Details

analyze385.0ms (2.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
25%	25%	74.9%	0.1%	0%	0%	0%	8
25%	25%	74.9%	0.1%	0%	0%	0%	9
28.1%	25%	64%	0.1%	10.9%	0%	0%	10
36.4%	31.2%	54.6%	0.1%	14%	0%	0%	11
46.9%	39%	44.1%	0.1%	16.8%	0%	0%	12

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample3.8s (23%)

Results

963.0ms	5425×	body	256	valid
962.0ms	1870×	body	1024	valid
722.0ms	1553×	body	1024	infinite
604.0ms	956×	body	512	valid
267.0ms	1603×	body	256	infinite
238.0ms	792×	body	512	infinite
7.0ms	5×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess27.0ms (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)

simplify15.0ms (0.1%)

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

99.4%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.8%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
✓	99.4%	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))

Compiler

Compiled 41 to 16 computations (61% saved)

series13.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite76.0ms (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	75
1	281	69
2	3385	69

Stop Event

1×	node limit

Counts

3 → 108

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)))
(fma.f64 a1 a1 (*.f64 a2 a2))

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-def`
982×	`associate-/r*`
764×	`unswap-sqr`
740×	`associate-*r/`
664×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	306	6226
1	686	6120
2	2374	5812

Stop Event

1×	node limit

Counts

192 → 178

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

localize15.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.5%	(.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)

series5.0ms (0%)

Counts

3 → 64

Calls

18 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	a1	@	inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	th	@	inf	(/.f64 (cos.f64 th) (sqrt.f64 2))
0.0ms	th	@	-inf	(/.f64 (cos.f64 th) (sqrt.f64 2))
0.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite93.0ms (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	65
1	300	61
2	4088	61

Stop Event

1×	node limit

Counts

3 → 174

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

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-r`
598×	`associate-l`
544×	`div-sub`
538×	`log-prod`
462×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	463	9590
1	1214	9316
2	4858	9172

Stop Event

1×	node limit

Counts

238 → 250

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

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

eval264.0ms (1.6%)

Compiler: Compiled 8488 to 4771 computations (43.8% saved)

prune115.0ms (0.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	410	18	428
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	411	19	430

Accurracy

100.0%

Counts

430 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	57.3%	(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	55.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	57.3%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	99.2%	(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
	57.4%	(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
	99.3%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	55.9%	(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
▶	57.3%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
	55.9%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
▶	60.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.3%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	98.6%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.2%	(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
✓	99.3%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
	99.3%	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
	55.9%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	57.4%	(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
▶	99.3%	(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))

Compiler

Compiled 527 to 394 computations (25.2% saved)

localize19.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (hypot.f64 a1 a2) 2)
✓	99.8%	(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
✓	99.4%	(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))

Compiler

Compiled 42 to 25 computations (40.5% saved)

series19.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	0	(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
3.0ms	a2	@	0	(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
2.0ms	a2	@	-inf	(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
2.0ms	a1	@	0	(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
2.0ms	a2	@	0	(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1244×	`log-prod`
806×	`pow-prod-down`
634×	`pow-prod-up`
554×	`pow-exp`
486×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	287	69
2	3228	69

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

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

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

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-/r*`
770×	`fma-def`
730×	`unswap-sqr`
566×	`associate-*r/`
454×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	460	8546
1	1326	7796
2	4423	6742

