Metrics for Migdal et al, Equation (64)

analyze1.0ms (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)

sample2.3s (18.5%)

Results

602.0ms	3074×	body	256	valid
480.0ms	1079×	body	1024	valid
403.0ms	2166×	body	256	infinite
394.0ms	891×	body	1024	infinite
192.0ms	576×	body	512	valid
180.0ms	467×	body	512	infinite
6.0ms	3×	body	2048	valid

Bogosity

preprocess237.0ms (1.9%)

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)

prune4.0ms (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)

localize210.0ms (1.7%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.9%	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
✓	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)))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 81 to 26 computations (67.9% saved)

series28.0ms (0.2%)

Counts

6 → 160

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	-inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
2.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
2.0ms	a1	@	0	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
2.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
2.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite172.0ms (1.4%)

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)))

simplify454.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

480 → 351

Calls

Call 1

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

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

eval127.0ms (1%)

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

prune106.0ms (0.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	340	11	351
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	341	12	353

Accuracy

100.0%

Counts

353 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	27.4%	(/.f64 (.f64 (/.f64 (cos.f64 th) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (sqrt.f64 2))
	99.6%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
▶	99.0%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	99.0%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	99.6%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
	99.0%	(.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)))
▶	99.0%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.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)))
	99.0%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	99.6%	(/.f64 (/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	27.4%	(/.f64 (.f64 (/.f64 (cos.f64 th) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (sqrt.f64 2))
	99.6%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
▶	99.0%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	99.0%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	99.6%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
	99.0%	(.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)))
▶	99.0%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.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)))
	99.0%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 776 to 578 computations (25.5% saved)

localize281.0ms (2.3%)

Localize:

Found 13 expressions with local error:

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

Compiler

Compiled 170 to 70 computations (58.8% saved)

series34.0ms (0.3%)

Counts

11 → 252

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	a2	@	inf	(.f64 (cos.f64 th) (.f64 a2 a2))
4.0ms	a2	@	0	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
3.0ms	a1	@	0	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
3.0ms	a2	@	inf	(*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2))
1.0ms	th	@	inf	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))

rewrite207.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`expm1-udef`
810×	`log1p-udef`
516×	`add-sqr-sqrt`
502×	`pow1`
498×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	245
1	590	233
2	7141	233

Stop Event

1×	node limit

Counts

11 → 380

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

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

simplify192.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1680×	`fma-def`
682×	`times-frac`
662×	`distribute-rgt-in`
652×	`distribute-lft-in`
504×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	958	24294
1	2802	23114

Stop Event

1×	node limit

Counts

632 → 592

Calls

Call 1

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

eval393.0ms (3.2%)

Compiler: Compiled 17326 to 10722 computations (38.1% saved)

prune175.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	826	14	840
Fresh	6	0	6
Picked	4	1	5
Done	1	0	1
Total	837	15	852

Accuracy

100.0%

Counts

852 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	99.1%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	99.0%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	63.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	99.6%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	14.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.0%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
	99.0%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	68.4%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.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)))
▶	99.1%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
	64.0%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	63.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	99.0%	(/.f64 (/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	99.1%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
▶	99.0%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	63.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	99.6%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	14.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.0%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
	99.0%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	68.4%	(.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.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)))
▶	99.1%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
	64.0%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	63.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

Compiler

Compiled 758 to 566 computations (25.3% saved)

localize248.0ms (2%)

Localize:

Found 11 expressions with local error:

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

Compiler

Compiled 125 to 61 computations (51.2% saved)

series15.0ms (0.1%)

Counts

9 → 128

Calls

39 calls:

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

rewrite179.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`expm1-udef`
796×	`log1p-udef`
512×	`add-sqr-sqrt`
498×	`pow1`
498×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	179
1	541	177
2	7163	177

Stop Event

1×	node limit

Counts

9 → 315

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

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

simplify172.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-r`
1214×	`associate-l`
604×	`*-commutative`
588×	`associate-/l*`
560×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	655	12953
1	1711	12329

Stop Event

1×	node limit

Counts

443 → 413

Calls

Call 1

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

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

eval169.0ms (1.4%)

Compiler: Compiled 7743 to 4713 computations (39.1% saved)

prune146.0ms (1.2%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	490	13	503
Fresh	4	5	9
Picked	1	4	5
Done	0	1	1
Total	495	23	518

Accuracy

100.0%

Counts

518 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.9%	(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	99.1%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	99.0%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	63.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	63.9%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	14.2%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	63.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	14.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.0%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
	68.4%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	99.0%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))) a2)
✓	99.1%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
	99.0%	(.f64 (.f64 a2 (sqrt.f64 1/2)) (/.f64 a2 (/.f64 1 (cos.f64 th))))
	64.0%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	63.9%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	63.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	63.9%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
	63.9%	(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
▶	14.2%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	53.7%	(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))
	63.9%	(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
	99.1%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	99.0%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	63.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	63.9%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	14.2%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	63.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	14.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.0%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
	68.4%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
▶	99.0%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))) a2)
✓	99.1%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
	99.0%	(.f64 (.f64 a2 (sqrt.f64 1/2)) (/.f64 a2 (/.f64 1 (cos.f64 th))))
	64.0%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	63.9%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	63.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	63.9%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
	63.9%	(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
▶	14.2%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	53.7%	(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))

