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)

sample2.6s (24.7%)

Results

699.0ms	3129×	body	256	valid
545.0ms	1029×	body	1024	valid
506.0ms	2246×	body	256	infinite
480.0ms	921×	body	1024	infinite
199.0ms	496×	body	512	valid
146.0ms	432×	body	512	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess245.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 22 to 15 computations (31.8% saved)

eval1.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize285.0ms (2.7%)

Localize:

Found 6 expressions with local error:

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

Compiler

Compiled 81 to 26 computations (67.9% saved)

series42.0ms (0.4%)

Counts

6 → 160

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	a1	@	-inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
4.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
3.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
3.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
3.0ms	a1	@	0	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))

rewrite153.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	140
1	388	130
2	4821	130

Stop Event

1×	node limit

Counts

6 → 320

Calls

Call 1

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

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

simplify442.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1124×	`log-prod`
1118×	`associate-r`
936×	`associate-l`
764×	`associate-/l*`
520×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	19084
1	1465	18596
2	6888	18596

Stop Event

1×	node limit

Counts

480 → 345

Calls

Call 1

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

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

eval122.0ms (1.2%)

Compiler: Compiled 6986 to 3816 computations (45.4% saved)

prune83.0ms (0.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	336	9	345
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	337	10	347

Accuracy

100.0%

Counts

347 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
	98.7%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
	28.9%	(.f64 (/.f64 (cos.f64 th) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
▶	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	99.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
	98.7%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
	28.9%	(.f64 (/.f64 (cos.f64 th) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (sqrt.f64 2)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 596 to 442 computations (25.8% saved)

localize340.0ms (3.2%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (hypot.f64 a2 a1) 2)
✓	99.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
✓	99.3%	(/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))
✓	99.9%	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	99.8%	(*.f64 a2 (cos.f64 th))
✓	99.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.5%	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))

Compiler

Compiled 167 to 70 computations (58.1% saved)

series35.0ms (0.3%)

Counts

11 → 244

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	a2	@	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
3.0ms	a1	@	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2)))
3.0ms	a1	@	inf	(/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))
3.0ms	th	@	0	(*.f64 a2 (cos.f64 th))
1.0ms	a2	@	inf	(/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) 2))

rewrite122.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`add-sqr-sqrt`
574×	`pow1`
570×	`*-un-lft-identity`
544×	`add-exp-log`
544×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	239
1	622	227

Stop Event

1×	node limit

Counts

11 → 426

Calls

Call 1

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

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

simplify215.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1650×	`times-frac`
1490×	`fma-def`
620×	`*-commutative`
478×	`distribute-lft-in`
434×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1139	26562
1	3281	25684

Stop Event

1×	node limit

Counts

670 → 665

Calls

Call 1

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

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

eval605.0ms (5.7%)

Compiler: Compiled 19399 to 11942 computations (38.4% saved)

prune355.0ms (3.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	951	10	961
Fresh	3	1	4
Picked	4	1	5
Done	0	1	1
Total	958	13	971

Accuracy

100.0%

Counts

971 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.1%	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
✓	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.6%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	58.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	9.8%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
▶	9.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.7%	(.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)) a2)
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
▶	58.8%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	24.1%	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
✓	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.6%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	58.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	9.8%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
▶	9.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.7%	(.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)) a2)
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
▶	58.8%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 600 to 440 computations (26.7% saved)

localize262.0ms (2.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.8%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	99.5%	(*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))
	99.0%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.6%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	98.4%	(/.f64 1 (sqrt.f64 2))
✓	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.5%	(*.f64 (sqrt.f64 1/2) (cos.f64 th))

Compiler

Compiled 132 to 58 computations (56.1% saved)

series8.0ms (0.1%)

Counts

7 → 136

Calls

36 calls:

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

rewrite139.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`expm1-udef`
752×	`log1p-udef`
492×	`add-sqr-sqrt`
478×	`pow1`
478×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	157
1	514	153
2	6849	153

