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)

sample1.7s (18.1%)

Results

991.0ms	4616×	body	256	valid
728.0ms	3639×	body	256	infinite
1.0ms	1×	body	1024	valid

Bogosity

preprocess330.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3576×	`fma-def`
1008×	`div-sub`
982×	`associate-/l*`
962×	`distribute-lft-in`
808×	`distribute-lft-neg-in`

Problems

253×	No Errors
2×	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))`
1×	`(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	606
1	145	562
2	418	562
3	1075	562
4	2438	562
5	4173	562
6	5510	562
7	6051	562
8	6123	562
9	6134	562
10	6140	562
11	7363	562

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

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 82 to 45 computations (45.1% saved)

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize72.0ms (0.8%)

Localize:

Found 2 expressions with local error:

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

Compiler

Compiled 43 to 18 computations (58.1% saved)

series18.0ms (0.2%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	a1	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite169.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`prod-diff`
707×	`log1p-expm1-u`
707×	`expm1-log1p-u`
596×	`fma-def`
386×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	65
1	231	60
2	3198	60

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1474×	`fma-def`
1030×	`distribute-lft-in`
528×	`associate-r`
504×	`associate-l`
366×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	8284
1	923	8165
2	3642	8027

Stop Event

1×	node limit

Counts

154 → 181

Calls

Call 1

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

eval90.0ms (0.9%)

Compiler: Compiled 4162 to 2727 computations (34.5% saved)

prune79.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	171	10	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	171	11	182

Accuracy

100.0%

Counts

182 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (pow.f64 2 -1/2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
	99.0%	(fma.f64 (.f64 (pow.f64 a2 2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
▶	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	28.6%	(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
	99.5%	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
▶	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.6%	(fma.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (pow.f64 2 -1/2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
	99.0%	(fma.f64 (.f64 (pow.f64 a2 2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
▶	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	28.6%	(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
	99.5%	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
▶	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

Compiler

Compiled 780 to 598 computations (23.3% saved)

localize374.0ms (3.9%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	93.8%	(-.f64 (pow.f64 a1 2) (pow.f64 a2 2))
✓	88.7%	(-.f64 (pow.f64 a1 4) (pow.f64 a2 4))
✓	35.3%	(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
✓	99.7%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	99.6%	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	99.7%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(*.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓	98.4%	(/.f64 1 (neg.f64 (sqrt.f64 2)))
✓	99.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
✓	99.7%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.0%	(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
✓	99.0%	(/.f64 (cos.f64 th) (pow.f64 2 1/4))

Compiler

Compiled 253 to 136 computations (46.2% saved)

series106.0ms (1.1%)

Counts

14 → 248

Calls

66 calls:

Time	Variable		Point	Expression
32.0ms	th	@	inf	(/.f64 (cos.f64 th) (pow.f64 2 1/4))
20.0ms	th	@	inf	(/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4))
17.0ms	a1	@	-inf	(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
6.0ms	th	@	inf	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
2.0ms	a1	@	0	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

426×	`times-frac`
316×	`frac-times`
308×	`log1p-expm1-u`
308×	`expm1-log1p-u`
300×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	422
1	690	422

