Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample2.4s (16.1%)

Results

686.0ms	3044×	body	256	valid
496.0ms	1078×	body	1024	valid
483.0ms	2288×	body	256	infinite
355.0ms	888×	body	1024	infinite
226.0ms	536×	body	512	valid
167.0ms	417×	body	512	infinite
2.0ms	4×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess25.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

192×	`fma-def`
132×	`*-commutative`
114×	`associate-/l*`
48×	`associate-r`
48×	`distribute-rgt-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-def`
44×	`*-commutative`
40×	`associate-/l*`
18×	`associate-/r/`
18×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35

Stop Event

1×

saturated

Counts

1 → 4

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)))

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

eval1.0ms (0%)

Compiler: Compiled 59 to 29 computations (50.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Accurracy

61.4%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.2%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	61.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 41 to 16 computations (61% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`log-prod`
830×	`pow-prod-down`
666×	`pow-prod-up`
610×	`pow-exp`
498×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	281	56
2	3385	56

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-r`
1304×	`associate-l`
1102×	`times-frac`
954×	`associate-/l*`
596×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	5304
1	524	5158
2	1599	4880

Stop Event

1×	node limit

Counts

134 → 129

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`prod-diff`
1430×	`log-prod`
606×	`fma-def`
524×	`expm1-udef`
522×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	300	48
2	4088	48

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

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

simplify128.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

520×	`associate-r`
486×	`associate-l`
386×	`associate-+l+`
378×	`associate-/l*`
372×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	8061
1	978	7727
2	3833	6473

Stop Event

1×	node limit

Counts

161 → 197

Calls

Call 1

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

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

eval162.0ms (1.1%)

Compiler: Compiled 6835 to 3814 computations (44.2% saved)

prune75.0ms (0.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	311	15	326
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	313	15	328

Accurracy

62.8%

Counts

328 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.3%	(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
▶	34.1%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	61.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	37.0%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
	33.5%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	36.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	33.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	37.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
	33.5%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
▶	37.0%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	34.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	61.3%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	37.0%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	61.3%	(.f64 (cos.f64 th) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))))
▶	61.4%	(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))

Compiler

Compiled 432 to 322 computations (25.5% saved)

localize33.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
✓	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.2%	(/.f64 (sqrt.f64 2) a1)
✓	99.2%	(*.f64 a2 (pow.f64 2 -1/2))

Compiler

Compiled 68 to 48 computations (29.4% saved)

series7.0ms (0%)

Counts

4 → 60

Calls

18 calls:

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

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`log-prod`
1126×	`fma-def`
648×	`expm1-udef`
644×	`log1p-udef`
378×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	371	84
2	5071	84

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

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

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

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-r`
744×	`cancel-sign-sub-inv`
716×	`associate-l`
644×	`log-prod`
532×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	8004
1	1115	7790
2	4279	7644

Stop Event

1×	node limit

Counts

226 → 229

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 31 to 12 computations (61.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`prod-diff`
1038×	`log-prod`
664×	`pow-prod-down`
542×	`pow-exp`
532×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	234	23
2	3046	23

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

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

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1726×	`log-prod`
1144×	`associate-/r/`
984×	`fma-neg`
726×	`unswap-sqr`
670×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2149
1	283	2107
2	738	2067
3	2778	1983
4	7163	1983

Stop Event

1×	node limit

Counts

67 → 72

Calls

Call 1

Inputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 0 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 1)
(*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 -1/2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(*.f64 1 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 -1/2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)))
(.f64 (hypot.f64 a2 a1) (.f64 (hypot.f64 a2 a1) (pow.f64 2 -1/2)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(*.f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a2 a1) 2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/6)))
(*.f64 (pow.f64 2 -1/4) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 4)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (pow.f64 2 1/4)))
(*.f64 (/.f64 (hypot.f64 a2 a1) 1) (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 2)) (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/6)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 3)
(pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2) 1/2)
(pow.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6) 1/3)
(pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) -1)
(pow.f64 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2)) 1) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))
(cbrt.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 6) (pow.f64 2 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4)) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 a2 a1) (pow.f64 2 1/4))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a2 a1) -2))) -1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2))))

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

localize22.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`log-prod`
820×	`prod-exp`
688×	`pow-prod-down`
520×	`pow-prod-up`
478×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	225	27
2	2761	27

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1258×	`fma-def`
782×	`times-frac`
674×	`log-prod`
556×	`associate-/l*`
510×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	2110
1	373	2058
2	968	2054
3	3926	1998

Stop Event

1×	node limit

Counts

68 → 73

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
✓	99.1%	(/.f64 (sqrt.f64 2) (*.f64 a1 a1))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	th	@	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
1.0ms	th	@	-inf	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
1.0ms	th	@	inf	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
0.0ms	a1	@	0	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
0.0ms	a1	@	0	(/.f64 (sqrt.f64 2) (*.f64 a1 a1))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`log-prod`
630×	`pow-prod-down`
528×	`pow-prod-up`
494×	`pow-exp`
406×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	231	44
2	3042	44

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
1094×	`associate-/r*`
926×	`log-prod`
912×	`log-div`
770×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3882
1	693	3732
2	2008	3730
3	5884	3730

Stop Event

1×	node limit

Counts

136 → 148

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 a2 a2) (cos.f64 th))
✓	99.6%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite123.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`log-prod`
808×	`prod-exp`
678×	`pow-prod-down`
520×	`pow-prod-up`
478×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	225	44
2	2841	44

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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

simplify142.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1172×	`times-frac`
956×	`fma-def`
892×	`associate-*r/`
856×	`log-prod`
736×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	4111
1	715	3995
2	2267	3969
3	7587	3969

Stop Event

1×	node limit

Counts

141 → 151

Calls

Call 1

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

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

eval341.0ms (2.3%)

Compiler: Compiled 13338 to 8420 computations (36.9% saved)

prune262.0ms (1.7%)

Pruning

59 alts after pruning (57 fresh and 2 done)

	Pruned	Kept	Total
New	671	52	723
Fresh	5	5	10
Picked	0	1	1
Done	3	1	4
Total	679	59	738

Accurracy

62.8%

Counts

738 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))))
▶	18.6%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
	18.6%	(fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (.f64 th th)) (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (.f64 a2 (*.f64 a2 (pow.f64 th 4))) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
	19.4%	(fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (*.f64 th th)) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	11.6%	(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)
	33.1%	(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
	36.7%	(/.f64 (pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (sqrt.f64 2))
	36.7%	(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 1/6)) (cbrt.f64 2))
▶	61.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	19.6%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	19.0%	(/.f64 (.f64 (.f64 a2 a2) (+.f64 1 (fma.f64 -1/2 (.f64 th th) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))
✓	37.0%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
	33.5%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	37.1%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	21.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	33.5%	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	21.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	24.6%	(/.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))))) 3)) (sqrt.f64 2))
	24.7%	(/.f64 (exp.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (sqrt.f64 2))
	16.6%	(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6) 1/3))
	33.3%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2))
✓	33.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	33.1%	(/.f64 (cos.f64 th) (.f64 (pow.f64 (cbrt.f64 (.f64 a1 a1)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1)))))
	33.4%	(/.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a1 a1))))
	16.6%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6)) 1/3)))
	1.3%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a1)) 2)))
▶	31.4%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1)))
	17.2%	(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6)))
	37.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
	21.7%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	21.2%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	19.8%	(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 1)
	19.6%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))
	36.4%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2))
	33.4%	(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a1 -2)))
	33.5%	(.f64 (pow.f64 2 -1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
	37.0%	(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
	33.4%	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
	21.7%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶	21.2%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	34.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	21.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	19.6%	(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	36.4%	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	61.3%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	36.8%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
	36.4%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	36.5%	(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	37.1%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	7.5%	(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))) 3)
	21.9%	(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (.f64 2 (pow.f64 a1 -4)))))
	37.1%	(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
	33.5%	(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
	7.6%	(log.f64 (exp.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
	28.2%	(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
	24.5%	(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 1) (.f64 -1/2 (log.f64 2))))
	25.2%	(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 3))
	24.6%	(exp.f64 (log.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
	25.4%	(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))

Compiler

Compiled 1842 to 1436 computations (22% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	99.6%	(/.f64 (sqrt.f64 2) (cos.f64 th))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series2.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`log-prod`
1304×	`prod-diff`
528×	`expm1-udef`
526×	`log1p-udef`
480×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	300	48
2	4068	48

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

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

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

simplify77.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1570×	`fma-def`
1316×	`unswap-sqr`
752×	`distribute-lft-in`
720×	`distribute-rgt-in`
530×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	4844
1	651	4660
2	2388	4362

Stop Event

1×	node limit

Counts

122 → 140

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.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 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(+.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(.f64 1 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (/.f64 1 (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))))
(+.f64 (sqrt.f64 2) (.f64 1/2 (.f64 (sqrt.f64 2) (*.f64 th th))))
(fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (sqrt.f64 2))
(.f64 (sqrt.f64 2) (+.f64 1 (.f64 1/2 (*.f64 th th))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (neg.f64 (.f64 (.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4)))))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 th 4))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 th th) 1/2) (.f64 -5/24 (pow.f64 th 4)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (sqrt.f64 2)) (+.f64 (.f64 1/2 (+.f64 (.f64 1/24 (sqrt.f64 2)) (.f64 -1/4 (sqrt.f64 2)))) (.f64 1/48 (sqrt.f64 2)))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 2) (pow.f64 th 2))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (sqrt.f64 2)) (*.f64 -1/4 (sqrt.f64 2))) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1 (.f64 (fma.f64 -1/720 (sqrt.f64 2) (fma.f64 1/2 (.f64 (sqrt.f64 2) -5/24) (.f64 (sqrt.f64 2) 1/48))) (pow.f64 th 6)) (fma.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)) (neg.f64 (.f64 (*.f64 (sqrt.f64 2) -5/24) (pow.f64 th 4))))))
(+.f64 (sqrt.f64 2) (-.f64 (fma.f64 (neg.f64 (fma.f64 (sqrt.f64 2) -1/720 (fma.f64 (sqrt.f64 2) 1/48 (.f64 (sqrt.f64 2) -5/48)))) (pow.f64 th 6) (.f64 1/2 (.f64 (sqrt.f64 2) (.f64 th th)))) (.f64 (sqrt.f64 2) (.f64 -5/24 (pow.f64 th 4)))))
(+.f64 (.f64 (sqrt.f64 2) (-.f64 (.f64 (.f64 th th) 1/2) (.f64 -5/24 (pow.f64 th 4)))) (fma.f64 (fma.f64 (sqrt.f64 2) -1/720 (*.f64 (sqrt.f64 2) -1/12)) (neg.f64 (pow.f64 th 6)) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (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 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(*.f64 a2 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(+.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (.f64 a2 a2))) (/.f64 (.f64 (cos.f64 th) (*.f64 a1 a1)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th)))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (.f64 -1/2 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (*.f64 th th))))))
(+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (+.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (fma.f64 -1/2 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (.f64 1/24 (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 4))))))))
(+.f64 (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (/.f64 (.f64 -1/2 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (.f64 th th))))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (fma.f64 1/24 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (sqrt.f64 2)) (cos.f64 th))
(+.f64 0 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 1)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (sqrt.f64 2) (/.f64 1 (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 1 (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (cos.f64 th))))
(.f64 (cbrt.f64 2) (.f64 (/.f64 1 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(.f64 (pow.f64 2 1/4) (.f64 (pow.f64 2 1/4) (/.f64 1 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (/.f64 1 (cos.f64 th)) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (cos.f64 th))) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(.f64 (cbrt.f64 2) (.f64 (/.f64 1 (cos.f64 th)) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cos.f64 th)))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (cos.f64 th))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 1)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 3)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3) 1/3)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 2)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1)
(/.f64 (sqrt.f64 2) (cos.f64 th))
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(sqrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (cos.f64 th) 3)))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))) 1))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th))))
(/.f64 (sqrt.f64 2) (cos.f64 th))
(+.f64 0 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 1 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 1 (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))
(.f64 (cbrt.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (/.f64 1 (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2))))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1) (cos.f64 th))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 3)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3) 1/3)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th))) -1)
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (neg.f64 (sqrt.f64 2)) (cos.f64 th))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 2))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) 3)))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))
(*.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))
(*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓	99.4%	(/.f64 a1 (sqrt.f64 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`pow1`
1464×	`add-exp-log`
1464×	`log1p-expm1-u`
1464×	`expm1-log1p-u`
1430×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	165	28
2	2007	28