Stop Event

1×	node limit

Counts

7 → 207

Calls

Call 1

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

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

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

940×	`log-prod`
920×	`associate-r`
818×	`associate-l`
564×	`cube-prod`
560×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	511	10139
1	1314	9743
2	5811	9743

Stop Event

1×	node limit

Counts

343 → 307

Calls

Call 1

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

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

eval210.0ms (2%)

Compiler: Compiled 9922 to 5892 computations (40.6% saved)

prune114.0ms (1.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	620	10	630
Fresh	1	5	6
Picked	1	4	5
Done	0	2	2
Total	622	21	643

Accuracy

100.0%

Counts

643 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.1%	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
✓	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	58.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	9.8%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	58.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
▶	9.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	9.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	9.8%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
✓	9.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.7%	(.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)) a2)
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	58.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	98.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
▶	58.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	58.7%	(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
▶	9.8%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	13.7%	(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))
	24.1%	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
✓	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	58.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	9.8%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	58.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
▶	9.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	9.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	9.8%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
✓	9.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.7%	(.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)) a2)
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	58.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	98.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
▶	58.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	58.7%	(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
▶	9.8%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	13.7%	(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))

Compiler

Compiled 800 to 612 computations (23.5% saved)

localize236.0ms (2.2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
✓	98.9%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓	99.7%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
✓	99.7%	(/.f64 1 (/.f64 (sqrt.f64 2) a1))
✓	99.3%	(/.f64 (sqrt.f64 2) a1)
✓	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.3%	(/.f64 (sqrt.f64 2) a1)
✓	99.7%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	99.3%	(/.f64 a2 (sqrt.f64 2))
✓	99.9%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
✓	99.7%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))

Compiler

Compiled 102 to 67 computations (34.3% saved)

series12.0ms (0.1%)

Counts

11 → 108

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	th	@	-inf	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
0.0ms	a2	@	inf	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
0.0ms	a2	@	-inf	(/.f64 a2 (sqrt.f64 2))
0.0ms	th	@	0	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
0.0ms	a2	@	inf	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))

rewrite151.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`expm1-udef`
754×	`log1p-udef`
526×	`log-div`
452×	`add-sqr-sqrt`
440×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	179
1	507	173
2	6018	173

Stop Event

1×	node limit

Counts

11 → 415

Calls

Call 1

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

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

simplify176.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1576×	`log-prod`
926×	`associate-r`
852×	`associate-l`
758×	`fma-def`
678×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	634	11127
1	1538	10767
2	6508	10767

Stop Event

1×	node limit

Counts

523 → 389

Calls

Call 1

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

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

eval205.0ms (1.9%)

Compiler: Compiled 5091 to 3738 computations (26.6% saved)

prune157.0ms (1.5%)

Pruning

32 alts after pruning (21 fresh and 11 done)

	Pruned	Kept	Total
New	418	11	429
Fresh	0	10	10
Picked	0	5	5
Done	0	6	6
Total	418	32	450

Accuracy

100.0%

Counts

450 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.1%	(/.f64 (+.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (*.f64 a2 a2)) (sqrt.f64 2))
✓	98.7%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	58.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	9.8%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	58.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	9.8%	(/.f64 a1 (pow.f64 (/.f64 a1 (sqrt.f64 2)) -1))
✓	9.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	9.8%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
	58.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	9.8%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	9.8%	(/.f64 1 (*.f64 (pow.f64 a1 -2) (sqrt.f64 2)))
	9.8%	(/.f64 1 (*.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1)))
	9.8%	(/.f64 1 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a1 (neg.f64 a1)))))
	13.7%	(/.f64 1 (sqrt.f64 (/.f64 2 (pow.f64 a1 4))))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	9.8%	(*.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 (/.f64 1 a1)))
	9.8%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	58.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
✓	9.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.7%	(.f64 (.f64 (cos.f64 th) (*.f64 (sqrt.f64 1/2) a2)) a2)
	98.7%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	58.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
✓	98.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	58.8%	(*.f64 a2 (pow.f64 (/.f64 (sqrt.f64 2) a2) -1))
✓	58.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	58.8%	(.f64 a2 (.f64 (pow.f64 2 -1/2) a2))
✓	98.6%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	58.7%	(.f64 a2 (.f64 a2 (/.f64 1 (sqrt.f64 2))))
✓	9.8%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	9.8%	(.f64 a1 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1)))
	13.7%	(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))