Compiler

Compiled 950 to 730 computations (23.2% saved)

localize242.0ms (2%)

Localize:

Found 12 expressions with local error:

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

Compiler

Compiled 125 to 65 computations (48% saved)

series9.0ms (0.1%)

Counts

11 → 156

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	th	@	0	(.f64 (cos.f64 th) (.f64 a2 (sqrt.f64 1/2)))
0.0ms	a1	@	inf	(/.f64 a1 (sqrt.f64 2))
0.0ms	a2	@	0	(.f64 (cos.f64 th) (.f64 a2 (sqrt.f64 1/2)))
0.0ms	a2	@	0	(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
0.0ms	a2	@	inf	(*.f64 a2 (sqrt.f64 1/2))

rewrite176.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`expm1-udef`
904×	`log1p-udef`
538×	`add-sqr-sqrt`
524×	`pow1`
524×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	209
1	562	205
2	7391	205

Stop Event

1×	node limit

Counts

11 → 351

Calls

Call 1

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

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

simplify227.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1744×	`log-prod`
1146×	`associate-r`
1046×	`associate-l`
610×	`*-commutative`
506×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	12969
1	1822	12243
2	7090	12243

Stop Event

1×	node limit

Counts

507 → 422

Calls

Call 1

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

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

eval179.0ms (1.5%)

Compiler: Compiled 6899 to 4544 computations (34.1% saved)

prune119.0ms (1%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	478	6	484
Fresh	2	11	13
Picked	0	5	5
Done	0	5	5
Total	480	27	507

Accuracy

100.0%

Counts

507 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.8%	(pow.f64 (/.f64 (pow.f64 2 1/4) a2) -2)
	99.1%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
✓	99.0%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	63.9%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	14.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	63.9%	(/.f64 a2 (pow.f64 (/.f64 a2 (sqrt.f64 2)) -1))
✓	63.9%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	14.2%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	63.6%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	63.7%	(/.f64 1 (*.f64 (pow.f64 a2 -2) (sqrt.f64 2)))
	63.6%	(/.f64 1 (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (.f64 a2 (neg.f64 a2)))))
✓	63.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	14.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.0%	(.f64 (.f64 (/.f64 a2 (sqrt.f64 2)) a2) (cos.f64 th))
	68.4%	(.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	63.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
✓	99.0%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))) a2)
✓	99.1%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
	99.0%	(.f64 (.f64 a2 (sqrt.f64 1/2)) (/.f64 a2 (/.f64 1 (cos.f64 th))))
	64.0%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	63.9%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
✓	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
✓	63.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	63.9%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
✓	14.2%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	14.2%	(.f64 a1 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	53.7%	(sqrt.f64 (/.f64 (pow.f64 a2 4) 2))

Compiler

Compiled 818 to 525 computations (35.8% saved)

regimes179.0ms (1.5%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

8 calls:

28.0ms	a1
26.0ms	th
25.0ms	a2
21.0ms	(cos.f64 th)
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 564 to 323 computations (42.7% saved)

regimes124.0ms (1%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

7 calls:

20.0ms	th
19.0ms	a2
18.0ms	a1
17.0ms	(cos.f64 th)
14.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 352 to 216 computations (38.6% saved)

regimes112.0ms (0.9%)

Counts

34 → 1

Calls

Call 1

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

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

Calls

7 calls:

19.0ms	a1
18.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
17.0ms	a2
16.0ms	th
13.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.1%	1	`a1`
99.1%	1	`a2`
99.1%	1	`th`
99.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.1%	1	`(cos.f64 th)`
99.1%	1	`(*.f64 a1 a1)`
99.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 339 to 212 computations (37.5% saved)

regimes130.0ms (1.1%)

Counts

30 → 1

Calls

Call 1

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

Calls

7 calls:

38.0ms	th
19.0ms	a1
17.0ms	a2
15.0ms	(cos.f64 th)
14.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.1%	1	`a1`
99.1%	1	`th`
99.1%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.1%	1	`(cos.f64 th)`
99.1%	1	`(*.f64 a1 a1)`
99.1%	1	`a2`
99.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 299 to 188 computations (37.1% saved)

regimes117.0ms (0.9%)

