Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.2s (26.9%)

Results

797.0ms	3059×	body	256	valid
722.0ms	1037×	body	1024	valid
605.0ms	2321×	body	256	infinite
582.0ms	880×	body	1024	infinite
241.0ms	508×	body	512	valid
213.0ms	451×	body	512	infinite

Bogosity

preprocess307.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3602×	`fma-def`
1050×	`div-sub`
966×	`associate-/l*`
960×	`distribute-lft-in`
748×	`distribute-lft-neg-in`

Problems

254×	No Errors
2×	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280

Stop Event

1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a2) (neg.f64 a2))))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a2 a2)))
(+.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) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.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 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) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.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 (neg.f64 a1) (neg.f64 a1))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.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 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (neg.f64 a2) (neg.f64 a2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 (neg.f64 th)) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.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) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.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 (sqrt.f64 2) (fma.f64 th th (*.f64 a1 a1))))

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 82 to 45 computations (45.1% saved)

eval1.0ms (0%)

Compiler: Compiled 40 to 20 computations (50% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
▶	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize102.0ms (0.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.9%	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 81 to 26 computations (67.9% saved)

series13.0ms (0.1%)

Counts

4 → 112

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite112.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`prod-diff`
628×	`fma-def`
600×	`expm1-udef`
598×	`log1p-udef`
356×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	110
1	388	104
2	4821	104

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

Inputs
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1)
(*.f64 (cos.f64 th) (pow.f64 2 -1/2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) -1)
(neg.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1) (.f64 (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) 1)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(/.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(/.f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 (cos.f64 th))))
(/.f64 (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1))))
(/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (cos.f64 th))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1))))
(/.f64 -1 (neg.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 2) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (neg.f64 (sqrt.f64 2)) (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (neg.f64 (cos.f64 th))) (.f64 (fma.f64 a2 a2 (*.f64 (neg.f64 a1) a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th)))) (neg.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(/.f64 (+.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 3) (pow.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 3)) (fma.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (-.f64 (.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) (-.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) 3)
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(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 1 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 1 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (/.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 (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 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 a2)) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 a1)) (/.f64 (*.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 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))) 1 (.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)) 1))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))) (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (sqrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (sqrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (*.f64 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 (.f64 a1 a1) (cos.f64 th)) (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 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 a2 a2) (/.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)) (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 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 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.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 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1)))
(+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 a2 a2) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (*.f64 a2 a2) (cos.f64 th)))

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

860×	`associate-r`
776×	`log-prod`
738×	`associate-l`
736×	`div-sub`
638×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	16462
1	1309	15732
2	5779	15732

Stop Event

1×	node limit

Counts

354 → 281

Calls

Call 1

Inputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
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(fma.f64 (sqrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1) (/.f64 (*.f64 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 (.f64 a1 a1) (cos.f64 th)) (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 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (pow.f64 2 -1/2) (/.f64 (*.f64 a2 a2) (/.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)) (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 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 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 (*.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 (cos.f64 th) (sqrt.f64 2)) a2) a2 (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (/.f64 (.f64 (*.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1)))
(+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (.f64 (.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (.f64 a2 a2) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (*.f64 a2 a2) (cos.f64 th)))

Outputs
(/.f64 1 (sqrt.f64 2))
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 th th) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2))) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 th th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2))) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))))
(fma.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 th th) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 -1/720 (.f64 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 a2 a2))) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (fma.f64 a1 a1 (*.f64 a2 a2))) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))))
(/.f64 (*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (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 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (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 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (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 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (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 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)) (/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(fma.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.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)))
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(.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (cos.f64 th))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (cos.f64 th) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2))) (cos.f64 th))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (fma.f64 a2 a2 (.f64 (neg.f64 a1) a1)))
(/.f64 (cos.f64 th) (/.f64 (fma.f64 a2 a2 (*.f64 a1 (neg.f64 a1))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (hypot.f64 a2 a1)) 2)
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 2))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (cos.f64 th) 3)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(fma.f64 (cos.f64 th) (.f64 a2 a2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(fma.f64 (cos.f64 th) (.f64 a1 a1) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(fma.f64 (.f64 a2 a2) (cos.f64 th) (.f64 (*.f64 a1 a1) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))
(fma.f64 (.f64 a1 a1) (cos.f64 th) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cos.f64 th))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))

eval323.0ms (2.7%)

Compiler: Compiled 5921 to 3241 computations (45.3% saved)

prune94.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	268	13	281
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	269	14	283

Accuracy

100.0%

Counts

283 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	99.2%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	98.9%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
▶	80.9%	(.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.7%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
	99.6%	(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
▶	99.2%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	74.3%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.3%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	83.9%	(.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.2%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	67.8%	(sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4)) 2))

Compiler

Compiled 430 to 323 computations (24.9% saved)

localize351.0ms (3%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.1%	(sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	98.9%	(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
✓	99.8%	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
✓	99.8%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	99.7%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
✓	100.0%	(pow.f64 (hypot.f64 a2 a1) 2)
✓	99.9%	(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
✓	99.8%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))

Compiler

Compiled 194 to 79 computations (59.3% saved)

series122.0ms (1%)

Counts

11 → 256

Calls

66 calls:

Time	Variable		Point	Expression
21.0ms	a1	@	0	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
13.0ms	a2	@	0	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
6.0ms	th	@	0	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
5.0ms	th	@	-inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
5.0ms	th	@	inf	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))

rewrite365.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

800×	`expm1-udef`
796×	`log1p-udef`
528×	`add-sqr-sqrt`
520×	`pow1`
514×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	261
1	597	251
2	7411	251

Stop Event

1×	node limit

Counts

11 → 411

Calls

Call 1

Inputs
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2)
(sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (pow.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Outputs
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))) 1)
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (sqrt.f64 2)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) 1) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (neg.f64 (cos.f64 th))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3)) (+.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a2 a1) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (cos.f64 th) (.f64 a1 a1)))
(+.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (.f64 (.f64 a1 a1) (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (cos.f64 th) (.f64 a2 a2)))
(+.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (.f64 (cos.f64 th) (.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (cos.f64 th)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (cos.f64 th)) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (cos.f64 th))) 2)
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) (pow.f64 (cos.f64 th) 2)))
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(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3)) (+.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a2 a1) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))

simplify385.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`fma-def`
678×	`times-frac`
600×	`distribute-rgt-in`
582×	`distribute-lft-in`
522×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	945	27963
1	2787	26345