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1682×	`fma-def`
1394×	`log-prod`
1068×	`log-div`
844×	`unswap-sqr`
700×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1300
1	279	1180
2	1001	1072
3	5483	1072

Stop Event

1×	node limit

Counts

62 → 67

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (*.f64 (pow.f64 2 -1/2) (cbrt.f64 a1)))
(.f64 (pow.f64 2 -1/2) (.f64 (cbrt.f64 (*.f64 a1 a1)) (cbrt.f64 a1)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 a1 2) a1)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 (/.f64 a1 2))))
(.f64 (cbrt.f64 (/.f64 (.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (.f64 a1 a1) 2)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 (/.f64 a1 2) a1)))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (.f64 a1 (/.f64 a1 2))))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) a1)
(*.f64 a1 (pow.f64 2 -1/2))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))
(.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (/.f64 (cbrt.f64 (.f64 a1 a1)) (cbrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 a1 a1)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))
(.f64 (cbrt.f64 (.f64 a1 a1)) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))
(/.f64 a1 (*.f64 (cbrt.f64 2) (cbrt.f64 (sqrt.f64 2))))
(pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))
(sqrt.f64 (*.f64 (/.f64 a1 2) a1))
(sqrt.f64 (*.f64 a1 (/.f64 a1 2)))
(log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))
(+.f64 1 (-.f64 (/.f64 a1 (sqrt.f64 2)) 1))
(+.f64 (/.f64 a1 (sqrt.f64 2)) 0)
(/.f64 a1 (sqrt.f64 2))
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 a1 a1) (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(*.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 a1 (cbrt.f64 2)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))

localize46.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	99.6%	(/.f64 (sqrt.f64 2) (cos.f64 th))

Compiler

Compiled 27 to 15 computations (44.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`log-prod`
646×	`pow-prod-down`
526×	`pow-prod-up`
488×	`pow-exp`
406×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	231	27
2	3044	27

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

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

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

simplify140.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1728×	`fma-def`
1278×	`associate-r`
1176×	`log-prod`
1090×	`associate-l`
1012×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	185	2764
1	484	2720
2	1503	2720
3	6725	2720

Stop Event

1×	node limit

Counts

80 → 100

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2))
	99.4%	(/.f64 a1 (sqrt.f64 2))
✓	97.1%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
✓	78.0%	(.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th))

Compiler

Compiled 62 to 35 computations (43.5% saved)

series9.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	th	@	0	(.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th))
1.0ms	a1	@	0	(.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th))
1.0ms	th	@	inf	(.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th))
0.0ms	th	@	0	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
0.0ms	a1	@	inf	(.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th))

rewrite104.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`log-prod`
698×	`prod-diff`
576×	`expm1-udef`
572×	`log1p-udef`
496×	`log-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	111
1	334	111
2	4258	111

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

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

(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (*.f64 (/.f64 (*.f64 -1/2 (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 th th)))

(/.f64 (*.f64 -1/2 (*.f64 a1 a1)) (sqrt.f64 2))

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

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1898×	`fma-def`
1114×	`distribute-lft-in`
598×	`log-prod`
408×	`associate-r`
406×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	281	6742
1	725	6542
2	3274	6516

Stop Event

1×	node limit

Counts

168 → 175

Calls

Call 1

Inputs
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 0 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))) 1)
(/.f64 (.f64 -1/2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))
(/.f64 (.f64 th th) (.f64 -2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)))))
(/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) (sqrt.f64 2))
(/.f64 (neg.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)))) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 -1/2 (.f64 th th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (.f64 (.f64 th th) (.f64 (.f64 a1 a1) 1/2)) (neg.f64 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (.f64 a1 a1) 1/2) (.f64 th th)) (neg.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) 1) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 3) 1/3)
(pow.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) 2)
(sqrt.f64 (.f64 (pow.f64 th 4) (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3) (pow.f64 (.f64 th th) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 th th) 3) (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(+.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(+.f64 0 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(+.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))) (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) 1)
(.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))) 1)
(.f64 1 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) (pow.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) 2) (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 (hypot.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (hypot.f64 (.f64 th (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3) (pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) 3)) (fma.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (-.f64 (.f64 (pow.f64 th 4) (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))
(/.f64 (-.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 (pow.f64 th 4) (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2))) (-.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))) 3)
(pow.f64 (pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 3) 1/3)
(pow.f64 (hypot.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 2))
(log.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))) (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(log.f64 (.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))))
(cbrt.f64 (pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(exp.f64 (log.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(exp.f64 (.f64 (log.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(+.f64 0 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))) 1)
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 -1/2 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (*.f64 -1/2 (pow.f64 2 -1/2)))
(.f64 (.f64 -1/2 (*.f64 a1 a1)) (pow.f64 2 -1/2))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1)) 1)
(.f64 1 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (.f64 (cbrt.f64 (.f64 -1/2 (*.f64 a1 a1))) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))) (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)))
(.f64 (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)) (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (.f64 a1 (sqrt.f64 -1/2)) (.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 -1/2)))
(.f64 (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)))
(.f64 (.f64 (*.f64 a1 a1) 1/2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (pow.f64 2 -1/2) (.f64 -1/2 (*.f64 a1 a1)))
(.f64 (.f64 -1/2 a1) (/.f64 a1 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 -1/2 (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a1 a1) 1) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 (.f64 a1 a1) (cbrt.f64 2)) (/.f64 -1/2 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 -1/2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (.f64 -1/2 (*.f64 a1 a1)) (pow.f64 2 1/4)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) 1) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 a1 a1))) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (cbrt.f64 2)) (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 a1 a1))) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a1 (sqrt.f64 -1/2)) 1) (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (cbrt.f64 2)) (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 -1/2 a1) 1) (/.f64 a1 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 -1/2 a1) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 -1/2 a1) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 a1 a1))) -1)
(neg.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 a1 4)) 2))
(log.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))))
(cbrt.f64 (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 a1 a1)) 3) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(exp.f64 (log.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))) 1))
(log1p.f64 (expm1.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))