Stop Event

1×	node limit

Counts

14 → 392

Calls

Call 1

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

Outputs
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(-.f64 (.f64 (cos.f64 th) (/.f64 a1 (-.f64 a1 a2))) (.f64 (cos.f64 th) (/.f64 a2 (-.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))) -2)
(-.f64 (/.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(/.f64 -2 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (-.f64 a1 a2) -2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 -2 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a1)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (cos.f64 th))) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 a1 a2) (cos.f64 th))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (-.f64 a2 (.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (.f64 a1 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (cos.f64 th))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))) -2)
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))) (neg.f64 (-.f64 a1 a2)))
(/.f64 (cbrt.f64 (neg.f64 (-.f64 a1 a2))) (cbrt.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2))) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 a1 a2))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (-.f64 (.f64 a1 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 -2 (neg.f64 (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (-.f64 a1 a2) (neg.f64 (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) -2) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) -2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2))) (.f64 (-.f64 a1 a2) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 a1 a2))) (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
-2
-1
-1/2
-1/4
1/8
1/4
1/2
1
2
3
4
6
8
12
(+.f64 a1 a2)
(+.f64 a2 a1)
(+.f64 (.f64 a1 -2) (.f64 a2 -2))
(-.f64 (exp.f64 (log1p.f64 (+.f64 a1 a2))) -2)
(-.f64 (/.f64 a1 (-.f64 a1 a2)) (/.f64 a2 (-.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (+.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))))
(/.f64 (+.f64 a1 a2) (cbrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (-.f64 a2 (.f64 a1 a2))) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (sqrt.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (-.f64 a2 (.f64 a1 a2))) -2))
(/.f64 (+.f64 a1 a2) (.f64 -2 (+.f64 a1 (-.f64 a2 (.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (+.f64 (.f64 (.f64 a1 -2) (.f64 a1 -2)) (-.f64 (.f64 (.f64 a2 -2) (.f64 a2 -2)) (.f64 (.f64 a1 -2) (*.f64 a2 -2)))))
(/.f64 (+.f64 a1 a2) (+.f64 a2 (-.f64 a1 (*.f64 a2 a1))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (-.f64 a1 a2) -2))
(/.f64 (.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (.f64 (+.f64 a1 a2) (-.f64 a1 a2)) (.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) (-.f64 a1 a2)))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) (neg.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(pow.f64 (+.f64 a1 a2) -2)
(pow.f64 (+.f64 a1 a2) 1/3)
(sqrt.f64 (+.f64 a1 a2))
(fabs.f64 (+.f64 a1 a2))
(log.f64 (exp.f64 (+.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (+.f64 a1 a2))))
(cbrt.f64 (+.f64 a1 a2))
(expm1.f64 (log1p.f64 (+.f64 a1 a2)))
(hypot.f64 a1 a2)
(hypot.f64 a2 a1)
(exp.f64 (log.f64 (+.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (+.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (+.f64 a1 a2)))
(fma.f64 a1 a1 a2)
(fma.f64 a1 -2 (*.f64 a2 -2))
(fma.f64 a2 a2 a1)
(fma.f64 -2 a1 a2)
(fma.f64 -2 a2 a1)
-2
-1
-1/2
-1/4
1/8
1/4
1/2
1
2
3
4
6
8
12
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(/.f64 -2 (cos.f64 th))
(/.f64 (cos.f64 th) -2)
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(-.f64 (.f64 (cos.f64 th) (/.f64 a1 (-.f64 a1 a2))) (.f64 (cos.f64 th) (/.f64 a2 (-.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))) -2)
(-.f64 (/.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(/.f64 -2 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (-.f64 a1 a2) -2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 -2 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a1)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (cos.f64 th))) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 a1 a2) (cos.f64 th))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (-.f64 a2 (.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (.f64 a1 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (cos.f64 th))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))) -2)
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))) (neg.f64 (-.f64 a1 a2)))
(/.f64 (cbrt.f64 (neg.f64 (-.f64 a1 a2))) (cbrt.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2))) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 a1 a2))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (-.f64 (.f64 a1 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 -2 (neg.f64 (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (-.f64 a1 a2) (neg.f64 (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) -2) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) -2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2))) (.f64 (-.f64 a1 a2) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 a1 a2))) (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(*.f64 a2 (cos.f64 th))
(.f64 -2 (.f64 a2 (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 -2) (cos.f64 th))
(.f64 (/.f64 a2 -2) (.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 (/.f64 a2 -2)) (cos.f64 th))
(.f64 (/.f64 -2 a2) (.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (cos.f64 th))) -2))
(exp.f64 (-.f64 (log.f64 (cos.f64 th)) (log.f64 a2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(-.f64 (.f64 (cos.f64 th) (/.f64 a1 (-.f64 a1 a2))) (.f64 (cos.f64 th) (/.f64 a2 (-.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))) -2)
(-.f64 (/.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(.f64 -2 (.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (cos.f64 th) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (cos.f64 th) (-.f64 a1 a2))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (cos.f64 th))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (/.f64 (-.f64 a1 a2) -2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (/.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (/.f64 -2 (-.f64 a1 a2)) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (/.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 a1 a2))
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 a1 (neg.f64 a2))
(+.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(+.f64 (fma.f64 -2 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(*.f64 -2 (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (-.f64 a1 a2))
(*.f64 (/.f64 -2 (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (-.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 (.f64 (neg.f64 a2) (neg.f64 a2)) (.f64 a1 (neg.f64 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(pow.f64 (-.f64 a1 a2) -2)
(pow.f64 (-.f64 a1 a2) 1/3)
(sqrt.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a1 a2))
(log.f64 (exp.f64 (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (-.f64 a1 a2))))
(cbrt.f64 (-.f64 a1 a2))
(expm1.f64 (log1p.f64 (-.f64 a1 a2)))
(exp.f64 (log.f64 (-.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (-.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (-.f64 a1 a2)))
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 -2 a1 (neg.f64 a2))
(+.f64 a1 (neg.f64 a2))
(+.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(+.f64 (fma.f64 -2 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(*.f64 -2 (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (-.f64 a1 a2))
(*.f64 (/.f64 -2 (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (-.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 (.f64 (neg.f64 a2) (neg.f64 a2)) (.f64 a1 (neg.f64 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(pow.f64 (-.f64 a1 a2) -2)
(pow.f64 (-.f64 a1 a2) 1/3)
(sqrt.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a1 a2))
(log.f64 (exp.f64 (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (-.f64 a1 a2))))
(cbrt.f64 (-.f64 a1 a2))
(expm1.f64 (log1p.f64 (-.f64 a1 a2)))
(exp.f64 (log.f64 (-.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (-.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (-.f64 a1 a2)))
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 -2 a1 (neg.f64 a2))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))

simplify262.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-def`
632×	`times-frac`
588×	`cancel-sign-sub-inv`
562×	`associate-r`
556×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	505	24524
1	1487	21094
2	5790	20918

