Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.8s (27.7%)

Results

967.0ms	1098×	body	1024	valid
918.0ms	3055×	body	256	valid
717.0ms	2204×	body	256	infinite
713.0ms	901×	body	1024	infinite
285.0ms	553×	body	512	valid
190.0ms	444×	body	512	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess231.0ms (1.7%)

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)

prune5.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize281.0ms (2%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.9%	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
✓	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.8%	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 81 to 26 computations (67.9% saved)

series35.0ms (0.2%)

Counts

6 → 160

Calls

42 calls:

Time	Variable		Point	Expression
9.0ms	th	@	inf	(/.f64 (.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2))) (sqrt.f64 2))
2.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
2.0ms	a1	@	0	(.f64 (cos.f64 th) (fma.f64 a1 a1 (.f64 a2 a2)))
2.0ms	a2	@	0	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
2.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

rewrite208.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

6 → 320

Calls

Call 1

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

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

simplify354.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

480 → 351

Calls

Call 1

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

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

eval221.0ms (1.6%)

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

prune171.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	341	10	351
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	342	11	353

Accuracy

100.0%

Counts

353 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	98.6%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	99.6%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
	98.6%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	69.6%	(.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)))
	99.1%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.5%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
▶	99.6%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
	98.6%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
	99.6%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a2 a1) 2)))
	98.6%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	69.6%	(.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)))
	99.1%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
	98.5%	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))

Compiler

Compiled 616 to 458 computations (25.6% saved)

localize404.0ms (2.9%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.9%	(.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	99.6%	(/.f64 (.f64 (cos.f64 th) (+.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 2))
✓	99.9%	(.f64 a2 (.f64 a2 (cos.f64 th)))
✓	99.9%	(*.f64 a2 (cos.f64 th))
✓	99.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	99.7%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	98.8%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.7%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
✓	99.7%	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))

Compiler

Compiled 176 to 60 computations (65.9% saved)

series30.0ms (0.2%)

Counts

10 → 220

Calls

60 calls:

Time	Variable		Point	Expression
2.0ms	th	@	0	(*.f64 a2 (cos.f64 th))
2.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
2.0ms	th	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
2.0ms	th	@	inf	(*.f64 (pow.f64 2 -1/2) (cos.f64 th))
1.0ms	th	@	inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))

rewrite272.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
552×	`pow1`
550×	`*-un-lft-identity`
530×	`associate-r`
524×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	234
1	571	214

Stop Event

1×	node limit

Counts

10 → 386

Calls

Call 1

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

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

simplify326.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1162×	`associate-/l*`
874×	`fma-def`
680×	`times-frac`
602×	`associate-*r/`
520×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	823	21406
1	2266	20274

Stop Event

1×	node limit

Counts

606 → 589

Calls

Call 1

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

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

eval757.0ms (5.4%)

Compiler: Compiled 20844 to 11866 computations (43.1% saved)

prune325.0ms (2.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1188	11	1199
Fresh	5	0	5
Picked	3	2	5
Done	0	1	1
Total	1196	14	1210

Accuracy

100.0%

Counts

1210 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	62.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	69.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
▶	17.1%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	69.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	17.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	98.6%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	69.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.6%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
▶	69.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	62.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
▶	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	69.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
▶	17.1%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	69.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	17.1%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	98.6%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
	69.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	98.6%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))

Compiler

Compiled 608 to 450 computations (26% saved)

localize325.0ms (2.3%)

Localize:

Found 10 expressions with local error:

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

Compiler

Compiled 123 to 53 computations (56.9% saved)

series10.0ms (0.1%)

Counts

9 → 168

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	a1	@	0	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
1.0ms	a1	@	inf	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
1.0ms	a1	@	0	(/.f64 (sqrt.f64 2) a1)
1.0ms	a1	@	-inf	(/.f64 (sqrt.f64 2) a1)
0.0ms	a1	@	inf	(/.f64 (sqrt.f64 2) a1)

rewrite145.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`fma-def`
724×	`expm1-udef`
724×	`log1p-udef`
474×	`add-sqr-sqrt`
460×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	177
1	496	167
2	6634	167

Stop Event

1×	node limit

Counts

9 → 500

Calls

Call 1

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

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

simplify222.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1182×	`log-prod`
1092×	`associate-r`
1058×	`associate-l`
684×	`associate-/l*`
586×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	710	19116
1	1710	18200
2	7273	18200

Stop Event

1×	node limit

Counts

668 → 495

Calls

Call 1

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

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

eval263.0ms (1.9%)

Compiler: Compiled 8653 to 5443 computations (37.1% saved)

prune257.0ms (1.8%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	572	7	579
Fresh	2	4	6
Picked	0	5	5
Done	0	3	3
Total	574	19	593