Stop Event

1×	node limit

Counts

170 → 212

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8))) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8))) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 12) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a2 10))) (.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))))))))))))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (pow.f64 a1 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (pow.f64 a1 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6)))) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (pow.f64 a1 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4)))) (pow.f64 a1 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6)))) (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 8))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4)))))) (.f64 1/256 (/.f64 1 (pow.f64 a1 10)))))) (pow.f64 a2 12))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (sqrt.f64 1/2) (pow.f64 a2 8))) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))) (sqrt.f64 1/2)) (pow.f64 a2 4)))))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4)))) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) (/.f64 (.f64 (+.f64 (.f64 -1/8 (pow.f64 a1 6)) (.f64 1/8 (pow.f64 a1 6))) (sqrt.f64 1/2)) (pow.f64 a2 4)))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 8) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 8) (cos.f64 th)))) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 12) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a2 8))) (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 2)))) (pow.f64 a2 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a2 5)) 2) (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4)))))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a2 4))) (*.f64 1/256 (/.f64 1 (pow.f64 a2 10)))))) (cos.f64 th)))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th))) (pow.f64 a1 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th))) (pow.f64 a1 4)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th))) (pow.f64 a1 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th))) (pow.f64 a1 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/8 (pow.f64 a2 6)) (.f64 -1/8 (pow.f64 a2 6))) (cos.f64 th))) (pow.f64 a1 4)) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a2 4)) (.f64 1/4 (pow.f64 a2 4))) (cos.f64 th))) (pow.f64 a1 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 a1 10))) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 a1 8))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 2)))) (pow.f64 a1 2))) (+.f64 (pow.f64 (/.f64 1/16 (pow.f64 a1 5)) 2) (.f64 1/8 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2)) (pow.f64 a1 4))))))))) (.f64 (pow.f64 a2 12) (cos.f64 th)))) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 8)))) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (cos.f64 th))))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th))) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th))) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th))) (pow.f64 a2 4)))))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th))) (pow.f64 a2 2)) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a1 2) (cos.f64 th))) (+.f64 (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/4 (pow.f64 a1 4)) (.f64 1/4 (pow.f64 a1 4))) (cos.f64 th))) (pow.f64 a2 2)) (+.f64 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th))) (/.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 1/8 (pow.f64 a1 6)) (.f64 -1/8 (pow.f64 a1 6))) (cos.f64 th))) (pow.f64 a2 4)))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8)) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (pow.f64 a1 2))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a2 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a2 4) (pow.f64 a1 2))) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a2 6) (pow.f64 a1 4))))))))
(pow.f64 a1 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (pow.f64 a2 2) (+.f64 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a1 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a1 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a1 6)))) (pow.f64 a2 8)) (pow.f64 a1 2)))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(pow.f64 a2 2)
(+.f64 (pow.f64 a2 2) (pow.f64 a1 2))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a1 4) (pow.f64 a2 2))) (+.f64 (pow.f64 a2 2) (+.f64 (pow.f64 a1 2) (.f64 1/8 (/.f64 (pow.f64 a1 6) (pow.f64 a2 4))))))))
(+.f64 0 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))) 1)
(pow.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))) 3)
(pow.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)) 1/2)
(pow.f64 (*.f64 (pow.f64 2 -3/2) (pow.f64 (hypot.f64 a1 a2) 6)) 1/3)
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 2)
(sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))))
(cbrt.f64 (*.f64 (pow.f64 2 -3/2) (pow.f64 (hypot.f64 a1 a2) 6)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (sqrt.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 2 -3/2) (pow.f64 (hypot.f64 a1 a2) 6))) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))
(+.f64 0 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))))) 1)
(pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1)
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3)
(pow.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))) 1/2)
(pow.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4))) 2)
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 (*.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(exp.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)))) 2))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(+.f64 (.f64 a2 a2) (.f64 a1 a1))
(+.f64 0 (pow.f64 (hypot.f64 a1 a2) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 4))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 4) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (pow.f64 (hypot.f64 a1 a2) 3/2))
(*.f64 (pow.f64 (hypot.f64 a1 a2) 3/2) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 5) (cbrt.f64 (hypot.f64 a1 a2)))
(/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) 4))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (.f64 (exp.f64 (.f64 a1 a1)) (exp.f64 (*.f64 a2 a2))))
(log.f64 (.f64 (exp.f64 (.f64 a2 a2)) (exp.f64 (*.f64 a1 a1))))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 6))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 a1 a2)) 1) 2))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 a1 a2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) a1) (.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) a2) (.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (pow.f64 a1 3/2) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a2) (pow.f64 a2 3/2) (*.f64 a1 a1))
(fma.f64 (.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2) (.f64 a1 a1))
(fma.f64 (.f64 (cbrt.f64 a1) a1) (pow.f64 (cbrt.f64 a1) 2) (.f64 a2 a2))
(fma.f64 (pow.f64 a2 3/2) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (pow.f64 a1 3/2) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 5) (cbrt.f64 a1) (*.f64 a2 a2))