Outputs
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))) (pow.f64 a1 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(+.f64 0 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (*.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))) 1)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 -1/2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (*.f64 th th)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 th th) (.f64 -2 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) (sqrt.f64 2))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (neg.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th)))) (neg.f64 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 -1/2 (.f64 th th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 (.f64 th th) (.f64 (.f64 a1 a1) 1/2)) (neg.f64 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (.f64 (.f64 (.f64 a1 a1) 1/2) (.f64 th th)) (neg.f64 (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) 1) (sqrt.f64 2))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(/.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a1 a1))) (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 2)))
(.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 th th) (cbrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 (sqrt.f64 2))) (/.f64 (.f64 a1 (.f64 a1 (.f64 th th))) (cbrt.f64 2)))
(/.f64 (/.f64 (.f64 -1/2 (.f64 (.f64 a1 a1) (.f64 th th))) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 1)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(pow.f64 (cbrt.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 3)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(pow.f64 (pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 3) 1/3)
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(pow.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) 2)
(pow.f64 (.f64 th (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 th 4) (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)))
(sqrt.f64 (*.f64 (pow.f64 th 4) (/.f64 1/4 (/.f64 2 (pow.f64 a1 4)))))
(sqrt.f64 (.f64 (pow.f64 th 4) (.f64 1/8 (pow.f64 a1 4))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(cbrt.f64 (pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 3))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3) (pow.f64 (.f64 th th) 3)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 th th) 3) (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3)))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(expm1.f64 (log1p.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(exp.f64 (log.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))) 1))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(log1p.f64 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(.f64 -1/2 (/.f64 (.f64 (.f64 th th) (.f64 a1 a1)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(/.f64 (.f64 a1 (.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) -1/2))
(+.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 0 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 1) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))) (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (.f64 a1 a1))))) (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (.f64 a1 a1))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (*.f64 a1 a1)))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))))))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 a1 (*.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a1 a1)) (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 a1 a1)) (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (*.f64 a1 a1)))))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (.f64 a1 (*.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 a1 a1)) (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) 1)
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))) 1)
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 1 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) (pow.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))) 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) 2) (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(.f64 (hypot.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (hypot.f64 (.f64 th (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(pow.f64 (hypot.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 2)
(pow.f64 (hypot.f64 (.f64 th (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 2)
(pow.f64 (hypot.f64 (.f64 th (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2))) (sqrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 2)
(/.f64 (+.f64 (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3) (pow.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) 3)) (fma.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (-.f64 (.f64 (pow.f64 th 4) (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (.f64 a1 a1)) 3) (pow.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) 3)) (fma.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (-.f64 (.f64 (pow.f64 th 4) (/.f64 1/4 (/.f64 2 (pow.f64 a1 4)))) (.f64 (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))) 3) (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) 3)) (fma.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 (pow.f64 th 4) (.f64 1/8 (pow.f64 a1 4)) (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 th (.f64 th (.f64 a1 a1)))))))))
(/.f64 (fma.f64 (/.f64 (pow.f64 th 6) (pow.f64 (/.f64 (sqrt.f64 2) -1/2) 3)) (pow.f64 a1 6) (/.f64 (pow.f64 a1 6) (pow.f64 (sqrt.f64 2) 3))) (fma.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (fma.f64 (pow.f64 th 4) (.f64 1/8 (pow.f64 a1 4)) (.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (.f64 a1 a1))) 1/2)))))
(/.f64 (-.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 (pow.f64 th 4) (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2))) (-.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a1 (sqrt.f64 2)) a1)) (.f64 (pow.f64 th 4) (/.f64 1/4 (/.f64 2 (pow.f64 a1 4))))) (-.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 (.f64 (.f64 -1/2 th) th) (sqrt.f64 2)) (*.f64 a1 a1))))
(/.f64 (-.f64 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 (pow.f64 th 4) (.f64 1/8 (pow.f64 a1 4)))) (fma.f64 (/.f64 a1 (sqrt.f64 2)) a1 (/.f64 1/2 (/.f64 (sqrt.f64 2) (.f64 th (.f64 th (.f64 a1 a1)))))))
(/.f64 (fma.f64 (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (pow.f64 th 4) (.f64 -1/8 (pow.f64 a1 4)))) (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 th th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) 1/2)))
(pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 1)
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(pow.f64 (cbrt.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))) 3)
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(pow.f64 (pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 3) 1/3)
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(pow.f64 (hypot.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 2)
(pow.f64 (hypot.f64 (.f64 th (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4))) (sqrt.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) a1))) 2)
(pow.f64 (hypot.f64 (.f64 th (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2))) (sqrt.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) 2)
(pow.f64 (hypot.f64 (.f64 th (.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2))) (sqrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 2))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(log.f64 (exp.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 th) th) (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))) (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(log.f64 (.f64 (exp.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 1 (expm1.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1)))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(cbrt.f64 (pow.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))) 3))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(expm1.f64 (log1p.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(exp.f64 (log.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(exp.f64 (.f64 (log.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (.f64 a1 a1))))) 1))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(log1p.f64 (expm1.f64 (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))))))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 th th) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))) (*.f64 a1 a1))
(.f64 a1 (.f64 a1 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2)))))
(.f64 (fma.f64 -1/2 (/.f64 th (/.f64 (sqrt.f64 2) th)) (/.f64 1 (sqrt.f64 2))) (.f64 a1 a1))
(+.f64 0 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a1 a1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a1 a1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a1 a1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) a1) (/.f64 a1 (sqrt.f64 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) a1) (/.f64 a1 (sqrt.f64 2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))))
(.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 -1/2 (sqrt.f64 2))) (.f64 a1 a1)))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -1/2) a1) (/.f64 a1 (sqrt.f64 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))) 1)
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (*.f64 -1/2 (pow.f64 2 -1/2)))
(.f64 a1 (.f64 a1 (*.f64 -1/2 (pow.f64 2 -1/2))))
(.f64 -1/2 (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (.f64 -1/2 a1) (*.f64 a1 (pow.f64 2 -1/2)))
(.f64 (.f64 -1/2 (*.f64 a1 a1)) (pow.f64 2 -1/2))
(.f64 a1 (.f64 a1 (*.f64 -1/2 (pow.f64 2 -1/2))))
(.f64 -1/2 (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (.f64 -1/2 a1) (*.f64 a1 (pow.f64 2 -1/2)))
(.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1)) 1)
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 1 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (.f64 (cbrt.f64 (.f64 -1/2 (*.f64 a1 a1))) (pow.f64 2 -1/2)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (.f64 (pow.f64 2 -1/2) (cbrt.f64 (.f64 -1/2 (*.f64 a1 a1)))))
(.f64 (cbrt.f64 (.f64 -1/2 (.f64 a1 a1))) (.f64 (pow.f64 2 -1/2) (cbrt.f64 (*.f64 1/4 (pow.f64 a1 4)))))
(.f64 (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))) (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)))
(.f64 (cbrt.f64 (.f64 (*.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 1/4 (/.f64 2 (pow.f64 a1 4)))))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (*.f64 1/8 (pow.f64 a1 4))))
(.f64 (cbrt.f64 (.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))) (cbrt.f64 (.f64 1/8 (pow.f64 a1 4))))
(.f64 (cbrt.f64 (/.f64 (.f64 1/4 (pow.f64 a1 4)) 2)) (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 (*.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))) (cbrt.f64 (/.f64 1/4 (/.f64 2 (pow.f64 a1 4)))))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (*.f64 1/8 (pow.f64 a1 4))))
(.f64 (cbrt.f64 (.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))) (cbrt.f64 (.f64 1/8 (pow.f64 a1 4))))
(.f64 (.f64 a1 (sqrt.f64 -1/2)) (.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 -1/2)))
(.f64 a1 (.f64 a1 (*.f64 -1/2 (pow.f64 2 -1/2))))
(.f64 -1/2 (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (.f64 -1/2 a1) (*.f64 a1 (pow.f64 2 -1/2)))
(.f64 (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2)) 2)
(.f64 (.f64 (*.f64 a1 a1) 1/2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (pow.f64 2 -1/2) (.f64 -1/2 (*.f64 a1 a1)))
(.f64 a1 (.f64 a1 (*.f64 -1/2 (pow.f64 2 -1/2))))
(.f64 -1/2 (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (.f64 -1/2 a1) (*.f64 a1 (pow.f64 2 -1/2)))
(.f64 (.f64 -1/2 a1) (/.f64 a1 (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) a1))
(.f64 (/.f64 -1/2 (pow.f64 2 1/4)) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2)) 2)
(.f64 (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 -1/2 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2)) 2)
(.f64 (/.f64 (.f64 a1 a1) 1) (/.f64 -1/2 (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a1 a1) (cbrt.f64 2)) (/.f64 -1/2 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) a1))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 -1/2 (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) a1))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (.f64 -1/2 (*.f64 a1 a1)) (pow.f64 2 1/4)))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2)) 2)
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) 1) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 a1 a1))) (sqrt.f64 2)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 a1 a1))) (sqrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (cbrt.f64 2)) (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))) (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (cbrt.f64 2)))
(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))) (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 a1 4))) (cbrt.f64 2)))
(.f64 (cbrt.f64 (.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (cbrt.f64 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 -1/2 (.f64 a1 a1))) (pow.f64 2 1/4)))
(/.f64 (/.f64 (cbrt.f64 (.f64 1/4 (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (.f64 -1/2 (*.f64 a1 a1)))))
(.f64 (/.f64 (.f64 a1 (sqrt.f64 -1/2)) 1) (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a1 (sqrt.f64 -1/2)) (cbrt.f64 2)) (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) a1))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 -1/2 a1) 1) (/.f64 a1 (sqrt.f64 2)))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(.f64 (/.f64 (.f64 -1/2 a1) (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))
(/.f64 (.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) a1))
(.f64 (/.f64 -1/2 (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (.f64 -1/2 a1) (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2)) 2)
(pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 1)
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(pow.f64 (cbrt.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))) 3)
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(pow.f64 (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3) 1/3)
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(pow.f64 (/.f64 (*.f64 a1 (sqrt.f64 -1/2)) (pow.f64 2 1/4)) 2)
(pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 -1/2)) 2)
(pow.f64 (.f64 -2 (/.f64 (sqrt.f64 2) (.f64 a1 a1))) -1)
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(neg.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (neg.f64 (sqrt.f64 2))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(sqrt.f64 (/.f64 (*.f64 1/4 (pow.f64 a1 4)) 2))
(sqrt.f64 (/.f64 1/4 (/.f64 2 (pow.f64 a1 4))))
(sqrt.f64 (*.f64 1/8 (pow.f64 a1 4)))
(log.f64 (exp.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1)) 3))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 -1/2 (.f64 a1 a1)) 3) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (.f64 -1/8 (pow.f64 (.f64 a1 a1) 3)) (*.f64 2 (sqrt.f64 2))))
(cbrt.f64 (.f64 -1/16 (/.f64 (pow.f64 (.f64 a1 a1) 3) (sqrt.f64 2))))
(cbrt.f64 (*.f64 -1/16 (/.f64 (pow.f64 a1 6) (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(exp.f64 (log.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (*.f64 a1 a1))) 1))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 -1/2 (sqrt.f64 2)) (.f64 a1 a1))))
(.f64 (.f64 a1 a1) (/.f64 -1/2 (sqrt.f64 2)))
(*.f64 -1/2 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a1 (/.f64 (.f64 -1/2 a1) (sqrt.f64 2)))

localize80.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.4%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1)))
✓	95.1%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1))
✓	55.9%	(log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))

Compiler

Compiled 59 to 37 computations (37.3% saved)

series42.0ms (0.3%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
33.0ms	a1	@	0	(log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
7.0ms	a1	@	inf	(log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
0.0ms	a1	@	0	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1))
0.0ms	a1	@	inf	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1))
0.0ms	th	@	0	(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1)))

rewrite110.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`log-prod`
654×	`pow-prod-down`
604×	`pow-prod-up`
548×	`pow-exp`
452×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	100
1	302	82
2	3761	8

Stop Event

1×	node limit

Counts

4 → 37

Calls

Call 1

Inputs
(log.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1))
(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1)))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

Outputs
0
1
(+.f64 0 (cos.f64 th))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(*.f64 (neg.f64 (cos.f64 th)) -1)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (cbrt.f64 (cos.f64 th)))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(pow.f64 (/.f64 1 (cos.f64 th)) -1)
(pow.f64 (/.f64 (/.f64 1 (cos.f64 th)) 1) -1)
(neg.f64 (/.f64 (cos.f64 th) -1))
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(exp.f64 (*.f64 (log.f64 (cos.f64 th)) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cos.f64 th))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 th)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 th))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 th))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 th))) 2))
(log1p.f64 (expm1.f64 (cos.f64 th)))
1

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1074×	`associate-r`
964×	`associate-l`
706×	`log-prod`
566×	`fma-def`
526×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1823
1	269	1811
2	880	1789
3	5743	1789

Stop Event

1×	node limit

Counts

97 → 66

Calls

Call 1

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

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

eval305.0ms (2%)

Compiler: Compiled 12322 to 7639 computations (38% saved)

prune198.0ms (1.3%)

Pruning

73 alts after pruning (68 fresh and 5 done)

	Pruned	Kept	Total
New	610	39	649
Fresh	23	29	52
Picked	1	0	1
Done	1	5	6
Total	635	73	708

Accurracy

63.2%

Counts

708 → 73

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.9%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 (.f64 -1/2 th) th))))
	18.6%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (.f64 (pow.f64 2 -1/2) (.f64 -1/2 (.f64 a1 a1))) (*.f64 th th)))
	15.1%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 1/8 (pow.f64 a1 4))) (*.f64 th th)))
	14.2%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 (.f64 (pow.f64 th 4) (.f64 1/8 (pow.f64 a1 4)))))
	3.1%	(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
	21.2%	(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
	4.4%	(pow.f64 (/.f64 1 (cos.f64 th)) -1)
	3.1%	(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
	21.0%	(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
	4.4%	(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
	36.7%	(/.f64 (pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (sqrt.f64 2))
	21.2%	(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
✓	61.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	19.6%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	19.0%	(/.f64 (.f64 (.f64 a2 a2) (+.f64 1 (fma.f64 -1/2 (.f64 th th) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))
✓	37.0%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
	33.5%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	37.1%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	21.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	33.5%	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	21.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	33.0%	(/.f64 (*.f64 a1 a1) (log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
	24.7%	(/.f64 (exp.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (sqrt.f64 2))
	33.3%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2))
✓	33.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	29.9%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 -1 a1))) (log.f64 (sqrt.f64 2))) -1)))
	1.3%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 a1)))) -1)))
	1.3%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a1)) 2)))
	17.2%	(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6)))
	37.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
	21.7%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	21.2%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	21.1%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	15.7%	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	4.4%	(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
	18.6%	(+.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
	19.6%	(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))
	2.7%	(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
	4.4%	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
▶	21.2%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
	36.4%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2))
	21.0%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3) a1)
	33.5%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
	37.0%	(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
	21.7%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	33.4%	(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
✓	21.2%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	34.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	19.6%	(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	36.4%	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	21.2%	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
	36.8%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
	21.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
	21.2%	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	21.1%	(.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (cbrt.f64 a1))) a1)
	36.4%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	36.5%	(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	9.2%	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
	37.1%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	13.2%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	33.5%	(.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
▶	37.1%	(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
	33.5%	(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
▶	4.4%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
	4.4%	(log1p.f64 (expm1.f64 (cos.f64 th)))
	4.4%	(log.f64 (exp.f64 (cos.f64 th)))
	20.6%	(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
	4.4%	(expm1.f64 (log1p.f64 (cos.f64 th)))
	24.5%	(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 1) (.f64 -1/2 (log.f64 2))))
	3.1%	(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 th))) 1/3))
	24.6%	(exp.f64 (log.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
▶	4.4%	(cos.f64 th)
▶	4.4%	(cbrt.f64 (pow.f64 (cos.f64 th) 3))

Compiler

Compiled 1949 to 1545 computations (20.7% saved)

localize16.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 a2 (cos.f64 th))
✓	99.8%	(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
✓	99.3%	(.f64 (.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series7.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`log-prod`
880×	`prod-exp`
796×	`pow-prod-down`
540×	`pow-prod-up`
472×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	246	59
2	2854	59