Stop Event

1×	node limit

Counts

667 → 560

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6))))))) (.f64 (pow.f64 a2 12) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2)))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))))))))))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (pow.f64 a2 2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (pow.f64 a2 2)) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))))) (pow.f64 a2 4)))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (pow.f64 a2 2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (pow.f64 a2 2)) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))))) (pow.f64 a2 4)))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a1 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a2 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6))))))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a1 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a2 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6))))))) (+.f64 (.f64 (pow.f64 a1 12) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a2 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (pow.f64 a2 4))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a2 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (pow.f64 a2 2)))) (pow.f64 a2 2))) (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2)))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a2 10))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a2 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (pow.f64 a2 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a2 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (pow.f64 a2 2)))) (pow.f64 a2 2))))))))) (.f64 (pow.f64 a2 2) (*.f64 (cos.f64 th) (sqrt.f64 1/2))))))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))))) (pow.f64 a1 2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))))) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 a2 6)) (.f64 1/8 (pow.f64 a2 6))))) (pow.f64 a1 4)))))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))))) (pow.f64 a1 2))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))))) (pow.f64 a1 2)) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 a2 6)) (.f64 1/8 (pow.f64 a2 6))))) (pow.f64 a1 4)))))
(+.f64 (pow.f64 a1 2) (pow.f64 a2 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (cos.f64 th) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(*.f64 (pow.f64 a1 2) (cos.f64 th))
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(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) 1) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (neg.f64 (cos.f64 th))) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(/.f64 (.f64 (cos.f64 th) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (sqrt.f64 2) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (sqrt.f64 2) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (.f64 (neg.f64 (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) 3)) (+.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))))) (-.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))))
(/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2)))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a2 a1) 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))

Outputs
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 th th)) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))
(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 th th)) (fma.f64 1/24 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (pow.f64 th 4)) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (+.f64 (.f64 -1/2 (.f64 th th)) (.f64 1/24 (pow.f64 th 4)))) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 th 6) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (.f64 th th)) (fma.f64 -1/720 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (pow.f64 th 6)) (fma.f64 1/24 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (pow.f64 th 4)) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))))))
(+.f64 (.f64 (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2))) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (.f64 1/24 (pow.f64 th 4)))) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))))))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) (.f64 (pow.f64 a2 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6)))))))
(fma.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (.f64 (pow.f64 a2 8) (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6))))))) (.f64 (pow.f64 a2 12) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1 (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2)))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))))))))))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) (fma.f64 (pow.f64 a2 8) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 -1 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (/.f64 5/64 (pow.f64 a1 6))))) (.f64 (pow.f64 a2 12) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 -1 (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))) (+.f64 (/.f64 1/256 (pow.f64 a1 10)) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (.f64 1/2 (/.f64 (-.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (*.f64 a1 a1)))))))))))
(fma.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (fma.f64 (pow.f64 a2 12) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (+.f64 (/.f64 1/256 (pow.f64 a1 10)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))) (fma.f64 1/8 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 a1 8)) (.f64 1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (.f64 a1 a1)))) (.f64 a1 a1)) (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2))))) (.f64 (pow.f64 a2 8) (.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (-.f64 (/.f64 5/64 (pow.f64 a1 6)) (+.f64 (/.f64 1/16 (pow.f64 a1 6)) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)))))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (pow.f64 a2 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 4) 0))) (*.f64 a2 a2)))
(fma.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 (sqrt.f64 1/2) 0) a2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))))) (pow.f64 a2 2)) (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))))) (pow.f64 a2 4)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th))) (+.f64 (/.f64 (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 4) 0))) (.f64 a2 a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 a2 4) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a1 6) 0))))))
(+.f64 (fma.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (cos.f64 th)) (.f64 (/.f64 (cos.f64 th) a2) (/.f64 (.f64 (sqrt.f64 1/2) 0) a2))) (/.f64 (cos.f64 th) (/.f64 (pow.f64 a2 4) (*.f64 (sqrt.f64 1/2) 0))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
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(/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(.f64 (/.f64 (sqrt.f64 1/2) (+.f64 a2 a1)) (/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 a2 a1)))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (+.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 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cos.f64 th))) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(.f64 (/.f64 (sqrt.f64 1/2) (+.f64 a2 a1)) (/.f64 (.f64 (cos.f64 th) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 a2 a1)))
(/.f64 (*.f64 (neg.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (cos.f64 th))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 1)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 3)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3) 1/3)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(pow.f64 (.f64 (hypot.f64 a2 a1) (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(sqrt.f64 (.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1/2) (pow.f64 (hypot.f64 a2 a1) 4)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 1/2 (pow.f64 (hypot.f64 a2 a1) 4))))
(sqrt.f64 (.f64 1/2 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (hypot.f64 a2 a1) 4))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 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 a2 a1) 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))) 3))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/2) 1/2) (pow.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) 3) (*.f64 (sqrt.f64 1/2) 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))) 1))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (pow.f64 (hypot.f64 a2 a1) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(fma.f64 (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))
(fma.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th)))

eval486.0ms (4.1%)

Compiler: Compiled 14809 to 9133 computations (38.3% saved)

prune272.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	598	9	607
Fresh	7	1	8
Picked	4	1	5
Done	0	1	1
Total	609	12	621

Accuracy

100.0%

Counts

621 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	99.2%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
	74.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	14.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	98.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	99.2%	(*.f64 (/.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) a2)) (pow.f64 2 1/4)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	74.3%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	64.7%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	99.3%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	99.3%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
▶	74.4%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 293 to 218 computations (25.6% saved)

localize242.0ms (2.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.3%	(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓	99.1%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	99.8%	(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2))
✓	94.7%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.7%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.9%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
✓	99.7%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 159 to 67 computations (57.9% saved)

series15.0ms (0.1%)

Counts

8 → 156

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	a1	@	inf	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	a2	@	0	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	th	@	inf	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	th	@	0	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
1.0ms	a1	@	0	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

rewrite119.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`add-sqr-sqrt`
572×	`pow1`
572×	`*-un-lft-identity`
540×	`add-exp-log`
540×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	200
1	589	196

Stop Event

1×	node limit

Counts

8 → 225

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (sqrt.f64 1/2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))) 1)
(pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 6) (.f64 1/2 (sqrt.f64 1/2))))
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)))) 1)
(pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (.f64 a2 (sqrt.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 2)
(sqrt.f64 (.f64 (.f64 1/2 (pow.f64 a2 4)) (pow.f64 (cos.f64 th) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)) (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)))) 1)
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))
(.f64 (.f64 a1 a1) (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)) 1)
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))
(.f64 (cbrt.f64 (pow.f64 a1 4)) (.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 1 (cbrt.f64 2)) (/.f64 (.f64 a1 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 a1 1) (/.f64 a1 (sqrt.f64 2)))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)) 3) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) -1)
(neg.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a1 6) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 a1 4) 2))))
(+.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(+.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) 1))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a2 a1) 2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) 3)) (+.f64 (.f64 1/2 (pow.f64 a2 4)) (-.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1))))))
(/.f64 (-.f64 (.f64 1/2 (pow.f64 a2 4)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))) (-.f64 (.f64 (.f64 a2 a2) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))))
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(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))

simplify387.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1280×	`log-prod`
1194×	`associate-r`
1104×	`associate-l`
622×	`fma-neg`
522×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	592	13359
1	1590	11825
2	6758	11825