Outputs
(*.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 (sqrt.f64 1/2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 a2 6))))) (.f64 5/64 (/.f64 1 (pow.f64 a2 6)))) (pow.f64 a1 8))) (+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2))))
(fma.f64 (sqrt.f64 1/2) (.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6))) (/.f64 5/64 (pow.f64 a2 6))) (pow.f64 a1 8)) (.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (*.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (fma.f64 (-.f64 (/.f64 5/64 (pow.f64 a2 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2) (/.f64 1/16 (pow.f64 a2 6)))) (pow.f64 a1 8) (fma.f64 a2 a2 (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (fma.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a2 3)) 2)) (.f64 (/.f64 1 (pow.f64 a2 6)) 1/64)) (pow.f64 a1 8) (fma.f64 a2 a2 (*.f64 a1 a1))))
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(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a2 a1) 2)))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (fma.f64 a1 a1 (*.f64 a2 (neg.f64 a2))))
(sqrt.f64 (pow.f64 (hypot.f64 a1 a2) 4))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(pow.f64 (hypot.f64 a1 a2) 2)
(log.f64 (.f64 (exp.f64 (.f64 a1 a1)) (exp.f64 (*.f64 a2 a2))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(log.f64 (.f64 (exp.f64 (.f64 a2 a2)) (exp.f64 (*.f64 a1 a1))))
(fma.f64 a2 a2 (*.f64 a1 a1))
(cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 6))
(pow.f64 (hypot.f64 a1 a2) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (.f64 (.f64 (log.f64 (hypot.f64 a1 a2)) 1) 2))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1) 1))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (hypot.f64 a1 a2)))) 3))
(pow.f64 (hypot.f64 a1 a2) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 a1 a2) 6)) 1/3))
(pow.f64 (hypot.f64 a1 a2) 2)
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) a1) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) a2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a1) (pow.f64 a1 3/2) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a2) (pow.f64 a2 3/2) (*.f64 a1 a1))
(fma.f64 (.f64 (cbrt.f64 a2) a2) (pow.f64 (cbrt.f64 a2) 2) (.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (.f64 (cbrt.f64 a1) a1) (pow.f64 (cbrt.f64 a1) 2) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (pow.f64 a2 3/2) (sqrt.f64 a2) (*.f64 a1 a1))
(fma.f64 (sqrt.f64 a2) (pow.f64 a2 3/2) (*.f64 a1 a1))
(fma.f64 (pow.f64 a1 3/2) (sqrt.f64 a1) (*.f64 a2 a2))
(fma.f64 (sqrt.f64 a1) (pow.f64 a1 3/2) (*.f64 a2 a2))
(fma.f64 (pow.f64 (cbrt.f64 a2) 5) (cbrt.f64 a2) (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 (pow.f64 (cbrt.f64 a1) 5) (cbrt.f64 a1) (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))

localize13.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	98.4%	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 38 to 19 computations (50% saved)

series32.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	a1	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a2	@	inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a2	@	0	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
0.0ms	a1	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`prod-diff`
1148×	`log-prod`
602×	`pow-exp`
564×	`fma-def`
440×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	274	28
2	3560	28

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1072×	`distribute-lft-in`
982×	`distribute-rgt-in`
970×	`unswap-sqr`
386×	`associate-l`
374×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	4529
1	754	4347
2	2819	4143

Stop Event

1×	node limit

Counts

141 → 169

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

Outputs
(/.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 (pow.f64 a1 2) (sqrt.f64 2)))
(+.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
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(fma.f64 a1 (.f64 a1 (sqrt.f64 1/2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a1 a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (.f64 (sqrt.f64 1/2) (cbrt.f64 (.f64 a1 a1))) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 a2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a2 a2)) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (cbrt.f64 1/2) (.f64 a2 (.f64 a2 (cbrt.f64 (sqrt.f64 1/2)))) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (.f64 (sqrt.f64 1/2) a2) a2 (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (sqrt.f64 1/2) (.f64 a2 a2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(fma.f64 (.f64 (sqrt.f64 1/2) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (.f64 (sqrt.f64 1/2) (pow.f64 (cbrt.f64 a2) 2)) (.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 1/2)) (cbrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 (cbrt.f64 1/2) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (.f64 a1 a1)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (sqrt.f64 1/2))) (sqrt.f64 (sqrt.f64 1/2)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(fma.f64 a1 (.f64 a1 (sqrt.f64 1/2)) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))

localize12.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	99.5%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`log-prod`
808×	`prod-exp`
680×	`pow-prod-down`
518×	`pow-prod-up`
478×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	225	44
2	2793	44

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-*r/`
1218×	`times-frac`
980×	`associate-*l/`
972×	`fma-def`
652×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	255	3348
1	629	3270
2	1987	3270

Stop Event

1×	node limit

Counts

126 → 134

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

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

localize11.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(/.f64 (sqrt.f64 2) (*.f64 a2 a2))
✓	98.9%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite72.0ms (0.4%)

