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)

sample3.8s (27.3%)

Results

944.0ms	3050×	body	256	valid
820.0ms	1063×	body	1024	valid
756.0ms	855×	body	1024	infinite
681.0ms	2290×	body	256	infinite
287.0ms	516×	body	512	valid
255.0ms	481×	body	512	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess501.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

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

Problems

255×	No Errors
1×	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))`

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)))
▶	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 62 to 42 computations (32.3% saved)

localize131.0ms (0.9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.8%	(.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))
✓	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 81 to 26 computations (67.9% saved)

series20.0ms (0.1%)

Counts

6 → 160

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	a1	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
2.0ms	th	@	inf	(/.f64 (cos.f64 th) (sqrt.f64 2))
1.0ms	th	@	0	(/.f64 (cos.f64 th) (sqrt.f64 2))
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)))

rewrite131.0ms (0.9%)

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	140
1	388	130
2	4821	130

Stop Event

1×	node limit

Counts

6 → 320

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

simplify352.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-r`
1124×	`log-prod`
960×	`associate-l`
772×	`associate-/l*`
512×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	557	19048
1	1466	18536
2	6993	18536

Stop Event

1×	node limit

Counts

480 → 351

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

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

eval354.0ms (2.6%)

Compiler: Compiled 7073 to 3877 computations (45.2% saved)

prune82.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	342	9	351
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	344	9	353

Accuracy

100.0%

Counts

353 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.0%	(/.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))))
▶	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	99.4%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1)))
▶	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	60.2%	(.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)))
	99.2%	(.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)))
	99.4%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	70.0%	(/.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))))
▶	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	99.4%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1)))
▶	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	60.2%	(.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)))
	99.2%	(.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)))
	99.4%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 572 to 400 computations (30.1% saved)

localize653.0ms (4.7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1)))
✓	99.7%	(fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (.f64 a1 a1))
✓	99.7%	(*.f64 a2 (sqrt.f64 a2))
	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	99.9%	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	99.8%	(*.f64 a2 (cos.f64 th))
✓	99.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.6%	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))

Compiler

Compiled 180 to 66 computations (63.3% saved)

series71.0ms (0.5%)

Counts

11 → 186

Calls

60 calls:

Time	Variable		Point	Expression
7.0ms	th	@	0	(*.f64 a2 (cos.f64 th))
3.0ms	th	@	-inf	(*.f64 a2 (cos.f64 th))
3.0ms	a2	@	-inf	(fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (.f64 a1 a1))
3.0ms	a2	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1)))
3.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`add-sqr-sqrt`
596×	`pow1`
594×	`*-un-lft-identity`
574×	`associate-r`
562×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	249
1	621	211

Stop Event

1×	node limit

Counts

11 → 346

Calls

Call 1

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

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

simplify190.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-/l*`
846×	`fma-def`
724×	`times-frac`
680×	`*-commutative`
514×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	17380
1	2062	16770

Stop Event

1×	node limit

Counts

532 → 450

Calls

Call 1

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

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

eval423.0ms (3.1%)

Compiler: Compiled 16145 to 9126 computations (43.5% saved)

prune162.0ms (1.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	894	12	906
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	901	14	915

Accuracy

100.0%

Counts

915 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.9%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	60.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	12.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	99.4%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)))
▶	12.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	59.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	12.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	61.6%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.4%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
▶	99.4%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	60.2%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	59.9%	(.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	59.9%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	60.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	12.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	99.4%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)))
▶	12.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	59.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	12.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	61.6%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.4%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
▶	99.4%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	60.2%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	59.9%	(.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 652 to 488 computations (25.2% saved)

localize452.0ms (3.3%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.7%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	98.1%	(.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2))))
✓	90.2%	(.f64 (.f64 th th) a2)
✓	99.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	98.4%	(/.f64 1 (sqrt.f64 2))
✓	99.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.4%	(/.f64 (sqrt.f64 2) a1)
✓	99.8%	(*.f64 (cos.f64 th) a2)
✓	99.7%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
✓	99.3%	(*.f64 a2 (sqrt.f64 1/2))