Stop Event

1×	node limit

Counts

381 → 355

Calls

Call 1

Inputs
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 4) (sqrt.f64 1/2)))) (*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 6) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 4) (sqrt.f64 1/2)))) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a1 2) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a1 2) (sqrt.f64 1/2))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(+.f64 (.f64 (pow.f64 a1 2) (sqrt.f64 1/2)) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 -1/2 (.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 -1/2 (.f64 (pow.f64 th 2) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(+.f64 (.f64 (pow.f64 a1 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))) (.f64 (pow.f64 a2 2) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (pow.f64 th 2))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (.f64 -1/2 (.f64 (pow.f64 th 2) (sqrt.f64 1/2))))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a2 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a2 2) (sqrt.f64 2)))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
(/.f64 (sqrt.f64 2) (pow.f64 a2 2))
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(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 th -1/2) th 1))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (*.f64 th -1/2) th 1))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (fma.f64 (.f64 th -1/2) th 1))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)
(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 1 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(.f64 (cbrt.f64 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a2 -2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (/.f64 (cbrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (/.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (cos.f64 th) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a2 -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (pow.f64 2 1/4) a2)) (/.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a2)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (pow.f64 a2 4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2) a2)
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a2 a2))
(.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (.f64 a2 (neg.f64 a2)))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a2)) a2)
(pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) a2) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (/.f64 (cos.f64 th) (pow.f64 a2 -2))) -1)
(neg.f64 (/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a2 -2)))))
(sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))) 1)
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 1 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (cbrt.f64 (/.f64 2 (pow.f64 a2 4))))
(.f64 (cbrt.f64 (/.f64 2 (pow.f64 a2 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a2 -2)))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (pow.f64 a2 -2)))
(*.f64 (/.f64 (pow.f64 2 1/4) a2) (/.f64 (pow.f64 2 1/4) a2))
(.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2))))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))

Outputs
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(.f64 a2 (.f64 (.f64 a2 (sqrt.f64 1/2)) (fma.f64 th (.f64 th -1/2) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 4) (sqrt.f64 1/2)))) (*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 a2)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (.f64 a2 a2)))) (.f64 a2 (.f64 (.f64 a2 (sqrt.f64 1/2)) (fma.f64 th (.f64 th -1/2) 1))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 6) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 4) (sqrt.f64 1/2)))) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 a2)) (fma.f64 -1/720 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (.f64 a2 a2)) (fma.f64 1/24 (.f64 (.f64 (pow.f64 th 4) (.f64 a2 a2)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(+.f64 (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (pow.f64 th 6)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (.f64 a2 a2))))) (.f64 a2 (.f64 (.f64 a2 (sqrt.f64 1/2)) (fma.f64 th (*.f64 th -1/2) 1))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 (pow.f64 a1 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
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(.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a2 (neg.f64 a2)))
(*.f64 (pow.f64 a2 -2) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 (sqrt.f64 2) a2) (/.f64 1 a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a2 a2)))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(/.f64 (pow.f64 2 1/2) (*.f64 a2 a2))
(*.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 a2 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(*.f64 (/.f64 (cbrt.f64 2) a2) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))
(.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))) (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a2 4))))
(*.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a2 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)))
(/.f64 (/.f64 (pow.f64 2 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2))
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3) 1/3)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(pow.f64 (/.f64 (pow.f64 2 1/4) a2) 2)
(/.f64 (pow.f64 2 1/2) (*.f64 a2 a2))
(pow.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) -1)
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(neg.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (neg.f64 a2))))
(.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2))))
(/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a2 (neg.f64 a2)))
(sqrt.f64 (/.f64 2 (pow.f64 a2 4)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2)) 3))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 6)))
(cbrt.f64 (/.f64 2 (/.f64 (pow.f64 a2 6) (sqrt.f64 2))))
(cbrt.f64 (*.f64 (/.f64 2 (pow.f64 a2 6)) (sqrt.f64 2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 -2))) 1))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a2 -2))))
(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
(*.f64 (sqrt.f64 2) (pow.f64 a2 -2))

eval346.0ms (2.9%)

Compiler: Compiled 6017 to 3959 computations (34.2% saved)

prune96.0ms (0.8%)

Pruning

17 alts after pruning (10 fresh and 7 done)

	Pruned	Kept	Total
New	348	7	355
Fresh	2	3	5
Picked	0	5	5
Done	0	2	2
Total	350	17	367

Accuracy

100.0%

Counts

367 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	99.2%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	74.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	14.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	14.4%	(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
✓	98.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	14.4%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓	64.7%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.3%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	15.9%	(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	99.3%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
✓	74.4%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.2%	(.f64 (neg.f64 a2) (/.f64 (.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
▶	74.3%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	14.4%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
▶	17.5%	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))

Compiler

Compiled 326 to 247 computations (24.2% saved)

localize188.0ms (1.6%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (pow.f64 a1 4) 2)
✓	79.0%	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
✓	99.8%	(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
✓	99.3%	(/.f64 (neg.f64 (sqrt.f64 2)) a1)
	99.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	99.2%	(/.f64 a2 (sqrt.f64 2))
✓	99.9%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
✓	99.8%	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
✓	99.4%	(*.f64 a2 (sqrt.f64 1/2))

Compiler

Compiled 96 to 66 computations (31.3% saved)

series6.0ms (0%)

Counts

9 → 96

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	inf	(/.f64 a2 (sqrt.f64 2))
0.0ms	a1	@	0	(/.f64 (neg.f64 (sqrt.f64 2)) a1)
0.0ms	a1	@	0	(/.f64 (pow.f64 a1 4) 2)
0.0ms	a2	@	-inf	(/.f64 a2 (sqrt.f64 2))
0.0ms	a1	@	inf	(/.f64 (neg.f64 (sqrt.f64 2)) a1)

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`add-sqr-sqrt`
484×	`pow1`
482×	`*-un-lft-identity`
460×	`add-exp-log`
460×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	161
1	514	161
2	6957	161