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	3041	44

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

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

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

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1476×	`fma-def`
1356×	`log-div`
1262×	`associate-/r*`
1078×	`log-prod`
898×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	279	3846
1	696	3736
2	2077	3730
3	6454	3730

Stop Event

1×	node limit

Counts

136 → 145

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

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

localize17.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 46 to 21 computations (54.3% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1922×	`prod-diff`
1454×	`log-prod`
644×	`fma-def`
548×	`expm1-udef`
544×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	320	48
2	4093	48

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-/l*`
654×	`associate-r`
582×	`cancel-sign-sub-inv`
568×	`associate-l`
532×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	5595
1	726	5135
2	2945	4803

Stop Event

1×	node limit

Counts

133 → 151

Calls

Call 1

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

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

eval469.0ms (2.9%)

Compiler: Compiled 19819 to 12446 computations (37.2% saved)

prune196.0ms (1.2%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	915	20	935
Fresh	12	1	13
Picked	1	0	1
Done	3	2	5
Total	931	23	954

Accurracy

100.0%

Counts

954 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.9%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
	57.4%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	36.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	38.9%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	55.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	36.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	57.3%	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
	55.9%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	57.4%	(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
✓	60.8%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	36.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
▶	38.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.3%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
	56.0%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
	56.0%	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
	99.3%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	60.9%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
▶	56.0%	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	57.4%	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
▶	99.4%	(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 2 -1/2)))
	57.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
▶	36.0%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

Compiler

Compiled 531 to 396 computations (25.4% saved)

localize19.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.8%	(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 2 -1/2)))
✓	99.4%	(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (pow.f64 2 -1/2))

Compiler

Compiled 51 to 21 computations (58.8% saved)

series3.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`log-prod`
1196×	`prod-diff`
674×	`pow-exp`
540×	`expm1-udef`
536×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	314	69
2	3873	69

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1334×	`distribute-lft-in`
1324×	`distribute-rgt-in`
606×	`log-prod`
582×	`times-frac`
350×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	5691
1	739	5567
2	2358	5393

Stop Event

1×	node limit

Counts

199 → 172

Calls

Call 1

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

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

localize8.0ms (0%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	99.3%	(/.f64 a2 (sqrt.f64 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a2	@	inf	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
0.0ms	a2	@	inf	(/.f64 a2 (sqrt.f64 2))
0.0ms	a2	@	-inf	(/.f64 a2 (sqrt.f64 2))
0.0ms	a2	@	0	(/.f64 a2 (sqrt.f64 2))
0.0ms	a2	@	0	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

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

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

simplify60.0ms (0.4%)

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

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

localize17.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	98.4%	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`pow1`
1516×	`add-exp-log`
1516×	`log1p-expm1-u`
1516×	`expm1-log1p-u`
1480×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	199	17
2	2260	17

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1306×	`log-prod`
842×	`associate-r`
778×	`associate-l`
678×	`distribute-rgt-in`
662×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	686
1	175	666
2	623	666
3	3534	666

Stop Event

1×	node limit

Counts

36 → 37

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

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 28 to 12 computations (57.1% saved)

series14.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	th	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
4.0ms	a2	@	inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
1.0ms	th	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
0.0ms	th	@	0	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
0.0ms	a2	@	inf	(.f64 (.f64 a2 a2) (cos.f64 th))

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1970×	`pow1`
1804×	`add-exp-log`
1804×	`log1p-expm1-u`
1804×	`expm1-log1p-u`
218×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	219	44
2	2532	44

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1390×	`log-prod`
1118×	`associate-*r/`
1080×	`unswap-sqr`
946×	`associate-*l/`
930×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1982
1	308	1952
2	1182	1858
3	4034	1816

Stop Event

1×	node limit

Counts

76 → 69

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(fma.f64 a2 a2 (*.f64 a1 a1))
✓	99.4%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`log-prod`
782×	`exp-prod`
620×	`prod-exp`
550×	`pow-prod-down`
510×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	221	36
2	2606	36

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

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

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

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1036×	`fma-neg`
1014×	`log-prod`
862×	`associate-r`
758×	`associate-l`
688×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	242	3534
1	556	3452
2	1535	3452
3	6660	3452

Stop Event

1×	node limit

Counts

138 → 122

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

eval197.0ms (1.2%)