Compiler

Compiled 130 to 68 computations (47.7% saved)

series20.0ms (0.1%)

Counts

10 → 156

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	0	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
2.0ms	a2	@	-inf	(.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2))))
2.0ms	a2	@	inf	(.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2))))
1.0ms	th	@	0	(.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2))))
1.0ms	a2	@	0	(.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2))))

rewrite157.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`expm1-udef`
572×	`add-sqr-sqrt`
554×	`pow1`
554×	`*-un-lft-identity`
524×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	196
1	599	188
2	7924	188

Stop Event

1×	node limit

Counts

10 → 295

Calls

Call 1

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

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

simplify209.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-r`
1238×	`log-prod`
654×	`*-commutative`
532×	`associate-/l*`
410×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	659	11675
1	1687	11261
2	6286	11261

Stop Event

1×	node limit

Counts

451 → 409

Calls

Call 1

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

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

eval181.0ms (1.3%)

Compiler: Compiled 6203 to 3855 computations (37.9% saved)

prune135.0ms (1%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	423	13	436
Fresh	2	5	7
Picked	1	4	5
Done	0	2	2
Total	426	24	450

Accuracy

100.0%

Counts

450 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
✓	59.9%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	60.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	12.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	60.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	12.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	12.0%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
	12.0%	(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
	59.4%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	20.0%	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
✓	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	60.0%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	12.0%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	61.6%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	99.4%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
✓	99.4%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
▶	60.0%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	60.2%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	12.0%	(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
	59.9%	(.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	60.0%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
	21.4%	(.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (*.f64 th th))))
	48.6%	(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
	59.9%	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
✓	59.9%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	60.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	12.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	60.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	12.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	12.0%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
	12.0%	(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
	59.4%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	20.0%	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
✓	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	60.0%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	12.0%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	61.6%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	99.4%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
✓	99.4%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
▶	60.0%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	60.2%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	12.0%	(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
	59.9%	(.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	60.0%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
	21.4%	(.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (*.f64 th th))))
	48.6%	(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))

Compiler

Compiled 990 to 758 computations (23.4% saved)

localize215.0ms (1.6%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 a2 th) (*.f64 a2 th))
✓	99.4%	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
✓	98.9%	(/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th)))
✓	99.8%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
✓	99.3%	(*.f64 (/.f64 1 a1) (sqrt.f64 2))
✓	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.6%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
✓	99.7%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
✓	99.6%	(*.f64 (cos.f64 th) (sqrt.f64 1/2))

Compiler

Compiled 114 to 60 computations (47.4% saved)

series13.0ms (0.1%)

Counts

9 → 148

Calls

39 calls:

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

rewrite192.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`expm1-udef`
856×	`log1p-udef`
516×	`add-sqr-sqrt`
500×	`pow1`
500×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	169
1	552	169
2	6922	169

Stop Event

1×	node limit

Counts

9 → 260

Calls

Call 1

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

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

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1440×	`log-prod`
990×	`fma-def`
798×	`associate-r`
762×	`cube-prod`
738×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	10346
1	1306	9372
2	5073	9348

Stop Event

1×	node limit

Counts

408 → 294

Calls

Call 1

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

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

eval88.0ms (0.6%)

Compiler: Compiled 3877 to 2730 computations (29.6% saved)

prune67.0ms (0.5%)

Pruning

27 alts after pruning (16 fresh and 11 done)

	Pruned	Kept	Total
New	289	5	294
Fresh	2	11	13
Picked	0	5	5
Done	0	6	6
Total	291	27	318

Accuracy

100.0%

Counts

318 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
✓	59.9%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	99.4%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	60.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	12.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	60.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	12.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	12.0%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
	12.0%	(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
	59.4%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	20.0%	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
	20.0%	(/.f64 -1/2 (.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a2))))
✓	99.4%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	60.0%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	12.0%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	21.4%	(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 th th))
	20.0%	(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) a2) (.f64 (.f64 th th) a2))
	61.6%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.4%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
✓	99.4%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
✓	60.0%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	60.2%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	12.0%	(*.f64 (neg.f64 a1) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)))
	59.9%	(.f64 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	60.0%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
	14.9%	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
	48.6%	(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))