Accuracy

100.0%

Counts

593 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	62.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	17.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	69.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	17.1%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	17.1%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
▶	17.1%	(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	69.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	98.6%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
▶	69.2%	(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
	69.2%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
▶	98.6%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
✓	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	69.2%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
▶	17.1%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓	69.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	62.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	17.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	69.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	17.1%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	17.1%	(/.f64 a1 (*.f64 (/.f64 1 a1) (sqrt.f64 2)))
▶	17.1%	(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	69.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	98.6%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
▶	69.2%	(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
	69.2%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
▶	98.6%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
✓	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	69.2%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
▶	17.1%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Compiler

Compiled 672 to 508 computations (24.4% saved)

localize201.0ms (1.4%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 2 a1) a1)
✓	99.8%	(/.f64 a1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1)))
✓	53.1%	(sqrt.f64 (/.f64 (/.f64 2 a1) a1))
✓	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.8%	(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
✓	99.3%	(*.f64 a2 (sqrt.f64 1/2))
✓	99.9%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓	99.3%	(/.f64 a1 (sqrt.f64 2))
✓	99.9%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
✓	99.7%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 94 to 58 computations (38.3% saved)

series7.0ms (0%)

Counts

10 → 108

Calls

33 calls:

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

rewrite126.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`expm1-udef`
730×	`log1p-udef`
480×	`log-div`
454×	`add-sqr-sqrt`
444×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	164
1	506	158
2	6008	158

Stop Event

1×	node limit

Counts

10 → 336

Calls

Call 1

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

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

simplify137.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1342×	`log-prod`
834×	`associate-r`
832×	`fma-def`
800×	`associate-l`
456×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	9556
1	1295	9384
2	5684	9378

Stop Event

1×	node limit

Counts

444 → 340

Calls

Call 1

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

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

eval94.0ms (0.7%)

Compiler: Compiled 4090 to 2723 computations (33.4% saved)

prune242.0ms (1.7%)

Pruning

19 alts after pruning (7 fresh and 12 done)

	Pruned	Kept	Total
New	338	2	340
Fresh	1	5	6
Picked	1	4	5
Done	0	8	8
Total	340	19	359

Accuracy

100.0%

Counts

359 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.6%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
	62.8%	(/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2))
✓	98.6%	(/.f64 (.f64 a2 (.f64 a2 (cos.f64 th))) (sqrt.f64 2))
✓	69.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	12.9%	(/.f64 (*.f64 a1 (neg.f64 a1)) (sqrt.f64 2))
✓	17.1%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	69.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	12.9%	(/.f64 a1 (/.f64 (sqrt.f64 2) (neg.f64 a1)))
✓	17.1%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
✓	98.5%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
✓	69.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	98.6%	(.f64 (.f64 (cos.f64 th) a2) (*.f64 a2 (sqrt.f64 1/2)))
✓	69.2%	(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
	69.2%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
✓	98.6%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
✓	99.6%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
	69.2%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
✓	17.1%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Compiler

Compiled 539 to 332 computations (38.4% saved)

regimes154.0ms (1.1%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	(*.f64 a2 a2)
21.0ms	th
17.0ms	a2
15.0ms	a1
13.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.6%	1	`a1`
99.6%	1	`a2`
99.6%	1	`th`
99.6%	1	`(+.f64 (.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 383 to 213 computations (44.4% saved)

regimes93.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

7 calls:

16.0ms	th
15.0ms	a1
13.0ms	a2
12.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
11.0ms	(*.f64 a2 a2)

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 284 to 160 computations (43.7% saved)

regimes165.0ms (1.2%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

7 calls:

40.0ms	a2
39.0ms	a1
23.0ms	(*.f64 a1 a1)
22.0ms	th
12.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 245 to 148 computations (39.6% saved)

regimes214.0ms (1.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

7 calls:

34.0ms	a1
32.0ms	th
32.0ms	a2
30.0ms	(cos.f64 th)
28.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
98.5%	1	`a2`
98.5%	1	`th`
98.5%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
98.5%	1	`(cos.f64 th)`
98.5%	1	`(*.f64 a1 a1)`
98.5%	1	`(*.f64 a2 a2)`
98.5%	1	`a1`

Compiler

Compiled 191 to 122 computations (36.1% saved)

regimes120.0ms (0.9%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

47.0ms	th
25.0ms	(*.f64 a2 a2)
16.0ms	(*.f64 a1 a1)
10.0ms	a1
9.0ms	a2

Results

Accuracy	Segments	Branch
69.6%	1	`a1`
69.6%	1	`a2`
71.4%	2	`th`
69.6%	1	`(*.f64 a1 a1)`
69.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 169 to 105 computations (37.9% saved)

regimes30.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	th
9.0ms	a2
8.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
69.6%	1	`a2`
69.6%	1	`(*.f64 a2 a2)`
69.6%	1	`th`