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

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

Outputs
(+.f64 0 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))) 1)
(pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 3)
(pow.f64 (.f64 1/2 (pow.f64 (.f64 a2 (cos.f64 th)) 2)) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 2)
(sqrt.f64 (.f64 1/2 (pow.f64 (.f64 a2 (cos.f64 th)) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a2 (cos.f64 th))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))))
(exp.f64 (log.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))) 2))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 1) (log.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(exp.f64 (+.f64 (log.f64 (.f64 a2 (cos.f64 th))) (.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (cos.f64 th))) 1) (log.f64 (sqrt.f64 1/2))))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (cos.f64 th))) 1) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 1/2)) (.f64 (log.f64 (.f64 a2 (cos.f64 th))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (.f64 a2 (cos.f64 th)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (.f64 (log.f64 (*.f64 a2 (cos.f64 th))) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2))) (.f64 (log.f64 a2) 1)))
(log1p.f64 (expm1.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))))
(+.f64 0 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))) a2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))) a2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))) a2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (.f64 a2 (cos.f64 th))) a2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))))) 1)
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2) 1/2) 1/2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)) 2) 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a2 (cos.f64 th))) a2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (cos.f64 th))))) 2))
(exp.f64 (+.f64 (log.f64 a2) (.f64 (log.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 1) (log.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2)))))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 1) (.f64 (log.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 1/2)) 1) (log.f64 (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(exp.f64 (+.f64 (log.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) (*.f64 (log.f64 a2) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 1) (log.f64 a2)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 1) (.f64 (log.f64 a2) 1)))
(exp.f64 (+.f64 (log.f64 (.f64 (.f64 a2 a2) (cos.f64 th))) (*.f64 (log.f64 (sqrt.f64 1/2)) 1)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(+.f64 0 (*.f64 a2 (cos.f64 th)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)
(pow.f64 (*.f64 a2 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)
(sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 a2 (cos.f64 th))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 a2 (cos.f64 th))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (cos.f64 th)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 a2 (cos.f64 th)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a2 (cos.f64 th)))) 2))
(exp.f64 (+.f64 (log.f64 a2) (*.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 a2) 1) (log.f64 (cos.f64 th))))
(exp.f64 (+.f64 (.f64 (log.f64 a2) 1) (.f64 (log.f64 (cos.f64 th)) 1)))
(exp.f64 (+.f64 (log.f64 (cos.f64 th)) (*.f64 (log.f64 a2) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 th)) 1) (log.f64 a2)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 th)) 1) (.f64 (log.f64 a2) 1)))
(log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1354×	`log-prod`
1154×	`distribute-lft-in`
1122×	`distribute-rgt-in`
1042×	`unswap-sqr`
698×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	3601
1	620	3491
2	1881	3405
3	7319	3405

Stop Event

1×	node limit

Counts

149 → 134

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize12.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
✓	99.5%	(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
	99.2%	(/.f64 (sqrt.f64 2) a1)

Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`pow1`
1726×	`add-exp-log`
1726×	`log1p-expm1-u`
1726×	`expm1-log1p-u`
1686×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	208	28
2	2415	28

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (/.f64 (sqrt.f64 2) a1) -1)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)

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

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1560×	`fma-def`
1396×	`log-prod`
1344×	`log-div`
792×	`associate-*r/`
786×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1204
1	311	1180
2	975	1168
3	5749	1168

Stop Event

1×	node limit

Counts

78 → 60

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(cbrt.f64 (pow.f64 (cos.f64 th) 3))
✓	99.4%	(pow.f64 (cos.f64 th) 3)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	th	@	-inf	(pow.f64 (cos.f64 th) 3)
0.0ms	th	@	inf	(pow.f64 (cos.f64 th) 3)
0.0ms	th	@	0	(pow.f64 (cos.f64 th) 3)
0.0ms	th	@	0	(cbrt.f64 (pow.f64 (cos.f64 th) 3))
0.0ms	th	@	inf	(cbrt.f64 (pow.f64 (cos.f64 th) 3))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`pow1`
1148×	`add-exp-log`
1148×	`log1p-expm1-u`
1148×	`expm1-log1p-u`
1122×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	163	16
2	1623	16

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(pow.f64 (cos.f64 th) 3)
(cbrt.f64 (pow.f64 (cos.f64 th) 3))

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

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1430×	`fma-def`
794×	`unswap-sqr`
790×	`exp-prod`
692×	`log-prod`
660×	`exp-sum`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	777
1	220	655
2	702	529
3	2676	525
4	6613	525

Stop Event

1×	node limit

Counts

55 → 69

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 th 4)) (.f64 -3/2 (pow.f64 th 2))))
(+.f64 (.f64 -61/240 (pow.f64 th 6)) (+.f64 1 (+.f64 (.f64 7/8 (pow.f64 th 4)) (*.f64 -3/2 (pow.f64 th 2)))))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 th) 3)) 1)
(*.f64 (cos.f64 th) (pow.f64 (cos.f64 th) 2))
(*.f64 (pow.f64 (cos.f64 th) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 th) 3))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cos.f64 th) 2)))
(*.f64 (pow.f64 (cos.f64 th) 2) (cos.f64 th))
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (cos.f64 th) 2)))
(*.f64 (pow.f64 (cos.f64 th) 3/2) (pow.f64 (cos.f64 th) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 3) (cos.f64 th))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 th)) 3) (pow.f64 (sqrt.f64 (cos.f64 th)) 3))
(.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1) (cos.f64 th))
(.f64 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(.f64 (.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(sqrt.f64 (pow.f64 (cos.f64 th) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 th) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 th) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 th) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 th))))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 th) 3)))
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(*.f64 (cos.f64 th) 1)
(*.f64 1 (cos.f64 th))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (pow.f64 (cos.f64 th) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) 2) 1/3) (cbrt.f64 (cos.f64 th)))
(*.f64 (pow.f64 1 1/3) (cos.f64 th))
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 th) 3/2) 1/3))
(pow.f64 (cos.f64 th) 1)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 th 2)))
(+.f64 1 (.f64 -3/2 (.f64 th th)))
(fma.f64 -3/2 (*.f64 th th) 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 th 4)) (.f64 -3/2 (pow.f64 th 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 th 4) (.f64 -3/2 (.f64 th th))))
(+.f64 1 (fma.f64 -3/2 (.f64 th th) (.f64 7/8 (pow.f64 th 4))))
(fma.f64 -3/2 (*.f64 th th) (fma.f64 7/8 (pow.f64 th 4) 1))
(fma.f64 (.f64 th th) (fma.f64 (.f64 th th) 7/8 -3/2) 1)
(+.f64 (.f64 -61/240 (pow.f64 th 6)) (+.f64 1 (+.f64 (.f64 7/8 (pow.f64 th 4)) (*.f64 -3/2 (pow.f64 th 2)))))
(fma.f64 -61/240 (pow.f64 th 6) (+.f64 1 (fma.f64 7/8 (pow.f64 th 4) (.f64 -3/2 (.f64 th th)))))
(+.f64 (fma.f64 -3/2 (.f64 th th) (.f64 7/8 (pow.f64 th 4))) (fma.f64 -61/240 (pow.f64 th 6) 1))
(fma.f64 -61/240 (pow.f64 th 6) (fma.f64 -3/2 (*.f64 th th) (fma.f64 7/8 (pow.f64 th 4) 1)))
(fma.f64 -61/240 (pow.f64 th 6) (fma.f64 (.f64 th th) (fma.f64 (.f64 th th) 7/8 -3/2) 1))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 th 2)))
(+.f64 1 (.f64 (.f64 th th) -1/2))
(fma.f64 (*.f64 th th) -1/2 1)
(fma.f64 th (*.f64 th -1/2) 1)
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (.f64 -1/2 (pow.f64 th 2))))
(+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (.f64 (.f64 th th) -1/2)))
(+.f64 1 (fma.f64 (pow.f64 th 4) 1/24 (.f64 (.f64 th th) -1/2)))
(fma.f64 th (*.f64 th -1/2) (fma.f64 (pow.f64 th 4) 1/24 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(+.f64 1 (fma.f64 1/24 (pow.f64 th 4) (fma.f64 -1/720 (pow.f64 th 6) (.f64 (.f64 th th) -1/2))))
(+.f64 1 (fma.f64 (pow.f64 th 4) 1/24 (fma.f64 (.f64 th th) -1/2 (.f64 (pow.f64 th 6) -1/720))))
(+.f64 1 (fma.f64 th (.f64 th -1/2) (fma.f64 (pow.f64 th 4) 1/24 (.f64 (pow.f64 th 6) -1/720))))
(fma.f64 th (*.f64 th -1/2) (fma.f64 (pow.f64 th 6) -1/720 (fma.f64 (pow.f64 th 4) 1/24 1)))
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(cos.f64 th)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 th) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 (cos.f64 th) (pow.f64 (cos.f64 th) 2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 (pow.f64 (cos.f64 th) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 1 (pow.f64 (cos.f64 th) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cos.f64 th) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 (pow.f64 (cos.f64 th) 2) (cos.f64 th))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(.f64 (sqrt.f64 (cos.f64 th)) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (cos.f64 th) 2)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 (pow.f64 (cos.f64 th) 3/2) (pow.f64 (cos.f64 th) 3/2))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 3) (cos.f64 th))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 th)) 3) (pow.f64 (sqrt.f64 (cos.f64 th)) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(.f64 (.f64 (pow.f64 (cos.f64 th) 2) 1) (cos.f64 th))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(.f64 (.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(.f64 (.f64 (pow.f64 (cos.f64 th) 2) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(sqrt.f64 (pow.f64 (cos.f64 th) 6))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 th) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 th) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 th) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 th))))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 th) 3)))
(+.f64 1 (-.f64 (pow.f64 (cos.f64 th) 3) 1))
(+.f64 (pow.f64 (cos.f64 th) 3) 0)
(pow.f64 (cos.f64 th) 3)
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(cos.f64 th)
(*.f64 (cos.f64 th) 1)
(cos.f64 th)
(*.f64 1 (cos.f64 th))
(cos.f64 th)
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))
(cos.f64 th)
(*.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 (pow.f64 (cos.f64 th) 2) 1/3))
(cos.f64 th)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) 2) 1/3) (cbrt.f64 (cos.f64 th)))
(cos.f64 th)
(*.f64 (pow.f64 1 1/3) (cos.f64 th))
(cos.f64 th)
(*.f64 (pow.f64 (pow.f64 (cos.f64 th) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 th) 3/2) 1/3))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(cos.f64 th)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(cos.f64 th)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(cos.f64 th)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(cos.f64 th)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(cos.f64 th)
(log.f64 (exp.f64 (cos.f64 th)))
(cos.f64 th)
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(cos.f64 th)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cos.f64 th)

localize14.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(exp.f64 (cos.f64 th))
✓	99.8%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
✓	98.9%	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))
✓	98.4%	(cbrt.f64 (exp.f64 (cos.f64 th)))

Compiler

Compiled 26 to 10 computations (61.5% saved)

series91.0ms (0.6%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
69.0ms	th	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))
14.0ms	th	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))
2.0ms	th	@	inf	(cbrt.f64 (exp.f64 (cos.f64 th)))
1.0ms	th	@	-inf	(cbrt.f64 (exp.f64 (cos.f64 th)))
1.0ms	th	@	0	(cbrt.f64 (exp.f64 (cos.f64 th)))

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`pow1`
1364×	`add-exp-log`
1364×	`log1p-expm1-u`
1364×	`expm1-log1p-u`
1328×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	62
1	187	38
2	2123	38

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

Inputs
(cbrt.f64 (exp.f64 (cos.f64 th)))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(exp.f64 (cos.f64 th))

Outputs
(+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) 1/3)))
(-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) (pow.f64 (exp.f64 (cos.f64 th)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 1/3))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) 2)
(pow.f64 (exp.f64 1) (*.f64 (cos.f64 th) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 th) 1/3))) (sqrt.f64 (.f64 (cos.f64 th) 1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 2)) (cbrt.f64 (.f64 (cos.f64 th) 1/3)))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(exp.f64 (*.f64 (cos.f64 th) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 0 (*.f64 (cos.f64 th) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6)) (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 th) 1/3)) 1)
(*.f64 (cos.f64 th) 1/3)
(.f64 (.f64 (cos.f64 th) 1/3) 1)
(.f64 1 (.f64 (cos.f64 th) 1/3))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) 1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 2) (cbrt.f64 (*.f64 (cos.f64 th) 1/3)))
(.f64 (sqrt.f64 (.f64 (cos.f64 th) 1/3)) (sqrt.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) 1/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) 1/3)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) 1/3)))
(+.f64 0 (cos.f64 th))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2)) (*.f64 (cos.f64 th) 1/3))
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 th))) 1)
(*.f64 (exp.f64 (cos.f64 th)) 1)
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2))
(*.f64 1 (exp.f64 (cos.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) (sqrt.f64 (exp.f64 (cos.f64 th))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) 1) (cbrt.f64 (exp.f64 (cos.f64 th))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (pow.f64 (exp.f64 (cos.f64 th)) 1/6)) (pow.f64 (exp.f64 (cos.f64 th)) 1/6))
(pow.f64 (exp.f64 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 3)
(pow.f64 (exp.f64 3) (*.f64 (cos.f64 th) 1/3))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 2)
(pow.f64 (exp.f64 1) (cos.f64 th))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 th))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 th))))