Compiler

Compiled 759 to 485 computations (36.1% saved)

regimes181.0ms (1.3%)

Counts

42 → 1

Calls

Call 1

Inputs
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (/.f64 (sqrt.f64 2) a1))))
(*.f64 (neg.f64 a1) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (*.f64 th th))))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) a2) (.f64 (.f64 th th) a2))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a2 a2)) (.f64 th th))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 (.f64 a2 th) (*.f64 a2 th))))
(/.f64 -1/2 (.f64 (/.f64 1 a2) (/.f64 (sqrt.f64 2) (.f64 (*.f64 th th) a2))))
(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)))
(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (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 (expm1.f64 (log1p.f64 (sqrt.f64 1/2))) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.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)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 (.f64 a2 (sqrt.f64 a2)) (sqrt.f64 a2) (*.f64 a1 a1)))
(/.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))))

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

Calls

8 calls:

33.0ms	(*.f64 a2 a2)
24.0ms	th
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
22.0ms	(cos.f64 th)
21.0ms	a1

Results

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

Compiler

Compiled 494 to 280 computations (43.3% saved)

regimes135.0ms (1%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

7 calls:

18.0ms	th
18.0ms	a1
18.0ms	a2
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
15.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.4%	1	`a1`
99.4%	1	`a2`
99.4%	1	`th`
99.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.4%	1	`(cos.f64 th)`
99.4%	1	`(*.f64 a1 a1)`
99.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 348 to 212 computations (39.1% saved)

regimes124.0ms (0.9%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	th
27.0ms	a1
27.0ms	a2
22.0ms	(*.f64 a2 a2)
14.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.4%	2	`a1`
65.0%	2	`a2`
64.3%	2	`th`
64.4%	2	`(*.f64 a1 a1)`
65.0%	2	`(*.f64 a2 a2)`

Compiler

Compiled 272 to 169 computations (37.9% saved)

regimes112.0ms (0.8%)

Counts

22 → 4

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	th
33.0ms	a2
12.0ms	a1
10.0ms	(*.f64 a2 a2)
6.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
66.0%	4	`th`
60.2%	1	`a1`
60.2%	1	`(*.f64 a1 a1)`
62.2%	3	`a2`
60.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 221 to 138 computations (37.6% saved)

regimes28.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	(*.f64 a2 a2)
11.0ms	th

Results

Accuracy	Segments	Branch
60.2%	1	`(*.f64 a2 a2)`
60.2%	1	`th`

Compiler

Compiled 133 to 88 computations (33.8% saved)

regimes61.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	th
9.0ms	a1
7.0ms	(*.f64 a2 a2)
7.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
60.0%	1	`th`
60.0%	1	`a1`
60.0%	1	`(*.f64 a1 a1)`
60.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 133 to 91 computations (31.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -30.9b remaining (-120.7%)

Threshold costs -30.9b (-120.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a1
3.0ms	th
3.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
60.0%	1	`th`
60.0%	1	`a1`
60.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.975145898901416e+288	1.0712221186644396e+289

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch187.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
114.0ms	2.276598427003591e+252	7.95931367782852e+253
53.0ms	3.0769019082802308e+57	2.230175901158331e+58
19.0ms	3384055766.5295997	6810277591.739198

Results

69.0ms	66×	body	1024	valid
41.0ms	117×	body	256	valid
40.0ms	43×	body	1024	infinite
26.0ms	62×	body	256	infinite