Stop Event

1×

unsound

Counts

9 → 297

Calls

Call 1

Inputs
(*.f64 a2 (sqrt.f64 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(/.f64 a2 (sqrt.f64 2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(/.f64 (neg.f64 (sqrt.f64 2)) a1)
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(/.f64 (pow.f64 a1 4) 2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 -1/2)))) 1)
(pow.f64 (*.f64 a2 (sqrt.f64 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 -1/2))) -2)
(sqrt.f64 (.f64 -1/2 (.f64 a2 a2)))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (sqrt.f64 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 -1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (.f64 -1/2 (sqrt.f64 -1/2))))
(cbrt.f64 (.f64 (.f64 -1/2 (sqrt.f64 -1/2)) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 -1/2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2)))) 1)
(pow.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2)) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2)) 3) 1/3)
(pow.f64 (*.f64 a2 (pow.f64 -1/2 1/4)) -2)
(sqrt.f64 (pow.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2)) -2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 a2 (sqrt.f64 -1/2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 -1/2)) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 -1/2) (*.f64 a2 a2))) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 -1/2) (.f64 a2 a2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th))))) 1)
(pow.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th))) 3) 1/3)
(pow.f64 (.f64 (.f64 a2 (pow.f64 -1/2 1/4)) (sqrt.f64 (cos.f64 th))) -2)
(sqrt.f64 (pow.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th))) -2))
(log.f64 (pow.f64 (exp.f64 a2) (.f64 a2 (.f64 (sqrt.f64 -1/2) (cos.f64 th)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 -1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 -1/2) (*.f64 a2 a2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (.f64 a2 (cos.f64 th)))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 (sqrt.f64 -1/2)) (*.f64 a2 (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 -2)))) 1)
(*.f64 a2 (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) a2)
(.f64 (.f64 a2 (sqrt.f64 -2)) 1)
(.f64 1 (.f64 a2 (sqrt.f64 -2)))
(.f64 (pow.f64 (cbrt.f64 a2) -2) (.f64 (cbrt.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 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (.f64 a2 (sqrt.f64 -2))) (sqrt.f64 (*.f64 a2 (sqrt.f64 -2))))
(*.f64 (neg.f64 a2) (sqrt.f64 -2))
(*.f64 (/.f64 1 (cbrt.f64 -2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 -2))))
(*.f64 (/.f64 1 (pow.f64 -2 1/4)) (/.f64 a2 (pow.f64 -2 1/4)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) -2) 1) (/.f64 (cbrt.f64 a2) (sqrt.f64 -2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a2) -2) (cbrt.f64 -2)) (cbrt.f64 (.f64 a2 (sqrt.f64 -2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a2) -2) (pow.f64 -2 1/4)) (/.f64 (cbrt.f64 a2) (pow.f64 -2 1/4)))
(*.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (sqrt.f64 -2)))
(*.f64 (/.f64 (sqrt.f64 a2) (cbrt.f64 -2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (sqrt.f64 -2))))
(pow.f64 (*.f64 a2 (sqrt.f64 -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (sqrt.f64 -2))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (sqrt.f64 -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (sqrt.f64 -2))) -2)
(pow.f64 (/.f64 (sqrt.f64 -2) a2) -1)
(neg.f64 (*.f64 a2 (sqrt.f64 -2)))
(sqrt.f64 (.f64 (.f64 a2 a2) -2))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (sqrt.f64 -2)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (sqrt.f64 -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 a2 3) (*.f64 -2 (sqrt.f64 -2))))
(expm1.f64 (log1p.f64 (*.f64 a2 (sqrt.f64 -2))))
(exp.f64 (log.f64 (*.f64 a2 (sqrt.f64 -2))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (sqrt.f64 -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 a2 (sqrt.f64 -2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2)))) 1)
(/.f64 a2 (/.f64 (sqrt.f64 -2) a2))
(/.f64 1 (/.f64 (sqrt.f64 -2) (*.f64 a2 a2)))
(/.f64 (*.f64 a2 a2) (sqrt.f64 -2))
(/.f64 (*.f64 a2 (neg.f64 a2)) (sqrt.f64 -2))
(/.f64 (*.f64 (neg.f64 a2) a2) (sqrt.f64 -2))
(/.f64 (neg.f64 (*.f64 a2 a2)) (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 (.f64 a2 a2) (sqrt.f64 -2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2)) 3) 1/3)
(pow.f64 (/.f64 a2 (pow.f64 -2 1/4)) -2)
(sqrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2)) -2))
(log.f64 (pow.f64 (exp.f64 a2) (*.f64 a2 (sqrt.f64 -2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2)) 3))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 a2 (sqrt.f64 -2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 a2 (sqrt.f64 -2)) 3) (pow.f64 a2 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2))))
(exp.f64 (log.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 -2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 a2) (sqrt.f64 -2))))
(-.f64 0 (/.f64 (sqrt.f64 -2) a1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 -2) a1))) 1)
(-.f64 (/.f64 0 a1) (/.f64 (sqrt.f64 -2) a1))
(*.f64 (sqrt.f64 -2) (/.f64 1 a1))
(*.f64 (sqrt.f64 -2) (neg.f64 (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 -2) a1) 1)
(*.f64 1 (/.f64 (sqrt.f64 -2) a1))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)) (cbrt.f64 (/.f64 -2 (.f64 a1 a1))))
(.f64 (cbrt.f64 (/.f64 -2 (.f64 a1 a1))) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(.f64 (cbrt.f64 (/.f64 -2 (.f64 a1 a1))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (cbrt.f64 -2) (.f64 (cbrt.f64 (sqrt.f64 -2)) (/.f64 1 a1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (pow.f64 -2 1/4) (.f64 (pow.f64 -2 1/4) (/.f64 1 a1)))
(*.f64 (/.f64 1 a1) (sqrt.f64 -2))
(*.f64 -1 (/.f64 (sqrt.f64 -2) a1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a1) -2)) (/.f64 (sqrt.f64 -2) (cbrt.f64 a1)))
(*.f64 (/.f64 1 (sqrt.f64 a1)) (/.f64 (sqrt.f64 -2) (sqrt.f64 a1)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a1) -2)) (/.f64 (sqrt.f64 -2) (cbrt.f64 a1)))
(*.f64 (/.f64 -1 (sqrt.f64 a1)) (/.f64 (sqrt.f64 -2) (sqrt.f64 a1)))
(*.f64 (/.f64 (cbrt.f64 -2) 1) (/.f64 (cbrt.f64 (sqrt.f64 -2)) a1))
(*.f64 (/.f64 (pow.f64 -2 1/4) 1) (/.f64 (pow.f64 -2 1/4) a1))
(*.f64 (/.f64 (cbrt.f64 -2) (pow.f64 (cbrt.f64 a1) -2)) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(*.f64 (/.f64 (cbrt.f64 -2) (sqrt.f64 a1)) (/.f64 (cbrt.f64 (sqrt.f64 -2)) (sqrt.f64 a1)))
(*.f64 (/.f64 (pow.f64 -2 1/4) (pow.f64 (cbrt.f64 a1) -2)) (/.f64 (pow.f64 -2 1/4) (cbrt.f64 a1)))
(.f64 (neg.f64 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(pow.f64 (/.f64 (sqrt.f64 -2) a1) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)) -2)