Compiler: Compiled 7293 to 4624 computations (36.6% saved)

prune138.0ms (0.8%)

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	495	13	508
Fresh	2	14	16
Picked	1	0	1
Done	1	5	6
Total	499	32	531

Accurracy

100.0%

Counts

531 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.9%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	57.4%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	36.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	38.9%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	55.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	36.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	57.3%	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
	36.0%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	38.9%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	29.8%	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	55.9%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	57.4%	(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
	36.0%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
✓	38.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	56.0%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
	56.0%	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
	99.3%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	39.0%	(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
	30.3%	(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
✓	56.0%	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	36.0%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
▶	57.4%	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
✓	99.4%	(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 2 -1/2)))
▶	99.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
	57.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
✓	36.0%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	30.6%	(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
▶	36.0%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	35.8%	(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
	39.0%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
▶	39.0%	(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))

Compiler

Compiled 691 to 530 computations (23.3% saved)

localize59.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	99.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
✓	99.4%	(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))

Compiler

Compiled 41 to 16 computations (61% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`log-prod`
882×	`pow-prod-down`
656×	`pow-prod-up`
594×	`pow-exp`
482×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	275	56
2	3167	56

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-+l+`
1154×	`associate-+r+`
1044×	`distribute-rgt-in`
1036×	`distribute-lft-in`
752×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	3790
1	421	3452
2	966	3372
3	3502	3332

Stop Event

1×	node limit

Counts

110 → 93

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
✓	99.3%	(*.f64 a1 (sqrt.f64 1/2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a1	@	-inf	(*.f64 a1 (sqrt.f64 1/2))
0.0ms	a1	@	0	(*.f64 a1 (sqrt.f64 1/2))
0.0ms	a1	@	inf	(*.f64 a1 (sqrt.f64 1/2))
0.0ms	a1	@	inf	(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
0.0ms	a1	@	0	(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`pow1`
1260×	`add-exp-log`
1260×	`log1p-expm1-u`
1260×	`expm1-log1p-u`
1230×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	158	28
2	1766	28

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify43.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-rgt-in`
1248×	`fma-def`
1248×	`distribute-lft-in`
854×	`log-prod`
830×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	644
1	143	644
2	582	644
3	2367	644

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize7.0ms (0%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.5%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize22.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
✓	99.3%	(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓	98.4%	(/.f64 1 (neg.f64 (sqrt.f64 2)))

Compiler

Compiled 36 to 29 computations (19.4% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite80.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`add-sqr-sqrt`
226×	`pow1`
226×	`*-un-lft-identity`
216×	`add-exp-log`
216×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	246	53
2	3449	53

Stop Event

1×

unsound

Counts

3 → 57

Calls

Call 1

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

Outputs
-2
-1/2
1/8
1/4
1/2
2
4
8
16
64
512
(-.f64 0 (*.f64 -2 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 a2))) 1)
(/.f64 1 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (*.f64 -2 a2) -2)
(/.f64 -1 (/.f64 -2 a2))
(/.f64 (/.f64 a2 1) -2)
(/.f64 (/.f64 a2 -1) -2)
(pow.f64 (*.f64 -2 a2) 1)
(pow.f64 (*.f64 -2 a2) -2)
(pow.f64 (*.f64 -2 a2) 3)
(pow.f64 (*.f64 -2 a2) 1/3)
(neg.f64 (*.f64 -2 a2))
(sqrt.f64 (*.f64 -2 a2))
(fabs.f64 (*.f64 -2 a2))
(log.f64 (pow.f64 (exp.f64 -2) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 a2))))
(cbrt.f64 (*.f64 -2 a2))
(expm1.f64 (log1p.f64 (*.f64 -2 a2)))
(exp.f64 (log.f64 (*.f64 -2 a2)))
(exp.f64 (.f64 (log.f64 (.f64 -2 a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 a2)))
(-.f64 0 (*.f64 -2 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 a2))) 1)
(/.f64 1 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (*.f64 -2 a2) -2)
(/.f64 -1 (/.f64 -2 a2))
(/.f64 (/.f64 a2 1) -2)
(/.f64 (/.f64 a2 -1) -2)
(pow.f64 (*.f64 -2 a2) 1)
(pow.f64 (*.f64 -2 a2) -2)
(pow.f64 (*.f64 -2 a2) 3)
(pow.f64 (*.f64 -2 a2) 1/3)
(neg.f64 (*.f64 -2 a2))
(sqrt.f64 (*.f64 -2 a2))
(fabs.f64 (*.f64 -2 a2))
(log.f64 (pow.f64 (exp.f64 -2) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 a2))))
(cbrt.f64 (*.f64 -2 a2))
(expm1.f64 (log1p.f64 (*.f64 -2 a2)))
(exp.f64 (log.f64 (*.f64 -2 a2)))
(exp.f64 (.f64 (log.f64 (.f64 -2 a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 a2)))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-/l*`
1218×	`distribute-lft-in`
1208×	`times-frac`
1168×	`distribute-rgt-in`
568×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	741
1	117	717
2	273	717
3	1308	717