Stop Event

1×	node limit

Counts

640 → 439

Calls

Call 1

Inputs
(pow.f64 1/2 1/4)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (pow.f64 1/2 1/4))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 4))) (pow.f64 1/2 1/4)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 4))) (pow.f64 1/2 1/4))))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(pow.f64 1/4 1/4)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (pow.f64 1/4 1/4))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1/4 1/4) (pow.f64 th 4))) (pow.f64 1/4 1/4)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/4 1/4) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 1/4 1/4) (pow.f64 th 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1/4 1/4) (pow.f64 th 4))) (pow.f64 1/4 1/4))))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/4 1/4) (cos.f64 th))
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(fma.f64 a1 -2 (*.f64 a2 -2))
(fma.f64 a2 a2 a1)
(fma.f64 -2 a1 a2)
(fma.f64 -2 a2 a1)
-2
-1
-1/2
-1/4
1/8
1/4
1/2
1
2
3
4
6
8
12
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(/.f64 -2 (cos.f64 th))
(/.f64 (cos.f64 th) -2)
(/.f64 (cos.f64 th) (cos.f64 th))
(/.f64 (+.f64 (cos.f64 (+.f64 th th)) (cos.f64 (-.f64 th th))) -2)
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(-.f64 (.f64 (cos.f64 th) (/.f64 a1 (-.f64 a1 a2))) (.f64 (cos.f64 th) (/.f64 a2 (-.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))) -2)
(-.f64 (/.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(/.f64 -2 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 -2 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(/.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (-.f64 a1 a2) -2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2))) -2))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 -2 (+.f64 a1 (-.f64 a2 (*.f64 a1 a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2)))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a1)) (-.f64 (.f64 (.f64 (cos.f64 th) a2) (.f64 (cos.f64 th) a2)) (.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2)))))
(/.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 (.f64 (.f64 a1 (cos.f64 th)) (.f64 a1 (cos.f64 th))) (-.f64 (.f64 a2 (cos.f64 th)) (.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th))))))
(/.f64 (-.f64 a1 a2) (cos.f64 th))
(/.f64 (-.f64 a1 a2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (+.f64 a1 a2) (.f64 (+.f64 a1 (-.f64 a2 (.f64 a1 a2))) (cos.f64 th)))
(/.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (+.f64 a1 (-.f64 a2 (.f64 a1 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (cos.f64 th))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))) -2)
(/.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))) (neg.f64 (-.f64 a1 a2)))
(/.f64 (cbrt.f64 (neg.f64 (-.f64 a1 a2))) (cbrt.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2))) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 a1 a2))) (sqrt.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (-.f64 (.f64 a1 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))) (cos.f64 th)))
(/.f64 (.f64 (-.f64 a1 a2) -2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 -2 (neg.f64 (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (-.f64 a1 a2) (neg.f64 (-.f64 a1 a2))) (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (-.f64 a1 a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) -2) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (-.f64 a1 a2)) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (cos.f64 th) (-.f64 a1 a2))))
(/.f64 (.f64 (neg.f64 (-.f64 a1 a2)) (.f64 (cos.f64 th) (-.f64 a1 a2))) (.f64 (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) -2) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(/.f64 (.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (neg.f64 (-.f64 a1 a2))) (.f64 (-.f64 a1 a2) (neg.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 a1 a2))) (neg.f64 (neg.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) -2)
(*.f64 a2 (cos.f64 th))
(.f64 -2 (.f64 a2 (cos.f64 th)))
(.f64 (cos.f64 th) (.f64 a2 (cos.f64 th)))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(*.f64 (/.f64 a2 -2) (cos.f64 th))
(.f64 (/.f64 a2 -2) (.f64 a2 (cos.f64 th)))
(*.f64 (sqrt.f64 (/.f64 a2 -2)) (cos.f64 th))
(.f64 (/.f64 -2 a2) (.f64 a2 (cos.f64 th)))
(pow.f64 (*.f64 a2 (cos.f64 th)) -2)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1/3)
(sqrt.f64 (*.f64 a2 (cos.f64 th)))
(fabs.f64 (*.f64 a2 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (*.f64 a2 (cos.f64 th)))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (cos.f64 th))) -2))
(exp.f64 (-.f64 (log.f64 (cos.f64 th)) (log.f64 a2)))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))
(+.f64 (.f64 (cos.f64 th) a1) (.f64 (cos.f64 th) a2))
(+.f64 (.f64 a1 (cos.f64 th)) (.f64 a2 (cos.f64 th)))
(-.f64 (.f64 (cos.f64 th) (/.f64 a1 (-.f64 a1 a2))) (.f64 (cos.f64 th) (/.f64 a2 (-.f64 a1 a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))) -2)
(-.f64 (/.f64 a1 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(.f64 -2 (.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (cos.f64 th) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (cos.f64 th) (-.f64 a1 a2))
(*.f64 (cos.f64 th) (+.f64 a1 a2))
(.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (cos.f64 th))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (cos.f64 th))
(.f64 (+.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (+.f64 a1 a2) (/.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (/.f64 (-.f64 a1 a2) -2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (/.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (/.f64 -2 (-.f64 a1 a2)) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(*.f64 (/.f64 (cos.f64 th) (-.f64 a1 a2)) (+.f64 a1 a2))
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) -2)
(pow.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(fabs.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))))
(cbrt.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (-.f64 a1 a2))) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (-.f64 a1 a2))))
(fma.f64 a1 (cos.f64 th) (*.f64 a2 (cos.f64 th)))
(fma.f64 (cos.f64 th) a1 (*.f64 (cos.f64 th) a2))
(+.f64 a1 (neg.f64 a2))
(+.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(+.f64 (fma.f64 -2 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(*.f64 -2 (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (-.f64 a1 a2))
(*.f64 (/.f64 -2 (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (-.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 (.f64 (neg.f64 a2) (neg.f64 a2)) (.f64 a1 (neg.f64 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(pow.f64 (-.f64 a1 a2) -2)
(pow.f64 (-.f64 a1 a2) 1/3)
(sqrt.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a1 a2))
(log.f64 (exp.f64 (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (-.f64 a1 a2))))
(cbrt.f64 (-.f64 a1 a2))
(expm1.f64 (log1p.f64 (-.f64 a1 a2)))
(exp.f64 (log.f64 (-.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (-.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (-.f64 a1 a2)))
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 -2 a1 (neg.f64 a2))
(+.f64 a1 (neg.f64 a2))
(+.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(+.f64 (fma.f64 -2 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(*.f64 -2 (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (-.f64 a1 a2))
(*.f64 (/.f64 -2 (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (-.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 (.f64 (neg.f64 a2) (neg.f64 a2)) (.f64 a1 (neg.f64 a2)))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(pow.f64 (-.f64 a1 a2) -2)
(pow.f64 (-.f64 a1 a2) 1/3)
(sqrt.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a1 a2))
(log.f64 (exp.f64 (-.f64 a1 a2)))
(log.f64 (+.f64 -2 (expm1.f64 (-.f64 a1 a2))))
(cbrt.f64 (-.f64 a1 a2))
(expm1.f64 (log1p.f64 (-.f64 a1 a2)))
(exp.f64 (log.f64 (-.f64 a1 a2)))
(exp.f64 (*.f64 (log.f64 (-.f64 a1 a2)) -2))
(log1p.f64 (expm1.f64 (-.f64 a1 a2)))
(fma.f64 a1 a1 (neg.f64 a2))
(fma.f64 -2 a1 (neg.f64 a2))
(+.f64 -2 (cos.f64 th))
(-.f64 (cos.f64 th) -2)
(-.f64 0 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(log1p.f64 (expm1.f64 (cos.f64 th)))