Compiler

Compiled 542 to 416 computations (23.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	335
1	69	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 (.f64 a2 a2) 5000000000000000308639167639335784434971861554815056291550264252694066882698357794712695854722323983471552292257456306551729539271697808586910576768349361427712955105458094109306737151690687681363669298012313862249742312894517401540770056211835210095606628791592565251804447546056630075392) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2)))
(if (<=.f64 th 3800000000) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (if (<=.f64 th 15000000000000001247874097323866365742669319703553686634496) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))) (if (<=.f64 th 14999999999999999045380604066513876604638560991355110347259161085037234417079061323340080491880421366971552773914108538682725996247971503615658393614130008340272579554081857852193293656105997414530747960880994726166153937440699574361751954541073542414336) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 a2 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) a2))
(if (<=.f64 (.f64 a2 a2) 5000000000000000308639167639335784434971861554815056291550264252694066882698357794712695854722323983471552292257456306551729539271697808586910576768349361427712955105458094109306737151690687681363669298012313862249742312894517401540770056211835210095606628791592565251804447546056630075392) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2)))
(if (<=.f64 (.f64 a2 a2) 5000000000000000308639167639335784434971861554815056291550264252694066882698357794712695854722323983471552292257456306551729539271697808586910576768349361427712955105458094109306737151690687681363669298012313862249742312894517401540770056211835210095606628791592565251804447546056630075392) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 a2 (.f64 th th))))) (sqrt.f64 2)))
(if (<=.f64 th 3800000000) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (if (<=.f64 th 15000000000000001247874097323866365742669319703553686634496) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))) (if (<=.f64 th 14999999999999999045380604066513876604638560991355110347259161085037234417079061323340080491880421366971552773914108538682725996247971503615658393614130008340272579554081857852193293656105997414530747960880994726166153937440699574361751954541073542414336) (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))))
(if (<=.f64 th 3800000000) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (if (or (<=.f64 th 15000000000000001247874097323866365742669319703553686634496) (not (<=.f64 th 14999999999999999045380604066513876604638560991355110347259161085037234417079061323340080491880421366971552773914108538682725996247971503615658393614130008340272579554081857852193293656105997414530747960880994726166153937440699574361751954541073542414336))) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))) (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))
(.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 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 138 to 95 computations (31.2% saved)

soundness3.9s (28.4%)

Rules

3602×	`fma-def`
3602×	`fma-def`
1898×	`prod-diff`
1312×	`associate-r`
1312×	`associate-r`

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	734	17380
1	2062	16770
0	28	196
1	599	188
2	7924	188
0	659	11675
1	1687	11261
2	6286	11261
0	18	140
1	388	130
2	4821	130
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	557	19048
1	1466	18536
2	6993	18536
0	734	17380
1	2062	16770
0	659	11675
1	1687	11261
2	6286	11261
0	557	19048
1	1466	18536
2	6993	18536
0	28	196
1	599	188
2	7924	188
0	557	19048
1	1466	18536
2	6993	18536

Stop Event

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

Compiler

Compiled 558 to 343 computations (38.5% saved)

end0.0ms (0%)

preprocess220.0ms (1.6%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 412 to 248 computations (39.8% saved)

analyze0.0ms (0%)

sample3.8s (27.3%)

preprocess501.0ms (3.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize131.0ms (0.9%)

series20.0ms (0.1%)

rewrite131.0ms (0.9%)

simplify352.0ms (2.5%)

eval354.0ms (2.6%)

prune82.0ms (0.6%)

localize653.0ms (4.7%)

series71.0ms (0.5%)

rewrite125.0ms (0.9%)

simplify190.0ms (1.4%)

eval423.0ms (3.1%)

prune162.0ms (1.2%)

localize452.0ms (3.3%)

series20.0ms (0.1%)

rewrite157.0ms (1.1%)

simplify209.0ms (1.5%)

eval181.0ms (1.3%)

prune135.0ms (1%)

localize215.0ms (1.6%)

series13.0ms (0.1%)

rewrite192.0ms (1.4%)

simplify142.0ms (1%)

eval88.0ms (0.6%)

prune67.0ms (0.5%)

regimes181.0ms (1.3%)

regimes135.0ms (1%)

regimes124.0ms (0.9%)

regimes112.0ms (0.8%)

regimes28.0ms (0.2%)

regimes61.0ms (0.4%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch187.0ms (1.3%)

simplify9.0ms (0.1%)

soundness3.9s (28.4%)

end0.0ms (0%)

preprocess220.0ms (1.6%)

Profiling