Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.3s (20.2%)

Results

856.0ms	3068×	body	256	valid
735.0ms	888×	body	1024	infinite
634.0ms	1041×	body	1024	valid
590.0ms	2234×	body	256	infinite
280.0ms	537×	body	512	valid
198.0ms	485×	body	512	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess331.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 22 to 15 computations (31.8% saved)

eval1.0ms (0%)

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

prune3.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 106 to 72 computations (32.1% saved)

localize186.0ms (1.1%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	100.0%	(cos.f64 th)
✓	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%	(cos.f64 th)
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
✓	100.0%	(cos.f64 th)
✓	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.6%	(.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 137 to 49 computations (64.2% saved)

series23.0ms (0.1%)

Counts

12 → 224

Calls

66 calls:

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

rewrite166.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`fma-def`
680×	`expm1-udef`
678×	`log1p-udef`
592×	`log-pow`
418×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	224
1	432	214
2	5408	214

Stop Event

1×	node limit

Counts

12 → 523

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

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

simplify195.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-/l*`
780×	`times-frac`
576×	`associate-/r*`
570×	`unswap-sqr`
490×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	795	25635
1	2041	25217

Stop Event

1×	node limit

Counts

747 → 538

Calls

Call 1

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

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

eval257.0ms (1.6%)

Compiler: Compiled 15954 to 8731 computations (45.3% saved)

prune147.0ms (0.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	716	12	728
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	718	13	731

Accuracy

100.0%

Counts

731 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) 2)
▶	98.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	99.6%	(+.f64 (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2)) (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
	99.5%	(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.6%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.3%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) 2)
▶	98.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	99.6%	(+.f64 (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2)) (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
	99.5%	(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	66.6%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
✓	99.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

Compiler

Compiled 848 to 610 computations (28.1% saved)

localize320.0ms (2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (cos.f64 th) (.f64 a2 a2))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	100.0%	(cos.f64 th)
	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
✓	99.8%	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2))
✓	99.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
✓	99.3%	(/.f64 a1 (sqrt.f64 2))
✓	99.3%	(/.f64 (pow.f64 2 1/2) a2)

Compiler

Compiled 193 to 89 computations (53.9% saved)

series16.0ms (0.1%)

Counts

9 → 168

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
1.0ms	th	@	-inf	(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
1.0ms	a1	@	0	(*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))
0.0ms	a1	@	inf	(/.f64 a1 (sqrt.f64 2))

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`add-sqr-sqrt`
558×	`pow1`
556×	`*-un-lft-identity`
526×	`add-exp-log`
526×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	185
1	613	175

Stop Event

1×	node limit

Counts

9 → 380

Calls

Call 1

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

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

simplify236.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1136×	`associate-/l*`
858×	`log-prod`
722×	`*-commutative`
712×	`times-frac`
604×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	756	17830
1	2092	17176
2	7237	17176

Stop Event

1×	node limit

Counts

548 → 476

Calls

Call 1

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

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

eval500.0ms (3%)

Compiler: Compiled 24674 to 14341 computations (41.9% saved)

prune183.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1247	13	1260
Fresh	6	1	7
Picked	4	1	5
Done	1	0	1
Total	1258	15	1273

Accuracy

100.0%

Counts

1273 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) 2)
	98.9%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.9%	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2))
	98.9%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	98.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
✓	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
▶	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	98.9%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
▶	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	99.3%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (cos.f64 th))) 2)
	98.9%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.9%	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2))
	98.9%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	98.6%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
✓	98.8%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
▶	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
▶	98.9%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
▶	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 740 to 554 computations (25.1% saved)

localize287.0ms (1.8%)

Localize:

Found 13 expressions with local error:

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

Compiler

Compiled 129 to 61 computations (52.7% saved)

series10.0ms (0.1%)

Counts

8 → 136

Calls

36 calls:

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

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`expm1-udef`
558×	`add-sqr-sqrt`
540×	`pow1`
538×	`*-un-lft-identity`
514×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	170
1	565	168
2	7721	168

Stop Event

1×	node limit

Counts

8 → 269

Calls

Call 1

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

simplify393.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-r`
1164×	`log-prod`
1150×	`associate-l`
786×	`fma-neg`
580×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	11853
1	1497	11329
2	7003	11329

Stop Event

1×	node limit

Counts

405 → 356

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

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

eval470.0ms (2.9%)

Compiler: Compiled 11705 to 6757 computations (42.3% saved)

prune236.0ms (1.4%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	738	11	749
Fresh	2	7	9
Picked	2	3	5
Done	1	0	1
Total	743	21	764