Outputs
(pow.f64 1/2 1/4)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (pow.f64 1/2 1/4))
(fma.f64 -1/2 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 2)) (pow.f64 1/2 1/4))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 4))) (pow.f64 1/2 1/4)))
(fma.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2)) (fma.f64 1/24 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 4)) (pow.f64 1/2 1/4)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 6))) (+.f64 (.f64 1/24 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 4))) (pow.f64 1/2 1/4))))
(fma.f64 -1/2 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 2)) (fma.f64 -1/720 (.f64 (pow.f64 1/2 1/4) (pow.f64 th 6)) (fma.f64 1/24 (*.f64 (pow.f64 1/2 1/4) (pow.f64 th 4)) (pow.f64 1/2 1/4))))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(*.f64 (pow.f64 1/2 1/4) (cos.f64 th))
(pow.f64 1/4 1/4)
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(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 (+.f64 a1 1) a2))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (fma.f64 (+.f64 a1 1) a2 a1)))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (.f64 (+.f64 a1 1) a2)) (+.f64 a1 (*.f64 (+.f64 a1 1) a2))))
(/.f64 (-.f64 a1 a2) (*.f64 (fma.f64 (+.f64 a1 1) a2 a1) (fma.f64 (+.f64 a1 1) a2 a1)))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 (+.f64 a1 1) a2))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (fma.f64 (+.f64 a1 1) a2 a1)))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (.f64 (+.f64 a1 1) a2)) (+.f64 a1 a2)))
(/.f64 (/.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (fma.f64 (+.f64 a1 1) a2 a1))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (.f64 (+.f64 a1 1) a2)) (+.f64 a1 a2)))
(/.f64 (/.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (fma.f64 (+.f64 a1 1) a2 a1))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 (.f64 (neg.f64 a2) (neg.f64 a2)) (.f64 a1 (neg.f64 a2)))))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (*.f64 (neg.f64 a2) (-.f64 (neg.f64 a2) a1))))
(/.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) (-.f64 (neg.f64 a2) a1) a1))
(/.f64 (-.f64 a1 a2) (-.f64 a1 (*.f64 a2 (-.f64 (neg.f64 a2) a1))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 1) a2)))
(/.f64 (-.f64 a1 a2) (fma.f64 (+.f64 a1 1) a2 a1))
(pow.f64 (-.f64 a1 a2) -2)
(pow.f64 (-.f64 a1 a2) 1/3)
(cbrt.f64 (-.f64 a1 a2))
(sqrt.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a2 a1))
(log.f64 (exp.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(log.f64 (+.f64 -2 (expm1.f64 (-.f64 a1 a2))))
(cbrt.f64 (-.f64 a1 a2))
(expm1.f64 (log1p.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(exp.f64 (log.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(exp.f64 (*.f64 (log.f64 (-.f64 a1 a2)) -2))
(pow.f64 (-.f64 a1 a2) -2)
(log1p.f64 (expm1.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 2) a2)
(fma.f64 -2 a1 (neg.f64 a2))
(-.f64 (*.f64 a1 -2) a2)
(+.f64 a1 (neg.f64 a2))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(+.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) a2 a2))
(+.f64 (-.f64 a1 a2) (-.f64 a2 (pow.f64 a2 2)))
(+.f64 (fma.f64 a1 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(+.f64 (fma.f64 a1 a1 (.f64 a2 2)) (+.f64 (.f64 a2 2) (*.f64 a2 -2)))
(+.f64 (fma.f64 a1 a1 (.f64 2 a2)) (.f64 a2 0))
(+.f64 0 (fma.f64 a1 a1 (*.f64 2 a2)))
(+.f64 (fma.f64 -2 a1 (neg.f64 (.f64 a2 -2))) (fma.f64 (neg.f64 a2) -2 (.f64 a2 -2)))
(+.f64 (+.f64 (.f64 a2 2) (.f64 a2 -2)) (fma.f64 -2 a1 (*.f64 a2 2)))
(+.f64 (.f64 -2 (-.f64 a1 a2)) (.f64 a2 0))
(*.f64 2 (-.f64 a2 a1))
(*.f64 -2 (-.f64 a1 a2))
(+.f64 (+.f64 (.f64 a2 2) (.f64 a2 -2)) (fma.f64 -2 a1 (*.f64 a2 2)))
(+.f64 (.f64 -2 (-.f64 a1 a2)) (.f64 a2 0))
(*.f64 2 (-.f64 a2 a1))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (-.f64 a1 a2))
(.f64 (-.f64 a1 a2) (+.f64 a1 (.f64 (+.f64 a1 1) a2)))
(*.f64 (-.f64 a1 a2) (fma.f64 (+.f64 a1 1) a2 a1))
(*.f64 (/.f64 -2 (+.f64 a1 a2)) (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (/.f64 -2 (+.f64 a1 a2)))
(*.f64 (/.f64 (-.f64 a1 a2) -2) (-.f64 a1 a2))
(*.f64 (-.f64 a1 a2) (/.f64 (-.f64 a1 a2) -2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2))))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 1) a2)))
(/.f64 (-.f64 a1 a2) (fma.f64 (+.f64 a1 1) a2 a1))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (+.f64 a1 (*.f64 (+.f64 a1 1) a2))))
(/.f64 (-.f64 a1 a2) (cbrt.f64 (fma.f64 (+.f64 a1 1) a2 a1)))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (.f64 (+.f64 a1 1) a2)) (+.f64 a1 (*.f64 (+.f64 a1 1) a2))))
(/.f64 (-.f64 a1 a2) (*.f64 (fma.f64 (+.f64 a1 1) a2 a1) (fma.f64 (+.f64 a1 1) a2 a1)))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (+.f64 a1 (*.f64 (+.f64 a1 1) a2))))
(/.f64 (-.f64 a1 a2) (sqrt.f64 (fma.f64 (+.f64 a1 1) a2 a1)))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 a2) (+.f64 a1 (+.f64 a2 (.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (.f64 (+.f64 a1 1) a2)) (+.f64 a1 a2)))
(/.f64 (/.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (fma.f64 (+.f64 a1 1) a2 a1))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (+.f64 a2 (.f64 a1 a2))) (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (.f64 (+.f64 a1 (.f64 (+.f64 a1 1) a2)) (+.f64 a1 a2)))
(/.f64 (/.f64 (-.f64 a1 a2) (+.f64 a1 a2)) (fma.f64 (+.f64 a1 1) a2 a1))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (-.f64 (.f64 (neg.f64 a2) (neg.f64 a2)) (.f64 a1 (neg.f64 a2)))))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (*.f64 (neg.f64 a2) (-.f64 (neg.f64 a2) a1))))
(/.f64 (-.f64 a1 a2) (fma.f64 (neg.f64 a2) (-.f64 (neg.f64 a2) a1) a1))
(/.f64 (-.f64 a1 a2) (-.f64 a1 (*.f64 a2 (-.f64 (neg.f64 a2) a1))))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 a2)))
(/.f64 (-.f64 a1 a2) (+.f64 a1 a2))
(/.f64 (neg.f64 (-.f64 a1 a2)) (neg.f64 (+.f64 a1 (+.f64 a2 (*.f64 a1 a2)))))
(/.f64 (-.f64 a1 a2) (+.f64 a1 (*.f64 (+.f64 a1 1) a2)))
(/.f64 (-.f64 a1 a2) (fma.f64 (+.f64 a1 1) a2 a1))
(pow.f64 (-.f64 a1 a2) -2)
(pow.f64 (-.f64 a1 a2) 1/3)
(cbrt.f64 (-.f64 a1 a2))
(sqrt.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a1 a2))
(fabs.f64 (-.f64 a2 a1))
(log.f64 (exp.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(log.f64 (+.f64 -2 (expm1.f64 (-.f64 a1 a2))))
(cbrt.f64 (-.f64 a1 a2))
(expm1.f64 (log1p.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(exp.f64 (log.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(exp.f64 (*.f64 (log.f64 (-.f64 a1 a2)) -2))
(pow.f64 (-.f64 a1 a2) -2)
(log1p.f64 (expm1.f64 (-.f64 a1 a2)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 th) a1) (-.f64 a1 a2)) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) a2))) (*.f64 (cos.f64 th) (-.f64 a1 a2)))
(-.f64 a1 a2)
(fma.f64 a1 a1 (neg.f64 a2))
(-.f64 (pow.f64 a1 2) a2)
(fma.f64 -2 a1 (neg.f64 a2))
(-.f64 (*.f64 a1 -2) a2)
(+.f64 -2 (cos.f64 th))
(+.f64 (cos.f64 th) -2)
(-.f64 (cos.f64 th) -2)
(+.f64 (cos.f64 th) 2)
(+.f64 2 (cos.f64 th))
(-.f64 0 (cos.f64 th))
(neg.f64 (cos.f64 th))
(-.f64 (/.f64 0 (cos.f64 th)) (cos.f64 th))
(neg.f64 (cos.f64 th))
(*.f64 -2 (cos.f64 th))
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) -2)
(*.f64 (cos.f64 th) (cos.f64 th))
(pow.f64 (cos.f64 th) -2)
(pow.f64 (cos.f64 th) 1/3)
(cbrt.f64 (cos.f64 th))
(neg.f64 (cos.f64 th))
(sqrt.f64 (cos.f64 th))
(fabs.f64 (cos.f64 th))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(log.f64 (+.f64 -2 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (cos.f64 th))
(cos.f64 th)
(expm1.f64 (log.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) -2))
(pow.f64 (cos.f64 th) -2)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)