Compiler

Compiled 145 to 89 computations (38.6% saved)

regimes40.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	a1
8.0ms	a2
8.0ms	th
7.0ms	(*.f64 a2 a2)
4.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
69.6%	1	`(*.f64 a1 a1)`
69.6%	1	`a1`
69.6%	1	`th`
69.6%	1	`a2`
69.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 133 to 87 computations (34.6% saved)

regimes39.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	a1
8.0ms	th
8.0ms	a2
7.0ms	(*.f64 a2 a2)
5.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
69.2%	1	`th`
69.2%	1	`(*.f64 a1 a1)`
69.2%	1	`a1`
69.2%	1	`a2`
69.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 123 to 83 computations (32.5% saved)

regimes14.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 a2 a2)
3.0ms	a2
3.0ms	a1
3.0ms	th

Results

Accuracy	Segments	Branch
69.2%	1	`th`
69.2%	1	`a1`
69.2%	1	`a2`
69.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	th
3.0ms	a2
3.0ms	a1

Results

Accuracy	Segments	Branch
17.1%	1	`th`
17.1%	1	`a1`
17.1%	1	`a2`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	8.646973673104763e+88	1.9294402024683417e+89

Results

14.0ms	51×	body	512	valid
8.0ms	27×	body	512	infinite
0.0ms	2×	body	256	valid

Compiler

Compiled 168 to 125 computations (25.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	310
1	61	310

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 th 88000000000000003496060011272369238704485658860737790000872620365465777706108794615889920) (/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Outputs
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
(if (<=.f64 th 88000000000000003496060011272369238704485658860737790000872620365465777706108794615889920) (/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 (.f64 th th) a2)))) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(if (<=.f64 th 88000000000000003496060011272369238704485658860737790000872620365465777706108794615889920) (/.f64 (.f64 a2 (+.f64 a2 (.f64 -1/2 (.f64 a2 (.f64 th th))))) (sqrt.f64 2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(.f64 (.f64 a2 (sqrt.f64 1/2)) a2)
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Compiler

Compiled 137 to 99 computations (27.7% saved)

soundness3.4s (24.5%)

Rules

3602×	`fma-def`
3602×	`fma-def`
1898×	`prod-diff`
1898×	`prod-diff`
1182×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	18	140
1	388	130
2	4821	130
0	823	21406
1	2266	20274
0	710	19116
1	1710	18200
2	7273	18200
0	823	21406
1	2266	20274
0	23	177
1	496	167
2	6634	167
0	23	177
1	496	167
2	6634	167
0	41	312
1	121	280
2	341	280
3	920	280
4	2205	280
5	3970	280
6	5361	280
7	5949	280
8	6022	280
9	6033	280
10	6038	280
11	7257	280
0	18	140
1	388	130
2	4821	130
0	823	21406
1	2266	20274
0	557	19048
1	1466	18536
2	6993	18536
0	823	21406
1	2266	20274
0	557	19048
1	1466	18536
2	6993	18536
0	823	21406
1	2266	20274
0	823	21406
1	2266	20274

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

Compiler

Compiled 860 to 525 computations (39% saved)

end0.0ms (0%)

preprocess91.0ms (0.7%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 400 to 240 computations (40% saved)

analyze0.0ms (0%)

sample3.8s (27.7%)

preprocess231.0ms (1.7%)

eval1.0ms (0%)

prune5.0ms (0%)

localize281.0ms (2%)

series35.0ms (0.2%)

rewrite208.0ms (1.5%)

simplify354.0ms (2.5%)

eval221.0ms (1.6%)

prune171.0ms (1.2%)

localize404.0ms (2.9%)

series30.0ms (0.2%)

rewrite272.0ms (2%)

simplify326.0ms (2.3%)

eval757.0ms (5.4%)

prune325.0ms (2.3%)

localize325.0ms (2.3%)

series10.0ms (0.1%)

rewrite145.0ms (1%)

simplify222.0ms (1.6%)

eval263.0ms (1.9%)

prune257.0ms (1.8%)

localize201.0ms (1.4%)

series7.0ms (0%)

rewrite126.0ms (0.9%)

simplify137.0ms (1%)

eval94.0ms (0.7%)

prune242.0ms (1.7%)

regimes154.0ms (1.1%)

regimes93.0ms (0.7%)

regimes165.0ms (1.2%)

regimes214.0ms (1.5%)

regimes120.0ms (0.9%)

regimes30.0ms (0.2%)

regimes40.0ms (0.3%)

regimes39.0ms (0.3%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch24.0ms (0.2%)

simplify9.0ms (0.1%)

soundness3.4s (24.5%)

end0.0ms (0%)

preprocess91.0ms (0.7%)

Profiling