Stop Event

1×	node limit

Counts

81 → 62

Calls

Call 1

Inputs
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
-2
-1/2
1/8
1/4
1/2
2
4
8
16
64
512
(-.f64 0 (*.f64 -2 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 a2))) 1)
(/.f64 1 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (*.f64 -2 a2) -2)
(/.f64 -1 (/.f64 -2 a2))
(/.f64 (/.f64 a2 1) -2)
(/.f64 (/.f64 a2 -1) -2)
(pow.f64 (*.f64 -2 a2) 1)
(pow.f64 (*.f64 -2 a2) -2)
(pow.f64 (*.f64 -2 a2) 3)
(pow.f64 (*.f64 -2 a2) 1/3)
(neg.f64 (*.f64 -2 a2))
(sqrt.f64 (*.f64 -2 a2))
(fabs.f64 (*.f64 -2 a2))
(log.f64 (pow.f64 (exp.f64 -2) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 a2))))
(cbrt.f64 (*.f64 -2 a2))
(expm1.f64 (log1p.f64 (*.f64 -2 a2)))
(exp.f64 (log.f64 (*.f64 -2 a2)))
(exp.f64 (.f64 (log.f64 (.f64 -2 a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 a2)))
(-.f64 0 (*.f64 -2 a2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 a2))) 1)
(/.f64 1 (/.f64 -2 a2))
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (*.f64 -2 a2) -2)
(/.f64 -1 (/.f64 -2 a2))
(/.f64 (/.f64 a2 1) -2)
(/.f64 (/.f64 a2 -1) -2)
(pow.f64 (*.f64 -2 a2) 1)
(pow.f64 (*.f64 -2 a2) -2)
(pow.f64 (*.f64 -2 a2) 3)
(pow.f64 (*.f64 -2 a2) 1/3)
(neg.f64 (*.f64 -2 a2))
(sqrt.f64 (*.f64 -2 a2))
(fabs.f64 (*.f64 -2 a2))
(log.f64 (pow.f64 (exp.f64 -2) a2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 a2))))
(cbrt.f64 (*.f64 -2 a2))
(expm1.f64 (log1p.f64 (*.f64 -2 a2)))
(exp.f64 (log.f64 (*.f64 -2 a2)))
(exp.f64 (.f64 (log.f64 (.f64 -2 a2)) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 a2)))