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1128×	`distribute-lft-in`
1092×	`distribute-rgt-in`
598×	`log-prod`
406×	`associate-+l+`
390×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	2514
1	568	2062
2	2347	1688

Stop Event

1×	node limit

Counts

120 → 144

Calls

Call 1

Inputs
(pow.f64 (exp.f64 1) 1/3)
(+.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 (exp.f64 1)) 1/3) (pow.f64 th 2))))
(+.f64 (pow.f64 (exp.f64 1) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 1)) 1/3) (pow.f64 th 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (pow.f64 th 4))))))
(+.f64 (pow.f64 (exp.f64 1) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 1)) 1/3) (pow.f64 th 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 -31/720 (exp.f64 1)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1)))) (.f64 -1/216 (exp.f64 1)))) (pow.f64 th 6)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (pow.f64 th 4)))))))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(log.f64 (pow.f64 (exp.f64 1) 1/3))
(+.f64 (*.f64 -1/6 (pow.f64 th 2)) (log.f64 (pow.f64 (exp.f64 1) 1/3)))
(+.f64 (.f64 -1/6 (pow.f64 th 2)) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (*.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4))) (log.f64 (pow.f64 (exp.f64 1) 1/3))))
(+.f64 (.f64 1/720 (.f64 (-.f64 (+.f64 (.f64 240 (/.f64 (-.f64 (.f64 -31/720 (exp.f64 1)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1)))) (.f64 -1/216 (exp.f64 1)))) (exp.f64 1))) (.f64 40 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))))) 10/9) (pow.f64 th 6))) (+.f64 (.f64 -1/6 (pow.f64 th 2)) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (*.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4))) (log.f64 (pow.f64 (exp.f64 1) 1/3)))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3)))
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3))) (.f64 -1/2 (pow.f64 th 2)))
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3))) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/8 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4)))))
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3))) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4))) (.f64 1/240 (.f64 (-.f64 (+.f64 (.f64 240 (/.f64 (-.f64 (.f64 -31/720 (exp.f64 1)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1)))) (.f64 -1/216 (exp.f64 1)))) (exp.f64 1))) (.f64 40 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))))) 10/9) (pow.f64 th 6))))))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(exp.f64 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (exp.f64 1))) (exp.f64 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 th 4) (exp.f64 1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (exp.f64 1))) (exp.f64 1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 th 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 th 6) (exp.f64 1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (exp.f64 1))) (exp.f64 1))))
(+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) 1/3)))
(-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th)))) 1)
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 1)
(*.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) (pow.f64 (exp.f64 (cos.f64 th)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 1/3))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) 2)
(pow.f64 (exp.f64 1) (*.f64 (cos.f64 th) 1/3))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 th) 1/3))) (sqrt.f64 (.f64 (cos.f64 th) 1/3)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 2)) (cbrt.f64 (.f64 (cos.f64 th) 1/3)))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(exp.f64 (*.f64 (cos.f64 th) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 0 (*.f64 (cos.f64 th) 1/3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6)) (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 th) 1/3)) 1)
(*.f64 (cos.f64 th) 1/3)
(.f64 (.f64 (cos.f64 th) 1/3) 1)
(.f64 1 (.f64 (cos.f64 th) 1/3))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) 1/3)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 2) (cbrt.f64 (*.f64 (cos.f64 th) 1/3)))
(.f64 (sqrt.f64 (.f64 (cos.f64 th) 1/3)) (sqrt.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) 1/3) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) 1/3)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) 1/3)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) 1/3)))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) 1/3)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) 1/3)))
(+.f64 0 (cos.f64 th))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2)) (*.f64 (cos.f64 th) 1/3))
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(pow.f64 (cos.f64 th) 1)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(log.f64 (exp.f64 (cos.f64 th)))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(cos.f64 th)
(expm1.f64 (log1p.f64 (cos.f64 th)))
(exp.f64 (log.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 th))) 1)
(*.f64 (exp.f64 (cos.f64 th)) 1)
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2))
(*.f64 1 (exp.f64 (cos.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (cbrt.f64 (exp.f64 (cos.f64 th))))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) (sqrt.f64 (exp.f64 (cos.f64 th))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) 1) (cbrt.f64 (exp.f64 (cos.f64 th))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (pow.f64 (exp.f64 (cos.f64 th)) 1/6)) (pow.f64 (exp.f64 (cos.f64 th)) 1/6))
(pow.f64 (exp.f64 (cos.f64 th)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 3)
(pow.f64 (exp.f64 3) (*.f64 (cos.f64 th) 1/3))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 3) 1/3)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 2)
(pow.f64 (exp.f64 1) (cos.f64 th))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 th))))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 th))))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 th))))