eval496.0ms (5.2%)

Compiler: Compiled 8047 to 4545 computations (43.5% saved)

prune171.0ms (1.8%)

Pruning

30 alts after pruning (26 fresh and 4 done)

	Pruned	Kept	Total
New	428	22	450
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	431	30	461

Accuracy

100.0%

Counts

461 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(fma.f64 (.f64 (pow.f64 a2 2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
	39.3%	(fma.f64 a2 a2 a1)
✓	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	67.5%	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	18.1%	(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
	2.6%	(/.f64 (+.f64 a1 a2) -2)
▶	99.5%	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	5.7%	(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
	2.6%	(-.f64 a1 a2)
▶	5.7%	(+.f64 a2 a1)
	67.6%	(.f64 (pow.f64 1/4 1/4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.5%	(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th)))
	20.9%	(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.7%	(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	46.8%	(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
▶	59.7%	(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
	46.8%	(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.9%	(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.5%	(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.7%	(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	20.9%	(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.6%	(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	2.6%	(*.f64 -2 (+.f64 a1 a2))
	3.8%	1
	1.9%	-2
	99.0%	(fma.f64 (.f64 (pow.f64 a2 2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
	39.3%	(fma.f64 a2 a2 a1)
✓	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	67.5%	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	18.1%	(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
	2.6%	(/.f64 (+.f64 a1 a2) -2)
▶	99.5%	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	5.7%	(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
	2.6%	(-.f64 a1 a2)
▶	5.7%	(+.f64 a2 a1)
	67.6%	(.f64 (pow.f64 1/4 1/4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	99.5%	(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th)))
	20.9%	(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.7%	(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	46.8%	(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
▶	59.7%	(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
	46.8%	(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.9%	(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.5%	(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.7%	(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	20.9%	(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.6%	(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	2.6%	(*.f64 -2 (+.f64 a1 a2))
	3.8%	1
	1.9%	-2