(pow.f64 (*.f64 (sqrt.f64 -2) a1) -1)
(neg.f64 (/.f64 (sqrt.f64 -2) a1))
(sqrt.f64 (/.f64 -2 (*.f64 a1 a1)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 -2) a1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 -2) a1))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3))
(cbrt.f64 (/.f64 (*.f64 -2 (sqrt.f64 -2)) (pow.f64 a1 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 -2) a1)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 -2) a1)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 -2) a1)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 -2) a1)))
(-.f64 0 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))) 1)
(-.f64 (/.f64 0 (/.f64 (sqrt.f64 -2) a1)) (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(*.f64 (sqrt.f64 -2) (/.f64 a1 (/.f64 1 a1)))
(.f64 a1 (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(.f64 1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))))
(.f64 (pow.f64 (cbrt.f64 a1) -2) (.f64 (cbrt.f64 a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 a1 a1) (sqrt.f64 -1/2))
(.f64 (.f64 a1 a1) (sqrt.f64 -2))
(*.f64 (/.f64 a1 (pow.f64 -2 1/4)) (/.f64 a1 (pow.f64 -2 1/4)))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 (sqrt.f64 -2) a1) a1)
(.f64 -1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4))) (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4)))))
(.f64 (pow.f64 1 -1/2) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4)) -1/2) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 -2)) (/.f64 (cbrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 -2)) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 -1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 -1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 a1 1) (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) 1) a1)
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (pow.f64 (cbrt.f64 a1) -2)) (cbrt.f64 a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (sqrt.f64 a1)) (sqrt.f64 a1))
(pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) -1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 -2 1/4)) -2)
(pow.f64 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)) -1)
(neg.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(sqrt.f64 (*.f64 -1/2 (pow.f64 a1 -4)))
(fabs.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(log.f64 (exp.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(-.f64 0 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))) 1)
(-.f64 (/.f64 0 (/.f64 (sqrt.f64 -2) a1)) (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(*.f64 (sqrt.f64 -2) (/.f64 a1 (/.f64 1 a1)))
(.f64 a1 (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(.f64 1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))))
(.f64 (pow.f64 (cbrt.f64 a1) -2) (.f64 (cbrt.f64 a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 a1 a1) (sqrt.f64 -1/2))
(.f64 (.f64 a1 a1) (sqrt.f64 -2))
(*.f64 (/.f64 a1 (pow.f64 -2 1/4)) (/.f64 a1 (pow.f64 -2 1/4)))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 (sqrt.f64 -2) a1) a1)
(.f64 -1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4))) (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4)))))
(.f64 (pow.f64 1 -1/2) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4)) -1/2) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 -2)) (/.f64 (cbrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 -2)) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 -1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 -1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 a1 1) (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) 1) a1)
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (pow.f64 (cbrt.f64 a1) -2)) (cbrt.f64 a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (sqrt.f64 a1)) (sqrt.f64 a1))
(/.f64 a1 (/.f64 (sqrt.f64 -2) a1))
(/.f64 1 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)))
(/.f64 1 (sqrt.f64 (/.f64 -2 (pow.f64 a1 -4))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)) 1))
(/.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (/.f64 (sqrt.f64 -2) a1) (cbrt.f64 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 -2))
(/.f64 (sqrt.f64 a1) (/.f64 (/.f64 (sqrt.f64 -2) a1) (sqrt.f64 a1)))
(/.f64 (*.f64 (sqrt.f64 -2) a1) (/.f64 1 a1))
(/.f64 -1 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)))
(/.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(/.f64 (/.f64 a1 1) (/.f64 (sqrt.f64 -2) a1))
(/.f64 (/.f64 a1 (cbrt.f64 (/.f64 -2 (*.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(/.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 (.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) -1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 -2 1/4)) -2)
(pow.f64 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)) -1)
(neg.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(fabs.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(log.f64 (exp.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 a1 -4)))) 1)
(*.f64 -1/2 (pow.f64 a1 -4))
(.f64 a1 (.f64 (.f64 (sqrt.f64 -2) a1) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(*.f64 (pow.f64 a1 -4) -1/2)
(.f64 (.f64 -1/2 (pow.f64 a1 -4)) 1)
(.f64 1 (.f64 -1/2 (pow.f64 a1 -4)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (*.f64 (pow.f64 a1 -8) 1/4)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(.f64 (cbrt.f64 (pow.f64 a1 -8)) (.f64 (cbrt.f64 (pow.f64 a1 -4)) -1/2))
(.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 -2) a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2))
(.f64 (/.f64 a1 (pow.f64 -2 1/4)) (.f64 (/.f64 a1 (pow.f64 -2 1/4)) (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (.f64 (sqrt.f64 -2) a1) (.f64 a1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (/.f64 a1 (pow.f64 -2 1/4))) (/.f64 a1 (pow.f64 -2 1/4)))
(.f64 (.f64 (.f64 (sqrt.f64 -2) a1) (.f64 (sqrt.f64 -2) a1)) (*.f64 a1 a1))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) a1) (*.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 -2) a1)) a1)
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4)))) (cbrt.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) -2)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))) 3)
(pow.f64 (*.f64 (pow.f64 a1 -8) 1/4) -1/2)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3) 1/3)
(pow.f64 (/.f64 -2 (pow.f64 a1 -4)) -1)
(neg.f64 (*.f64 -1/2 (pow.f64 a1 -4)))
(sqrt.f64 (*.f64 (pow.f64 a1 -8) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 a1 -4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 a1 -4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 a1 -4))))