Outputs
(pow.f64 (exp.f64 1) 1/3)
(cbrt.f64 (E.f64))
(+.f64 (pow.f64 (exp.f64 1) 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 (exp.f64 1)) 1/3) (pow.f64 th 2))))
(+.f64 (cbrt.f64 (E.f64)) (.f64 -1/6 (.f64 (cbrt.f64 (E.f64)) (*.f64 th th))))
(fma.f64 -1/6 (.f64 (cbrt.f64 (E.f64)) (.f64 th th)) (cbrt.f64 (E.f64)))
(.f64 (+.f64 (.f64 -1/6 (*.f64 th th)) 1) (cbrt.f64 (E.f64)))
(+.f64 (pow.f64 (exp.f64 1) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 1)) 1/3) (pow.f64 th 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (pow.f64 th 4))))))
(+.f64 (cbrt.f64 (E.f64)) (fma.f64 -1/6 (.f64 (cbrt.f64 (E.f64)) (.f64 th th)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (.f64 (.f64 (E.f64) 1/12) (pow.f64 th 4))))))
(+.f64 (fma.f64 -1/6 (.f64 (cbrt.f64 (E.f64)) (.f64 th th)) (cbrt.f64 (E.f64))) (.f64 (cbrt.f64 (/.f64 1 (exp.f64 2))) (.f64 (.f64 (E.f64) (.f64 1/12 (pow.f64 th 4))) 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 th th)) 1) (cbrt.f64 (E.f64))) (.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (.f64 (*.f64 (E.f64) 1/12) (pow.f64 th 4)) 1/3)))
(+.f64 (pow.f64 (exp.f64 1) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 (exp.f64 1)) 1/3) (pow.f64 th 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 -31/720 (exp.f64 1)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1)))) (.f64 -1/216 (exp.f64 1)))) (pow.f64 th 6)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (pow.f64 th 4)))))))
(+.f64 (cbrt.f64 (E.f64)) (fma.f64 -1/6 (.f64 (cbrt.f64 (E.f64)) (.f64 th th)) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 -1/3 (.f64 (E.f64) 1/12) (.f64 (E.f64) -1/216))) (pow.f64 th 6))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (E.f64) 2))) (.f64 (*.f64 (E.f64) 1/12) (pow.f64 th 4)))))))
(+.f64 (fma.f64 -1/6 (.f64 (cbrt.f64 (E.f64)) (.f64 th th)) (cbrt.f64 (E.f64))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (exp.f64 2)))) (+.f64 (.f64 (E.f64) (.f64 1/12 (pow.f64 th 4))) (.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 (E.f64) -1/216 (*.f64 (E.f64) -1/36))) (pow.f64 th 6)))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 th th)) 1) (cbrt.f64 (E.f64))) (.f64 (.f64 1/3 (cbrt.f64 (exp.f64 -2))) (+.f64 (.f64 (.f64 (E.f64) 1/12) (pow.f64 th 4)) (.f64 (+.f64 (.f64 (E.f64) -11/720) (.f64 (E.f64) 1/216)) (pow.f64 th 6)))))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(log.f64 (pow.f64 (exp.f64 1) 1/3))
(log.f64 (cbrt.f64 (E.f64)))
1/3
(+.f64 (*.f64 -1/6 (pow.f64 th 2)) (log.f64 (pow.f64 (exp.f64 1) 1/3)))
(fma.f64 -1/6 (*.f64 th th) (log.f64 (cbrt.f64 (E.f64))))
(fma.f64 -1/6 (*.f64 th th) 1/3)
(+.f64 (.f64 -1/6 (pow.f64 th 2)) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (*.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4))) (log.f64 (pow.f64 (exp.f64 1) 1/3))))
(fma.f64 -1/6 (.f64 th th) (fma.f64 1/24 (.f64 (pow.f64 th 4) (fma.f64 8 (/.f64 (*.f64 (E.f64) 1/12) (E.f64)) -1/3)) (log.f64 (cbrt.f64 (E.f64)))))
(fma.f64 -1/6 (.f64 th th) (fma.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 -1/3 (/.f64 (*.f64 2/3 (E.f64)) (E.f64)))) 1/3))
(fma.f64 -1/6 (*.f64 th th) (fma.f64 1/72 (pow.f64 th 4) 1/3))
(+.f64 (.f64 1/720 (.f64 (-.f64 (+.f64 (.f64 240 (/.f64 (-.f64 (.f64 -31/720 (exp.f64 1)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1)))) (.f64 -1/216 (exp.f64 1)))) (exp.f64 1))) (.f64 40 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))))) 10/9) (pow.f64 th 6))) (+.f64 (.f64 -1/6 (pow.f64 th 2)) (+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (*.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4))) (log.f64 (pow.f64 (exp.f64 1) 1/3)))))
(fma.f64 1/720 (.f64 (pow.f64 th 6) (+.f64 (fma.f64 240 (/.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 -1/3 (.f64 (E.f64) 1/12) (.f64 (E.f64) -1/216))) (E.f64)) (.f64 40 (/.f64 (.f64 (E.f64) 1/12) (E.f64)))) -10/9)) (fma.f64 -1/6 (.f64 th th) (fma.f64 1/24 (.f64 (pow.f64 th 4) (fma.f64 8 (/.f64 (*.f64 (E.f64) 1/12) (E.f64)) -1/3)) (log.f64 (cbrt.f64 (E.f64))))))
(fma.f64 1/720 (.f64 (pow.f64 th 6) (fma.f64 240 (/.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 (E.f64) -1/216 (.f64 (E.f64) -1/36))) (E.f64)) (fma.f64 (.f64 1/12 (/.f64 (E.f64) (E.f64))) 40 -10/9))) (fma.f64 -1/6 (.f64 th th) (fma.f64 1/24 (.f64 (pow.f64 th 4) (+.f64 -1/3 (/.f64 (*.f64 2/3 (E.f64)) (E.f64)))) 1/3)))
(fma.f64 1/720 (.f64 (pow.f64 th 6) (fma.f64 240 (+.f64 (/.f64 (.f64 (E.f64) -11/720) (E.f64)) 1/216) 20/9)) (fma.f64 -1/6 (*.f64 th th) (fma.f64 1/72 (pow.f64 th 4) 1/3)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3))
(*.f64 1/3 (cos.f64 th))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3)))
(*.f64 (log.f64 (cbrt.f64 (E.f64))) 3)
1
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3))) (.f64 -1/2 (pow.f64 th 2)))
(fma.f64 3 (log.f64 (cbrt.f64 (E.f64))) (.f64 (.f64 th th) -1/2))
(fma.f64 (*.f64 th th) -1/2 1)
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3))) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (.f64 1/8 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4)))))
(fma.f64 3 (log.f64 (cbrt.f64 (E.f64))) (fma.f64 -1/2 (.f64 th th) (.f64 (.f64 1/8 (fma.f64 8 (/.f64 (.f64 (E.f64) 1/12) (E.f64)) -1/3)) (pow.f64 th 4))))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (+.f64 -1/3 (/.f64 (.f64 2/3 (E.f64)) (E.f64))) (.f64 (pow.f64 th 4) 1/8)))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (pow.f64 th 4) 1/24))
(+.f64 (.f64 3 (log.f64 (pow.f64 (exp.f64 1) 1/3))) (+.f64 (.f64 -1/2 (pow.f64 th 2)) (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))) (.f64 -1/3 (pow.f64 1 1/3))) (pow.f64 th 4))) (.f64 1/240 (.f64 (-.f64 (+.f64 (.f64 240 (/.f64 (-.f64 (.f64 -31/720 (exp.f64 1)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1)))) (.f64 -1/216 (exp.f64 1)))) (exp.f64 1))) (.f64 40 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/12 (exp.f64 1))) (exp.f64 1))))) 10/9) (pow.f64 th 6))))))
(fma.f64 3 (log.f64 (cbrt.f64 (E.f64))) (fma.f64 -1/2 (.f64 th th) (fma.f64 1/8 (.f64 (pow.f64 th 4) (fma.f64 8 (/.f64 (.f64 (E.f64) 1/12) (E.f64)) -1/3)) (.f64 (.f64 (pow.f64 th 6) (+.f64 (fma.f64 240 (/.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 -1/3 (.f64 (E.f64) 1/12) (.f64 (E.f64) -1/216))) (E.f64)) (.f64 40 (/.f64 (.f64 (E.f64) 1/12) (E.f64)))) -10/9)) 1/240))))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (fma.f64 (.f64 (fma.f64 240 (/.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 (E.f64) -1/216 (.f64 (E.f64) -1/36))) (E.f64)) (fma.f64 (.f64 1/12 (/.f64 (E.f64) (E.f64))) 40 -10/9)) 1/240) (pow.f64 th 6) (.f64 (+.f64 -1/3 (/.f64 (.f64 2/3 (E.f64)) (E.f64))) (.f64 (pow.f64 th 4) 1/8))))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (fma.f64 (.f64 (fma.f64 240 (+.f64 (/.f64 (.f64 (E.f64) -11/720) (E.f64)) 1/216) 20/9) 1/240) (pow.f64 th 6) (.f64 (pow.f64 th 4) 1/24)))
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(*.f64 3 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/3)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(exp.f64 1)
(E.f64)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (exp.f64 1))) (exp.f64 1))
(fma.f64 -1/2 (.f64 (E.f64) (.f64 th th)) (E.f64))
(.f64 (E.f64) (fma.f64 (.f64 th th) -1/2 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 th 4) (exp.f64 1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (exp.f64 1))) (exp.f64 1)))
(fma.f64 1/6 (.f64 (E.f64) (pow.f64 th 4)) (fma.f64 -1/2 (.f64 (E.f64) (*.f64 th th)) (E.f64)))
(fma.f64 1/6 (.f64 (E.f64) (pow.f64 th 4)) (.f64 (E.f64) (fma.f64 (*.f64 th th) -1/2 1)))
(.f64 (E.f64) (+.f64 (fma.f64 (.f64 th th) -1/2 1) (*.f64 1/6 (pow.f64 th 4))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 th 4) (exp.f64 1))) (+.f64 (.f64 -31/720 (.f64 (pow.f64 th 6) (exp.f64 1))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) (exp.f64 1))) (exp.f64 1))))
(fma.f64 1/6 (.f64 (E.f64) (pow.f64 th 4)) (fma.f64 -31/720 (.f64 (E.f64) (pow.f64 th 6)) (fma.f64 -1/2 (.f64 (E.f64) (.f64 th th)) (E.f64))))
(+.f64 (.f64 (E.f64) (fma.f64 (.f64 th th) -1/2 1)) (.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 th 4)) (*.f64 -31/720 (pow.f64 th 6)))))
(.f64 (E.f64) (+.f64 (fma.f64 (.f64 th th) -1/2 1) (+.f64 (.f64 1/6 (pow.f64 th 4)) (.f64 -31/720 (pow.f64 th 6)))))
(+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) 1/3)))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th)))) 1)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 1)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th))))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) (pow.f64 (exp.f64 (cos.f64 th)) 1/6))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (cos.f64 th))))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) (cbrt.f64 (exp.f64 (.f64 2/3 (cos.f64 th)))))
(*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) (cbrt.f64 (pow.f64 (exp.f64 2/3) (cos.f64 th))))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(pow.f64 (exp.f64 (cos.f64 th)) 1/3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 1)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 3)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) 2)
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 1) (*.f64 (cos.f64 th) 1/3))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (cos.f64 th) 1/3))) (sqrt.f64 (.f64 (cos.f64 th) 1/3)))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 2)) (cbrt.f64 (.f64 (cos.f64 th) 1/3)))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(exp.f64 (*.f64 (cos.f64 th) 1/3))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(cbrt.f64 (exp.f64 (cos.f64 th)))
(+.f64 0 (*.f64 (cos.f64 th) 1/3))
(*.f64 1/3 (cos.f64 th))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th))))))
(*.f64 1/3 (cos.f64 th))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6)) (log.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6)))
(*.f64 1/3 (cos.f64 th))
(-.f64 (+.f64 1 (*.f64 (cos.f64 th) 1/3)) 1)
(*.f64 1/3 (cos.f64 th))
(*.f64 (cos.f64 th) 1/3)
(*.f64 1/3 (cos.f64 th))
(.f64 (.f64 (cos.f64 th) 1/3) 1)
(*.f64 1/3 (cos.f64 th))
(.f64 1 (.f64 (cos.f64 th) 1/3))
(*.f64 1/3 (cos.f64 th))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) 1/3)) 2))
(*.f64 1/3 (cos.f64 th))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 2) (cbrt.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(.f64 (sqrt.f64 (.f64 (cos.f64 th) 1/3)) (sqrt.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(*.f64 1/3 (cos.f64 th))
(pow.f64 (*.f64 (cos.f64 th) 1/3) 1)
(*.f64 1/3 (cos.f64 th))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) 1/3)) 3)
(*.f64 1/3 (cos.f64 th))
(pow.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 3) 1/3)
(*.f64 1/3 (cos.f64 th))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 th) 1/3)) 2)
(*.f64 1/3 (cos.f64 th))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 2))
(*.f64 1/3 (cos.f64 th))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) 1/3) 3))
(*.f64 1/3 (cos.f64 th))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(exp.f64 (log.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) 1/3)))
(*.f64 1/3 (cos.f64 th))
(+.f64 0 (cos.f64 th))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2)) (*.f64 (cos.f64 th) 1/3))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (cos.f64 th) 1)
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(sqrt.f64 (pow.f64 (cos.f64 th) 2))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(log.f64 (exp.f64 (cos.f64 th)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(cos.f64 th)
(.f64 3 (.f64 1/3 (cos.f64 th)))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(exp.f64 (log.f64 (cos.f64 th)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(log1p.f64 (expm1.f64 (cos.f64 th)))
(.f64 3 (.f64 1/3 (cos.f64 th)))
(cos.f64 th)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(-.f64 (+.f64 1 (exp.f64 (cos.f64 th))) 1)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(*.f64 (exp.f64 (cos.f64 th)) 1)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(*.f64 1 (exp.f64 (cos.f64 th)))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (cbrt.f64 (exp.f64 (cos.f64 th))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(*.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) (sqrt.f64 (exp.f64 (cos.f64 th))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) 1) (cbrt.f64 (exp.f64 (cos.f64 th))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 2) (pow.f64 (exp.f64 (cos.f64 th)) 1/6)) (pow.f64 (exp.f64 (cos.f64 th)) 1/6))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (exp.f64 (cos.f64 th)) 1)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) 3)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (exp.f64 3) (*.f64 (cos.f64 th) 1/3))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 3) 1/3)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 th))) 2)
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (exp.f64 1) (cos.f64 th))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(pow.f64 (exp.f64 (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) 2))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(log.f64 (exp.f64 (exp.f64 (cos.f64 th))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) 3))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(expm1.f64 (log1p.f64 (exp.f64 (cos.f64 th))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))
(log1p.f64 (expm1.f64 (exp.f64 (cos.f64 th))))
(+.f64 1 (expm1.f64 (cos.f64 th)))
(exp.f64 (cos.f64 th))

eval270.0ms (1.8%)

Compiler: Compiled 6380 to 4336 computations (32% saved)

prune278.0ms (1.8%)

Pruning

91 alts after pruning (83 fresh and 8 done)

	Pruned	Kept	Total
New	416	37	453
Fresh	17	46	63
Picked	0	1	1
Done	2	7	9
Total	435	91	526

Accurracy

63.3%

Counts

526 → 91

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.6%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (.f64 (pow.f64 2 -1/2) (.f64 -1/2 (.f64 a1 a1))) (*.f64 th th)))
	15.1%	(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 1/8 (pow.f64 a1 4))) (*.f64 th th)))
	21.2%	(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
	4.4%	(pow.f64 (/.f64 1 (cos.f64 th)) -1)
	21.0%	(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
	4.4%	(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
	36.7%	(/.f64 (pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (sqrt.f64 2))
	21.2%	(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
✓	61.3%	(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	19.6%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	19.0%	(/.f64 (.f64 (.f64 a2 a2) (+.f64 1 (fma.f64 -1/2 (.f64 th th) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))
✓	37.0%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
	33.5%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
✓	33.5%	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	21.2%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	33.0%	(/.f64 (*.f64 a1 a1) (log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
	24.7%	(/.f64 (exp.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (sqrt.f64 2))
	33.3%	(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2))
✓	33.4%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	29.9%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 -1 a1))) (log.f64 (sqrt.f64 2))) -1)))
	1.3%	(/.f64 (cos.f64 th) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 a1)))) -1)))
	1.3%	(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a1)) 2)))
	17.2%	(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6)))
	37.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
	21.7%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	21.2%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	21.1%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	15.7%	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	4.4%	(-.f64 (+.f64 1 (cos.f64 th)) 1)
	2.2%	(+.f64 (fma.f64 (.f64 th th) -1/2 1) (fma.f64 (.f64 (fma.f64 240 (/.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 (E.f64) -1/216 (.f64 (E.f64) -1/36))) (E.f64)) (fma.f64 (.f64 1/12 (/.f64 (E.f64) (E.f64))) 40 -10/9)) 1/240) (pow.f64 th 6) (.f64 (+.f64 -1/3 (/.f64 (.f64 2/3 (E.f64)) (E.f64))) (.f64 (pow.f64 th 4) 1/8))))
	2.4%	(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (pow.f64 th 4) 1/24))
	18.6%	(+.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
	2.2%	(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
	2.7%	(+.f64 1 (.f64 (.f64 th th) -1/2))
	7.8%	(*.f64 (pow.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) -1) a1)
	16.7%	(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)) -1) a1)
	21.0%	(*.f64 (pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3) a1)
	33.5%	(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
	21.0%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1))) a1)
	21.2%	(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 a1)) a1)
	37.0%	(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
	21.7%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	33.4%	(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
✓	21.2%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	21.2%	(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
	34.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	19.6%	(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	36.4%	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	21.2%	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
	21.0%	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4))) a1)
	36.8%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
	21.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
	21.2%	(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1)
	21.1%	(.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (cbrt.f64 a1))) a1)
	19.6%	(.f64 (.f64 a2 a2) (+.f64 (sqrt.f64 1/2) (.f64 (.f64 th th) (*.f64 (sqrt.f64 1/2) -1/2))))
	36.4%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
	9.2%	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
	37.1%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	37.1%	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	21.7%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	3.4%	(*.f64 (log.f64 (cbrt.f64 (E.f64))) 3)
	13.2%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
	33.5%	(.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
	36.6%	(.f64 a2 (pow.f64 (cbrt.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 3))
	18.7%	(.f64 a2 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a2 (pow.f64 th 2)))) (+.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a2 (pow.f64 th 4)))))))
	18.7%	(.f64 a2 (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) a2)) (pow.f64 2 -1/2)))
	37.1%	(.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
	21.7%	(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
	33.5%	(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
	2.4%	(.f64 3 (fma.f64 -1/6 (.f64 th th) (fma.f64 1/72 (pow.f64 th 4) 1/3)))
	4.4%	(.f64 3 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 3))
	4.4%	(.f64 3 (-.f64 (+.f64 1 (.f64 (cos.f64 th) 1/3)) 1))
	4.4%	(*.f64 3 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))))
	4.4%	(.f64 3 (.f64 (cos.f64 th) 1/3))
	4.4%	(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) 2)))
	4.4%	(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 3)))
	4.4%	(*.f64 3 (log.f64 (-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th)))) 1)))
	4.4%	(.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))))
	4.4%	(*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))))
	4.4%	(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 th))) 1))))
	4.4%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))))
✓	4.4%	(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
	4.4%	(log1p.f64 (expm1.f64 (cos.f64 th)))
	29.1%	(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
	20.6%	(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
	24.5%	(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 1) (.f64 -1/2 (log.f64 2))))
✓	4.4%	(cos.f64 th)
✓	4.4%	(cbrt.f64 (pow.f64 (cos.f64 th) 3))
	2.8%	(cbrt.f64 (+.f64 1 (.f64 -3/2 (.f64 th th))))
	4.4%	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (cos.f64 th)))
	3.4%	1