Outputs
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (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 a2 (sqrt.f64 2)) a2)
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
-2
-1/2
1/8
1/4
1/2
2
4
8
16
64
512
(-.f64 0 (*.f64 -2 a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 a2))) 1)
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(/.f64 1 (/.f64 -2 a2))
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 a2 -2)
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 a2 (/.f64 -2 a2))
(*.f64 (/.f64 a2 -2) a2)
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 a2 1/2))
(/.f64 (*.f64 -2 a2) -2)
(/.f64 -2 (/.f64 -2 a2))
a2
(/.f64 -1 (/.f64 -2 a2))
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 (/.f64 a2 1) -2)
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 (/.f64 a2 -1) -2)
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(pow.f64 (*.f64 -2 a2) 1)
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(pow.f64 (*.f64 -2 a2) -2)
(pow.f64 (*.f64 a2 -2) -2)
(pow.f64 (*.f64 a2 2) -2)
(pow.f64 (+.f64 a2 a2) -2)
(pow.f64 (*.f64 -2 a2) 3)
(*.f64 -8 (pow.f64 a2 3))
(pow.f64 (*.f64 a2 -2) 3)
(pow.f64 (*.f64 -2 a2) 1/3)
(cbrt.f64 (*.f64 a2 -2))
(cbrt.f64 (*.f64 a2 2))
(cbrt.f64 (+.f64 a2 a2))
(neg.f64 (*.f64 -2 a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(sqrt.f64 (*.f64 -2 a2))
(sqrt.f64 (*.f64 a2 -2))
(sqrt.f64 (*.f64 a2 2))
(sqrt.f64 (+.f64 a2 a2))
(fabs.f64 (*.f64 -2 a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(log.f64 (pow.f64 (exp.f64 -2) a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 a2))))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(cbrt.f64 (*.f64 -2 a2))
(cbrt.f64 (*.f64 a2 -2))
(cbrt.f64 (*.f64 a2 2))
(cbrt.f64 (+.f64 a2 a2))
(expm1.f64 (log1p.f64 (*.f64 -2 a2)))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(exp.f64 (log.f64 (*.f64 -2 a2)))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(exp.f64 (.f64 (log.f64 (.f64 -2 a2)) 1))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(log1p.f64 (expm1.f64 (*.f64 -2 a2)))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(-.f64 0 (*.f64 -2 a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 a2))) 1)
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(/.f64 1 (/.f64 -2 a2))
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 a2 -2)
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 a2 (/.f64 -2 a2))
(*.f64 (/.f64 a2 -2) a2)
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 a2 1/2))
(/.f64 (*.f64 -2 a2) -2)
(/.f64 -2 (/.f64 -2 a2))
a2
(/.f64 -1 (/.f64 -2 a2))
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 (/.f64 a2 1) -2)
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(/.f64 (/.f64 a2 -1) -2)
(*.f64 -1/2 a2)
(*.f64 a2 -1/2)
(*.f64 a2 1/2)
(pow.f64 (*.f64 -2 a2) 1)
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(pow.f64 (*.f64 -2 a2) -2)
(pow.f64 (*.f64 a2 -2) -2)
(pow.f64 (*.f64 a2 2) -2)
(pow.f64 (+.f64 a2 a2) -2)
(pow.f64 (*.f64 -2 a2) 3)
(*.f64 -8 (pow.f64 a2 3))
(pow.f64 (*.f64 a2 -2) 3)
(pow.f64 (*.f64 -2 a2) 1/3)
(cbrt.f64 (*.f64 a2 -2))
(cbrt.f64 (*.f64 a2 2))
(cbrt.f64 (+.f64 a2 a2))
(neg.f64 (*.f64 -2 a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(sqrt.f64 (*.f64 -2 a2))
(sqrt.f64 (*.f64 a2 -2))
(sqrt.f64 (*.f64 a2 2))
(sqrt.f64 (+.f64 a2 a2))
(fabs.f64 (*.f64 -2 a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(log.f64 (pow.f64 (exp.f64 -2) a2))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 a2))))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(cbrt.f64 (*.f64 -2 a2))
(cbrt.f64 (*.f64 a2 -2))
(cbrt.f64 (*.f64 a2 2))
(cbrt.f64 (+.f64 a2 a2))
(expm1.f64 (log1p.f64 (*.f64 -2 a2)))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(exp.f64 (log.f64 (*.f64 -2 a2)))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(exp.f64 (.f64 (log.f64 (.f64 -2 a2)) 1))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)
(log1p.f64 (expm1.f64 (*.f64 -2 a2)))
(*.f64 2 a2)
(*.f64 a2 2)
(+.f64 a2 a2)

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 a1 (.f64 a1 (cos.f64 th)))
✓	99.8%	(*.f64 a1 (cos.f64 th))
✓	99.5%	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))

Compiler

Compiled 29 to 12 computations (58.6% saved)

series53.0ms (0.3%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
46.0ms	a1	@	inf	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
3.0ms	th	@	inf	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
1.0ms	th	@	-inf	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
0.0ms	th	@	0	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
0.0ms	a1	@	0	(*.f64 a1 (cos.f64 th))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`log-prod`
858×	`prod-exp`
832×	`exp-prod`
774×	`pow-prod-down`
510×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	218	55
2	2534	55

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

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

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1920×	`fma-def`
858×	`log-prod`
622×	`sqr-pow`
582×	`*-commutative`
460×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	3861
1	680	3743
2	1775	3653
3	5832	3653

Stop Event

1×	node limit

Counts

151 → 166

Calls

Call 1

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

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

eval168.0ms (1%)

Compiler: Compiled 6520 to 3898 computations (40.2% saved)

prune130.0ms (0.8%)

Pruning

43 alts after pruning (35 fresh and 8 done)

	Pruned	Kept	Total
New	442	22	464
Fresh	9	13	22
Picked	0	1	1
Done	2	7	9
Total	453	43	496