Counts

23 → 1

Calls

Call 1

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

24.0ms	a1
20.0ms	a2
18.0ms	(cos.f64 th)
17.0ms	th
14.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.0%	1	`a1`
99.0%	1	`a2`
99.0%	1	`th`
99.0%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.0%	1	`(cos.f64 th)`
99.0%	1	`(*.f64 a1 a1)`
99.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 236 to 156 computations (33.9% saved)

regimes288.0ms (2.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

188.0ms	a2
34.0ms	th
33.0ms	a1
18.0ms	(*.f64 a2 a2)
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
68.4%	1	`a1`
73.4%	4	`a2`
70.6%	3	`th`
68.4%	1	`(*.f64 a1 a1)`
70.7%	2	`(*.f64 a2 a2)`

Compiler

Compiled 214 to 139 computations (35% saved)

regimes184.0ms (1.5%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

82.0ms	a2
32.0ms	a1
24.0ms	(*.f64 a2 a2)
20.0ms	(*.f64 a1 a1)
15.0ms	th

Results

Accuracy	Segments	Branch
64.0%	1	`th`
64.0%	1	`a1`
64.0%	1	`(*.f64 a1 a1)`
64.0%	1	`a2`
64.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 149 to 98 computations (34.2% saved)

regimes80.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	th
22.0ms	a1
9.0ms	(*.f64 a2 a2)
7.0ms	a2
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
63.9%	1	`th`
63.9%	1	`a1`
63.9%	1	`(*.f64 a1 a1)`
63.9%	1	`a2`
63.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 115 to 79 computations (31.3% saved)

regimes92.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

63.0ms	a1
13.0ms	a2
13.0ms	th

Results

Accuracy	Segments	Branch
63.9%	1	`th`
63.9%	1	`a1`
63.9%	1	`a2`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes33.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Calls

3 calls:

11.0ms	a2
10.0ms	th
10.0ms	a1

Results

Accuracy	Segments	Branch
14.2%	1	`th`
14.2%	1	`a1`
14.2%	1	`a2`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.50195905563369e+212	3.8641906430939486e+222

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify30.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	336
1	64	336

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 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 (.f64 a2 a2) 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(*.f64 a1 (/.f64 a1 (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 (.f64 a2 a2) (.f64 a1 a1))))
(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (*.f64 a2 a2))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 (.f64 a2 a2) 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 (.f64 a2 a2) 999999999999999984345037526797422397233524775199337052919583787413130412889023223627065756931830180808571031008919677160084252852199641809946030023447952696435527124027376600704816231425231719002378564135125254144) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (.f64 th th))))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Compiler

Compiled 145 to 100 computations (31% saved)

soundness4.0s (32.9%)

Rules

3602×	`fma-def`
3602×	`fma-def`
1898×	`prod-diff`
1680×	`fma-def`
1680×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	18	140
1	388	130
2	4821	130
0	958	24294
1	2802	23114
0	557	19048
1	1466	18536
2	6993	18536
0	655	12953
1	1711	12329
0	958	24294
1	2802	23114
0	25	179
1	541	177
2	7163	177
0	655	12953
1	1711	12329
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	557	19048
1	1466	18536
2	6993	18536
0	27	245
1	590	233
2	7141	233
0	655	12953
1	1711	12329
0	958	24294
1	2802	23114
0	557	19048
1	1466	18536
2	6993	18536
0	557	19048
1	1466	18536
2	6993	18536
0	27	245
1	590	233
2	7141	233
0	655	12953
1	1711	12329

Stop Event

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

Compiler

Compiled 945 to 591 computations (37.5% saved)

end0.0ms (0%)

preprocess102.0ms (0.8%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 408 to 234 computations (42.6% saved)

analyze1.0ms (0%)

sample2.3s (18.5%)

preprocess237.0ms (1.9%)

eval1.0ms (0%)

prune4.0ms (0%)

localize210.0ms (1.7%)

series28.0ms (0.2%)

rewrite172.0ms (1.4%)

simplify454.0ms (3.7%)

eval127.0ms (1%)

prune106.0ms (0.9%)

localize281.0ms (2.3%)

series34.0ms (0.3%)

rewrite207.0ms (1.7%)

simplify192.0ms (1.6%)

eval393.0ms (3.2%)

prune175.0ms (1.4%)

localize248.0ms (2%)

series15.0ms (0.1%)

rewrite179.0ms (1.5%)

simplify172.0ms (1.4%)

eval169.0ms (1.4%)

prune146.0ms (1.2%)

localize242.0ms (2%)

series9.0ms (0.1%)

rewrite176.0ms (1.4%)

simplify227.0ms (1.8%)

eval179.0ms (1.5%)

prune119.0ms (1%)

regimes179.0ms (1.5%)

regimes124.0ms (1%)

regimes112.0ms (0.9%)

regimes130.0ms (1.1%)

regimes117.0ms (0.9%)

regimes288.0ms (2.3%)

regimes184.0ms (1.5%)

regimes80.0ms (0.6%)

regimes92.0ms (0.8%)

regimes33.0ms (0.3%)

bsearch1.0ms (0%)

simplify30.0ms (0.2%)

soundness4.0s (32.9%)

end0.0ms (0%)

preprocess102.0ms (0.8%)

Profiling