Accuracy

100.0%

Counts

764 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
	98.9%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.9%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	98.5%	(/.f64 (cos.f64 th) (/.f64 (/.f64 1 a2) (*.f64 (sqrt.f64 1/2) a2)))
	62.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	62.5%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
✓	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	66.4%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
▶	98.9%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))) a2)
▶	99.0%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
✓	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	62.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	10.1%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	13.3%	(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))
	62.7%	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
	98.9%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.9%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	98.5%	(/.f64 (cos.f64 th) (/.f64 (/.f64 1 a2) (*.f64 (sqrt.f64 1/2) a2)))
	62.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	62.5%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
✓	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	66.4%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (*.f64 a2 a2))
▶	98.9%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))) a2)
▶	99.0%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
✓	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	62.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	10.1%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	13.3%	(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))

Compiler

Compiled 920 to 714 computations (22.4% saved)

localize364.0ms (2.2%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	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))
✓	100.0%	(.f64 -1/2 (.f64 th th))
✓	99.0%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
✓	96.8%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
✓	99.8%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
✓	99.6%	(/.f64 1 (/.f64 (sqrt.f64 2) a1))
✓	99.3%	(/.f64 (sqrt.f64 2) a1)
✓	99.7%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	100.0%	(cos.f64 th)
	99.9%	(.f64 (cos.f64 th) (.f64 a2 a2))
✓	99.6%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))

Compiler

Compiled 141 to 79 computations (44% saved)

series10.0ms (0.1%)

Counts

11 → 156

Calls

45 calls:

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

rewrite174.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`prod-diff`
556×	`add-sqr-sqrt`
548×	`associate-r`
538×	`pow1`
538×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	231
1	592	217
2	7270	217

Stop Event

1×	node limit

Counts

11 → 252

Calls

Call 1

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

simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1464×	`fma-def`
1462×	`log-prod`
844×	`associate-r`
794×	`associate-l`
434×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	10216
1	1358	10124
2	5405	10112

Stop Event

1×	node limit

Counts

408 → 332

Calls

Call 1

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

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

eval245.0ms (1.5%)

Compiler: Compiled 7019 to 4609 computations (34.3% saved)

prune312.0ms (1.9%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	481	10	491
Fresh	3	10	13
Picked	2	3	5
Done	0	3	3
Total	486	26	512

Accuracy

100.0%

Counts

512 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.7%	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
	10.1%	(/.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 1 a1))
	98.9%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	98.9%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	62.8%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	10.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	62.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	10.1%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	10.1%	(/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) a1))
	62.5%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	17.7%	(/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 a2 (.f64 a2 (*.f64 th th)))))
✓	66.3%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
	10.1%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	63.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
✓	62.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	17.5%	(.f64 (/.f64 -1/2 (/.f64 (sqrt.f64 2) (.f64 th th))) (*.f64 a2 a2))
	66.4%	(.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (*.f64 a2 a2)) (sqrt.f64 1/2))
✓	98.9%	(.f64 (.f64 (cos.f64 th) (*.f64 a2 (sqrt.f64 1/2))) a2)
✓	99.6%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	99.0%	(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
	62.8%	(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
	63.1%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	62.8%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	10.1%	(.f64 a1 (/.f64 1 (.f64 (/.f64 1 a1) (sqrt.f64 2))))
	10.1%	(.f64 a1 (.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (neg.f64 a1)))
	13.3%	(sqrt.f64 (*.f64 (pow.f64 a1 4) 1/2))

Compiler

Compiled 831 to 518 computations (37.7% saved)

regimes555.0ms (3.4%)

Counts

49 → 1

Calls

Call 1

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

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

Calls

8 calls:

105.0ms	a1
69.0ms	th
68.0ms	a2
58.0ms	(cos.f64 th)
58.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 583 to 323 computations (44.6% saved)

regimes420.0ms (2.6%)

Counts

48 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Calls

8 calls:

66.0ms	th
55.0ms	(*.f64 a2 a2)
54.0ms	a2
53.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
51.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 563 to 312 computations (44.6% saved)

regimes225.0ms (1.4%)

Counts

44 → 1

Calls

Call 1

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

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

Calls

7 calls:

77.0ms	th
31.0ms	a2
29.0ms	a1
21.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
18.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 471 to 262 computations (44.4% saved)

regimes161.0ms (1%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

7 calls:

24.0ms	(cos.f64 th)
23.0ms	a1
22.0ms	th
21.0ms	a2
20.0ms	(/.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 393 to 234 computations (40.5% saved)

regimes92.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 271 to 173 computations (36.2% saved)

regimes456.0ms (2.8%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

5 calls:

184.0ms	th
132.0ms	a2
40.0ms	a1
24.0ms	(*.f64 a2 a2)
8.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
66.6%	1	`a1`
70.5%	2	`a2`
70.5%	5	`th`
66.6%	1	`(*.f64 a1 a1)`
69.4%	2	`(*.f64 a2 a2)`

Compiler

Compiled 257 to 163 computations (36.6% saved)

regimes367.0ms (2.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

199.0ms	th
78.0ms	a2
37.0ms	a1
27.0ms	(*.f64 a2 a2)
16.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
70.6%	6	`th`
63.1%	1	`(*.f64 a1 a1)`
63.1%	1	`a1`
63.1%	1	`(*.f64 a2 a2)`
65.1%	3	`a2`

Compiler

Compiled 183 to 119 computations (35% saved)

regimes53.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	(*.f64 a2 a2)
9.0ms	a1
9.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
62.8%	1	`a1`
62.8%	1	`(*.f64 a1 a1)`
62.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 129 to 90 computations (30.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -33.9b remaining (-142.5%)

Threshold costs -33.9b (-142.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	a1
4.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
62.8%	1	`a1`
62.8%	1	`(*.f64 a2 a2)`

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch5.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	5.963834217380287e+194	7.005225743516991e+196

Results

2.0ms	5×	body	1024	infinite
1.0ms	9×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 60 to 44 computations (26.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	349
1	70	349

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2)) (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(if (<=.f64 a2 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))

Outputs
(+.f64 (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2)) (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(+.f64 (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (pow.f64 2 1/2) a2)) (.f64 a1 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (.f64 (cos.f64 th) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(if (<=.f64 a2 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))) (.f64 (.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 a2 a2)) (sqrt.f64 1/2)))
(if (<=.f64 a2 999999999999999977077764769429719196041465194188378863774447340572581797347854228894418860247909937807756600796112539971931616645685181699233267813951241073670004367049615544210109925082343145472) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (+.f64 1 (.f64 -1/2 (.f64 th th))))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 146 to 105 computations (28.1% saved)

soundness5.0s (30.2%)

Rules

3602×	`fma-def`
1324×	`associate-/l*`
1324×	`associate-/l*`
1324×	`associate-/l*`
1324×	`associate-/l*`

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	20	224
1	432	214
2	5408	214
0	795	25635
1	2041	25217
0	795	25635
1	2041	25217
0	20	224
1	432	214
2	5408	214
0	563	11853
1	1497	11329
2	7003	11329
0	26	170
1	565	168
2	7721	168
0	28	185
1	613	175
0	756	17830
1	2092	17176
2	7237	17176
0	20	224
1	432	214
2	5408	214
0	26	170
1	565	168
2	7721	168
0	795	25635
1	2041	25217
0	756	17830
1	2092	17176
2	7237	17176
0	20	224
1	432	214
2	5408	214
0	28	185
1	613	175
0	756	17830
1	2092	17176
2	7237	17176
0	20	224
1	432	214
2	5408	214
0	795	25635
1	2041	25217

Stop Event

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

Compiler

Compiled 1842 to 1073 computations (41.7% saved)

end0.0ms (0%)

preprocess332.0ms (2%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 472 to 288 computations (39% saved)

analyze0.0ms (0%)

sample3.3s (20.2%)

preprocess331.0ms (2%)

eval1.0ms (0%)

prune3.0ms (0%)

localize186.0ms (1.1%)

series23.0ms (0.1%)

rewrite166.0ms (1%)

simplify195.0ms (1.2%)

eval257.0ms (1.6%)

prune147.0ms (0.9%)

localize320.0ms (2%)

series16.0ms (0.1%)

rewrite91.0ms (0.6%)

simplify236.0ms (1.4%)

eval500.0ms (3%)

prune183.0ms (1.1%)

localize287.0ms (1.8%)

series10.0ms (0.1%)

rewrite137.0ms (0.8%)

simplify393.0ms (2.4%)

eval470.0ms (2.9%)

prune236.0ms (1.4%)

localize364.0ms (2.2%)

series10.0ms (0.1%)

rewrite174.0ms (1.1%)

simplify146.0ms (0.9%)

eval245.0ms (1.5%)

prune312.0ms (1.9%)

regimes555.0ms (3.4%)

regimes420.0ms (2.6%)

regimes225.0ms (1.4%)

regimes161.0ms (1%)

regimes92.0ms (0.6%)

regimes456.0ms (2.8%)

regimes367.0ms (2.2%)

regimes53.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch5.0ms (0%)

simplify12.0ms (0.1%)

soundness5.0s (30.2%)

end0.0ms (0%)

preprocess332.0ms (2%)

Profiling