simplify178.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1124×	`log-prod`
932×	`associate-l`
928×	`associate-r`
796×	`fma-def`
560×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	8939
1	1300	8203
2	5052	8145

Stop Event

1×	node limit

Counts

393 → 361

Calls

Call 1

Inputs
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 -2)) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 -1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 -1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 a1 1) (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) 1) a1)
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (pow.f64 (cbrt.f64 a1) -2)) (cbrt.f64 a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (sqrt.f64 a1)) (sqrt.f64 a1))
(pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) -1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 -2 1/4)) -2)
(pow.f64 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)) -1)
(neg.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(sqrt.f64 (*.f64 -1/2 (pow.f64 a1 -4)))
(fabs.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(log.f64 (exp.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(-.f64 0 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))) 1)
(-.f64 (/.f64 0 (/.f64 (sqrt.f64 -2) a1)) (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(*.f64 (sqrt.f64 -2) (/.f64 a1 (/.f64 1 a1)))
(.f64 a1 (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(.f64 1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))))
(.f64 (pow.f64 (cbrt.f64 a1) -2) (.f64 (cbrt.f64 a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 a1 a1) (sqrt.f64 -1/2))
(.f64 (.f64 a1 a1) (sqrt.f64 -2))
(*.f64 (/.f64 a1 (pow.f64 -2 1/4)) (/.f64 a1 (pow.f64 -2 1/4)))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 (sqrt.f64 -2) a1) a1)
(.f64 -1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4))) (sqrt.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4)))))
(.f64 (pow.f64 1 -1/2) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4)) -1/2) (pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 -2)) (/.f64 (cbrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) -2) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 -2)) (/.f64 (sqrt.f64 a1) (/.f64 1 a1)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 -2) a1)))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 -1 (cbrt.f64 (/.f64 -2 (.f64 a1 a1)))) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(*.f64 (/.f64 -1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))))
(.f64 (/.f64 a1 1) (.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) 1) a1)
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (pow.f64 (cbrt.f64 a1) -2)) (cbrt.f64 a1))
(.f64 (.f64 (*.f64 (sqrt.f64 -2) a1) (sqrt.f64 a1)) (sqrt.f64 a1))
(/.f64 a1 (/.f64 (sqrt.f64 -2) a1))
(/.f64 1 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)))
(/.f64 1 (sqrt.f64 (/.f64 -2 (pow.f64 a1 -4))))
(/.f64 1 (/.f64 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)) 1))
(/.f64 (pow.f64 (cbrt.f64 a1) -2) (/.f64 (/.f64 (sqrt.f64 -2) a1) (cbrt.f64 a1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 -2))
(/.f64 (sqrt.f64 a1) (/.f64 (/.f64 (sqrt.f64 -2) a1) (sqrt.f64 a1)))
(/.f64 (*.f64 (sqrt.f64 -2) a1) (/.f64 1 a1))
(/.f64 -1 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)))
(/.f64 (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 -2) a1))) (sqrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(/.f64 (/.f64 a1 1) (/.f64 (sqrt.f64 -2) a1))
(/.f64 (/.f64 a1 (cbrt.f64 (/.f64 -2 (*.f64 a1 a1)))) (cbrt.f64 (/.f64 (sqrt.f64 -2) a1)))
(/.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 (.f64 a1 a1) (sqrt.f64 -1/2)) 1)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) -1/2)
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2) 1/3)
(pow.f64 (/.f64 a1 (pow.f64 -2 1/4)) -2)
(pow.f64 (/.f64 (sqrt.f64 -2) (*.f64 a1 a1)) -1)
(neg.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(fabs.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(log.f64 (exp.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 a1 -4)))) 1)
(*.f64 -1/2 (pow.f64 a1 -4))
(.f64 a1 (.f64 (.f64 (sqrt.f64 -2) a1) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(*.f64 (pow.f64 a1 -4) -1/2)
(.f64 (.f64 -1/2 (pow.f64 a1 -4)) 1)
(.f64 1 (.f64 -1/2 (pow.f64 a1 -4)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (*.f64 (pow.f64 a1 -8) 1/4)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(.f64 (cbrt.f64 (pow.f64 a1 -8)) (.f64 (cbrt.f64 (pow.f64 a1 -4)) -1/2))
(.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 -2) a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2))
(.f64 (/.f64 a1 (pow.f64 -2 1/4)) (.f64 (/.f64 a1 (pow.f64 -2 1/4)) (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (.f64 (sqrt.f64 -2) a1) (.f64 a1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (/.f64 a1 (pow.f64 -2 1/4))) (/.f64 a1 (pow.f64 -2 1/4)))
(.f64 (.f64 (.f64 (sqrt.f64 -2) a1) (.f64 (sqrt.f64 -2) a1)) (*.f64 a1 a1))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) a1) (*.f64 (sqrt.f64 -2) a1))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 -2) a1)) a1)
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4)))) (cbrt.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) -2)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))) 3)
(pow.f64 (*.f64 (pow.f64 a1 -8) 1/4) -1/2)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3) 1/3)
(pow.f64 (/.f64 -2 (pow.f64 a1 -4)) -1)
(neg.f64 (*.f64 -1/2 (pow.f64 a1 -4)))
(sqrt.f64 (*.f64 (pow.f64 a1 -8) 1/4))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 a1 -4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 a1 -4)))))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 a1 -4))))