Compiler

Compiled 1354 to 970 computations (28.4% saved)

localize176.0ms (1.8%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 127 to 43 computations (66.1% saved)

series13.0ms (0.1%)

Counts

7 → 140

Calls

45 calls:

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

rewrite131.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`log1p-expm1-u`
660×	`expm1-udef`
660×	`log1p-udef`
378×	`associate-r`
258×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	206
1	411	192
2	5654	192

Stop Event

1×	node limit

Counts

7 → 183

Calls

Call 1

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

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

simplify181.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1170×	`associate-r`
1034×	`log-prod`
976×	`associate-l`
654×	`fma-neg`
650×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	533	13840
1	1436	13333
2	6401	13331

Stop Event

1×	node limit

Counts

323 → 327

Calls

Call 1

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

eval128.0ms (1.3%)

Compiler: Compiled 5757 to 3754 computations (34.8% saved)

prune127.0ms (1.3%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	322	5	327
Fresh	6	15	21
Picked	2	3	5
Done	0	4	4
Total	330	27	357

Accuracy

100.0%

Counts

357 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.3%	(fma.f64 a2 a2 a1)
	46.5%	(pow.f64 (-.f64 a1 a2) 2)
✓	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	67.5%	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	2.6%	(/.f64 (+.f64 a1 a2) -2)
	5.7%	(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
▶	2.6%	(-.f64 a1 a2)
✓	5.7%	(+.f64 a2 a1)
	20.9%	(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	59.7%	(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
	99.5%	(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.5%	(.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 1/2))
	67.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	59.7%	(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
▶	46.8%	(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.9%	(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.5%	(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.7%	(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	20.9%	(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	20.6%	(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	2.6%	(*.f64 -2 (+.f64 a1 a2))
	3.8%	1
	1.9%	-2
	39.3%	(fma.f64 a2 a2 a1)
	46.5%	(pow.f64 (-.f64 a1 a2) 2)
✓	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	67.5%	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	2.6%	(/.f64 (+.f64 a1 a2) -2)
	5.7%	(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
▶	2.6%	(-.f64 a1 a2)
✓	5.7%	(+.f64 a2 a1)
	20.9%	(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	59.7%	(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
	99.5%	(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.5%	(.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 1/2))
	67.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	59.7%	(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
▶	46.8%	(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.9%	(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.5%	(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.7%	(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	20.9%	(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	20.6%	(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	2.6%	(*.f64 -2 (+.f64 a1 a2))
	3.8%	1
	1.9%	-2

Compiler

Compiled 1004 to 712 computations (29.1% saved)

localize146.0ms (1.5%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 122 to 27 computations (77.9% saved)

series10.0ms (0.1%)

Counts

5 → 136

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	inf	(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	th	@	0	(*.f64 (cos.f64 th) (-.f64 a1 a2))
0.0ms	a1	@	-inf	(*.f64 (cos.f64 th) (-.f64 a1 a2))
0.0ms	th	@	inf	(*.f64 (cos.f64 th) (-.f64 a1 a2))
0.0ms	th	@	0	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`log1p-expm1-u`
768×	`expm1-log1p-u`
546×	`expm1-udef`
546×	`log1p-udef`
328×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	165
1	322	143
2	4443	143

Stop Event

1×	node limit

Counts

5 → 107

Calls

Call 1

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1742×	`times-frac`
840×	`associate-r`
832×	`associate-l`
674×	`log-prod`
574×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	10241
1	985	9762
2	4460	9752

Stop Event

1×	node limit

Counts

243 → 225

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

eval102.0ms (1.1%)

Compiler: Compiled 4242 to 2536 computations (40.2% saved)

prune59.0ms (0.6%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	2	13	15
Picked	1	4	5
Done	0	7	7
Total	226	26	252

Accuracy

100.0%

Counts

252 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	67.5%	(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
	2.6%	(/.f64 (+.f64 a1 a2) -2)
	5.7%	(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
✓	2.6%	(-.f64 a1 a2)
✓	5.7%	(+.f64 a2 a1)
	20.9%	(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	46.5%	(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
	59.7%	(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
	99.5%	(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.5%	(.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 1/2))
	67.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	59.7%	(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
✓	46.8%	(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.9%	(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	45.5%	(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	20.7%	(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	20.9%	(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	20.6%	(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	2.6%	(*.f64 -2 (+.f64 a1 a2))
	3.8%	1
	1.9%	-2

Compiler

Compiled 722 to 416 computations (42.4% saved)

regimes198.0ms (2.1%)

Counts

41 → 1

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (pow.f64 1/4 1/4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (neg.f64 (cos.f64 th)) (/.f64 1 (neg.f64 (sqrt.f64 2)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 1/2))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (pow.f64 1/4 1/4) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))
(+.f64 (.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 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))) (sqrt.f64 2))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (pow.f64 a1 2) (pow.f64 a2 2))))
(fma.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (pow.f64 2 -1/2) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))
(fma.f64 (.f64 (pow.f64 a2 2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 a1 2)))

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

Calls

8 calls:

44.0ms	a2
31.0ms	a1
21.0ms	th
21.0ms	(*.f64 a2 a2)
19.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

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 485 to 248 computations (48.9% saved)

regimes88.0ms (0.9%)

Counts

27 → 1

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (pow.f64 1/4 1/4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

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

Calls

6 calls:

18.0ms	th
15.0ms	a1
15.0ms	a2
12.0ms	(*.f64 a2 a2)
12.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 241 to 98 computations (59.3% saved)

regimes123.0ms (1.3%)

