340381917894711603833208051177722232017256448) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(if (<=.f64 a2 5754006927942437/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5021681388309345/1569275433846670190958947355801916604025588861116008628224) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(if (<=.f64 a2 4155671670180649/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5523849527140279/12554203470773361527671578846415332832204710888928069025792) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(if (<=.f64 th -700976274800963/9223372036854775808) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 th 33000000) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 8716645476927443/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 5960077539223977/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (if (<=.f64 a2 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944) (*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))
(if (<=.f64 a2 3711603880498137/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 7350083789478079/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 7486192554119879/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 4586997231980143/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (if (<=.f64 a2 3957737425103581/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 5975119883377683/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 7268387242956069/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 5880067031582463/226156424291633194186662080095093570025917938800079226639565593765455331328) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 4606887725612233/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 4724451707921445/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(if (<=.f64 a2 4041992862284903/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 1998806491812919/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 3957737425103581/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
Outputs
(*.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 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(if (<=.f64 a2 3733711162131537/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (if (<=.f64 a2 8787942429541353/1569275433846670190958947355801916604025588861116008628224) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 a2 (pow.f64 2 -1/2))))))
(if (<=.f64 a2 3733711162131537/25573364124188608359478044506465618376692515984711443667838213813251045284411519960025547596296126227741302219746563054759509816764729633229129121792) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (if (<=.f64 a2 8787942429541353/1569275433846670190958947355801916604025588861116008628224) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (*.f64 (pow.f64 2 -1/2) a2)))))
(if (<=.f64 a2 8950677443466013/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (if (<=.f64 a2 4268429180062943/50216813883093446110686315385661331328818843555712276103168) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8950677443466013/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (if (<=.f64 a2 4268429180062943/50216813883093446110686315385661331328818843555712276103168) (/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8950677443466013/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)) (if (<=.f64 a2 4268429180062943/3138550867693340381917894711603833208051177722232017256448) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8950677443466013/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 (cos.f64 th) (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) (if (<=.f64 a2 4268429180062943/3138550867693340381917894711603833208051177722232017256448) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 2611274321920859/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 7672009237256583/12786682062094304179739022253232809188346257992355721833919106906625522642205759980012773798148063113870651109873281527379754908382364816614564560896) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 2611274321920859/50216813883093446110686315385661331328818843555712276103168) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 3580270977386405/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5021681388309345/3138550867693340381917894711603833208051177722232017256448) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(if (<=.f64 a2 3580270977386405/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5021681388309345/3138550867693340381917894711603833208051177722232017256448) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 a2 (/.f64 (*.f64 (cos.f64 th) a2) (sqrt.f64 2)))))
(if (<=.f64 a2 5754006927942437/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5021681388309345/1569275433846670190958947355801916604025588861116008628224) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))
(if (<=.f64 a2 5754006927942437/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5021681388309345/1569275433846670190958947355801916604025588861116008628224) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 a2 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))))
(if (<=.f64 a2 4155671670180649/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5523849527140279/12554203470773361527671578846415332832204710888928069025792) (/.f64 (+.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(if (<=.f64 a2 4155671670180649/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 a2 5523849527140279/12554203470773361527671578846415332832204710888928069025792) (/.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)) (*.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(if (<=.f64 th -700976274800963/9223372036854775808) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 th 33000000) (*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(if (<=.f64 th -700976274800963/9223372036854775808) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (if (<=.f64 th 33000000) (*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)) (*.f64 a1 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 (sqrt.f64 1/2) (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)))
(*.f64 (+.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(if (<=.f64 a2 8716645476927443/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 5960077539223977/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (if (<=.f64 a2 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944) (*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))
(if (<=.f64 a2 8716645476927443/14059105607947488696282932836518693308967803494693489478439861164411992439598399594747002144074658928593502845729752797260025831423419686528151609940203637047296) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 5960077539223977/726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)) (if (<=.f64 a2 5300541194335153/441711766194596082395824375185729628956870974218904739530401550323154944) (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (*.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))))
(if (<=.f64 a2 3711603880498137/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 7350083789478079/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 (*.f64 (pow.f64 2 -1/2) a1) a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 3711603880498137/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 1680814549933591/45427420268475430659332737993000283397102585042957378767593137448789955507087370207886940669610222847547657600391636120845912601788416) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a2 7350083789478079/14134776518227074636666380005943348126619871175004951664972849610340958208) (*.f64 a1 (*.f64 (pow.f64 2 -1/2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 7486192554119879/28793048285076456849987446449190283896766061557132266451844835664715760516297522370041860391064901485759493828054533728788532902755163518009654497157537048672862208) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 4586997231980143/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (if (<=.f64 a2 3957737425103581/14134776518227074636666380005943348126619871175004951664972849610340958208) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 5975119883377683/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 7268387242956069/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 5880067031582463/226156424291633194186662080095093570025917938800079226639565593765455331328) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 5975119883377683/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 a2 7268387242956069/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a2 5880067031582463/226156424291633194186662080095093570025917938800079226639565593765455331328) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 4606887725612233/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 4724451707921445/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(if (<=.f64 a2 4606887725612233/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 a2 4724451707921445/363419362147803445274661903944002267176820680343659030140745099590319644056698961663095525356881782780381260803133088966767300814307328) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a2 8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(if (<=.f64 a2 4041992862284903/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (*.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 1998806491812919/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2) (if (<=.f64 a2 3957737425103581/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(if (<=.f64 a2 4041992862284903/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 a2 1998806491812919/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a2 3957737425103581/3533694129556768659166595001485837031654967793751237916243212402585239552) (*.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(*.f64 (sqrt.f64 1/2) (*.f64 a1 a1))
(*.f64 (*.f64 a1 a1) (sqrt.f64 1/2))
Compiler

Compiled 629 to 434 computations (31% saved)

soundness10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×fma-def_binary64
23×*-commutative_binary64
20×associate-/l*_binary64
11×associate-/r/_binary64
9×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01320
12718
25818
38818
411518
513518
615218
717018
817218
Stop Event
1×saturated
Compiler

Compiled 38 to 26 computations (31.6% saved)

end221.0ms (1.5%)

Remove

(sort a1 a2)

Compiler

Compiled 606 to 355 computations (41.4% saved)

Profiling

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