Outputs
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (pow.f64 a2 2) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (.f64 (pow.f64 a2 2) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 (.f64 a2 -1/2))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 (.f64 a2 -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 2) (sqrt.f64 1/2)))) (+.f64 (.f64 1/24 (.f64 (pow.f64 a2 2) (.f64 (pow.f64 th 4) (sqrt.f64 1/2)))) (*.f64 (pow.f64 a2 2) (sqrt.f64 1/2))))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 a2)) (fma.f64 1/24 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))
(fma.f64 -1/2 (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (.f64 th th)))) (fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (.f64 1/24 (*.f64 a2 a2)))))
(fma.f64 a2 (.f64 a2 (sqrt.f64 1/2)) (fma.f64 (.f64 (.f64 1/24 (.f64 a2 a2)) (sqrt.f64 1/2)) (pow.f64 th 4) (.f64 (.f64 (sqrt.f64 1/2) (.f64 th th)) (.f64 a2 (*.f64 a2 -1/2)))))
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(fabs.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(log.f64 (exp.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)))))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3/2))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 (sqrt.f64 -2) a1) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) -1/2))
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) -1/2)
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))) 1))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(log1p.f64 (expm1.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 a1 -4)))) 1)
(*.f64 -1/2 (pow.f64 a1 -4))
(*.f64 -1/2 (pow.f64 a1 -4))
(.f64 a1 (.f64 (.f64 (sqrt.f64 -2) a1) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 a1 (.f64 (sqrt.f64 -2) (*.f64 (pow.f64 a1 3) (sqrt.f64 -1/2))))
(.f64 (sqrt.f64 -2) (.f64 (pow.f64 a1 4) (sqrt.f64 -1/2)))
(.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2)))
(.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2)))
(*.f64 -1/2 (pow.f64 a1 4))
(*.f64 (pow.f64 a1 -4) -1/2)
(*.f64 -1/2 (pow.f64 a1 -4))
(.f64 (.f64 -1/2 (pow.f64 a1 -4)) 1)
(*.f64 -1/2 (pow.f64 a1 -4))
(.f64 1 (.f64 -1/2 (pow.f64 a1 -4)))
(*.f64 -1/2 (pow.f64 a1 -4))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (*.f64 (pow.f64 a1 -8) 1/4)))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (*.f64 1/4 (pow.f64 a1 -8))))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))) (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 -1/2))) (cbrt.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 -1/2))))))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))) 4))
(.f64 (cbrt.f64 (.f64 (pow.f64 a1 -8) 1/4)) (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (cbrt.f64 (*.f64 1/4 (pow.f64 a1 -8))))
(.f64 (cbrt.f64 (pow.f64 a1 -8)) (.f64 (cbrt.f64 (pow.f64 a1 -4)) -1/2))
(.f64 (cbrt.f64 (pow.f64 a1 -8)) (.f64 -1/2 (cbrt.f64 (pow.f64 a1 -4))))
(.f64 (cbrt.f64 (pow.f64 a1 -4)) (.f64 -1/2 (cbrt.f64 (pow.f64 a1 -8))))
(.f64 (.f64 a1 a1) (.f64 (.f64 (sqrt.f64 -2) a1) (*.f64 (sqrt.f64 -2) a1)))
(.f64 (.f64 a1 (sqrt.f64 -2)) (.f64 (.f64 a1 (sqrt.f64 -2)) (*.f64 a1 a1)))
(*.f64 (pow.f64 a1 4) -2)
(.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2))
(.f64 (pow.f64 a1 4) (.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2)))
(*.f64 -1/2 (pow.f64 a1 4))
(.f64 (/.f64 a1 (pow.f64 -2 1/4)) (.f64 (/.f64 a1 (pow.f64 -2 1/4)) (.f64 (.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (/.f64 a1 (pow.f64 -2 1/4)) (/.f64 (.f64 (pow.f64 a1 3) (sqrt.f64 -1/2)) (pow.f64 -2 1/4)))
(.f64 (sqrt.f64 -1/2) (.f64 (*.f64 a1 a1) (/.f64 a1 (/.f64 (pow.f64 -2 1/2) a1))))
(.f64 (sqrt.f64 -1/2) (.f64 (.f64 a1 a1) (.f64 a1 (/.f64 a1 (sqrt.f64 -2)))))
(.f64 (.f64 (sqrt.f64 -2) a1) (.f64 a1 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 a1 (.f64 (sqrt.f64 -2) (*.f64 (pow.f64 a1 3) (sqrt.f64 -1/2))))
(.f64 (sqrt.f64 -2) (.f64 (pow.f64 a1 4) (sqrt.f64 -1/2)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (/.f64 a1 (pow.f64 -2 1/4))) (/.f64 a1 (pow.f64 -2 1/4)))
(.f64 (/.f64 a1 (pow.f64 -2 1/4)) (/.f64 (.f64 (pow.f64 a1 3) (sqrt.f64 -1/2)) (pow.f64 -2 1/4)))
(.f64 (sqrt.f64 -1/2) (.f64 (*.f64 a1 a1) (/.f64 a1 (/.f64 (pow.f64 -2 1/2) a1))))
(.f64 (sqrt.f64 -1/2) (.f64 (.f64 a1 a1) (.f64 a1 (/.f64 a1 (sqrt.f64 -2)))))
(.f64 (.f64 (.f64 (sqrt.f64 -2) a1) (.f64 (sqrt.f64 -2) a1)) (*.f64 a1 a1))
(.f64 (.f64 a1 (sqrt.f64 -2)) (.f64 (.f64 a1 (sqrt.f64 -2)) (*.f64 a1 a1)))
(*.f64 (pow.f64 a1 4) -2)
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) a1) (*.f64 (sqrt.f64 -2) a1))
(.f64 a1 (.f64 (sqrt.f64 -2) (*.f64 (pow.f64 a1 3) (sqrt.f64 -1/2))))
(.f64 (sqrt.f64 -2) (.f64 (pow.f64 a1 4) (sqrt.f64 -1/2)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (*.f64 (sqrt.f64 -2) a1)) a1)
(.f64 a1 (.f64 (sqrt.f64 -2) (*.f64 (pow.f64 a1 3) (sqrt.f64 -1/2))))
(.f64 (sqrt.f64 -2) (.f64 (pow.f64 a1 4) (sqrt.f64 -1/2)))
(.f64 (.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4)))) (cbrt.f64 (.f64 (*.f64 a1 a1) (sqrt.f64 -1/2))))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (.f64 (.f64 a1 (.f64 a1 (sqrt.f64 -1/2))) (cbrt.f64 (.f64 a1 (*.f64 a1 (sqrt.f64 -1/2))))))
(.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 a1 -4))) (pow.f64 (cbrt.f64 (.f64 a1 (.f64 a1 (sqrt.f64 -1/2)))) 4))
(pow.f64 (.f64 (.f64 a1 a1) (sqrt.f64 -1/2)) -2)
(pow.f64 (.f64 a1 (.f64 a1 (sqrt.f64 -1/2))) -2)
(pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 1)
(*.f64 -1/2 (pow.f64 a1 -4))
(pow.f64 (cbrt.f64 (*.f64 -1/2 (pow.f64 a1 -4))) 3)
(*.f64 -1/2 (pow.f64 a1 -4))
(pow.f64 (*.f64 (pow.f64 a1 -8) 1/4) -1/2)
(pow.f64 (*.f64 1/4 (pow.f64 a1 -8)) -1/2)
(pow.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3) 1/3)
(*.f64 -1/2 (pow.f64 a1 -4))
(pow.f64 (/.f64 -2 (pow.f64 a1 -4)) -1)
(*.f64 -1/2 (pow.f64 a1 -4))
(neg.f64 (*.f64 -1/2 (pow.f64 a1 -4)))
(*.f64 1/2 (pow.f64 a1 -4))
(sqrt.f64 (*.f64 (pow.f64 a1 -8) 1/4))
(sqrt.f64 (*.f64 1/4 (pow.f64 a1 -8)))
(log.f64 (sqrt.f64 (exp.f64 (pow.f64 a1 -4))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (pow.f64 a1 -4)))))
(*.f64 -1/2 (pow.f64 a1 -4))
(cbrt.f64 (pow.f64 (*.f64 -1/2 (pow.f64 a1 -4)) 3))
(*.f64 -1/2 (pow.f64 a1 -4))
(expm1.f64 (log1p.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(*.f64 -1/2 (pow.f64 a1 -4))
(exp.f64 (log.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(*.f64 -1/2 (pow.f64 a1 -4))
(exp.f64 (.f64 (log.f64 (.f64 -1/2 (pow.f64 a1 -4))) 1))
(*.f64 -1/2 (pow.f64 a1 -4))
(log1p.f64 (expm1.f64 (*.f64 -1/2 (pow.f64 a1 -4))))
(*.f64 -1/2 (pow.f64 a1 -4))

eval90.0ms (0.8%)