Counts

26 → 1

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (pow.f64 1/4 1/4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)

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

Calls

6 calls:

38.0ms	(cos.f64 th)
21.0ms	(*.f64 a2 a2)
17.0ms	th
15.0ms	a2
13.0ms	a1

Results

Accuracy	Segments	Branch
99.5%	1	`a1`
99.5%	1	`a2`
99.5%	1	`th`
99.5%	1	`(cos.f64 th)`
99.5%	1	`(*.f64 a1 a1)`
99.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 228 to 94 computations (58.8% saved)

regimes207.0ms (2.2%)

Counts

25 → 2

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (-.f64 a1 a2)))
(.f64 (pow.f64 1/4 1/4) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (+.f64 1 (cos.f64 (.f64 th 2))) -2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(.f64 (.f64 a2 (cos.f64 th)) (*.f64 a2 (cos.f64 th)))

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

Calls

6 calls:

68.0ms	a1
40.0ms	(cos.f64 th)
27.0ms	a2
26.0ms	th
20.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
72.1%	2	`a1`
78.6%	2	`a2`
80.6%	2	`th`
80.8%	2	`(cos.f64 th)`
72.1%	2	`(*.f64 a1 a1)`
78.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 219 to 89 computations (59.4% saved)

regimes64.0ms (0.7%)

Counts

18 → 1

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))

Outputs
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))

Calls

6 calls:

12.0ms	(*.f64 a2 a2)
11.0ms	a2
11.0ms	a1
10.0ms	th
10.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
59.7%	1	`a1`
59.7%	1	`(*.f64 a1 a1)`
59.7%	1	`a2`
59.7%	1	`(*.f64 a2 a2)`
59.7%	1	`th`
59.7%	1	`(cos.f64 th)`

Compiler

Compiled 145 to 60 computations (58.6% saved)

regimes62.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))

Outputs
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))

Calls

6 calls:

12.0ms	(*.f64 a2 a2)
11.0ms	a1
10.0ms	a2
9.0ms	th
9.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
59.7%	1	`a1`
59.7%	1	`th`
59.7%	1	`(*.f64 a1 a1)`
59.7%	1	`a2`
59.7%	1	`(*.f64 a2 a2)`
59.7%	1	`(cos.f64 th)`

Compiler

Compiled 135 to 59 computations (56.3% saved)

regimes72.0ms (0.8%)

Counts

16 → 2

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 a2 a2 a1)
(pow.f64 (-.f64 a1 a2) 2)

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

Calls

5 calls:

26.0ms	th
17.0ms	(*.f64 a2 a2)
11.0ms	a2
9.0ms	a1
6.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
46.8%	1	`a2`
49.6%	2	`th`
46.8%	1	`(*.f64 a2 a2)`
46.8%	1	`a1`
46.8%	1	`(*.f64 a1 a1)`

Compiler

Compiled 121 to 51 computations (57.9% saved)

regimes43.0ms (0.5%)

Counts

13 → 2

Calls

Call 1

Inputs
-2
1
(+.f64 a2 a1)
(-.f64 a1 a2)
(*.f64 -2 (+.f64 a1 a2))
(/.f64 (+.f64 a1 a2) -2)
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/2 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 -1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/8 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 1/4 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

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

Calls

1 calls:

41.0ms

th

Results

Accuracy	Segments	Branch
49.5%	2	`th`

Compiler

Compiled 83 to 32 computations (61.4% saved)

regimes26.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(.f64 -1 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Calls

1 calls:

24.0ms

th

Results

Accuracy	Segments	Branch
49.3%	2	`th`

Compiler

Compiled 47 to 24 computations (48.9% saved)

regimes21.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))

Calls

3 calls:

7.0ms	a2
6.0ms	th
6.0ms	a1

Results

Accuracy	Segments	Branch
46.5%	1	`a1`
46.5%	1	`a2`
46.5%	1	`th`

Compiler

Compiled 46 to 25 computations (45.7% saved)

regimes24.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)

Calls

3 calls:

10.0ms	a1
7.0ms	th
5.0ms	a2

Results

Accuracy	Segments	Branch
5.7%	1	`a1`
5.7%	1	`a2`
5.7%	1	`th`

Compiler

Compiled 39 to 24 computations (38.5% saved)

regimes18.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(+.f64 a2 a1)

Calls

3 calls:

6.0ms	a2
5.0ms	th
5.0ms	a1

Results

Accuracy	Segments	Branch
5.7%	1	`a1`
5.7%	1	`a2`
5.7%	1	`th`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes12.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
-2
1

Outputs
1

Calls

3 calls:

4.0ms	a1
3.0ms	th
3.0ms	a2

Results

Accuracy	Segments	Branch
3.8%	1	`a2`
3.8%	1	`a1`
3.8%	1	`th`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-2

Outputs
-2

Calls

3 calls:

4.0ms	a2
3.0ms	a1
3.0ms	th

Results

Accuracy	Segments	Branch
1.9%	1	`a2`
1.9%	1	`th`
1.9%	1	`a1`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.675620841482185	0.6830861135397303

Compiler

Compiled 27 to 20 computations (25.9% saved)

bsearch33.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	8.244321834539384e+67	1.9433603285730834e+70

Results

24.0ms	72×	body	256	valid
7.0ms	40×	body	256	infinite

Compiler

Compiled 210 to 146 computations (30.5% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	8.244321834539384e+67	1.9433603285730834e+70

Results

11.0ms	64×	body	256	valid
9.0ms	48×	body	256	infinite

Compiler

Compiled 196 to 125 computations (36.2% saved)

bsearch35.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	8.244321834539384e+67	1.9433603285730834e+70

Results

24.0ms	59×	body	256	valid
10.0ms	53×	body	256	infinite

Compiler

Compiled 196 to 125 computations (36.2% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