Compiler

Compiled 1288 to 1040 computations (19.3% saved)

regimes816.0ms (5.4%)

Counts

146 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(/.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 (.f64 (pow.f64 2 -1/2) a1) a1)
(cbrt.f64 (+.f64 1 (.f64 -3/2 (.f64 th th))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(.f64 3 (-.f64 (+.f64 1 (.f64 (cos.f64 th) 1/3)) 1))
(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 a1)) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 1 (cos.f64 th)) -1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.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 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
(.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (pow.f64 2 -1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (pow.f64 th 4) 1/24))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 a2 a2) (+.f64 (sqrt.f64 1/2) (.f64 (.f64 th th) (*.f64 (sqrt.f64 1/2) -1/2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(log.f64 (exp.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(*.f64 (log.f64 (cbrt.f64 (E.f64))) 3)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 th))) 1/3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
(.f64 3 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3) a1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a1 -2)))
(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 3 (fma.f64 -1/6 (.f64 th th) (fma.f64 1/72 (pow.f64 th 4) 1/3)))
(.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (cbrt.f64 a1))) a1)
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 1/6)) (cbrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a1 a1))))
(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
(.f64 (cos.f64 th) (+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))))
(fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (*.f64 th th)) (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (+.f64 (.f64 -1/720 (pow.f64 th 6)) (*.f64 -1/2 (pow.f64 th 2)))))
(/.f64 (.f64 (.f64 a2 a2) (+.f64 1 (fma.f64 -1/2 (.f64 th th) (.f64 1/24 (pow.f64 th 4))))) (sqrt.f64 2))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (.f64 (pow.f64 2 -1/2) (.f64 -1/2 (.f64 a1 a1))) (*.f64 th th)))
(.f64 a2 (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 th 2) a2)) (+.f64 (.f64 1/24 (.f64 (pow.f64 th 4) a2)) a2)) (pow.f64 2 -1/2)))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (cos.f64 th)))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))))
(*.f64 (pow.f64 (log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a1))) -1) a1)
(exp.f64 (log.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(log.f64 (exp.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))
(*.f64 3 (log.f64 (cbrt.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 th))) 1))))
(*.f64 3 (log.f64 (-.f64 (+.f64 1 (cbrt.f64 (exp.f64 (cos.f64 th)))) 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) 3)) -1) a1)
(/.f64 (cos.f64 th) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6)))
(/.f64 (exp.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th))))) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(.f64 a2 (pow.f64 (cbrt.f64 (.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 1/2))) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (/.f64 (sqrt.f64 2) (cbrt.f64 a1))) a1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) (.f64 a2 a2))
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 2 1/4) a1)) 2)))
(/.f64 (cos.f64 th) (pow.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6) 1/3))
(/.f64 (pow.f64 (cbrt.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 3) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))) 1)
(/.f64 (cos.f64 th) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2))) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (.f64 a2 (.f64 a2 (cos.f64 th)))) 1) (.f64 -1/2 (log.f64 2))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 1/8 (pow.f64 a1 4))) (*.f64 th th)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(*.f64 3 (log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) 1/6) 2)))
(pow.f64 (pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 6) 1/3)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 3))
(.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 6)) 1/3)))
(/.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a2 (*.f64 a2 (cos.f64 th))))) 3)) (sqrt.f64 2))
(/.f64 (cos.f64 th) (exp.f64 (.f64 (-.f64 (.f64 -2 (log.f64 (/.f64 -1 a1))) (log.f64 (sqrt.f64 2))) -1)))
(/.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cos.f64 th)) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 (.f64 (pow.f64 th 4) (.f64 1/8 (pow.f64 a1 4)))))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4))) a1)
(/.f64 (cos.f64 th) (.f64 (pow.f64 (cbrt.f64 (.f64 a1 a1)) -2) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a1 a1)))))
(/.f64 (cos.f64 th) (exp.f64 (.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 2))) (.f64 -2 (log.f64 (/.f64 1 a1)))) -1)))
(.f64 a2 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 a2 (pow.f64 th 2)))) (+.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 a2 (pow.f64 th 4)))))))
(*.f64 3 (log.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))))
(*.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 3)))
(.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (.f64 a2 a2) (sqrt.f64 2))))) 3)
(fma.f64 -1/2 (.f64 a2 (/.f64 (.f64 a2 (.f64 th th)) (sqrt.f64 2))) (fma.f64 1/24 (/.f64 (.f64 a2 (*.f64 a2 (pow.f64 th 4))) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 -1/2 (.f64 (.f64 th th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (fma.f64 1/24 (.f64 (pow.f64 th 4) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 (.f64 -1/2 th) th))))
(.f64 (cbrt.f64 (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (.f64 2 (pow.f64 a1 -4)))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 th))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 th))) (sin.f64 1)))
(.f64 3 (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 th)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 th))) (cbrt.f64 (exp.f64 (cos.f64 th))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))
(*.f64 3 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 th)))))))
(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (*.f64 a2 a2))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (fma.f64 (.f64 (fma.f64 240 (/.f64 (-.f64 (.f64 (E.f64) -31/720) (fma.f64 (E.f64) -1/216 (.f64 (E.f64) -1/36))) (E.f64)) (fma.f64 (.f64 1/12 (/.f64 (E.f64) (E.f64))) 40 -10/9)) 1/240) (pow.f64 th 6) (.f64 (+.f64 -1/3 (/.f64 (.f64 2/3 (E.f64)) (E.f64))) (.f64 (pow.f64 th 4) 1/8))))

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

Calls

8 calls:

161.0ms	th
109.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
104.0ms	(*.f64 a1 a1)
96.0ms	a2
93.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
61.4%	1	`a1`
61.4%	1	`a2`
61.4%	1	`th`
61.4%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
61.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
61.4%	1	`(cos.f64 th)`
61.4%	1	`(*.f64 a1 a1)`
61.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 1792 to 1116 computations (37.7% saved)

regimes276.0ms (1.8%)

Counts

84 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(/.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 (.f64 (pow.f64 2 -1/2) a1) a1)
(cbrt.f64 (+.f64 1 (.f64 -3/2 (.f64 th th))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(.f64 3 (-.f64 (+.f64 1 (.f64 (cos.f64 th) 1/3)) 1))
(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 a1)) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 1 (cos.f64 th)) -1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.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 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
(.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (pow.f64 2 -1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (pow.f64 th 4) 1/24))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 a2 a2) (+.f64 (sqrt.f64 1/2) (.f64 (.f64 th th) (*.f64 (sqrt.f64 1/2) -1/2))))
(+.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (.f64 th th)))))
(+.f64 (/.f64 (.f64 (.f64 th th) -1/2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(expm1.f64 (log1p.f64 (cos.f64 th)))
(log.f64 (exp.f64 (cos.f64 th)))
(log1p.f64 (expm1.f64 (cos.f64 th)))
(cbrt.f64 (pow.f64 (cos.f64 th) 3))
(*.f64 (log.f64 (cbrt.f64 (E.f64))) 3)
(pow.f64 (cbrt.f64 (cos.f64 th)) 3)
(pow.f64 (sqrt.f64 (cos.f64 th)) 2)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)
(pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 th))) 1/3))
(expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) a1)
(.f64 3 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) 1/3)) 3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3) a1)
(pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)
(*.f64 (pow.f64 2 -1/2) (/.f64 (cos.f64 th) (pow.f64 a1 -2)))
(/.f64 (cos.f64 th) (pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 3 (fma.f64 -1/6 (.f64 th th) (fma.f64 1/72 (pow.f64 th 4) 1/3)))
(.f64 (.f64 (cbrt.f64 (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (cbrt.f64 a1))) a1)
(/.f64 (/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (pow.f64 2 1/6)) (cbrt.f64 2))
(.f64 (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (*.f64 a2 a2))
(/.f64 (cos.f64 th) (.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (.f64 a1 a1))))

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

Calls

7 calls:

45.0ms	(cos.f64 th)
40.0ms	a2
40.0ms	a1
38.0ms	th
34.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
61.3%	1	`a1`
61.3%	1	`a2`
61.3%	1	`th`
61.3%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
61.3%	1	`(cos.f64 th)`
61.3%	1	`(*.f64 a1 a1)`
61.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 801 to 489 computations (39% saved)

regimes180.0ms (1.2%)

Counts

55 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(/.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 (.f64 (pow.f64 2 -1/2) a1) a1)
(cbrt.f64 (+.f64 1 (.f64 -3/2 (.f64 th th))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(.f64 3 (-.f64 (+.f64 1 (.f64 (cos.f64 th) 1/3)) 1))
(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 a1)) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 1 (cos.f64 th)) -1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.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 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
(.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (pow.f64 2 -1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (pow.f64 th 4) 1/24))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

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

Calls

7 calls:

28.0ms	a1
26.0ms	a2
25.0ms	th
25.0ms	(cos.f64 th)
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
61.2%	1	`a1`
61.2%	1	`a2`
61.2%	1	`th`
61.2%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
61.2%	1	`(cos.f64 th)`
61.2%	1	`(*.f64 a1 a1)`
61.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 509 to 310 computations (39.1% saved)

regimes629.0ms (4.2%)

Counts

54 → 2

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(-.f64 (+.f64 1 (cos.f64 th)) 1)
(/.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 (.f64 (pow.f64 2 -1/2) a1) a1)
(cbrt.f64 (+.f64 1 (.f64 -3/2 (.f64 th th))))
(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
(.f64 (.f64 (/.f64 1 (sqrt.f64 2)) a1) a1)
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 2) a1)) a1)
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(.f64 3 (-.f64 (+.f64 1 (.f64 (cos.f64 th) 1/3)) 1))
(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
(*.f64 (/.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 1 a1)) a1)
(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 th th)) 1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(pow.f64 (/.f64 1 (cos.f64 th)) -1)
(pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
(.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))
(.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) a1)
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.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 a2 a2) (cos.f64 th)) (sqrt.f64 2))
(.f64 a2 (.f64 (*.f64 a2 (cos.f64 th)) (pow.f64 2 -1/2)))
(.f64 (cos.f64 th) (.f64 a1 (*.f64 a1 (pow.f64 2 -1/2))))
(.f64 (pow.f64 2 -1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (pow.f64 2 -1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
(/.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))
(+.f64 (fma.f64 (.f64 th th) -1/2 1) (.f64 (pow.f64 th 4) 1/24))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4))) a1)

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

Calls

7 calls:

152.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
98.0ms	th
94.0ms	a1
90.0ms	(cos.f64 th)
87.0ms	a2

Results

Accuracy	Segments	Branch
54.4%	2	`a1`
56.7%	2	`a2`
51.0%	3	`th`
53.1%	5	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
53.1%	5	`(cos.f64 th)`
53.2%	4	`(*.f64 a1 a1)`
54.2%	2	`(*.f64 a2 a2)`

Compiler

Compiled 496 to 306 computations (38.3% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

13.0ms	33×	body	1024	valid
10.0ms	62×	body	256	valid
7.0ms	14×	body	512	valid
2.0ms	5×	body	1024	infinite
1.0ms	9×	body	256	infinite
1.0ms	5×	body	512	infinite

Compiler

Compiled 244 to 188 computations (23% saved)

regimes596.0ms (4%)

Counts

48 → 2

Calls

Call 1

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

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

Calls

7 calls:

150.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
97.0ms	a1
82.0ms	(*.f64 a1 a1)
80.0ms	(cos.f64 th)
76.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
54.4%	2	`a1`
56.7%	2	`a2`
50.9%	3	`th`
53.1%	5	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
53.1%	5	`(cos.f64 th)`
53.2%	4	`(*.f64 a1 a1)`
54.2%	2	`(*.f64 a2 a2)`

Compiler

Compiled 430 to 263 computations (38.8% saved)

bsearch33.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

11.0ms	29×	body	1024	valid
10.0ms	62×	body	256	valid
3.0ms	11×	body	512	valid
3.0ms	15×	body	256	infinite
2.0ms	6×	body	1024	infinite
1.0ms	5×	body	512	infinite

Compiler

Compiled 236 to 180 computations (23.7% saved)

regimes403.0ms (2.7%)

Counts

43 → 2

Calls

Call 1

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

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

Calls

7 calls:

78.0ms	(cos.f64 th)
76.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
56.0ms	th
48.0ms	(*.f64 a1 a1)
42.0ms	a1

Results

Accuracy	Segments	Branch
54.4%	2	`a1`
56.7%	2	`a2`
50.9%	3	`th`
53.1%	5	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
53.1%	5	`(cos.f64 th)`
53.2%	4	`(*.f64 a1 a1)`
54.2%	2	`(*.f64 a2 a2)`

Compiler

Compiled 384 to 242 computations (37% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

17.0ms	36×	body	1024	valid
8.0ms	52×	body	256	valid
4.0ms	13×	body	512	valid
3.0ms	8×	body	1024	infinite
3.0ms	18×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 236 to 180 computations (23.7% saved)

regimes330.0ms (2.2%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

7 calls:

66.0ms	(cos.f64 th)
63.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
52.0ms	th
40.0ms	(*.f64 a1 a1)
33.0ms	a2

Results

Accuracy	Segments	Branch
54.4%	2	`a1`
56.6%	2	`a2`
50.9%	3	`th`
53.1%	5	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
53.1%	5	`(cos.f64 th)`
53.2%	4	`(*.f64 a1 a1)`
54.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 348 to 226 computations (35.1% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

11.0ms	67×	body	256	valid
9.0ms	23×	body	1024	valid
6.0ms	19×	body	512	valid
2.0ms	13×	body	256	infinite
2.0ms	4×	body	1024	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 236 to 180 computations (23.7% saved)

regimes387.0ms (2.6%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

6 calls:

85.0ms	th
84.0ms	(*.f64 a2 a2)
83.0ms	(cos.f64 th)
61.0ms	a1
37.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
54.4%	2	`a1`
56.6%	2	`a2`
50.9%	3	`th`
53.1%	5	`(cos.f64 th)`
53.2%	4	`(*.f64 a1 a1)`
54.1%	2	`(*.f64 a2 a2)`

Compiler

Compiled 295 to 196 computations (33.6% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

17.0ms	32×	body	1024	valid
8.0ms	51×	body	256	valid
5.0ms	12×	body	1024	infinite
4.0ms	16×	body	512	valid
2.0ms	16×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 236 to 180 computations (23.7% saved)

regimes256.0ms (1.7%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

6 calls:

79.0ms	th
59.0ms	(*.f64 a1 a1)
41.0ms	a2
28.0ms	a1
23.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
43.0%	2	`a1`
43.8%	2	`a2`
45.9%	3	`th`
45.7%	2	`(cos.f64 th)`
41.7%	2	`(*.f64 a1 a1)`
42.7%	2	`(*.f64 a2 a2)`

Compiler

Compiled 277 to 186 computations (32.9% saved)

bsearch102.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.0465111711172642e+33	1.0364257945001108e+37
76.0ms	-81838297056264.77	-0.17926061336179994

Results

67.0ms	117×	body	256	infinite
30.0ms	171×	body	256	valid

Compiler

Compiled 514 to 380 computations (26.1% saved)

regimes120.0ms (0.8%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	(*.f64 a2 a2)
23.0ms	(cos.f64 th)
16.0ms	a1
15.0ms	th
14.0ms	a2

Results

Accuracy	Segments	Branch
34.1%	1	`a1`
34.1%	1	`a2`
34.1%	1	`th`
35.7%	2	`(cos.f64 th)`
34.1%	1	`(*.f64 a1 a1)`
34.1%	1	`(*.f64 a2 a2)`

Compiler

Compiled 268 to 181 computations (32.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.013867873660324392	0.009520712062732951

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes230.0ms (1.5%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

6 calls:

88.0ms	th
70.0ms	(*.f64 a1 a1)
22.0ms	a1
21.0ms	a2
14.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
30.8%	2	`a1`
32.2%	2	`a2`
26.1%	4	`th`
21.7%	1	`(cos.f64 th)`
28.3%	2	`(*.f64 a1 a1)`
31.7%	2	`(*.f64 a2 a2)`

Compiler

Compiled 197 to 138 computations (29.9% saved)

bsearch36.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

11.0ms	25×	body	1024	valid
10.0ms	64×	body	256	valid
4.0ms	11×	body	1024	infinite
3.0ms	4×	body	512	infinite
3.0ms	10×	body	512	valid
2.0ms	14×	body	256	infinite

Compiler

Compiled 188 to 148 computations (21.3% saved)

regimes63.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
(-.f64 (+.f64 1 (cos.f64 th)) 1)

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

Calls

5 calls:

24.0ms	th
12.0ms	a1
11.0ms	a2
9.0ms	(*.f64 a2 a2)
5.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
30.7%	2	`a1`
32.2%	2	`a2`
26.1%	4	`th`
21.7%	1	`(cos.f64 th)`
31.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 72 to 51 computations (29.2% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	4.881055009325761e-96	3.6322357775535483e-92

Results

12.0ms	55×	body	256	valid
11.0ms	26×	body	1024	valid
5.0ms	19×	body	512	valid
3.0ms	9×	body	1024	infinite
2.0ms	16×	body	256	infinite
1.0ms	3×	body	512	infinite

Compiler

Compiled 188 to 148 computations (21.3% saved)

regimes25.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))

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

Calls

5 calls:

5.0ms	a2
5.0ms	(cos.f64 th)
5.0ms	th
5.0ms	a1
3.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
21.7%	1	`a1`
21.7%	1	`a2`
21.7%	1	`th`
21.7%	1	`(cos.f64 th)`
21.7%	1	`(*.f64 a2 a2)`

Compiler

Compiled 54 to 39 computations (27.8% saved)

regimes18.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))
(cos.f64 th)
(.f64 3 (.f64 (cos.f64 th) 1/3))

Outputs
(cos.f64 th)

Calls

4 calls:

5.0ms	a2
4.0ms	a1
4.0ms	th
3.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
4.4%	1	`a1`
4.4%	1	`a2`
4.4%	1	`th`
4.4%	1	`(cos.f64 th)`

Compiler

Compiled 36 to 27 computations (25% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.2%)

Threshold costs -0.7b (-1.2%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (.f64 th th) -1/2))

Outputs
1

Calls

3 calls:

4.0ms	a1
3.0ms	th
3.0ms	a2

Results

Accuracy	Segments	Branch
3.4%	1	`a1`
3.4%	1	`a2`
3.4%	1	`th`

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative`
4×	`+-commutative`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	701
1	109	701

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 2465969711912525/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 5871356456934583/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 2465969711912525/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 6012269011901013/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2))))
(if (<=.f64 th -1/2) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (if (<=.f64 th 1050000000000000029323105381908480) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(if (<=.f64 (cos.f64 th) -5764607523034235/576460752303423488) (.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 a2 6575919231766733/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 a2 6458492102628041/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 a2 (*.f64 (sqrt.f64 1/2) a2)))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(cos.f64 th)
1

Outputs
(.f64 (cos.f64 th) (+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (*.f64 a2 (pow.f64 2 -1/2)))))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(if (<=.f64 a2 2465969711912525/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 2465969711912525/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 (cos.f64 th) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 8807034685401875/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 5871356456934583/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 5871356456934583/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952) (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 2465969711912525/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th)))))
(if (<=.f64 a2 2465969711912525/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488) (.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 6012269011901013/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2))))
(if (<=.f64 a2 6012269011901013/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808) (.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 2))) (.f64 a2 (.f64 (sqrt.f64 1/2) (*.f64 (cos.f64 th) a2))))
(if (<=.f64 th -1/2) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2))) (if (<=.f64 th 1050000000000000029323105381908480) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 a1 (/.f64 (.f64 a1 (cos.f64 th)) (sqrt.f64 2)))))
(if (or (<=.f64 th -1/2) (not (<=.f64 th 1050000000000000029323105381908480))) (.f64 a1 (/.f64 (.f64 (cos.f64 th) a1) (sqrt.f64 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) -5764607523034235/576460752303423488) (.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) -5764607523034235/576460752303423488) (.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2))) (/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 a2 6575919231766733/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 a2 6575919231766733/37576681324381331646231689548629392438010920782533117931316655544515344401833735095419183974156299248510959616) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))
(if (<=.f64 a2 6458492102628041/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 a2 (*.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 a2 6458492102628041/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
(cos.f64 th)
1

Compiler

Compiled 291 to 205 computations (29.6% saved)

soundness2.4s (15.7%)

Rules

1826×	`prod-diff`
1728×	`fma-def`
1726×	`log-prod`
1726×	`log-prod`
1584×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35
0	14	50
1	300	48
2	4088	48
0	362	8061
1	978	7727
2	3833	6473
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35
0	231	5304
1	524	5158
2	1599	4880
0	11	44
1	231	44
2	3042	44
0	15	100
1	302	82
2	3761	8
0	128	1823
1	269	1811
2	880	1789
3	5743	1789
0	231	2514
1	568	2062
2	2347	1688
0	15	100
1	302	82
2	3761	8
0	128	1823
1	269	1811
2	880	1789
3	5743	1789
0	231	5304
1	524	5158
2	1599	4880
0	11	44
1	225	44
2	2841	44
0	231	5304
1	524	5158
2	1599	4880
0	131	2149
1	283	2107
2	738	2067
3	2778	1983
4	7163	1983
0	131	2149
1	283	2107
2	738	2067
3	2778	1983
4	7163	1983
0	8	28
1	165	28
2	2007	28
0	278	3882
1	693	3732
2	2008	3730
3	5884	3730
0	269	3601
1	620	3491
2	1881	3405
3	7319	3405
0	231	5304
1	524	5158
2	1599	4880
0	437	8004
1	1115	7790
2	4279	7644
0	11	27
1	231	27
2	3044	27
0	185	2764
1	484	2720
2	1503	2720
3	6725	2720
0	362	8061
1	978	7727
2	3833	6473

Stop Event

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

Compiler

Compiled 1859 to 1136 computations (38.9% saved)

end143.0ms (0.9%)

Compiler: Compiled 582 to 326 computations (44% saved)

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	162	140
3	245	140
4	323	140
5	371	140
6	419	140
7	479	140
8	485	140
0	3	3
1	3	3