Compiler: Compiled 4599 to 3152 computations (31.5% saved)

prune82.0ms (0.7%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	406	6	412
Fresh	0	5	5
Picked	1	4	5
Done	1	6	7
Total	408	21	429

Accuracy

100.0%

Counts

429 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.2%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
✓	74.3%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	99.2%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	74.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	14.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	14.4%	(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
✓	98.5%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	74.3%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	73.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	14.4%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓	64.7%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.3%	(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
	15.9%	(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.3%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
	74.3%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	99.2%	(.f64 (neg.f64 a2) (/.f64 (.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
✓	74.3%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	74.3%	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
	14.4%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	9.9%	(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))

Compiler

Compiled 659 to 405 computations (38.5% saved)

regimes151.0ms (1.3%)

Counts

38 → 1

Calls

Call 1

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

Outputs
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))

Calls

8 calls:

29.0ms	a2
23.0ms	th
19.0ms	a1
18.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.7%	1	`a1`
99.7%	1	`a2`
99.7%	1	`th`
99.7%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
99.7%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.7%	1	`(cos.f64 th)`
99.7%	1	`(*.f64 a1 a1)`
99.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes235.0ms (2%)

Counts

33 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (neg.f64 a2) (/.f64 (.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(*.f64 (/.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) a2)) (pow.f64 2 1/4)) (cos.f64 th))
(.f64 (sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Outputs
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Calls

7 calls:

75.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
32.0ms	a2
31.0ms	a1
30.0ms	th
26.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes173.0ms (1.5%)

Counts

28 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (neg.f64 a2) (/.f64 (.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Calls

7 calls:

76.0ms	(*.f64 a2 a2)
22.0ms	(cos.f64 th)
16.0ms	a1
15.0ms	th
15.0ms	a2

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.6%	1	`(cos.f64 th)`
99.6%	1	`(*.f64 a1 a1)`
99.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes132.0ms (1.1%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (neg.f64 a2) (/.f64 (.f64 a2 (cos.f64 th)) (neg.f64 (sqrt.f64 2))))

Outputs
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))

Calls

7 calls:

40.0ms	a1
34.0ms	a2
13.0ms	th
12.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
11.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes122.0ms (1%)

Counts

20 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))

Outputs
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))

Calls

7 calls:

30.0ms	(*.f64 a2 a2)
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
18.0ms	th
16.0ms	(*.f64 a1 a1)
13.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes71.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Outputs
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Calls

7 calls:

16.0ms	a1
11.0ms	a2
11.0ms	th
9.0ms	(*.f64 a2 a2)
9.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.2%	1	`a1`
99.2%	1	`a2`
99.2%	1	`th`
99.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a1 a1)`
99.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes126.0ms (1.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (.f64 th (.f64 th -1/2))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)

Outputs
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Calls

5 calls:

46.0ms	a1
34.0ms	a2
17.0ms	(*.f64 a2 a2)
16.0ms	(*.f64 a1 a1)
10.0ms	th

Results

Accuracy	Segments	Branch
74.4%	1	`a1`
74.4%	1	`a2`
74.4%	1	`(*.f64 a1 a1)`
74.4%	1	`(*.f64 a2 a2)`
74.4%	1	`th`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes41.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (neg.f64 a1) (/.f64 (neg.f64 (sqrt.f64 2)) a1))
(sqrt.f64 (.f64 (.f64 a1 a1) (.f64 (.f64 a1 a1) -1/2)))

Outputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Calls

5 calls:

12.0ms	th
10.0ms	a1
7.0ms	a2
7.0ms	(*.f64 a2 a2)
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
74.3%	1	`th`
74.3%	1	`a1`
74.3%	1	`(*.f64 a1 a1)`
74.3%	1	`a2`
74.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes25.0ms (0.2%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

Outputs
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))

Calls

3 calls:

18.0ms	a2
3.0ms	th
3.0ms	a1

Results

Accuracy	Segments	Branch
74.3%	1	`th`
74.3%	1	`a1`
74.3%	1	`a2`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	259
1	46	259

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))

Outputs
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (cos.f64 th) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))

Compiler

Compiled 115 to 85 computations (26.1% saved)

soundness2.4s (20.3%)

Rules

3602×	`fma-def`
3602×	`fma-def`
1898×	`prod-diff`
1898×	`prod-diff`
1440×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	18	110
1	388	104
2	4821	104
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	477	16462
1	1309	15732
2	5779	15732
0	945	27963
1	2787	26345
0	27	261
1	597	251
2	7411	251
0	27	261
1	597	251
2	7411	251
0	18	110
1	388	104
2	4821	104
0	477	16462
1	1309	15732
2	5779	15732
0	477	16462
1	1309	15732
2	5779	15732

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 713 to 393 computations (44.9% saved)

end0.0ms (0%)

preprocess217.0ms (1.8%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 346 to 222 computations (35.8% saved)

analyze0.0ms (0%)

sample3.2s (26.9%)

preprocess307.0ms (2.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize102.0ms (0.9%)

series13.0ms (0.1%)

rewrite112.0ms (1%)

simplify178.0ms (1.5%)

eval323.0ms (2.7%)

prune94.0ms (0.8%)

localize351.0ms (3%)

series122.0ms (1%)

rewrite365.0ms (3.1%)

simplify385.0ms (3.3%)

eval486.0ms (4.1%)

prune272.0ms (2.3%)

localize242.0ms (2.1%)

series15.0ms (0.1%)

rewrite119.0ms (1%)

simplify387.0ms (3.3%)

eval346.0ms (2.9%)

prune96.0ms (0.8%)

localize188.0ms (1.6%)

series6.0ms (0%)

rewrite73.0ms (0.6%)

simplify178.0ms (1.5%)

eval90.0ms (0.8%)

prune82.0ms (0.7%)

regimes151.0ms (1.3%)

regimes235.0ms (2%)

regimes173.0ms (1.5%)

regimes132.0ms (1.1%)

regimes122.0ms (1%)

regimes71.0ms (0.6%)

regimes126.0ms (1.1%)

regimes41.0ms (0.4%)

regimes25.0ms (0.2%)

simplify9.0ms (0.1%)

soundness2.4s (20.3%)

end0.0ms (0%)

preprocess217.0ms (1.8%)

Profiling