272×	`distribute-lft-neg-in`
184×	`unsub-neg`
168×	`neg-mul-1`
124×	`neg-sub0`
102×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	641
1	80	641
2	106	641
3	136	641
4	153	637
5	173	637
6	214	637
7	284	637
8	383	637
9	474	637
10	529	637
11	595	637
12	660	637
13	722	637
14	765	637
15	795	637
16	820	637
17	834	637
18	846	637

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
(if (<=.f64 (cos.f64 th) 6124895493223875/9007199254740992) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(+.f64 a2 a1)
1
-2

Outputs
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (*.f64 (sqrt.f64 1/2) (cos.f64 th)) a2) a2)
(.f64 a2 (.f64 a2 (*.f64 (cos.f64 th) (sqrt.f64 1/2))))
(if (<=.f64 (cos.f64 th) 6124895493223875/9007199254740992) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 (cos.f64 th) 6124895493223875/9007199254740992) (.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2))) (.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)))
(.f64 (-.f64 a1 a2) (.f64 (cos.f64 th) (neg.f64 a2)))
(.f64 (.f64 (cos.f64 th) a2) (-.f64 a2 a1))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) 1/2) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (.f64 -1/2 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) -1/2))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (.f64 -1 (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (neg.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(if (<=.f64 th 500000000000000036265718190764617563079187204823260977759105077739520) (.f64 (-.f64 a1 a2) (-.f64 a1 a2)) (-.f64 (.f64 a1 (neg.f64 a1)) (*.f64 a2 a2)))
(*.f64 (-.f64 a1 a2) (-.f64 a1 a2))
(/.f64 (neg.f64 (+.f64 a1 a2)) -2)
(/.f64 (-.f64 (neg.f64 a1) a2) -2)
(/.f64 (-.f64 (neg.f64 a2) a1) -2)
(+.f64 a2 a1)
(+.f64 a1 a2)
1
-2

Compiler

Compiled 199 to 123 computations (38.2% saved)

soundness2.9s (30.5%)

Rules

3576×	`fma-def`
1826×	`prod-diff`
1826×	`prod-diff`
1826×	`prod-diff`
1742×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	606
1	145	562
2	418	562
3	1075	562
4	2438	562
5	4173	562
6	5510	562
7	6051	562
8	6123	562
9	6134	562
10	6140	562
11	7363	562
0	18	65
1	231	60
2	3198	60
0	335	8284
1	923	8165
2	3642	8027
0	40	422
1	690	422
0	505	24524
1	1487	21094
2	5790	20918
0	40	422
1	690	422
0	505	24524
1	1487	21094
2	5790	20918
0	40	422
1	690	422
0	40	422
1	690	422
0	18	65
1	231	60
2	3198	60
0	40	422
1	690	422
0	40	422
1	690	422
0	40	422
1	690	422
0	40	422
1	690	422
0	359	10241
1	985	9762
2	4460	9752
0	505	24524
1	1487	21094
2	5790	20918
0	18	65
1	231	60
2	3198	60
0	27	206
1	411	192
2	5654	192
0	533	13840
1	1436	13333
2	6401	13331

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

Compiler

Compiled 1212 to 568 computations (53.1% saved)

end0.0ms (0%)

preprocess110.0ms (1.1%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 492 to 232 computations (52.8% saved)

Iter	Nodes	Cost
0	53	641
1	80	641
2	106	641
3	136	641
4	153	637
5	173	637
6	214	637
7	284	637
8	383	637
9	474	637
10	529	637
11	595	637
12	660	637
13	722	637
14	765	637
15	795	637
16	820	637
17	834	637
18	846	637

Iter	Nodes	Cost
0	53	641
1	80	641
2	106	641
3	136	641
4	153	637
5	173	637
6	214	637
7	284	637
8	383	637
9	474	637
10	529	637
11	595	637
12	660	637
13	722	637
14	765	637
15	795	637
16	820	637
17	834	637
18	846	637

analyze0.0ms (0%)

sample1.7s (18.1%)

preprocess330.0ms (3.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize72.0ms (0.8%)

series18.0ms (0.2%)

rewrite169.0ms (1.8%)

simplify112.0ms (1.2%)

eval90.0ms (0.9%)

prune79.0ms (0.8%)

localize374.0ms (3.9%)

series106.0ms (1.1%)

rewrite81.0ms (0.8%)

simplify262.0ms (2.7%)

eval496.0ms (5.2%)

prune171.0ms (1.8%)

localize176.0ms (1.8%)

series13.0ms (0.1%)

rewrite131.0ms (1.4%)

simplify181.0ms (1.9%)

eval128.0ms (1.3%)

prune127.0ms (1.3%)

localize146.0ms (1.5%)

series10.0ms (0.1%)

rewrite107.0ms (1.1%)

simplify131.0ms (1.4%)

eval102.0ms (1.1%)

prune59.0ms (0.6%)

regimes198.0ms (2.1%)

regimes88.0ms (0.9%)

regimes123.0ms (1.3%)

regimes207.0ms (2.2%)

regimes64.0ms (0.7%)

regimes62.0ms (0.7%)

regimes72.0ms (0.8%)

regimes43.0ms (0.5%)

regimes26.0ms (0.3%)

regimes21.0ms (0.2%)

regimes24.0ms (0.3%)

regimes18.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch0.0ms (0%)

bsearch33.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch35.0ms (0.4%)

simplify70.0ms (0.7%)

soundness2.9s (30.5%)

end0.0ms (0%)

preprocess110.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	53	641
1	80	641
2	106	641
3	136	641
4	153	637
5	173	637
6	214	637
7	284	637
8	383	637
9	474	637
10	529	637
11	595	637
12	660	637
13	722	637
14	765	637
15	795	637
16	820	637
17	834	637
18	846	637