Compiler

Compiled 789 to 538 computations (31.8% saved)

regimes384.0ms (3.6%)

Counts

43 → 1

Calls

Call 1

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

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

Calls

8 calls:

234.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
25.0ms	a2
23.0ms	th
22.0ms	a1
22.0ms	(+.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 480 to 290 computations (39.6% saved)

regimes127.0ms (1.2%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	a2
19.0ms	a1
18.0ms	th
17.0ms	(cos.f64 th)
16.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.8%	1	`a1`
98.8%	1	`a2`
98.8%	1	`th`
98.8%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.8%	1	`(cos.f64 th)`
98.8%	1	`(*.f64 a1 a1)`
98.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 335 to 219 computations (34.6% saved)

regimes109.0ms (1%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

7 calls:

17.0ms	a1
17.0ms	th
16.0ms	a2
15.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
15.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
98.6%	1	`a1`
98.6%	1	`a2`
98.6%	1	`th`
98.6%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.6%	1	`(cos.f64 th)`
98.6%	1	`(*.f64 a1 a1)`
98.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 272 to 188 computations (30.9% saved)

regimes132.0ms (1.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	a2
38.0ms	th
23.0ms	a1
13.0ms	(*.f64 a2 a2)
7.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
58.8%	1	`a1`
58.8%	1	`a2`
58.8%	1	`th`
58.8%	1	`(*.f64 a1 a1)`
58.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 250 to 171 computations (31.6% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	a1
3.0ms	th
3.0ms	a2

Results

Accuracy	Segments	Branch
58.8%	1	`a1`
58.8%	1	`a2`
58.8%	1	`th`

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	127
1	31	127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 58 to 43 computations (25.9% saved)

soundness2.1s (19.8%)

Rules

3602×	`fma-def`
1898×	`prod-diff`
1124×	`log-prod`
1118×	`associate-r`
1050×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	18	140
1	388	130
2	4821	130
0	564	19084
1	1465	18596
2	6888	18596
0	511	10139
1	1314	9743
2	5811	9743
0	511	10139
1	1314	9743
2	5811	9743

Stop Event

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

Compiler

Compiled 238 to 129 computations (45.8% saved)

end0.0ms (0%)

preprocess191.0ms (1.8%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 264 to 172 computations (34.8% saved)

analyze0.0ms (0%)

sample2.6s (24.7%)

preprocess245.0ms (2.3%)

eval1.0ms (0%)

prune3.0ms (0%)

localize285.0ms (2.7%)

series42.0ms (0.4%)

rewrite153.0ms (1.5%)

simplify442.0ms (4.2%)

eval122.0ms (1.2%)

prune83.0ms (0.8%)

localize340.0ms (3.2%)

series35.0ms (0.3%)

rewrite122.0ms (1.2%)

simplify215.0ms (2%)

eval605.0ms (5.7%)

prune355.0ms (3.4%)

localize262.0ms (2.5%)

series8.0ms (0.1%)

rewrite139.0ms (1.3%)

simplify168.0ms (1.6%)

eval210.0ms (2%)

prune114.0ms (1.1%)

localize236.0ms (2.2%)

series12.0ms (0.1%)

rewrite151.0ms (1.4%)

simplify176.0ms (1.7%)

eval205.0ms (1.9%)

prune157.0ms (1.5%)

regimes384.0ms (3.6%)

regimes127.0ms (1.2%)

regimes109.0ms (1%)

regimes132.0ms (1.3%)

regimes11.0ms (0.1%)

simplify6.0ms (0.1%)

soundness2.1s (19.8%)

end0.0ms (0%)

preprocess191.0ms (1.8%)

Profiling