Accurracy

100.0%

Counts

496 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.9%	(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
	60.9%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	57.4%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	36.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	38.9%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	55.8%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	36.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	57.3%	(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
	29.8%	(-.f64 (+.f64 1 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1)
	55.9%	(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
	57.4%	(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
	39.0%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓	38.9%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	99.3%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	39.0%	(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
✓	56.0%	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	36.0%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
✓	57.4%	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
✓	99.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
	99.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
	57.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	2.2%	(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
	13.5%	(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
	2.9%	(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
	15.1%	(*.f64 a2 (/.f64 a2 -2))
	19.6%	(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
	19.4%	(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
	18.7%	(*.f64 a2 (+.f64 a2 a2))
	13.9%	(.f64 a2 (.f64 (/.f64 a2 -2) a2))
✓	36.0%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	14.3%	(.f64 a2 (.f64 (neg.f64 a2) 512))
	14.9%	(.f64 a2 (.f64 (neg.f64 a2) 1/4))
	14.9%	(.f64 a2 (.f64 (neg.f64 a2) 1/8))
	56.0%	(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
	14.6%	(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
	19.6%	(.f64 a2 (.f64 a2 1/2))
	7.0%	(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
	19.4%	(*.f64 a2 a2)
	39.0%	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	29.9%	(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
✓	39.0%	(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
	15.2%	(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))

Compiler

Compiled 460 to 350 computations (23.9% saved)

regimes268.0ms (1.6%)

Counts

76 → 1

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (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 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 2 -1/2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (fma.f64 a1 a1 (*.f64 a2 a2)))
(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
(*.f64 (cos.f64 th) (pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

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

Calls

8 calls:

38.0ms	th
37.0ms	a2
36.0ms	a1
32.0ms	(cos.f64 th)
32.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Results

Accuracy	Segments	Branch
99.4%	1	`a1`
99.4%	1	`a2`
99.4%	1	`th`
99.4%	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
99.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.4%	1	`(cos.f64 th)`
99.4%	1	`(*.f64 a1 a1)`
99.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 754 to 408 computations (45.9% saved)

regimes202.0ms (1.2%)

Counts

67 → 1

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (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 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (cos.f64 th) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (pow.f64 2 -1/2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

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

Calls

7 calls:

32.0ms	a2
32.0ms	th
31.0ms	a1
26.0ms	(cos.f64 th)
25.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Accuracy	Segments	Branch
99.4%	1	`a1`
99.4%	1	`a2`
99.4%	1	`th`
99.4%	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
99.4%	1	`(cos.f64 th)`
99.4%	1	`(*.f64 a1 a1)`
99.4%	1	`(*.f64 a2 a2)`

Compiler

Compiled 603 to 329 computations (45.4% saved)

regimes1.1s (6.4%)

Counts

61 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))
(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (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 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (.f64 a1 a1) (cos.f64 th))))

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

Calls

7 calls:

269.0ms	th
209.0ms	(cos.f64 th)
174.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
119.0ms	(*.f64 a1 a1)
98.0ms	a2

Results

Accuracy	Segments	Branch
88.9%	2	`a1`
90.3%	2	`a2`
82.5%	6	`th`
86.6%	8	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
86.6%	8	`(cos.f64 th)`
86.0%	9	`(*.f64 a1 a1)`
84.4%	4	`(*.f64 a2 a2)`

Compiler

Compiled 523 to 303 computations (42.1% saved)

bsearch21.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.6646485694388776e-148	5.380657130275065e-148

Results

10.0ms	20×	body	1024	valid
9.0ms	55×	body	256	valid
2.0ms	5×	body	512	valid

Compiler

Compiled 158 to 120 computations (24.1% saved)

regimes846.0ms (5.2%)

Counts

53 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
(*.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))
(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
(*.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (cos.f64 th))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
(.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))

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

Calls

7 calls:

197.0ms	(*.f64 a1 a1)
144.0ms	(cos.f64 th)
144.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
141.0ms	th
74.0ms	a2

Results

Accuracy	Segments	Branch
88.9%	2	`a1`
90.2%	2	`a2`
82.5%	6	`th`
86.5%	8	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
86.5%	8	`(cos.f64 th)`
86.0%	9	`(*.f64 a1 a1)`
84.4%	4	`(*.f64 a2 a2)`

Compiler

Compiled 448 to 269 computations (40% saved)

bsearch69.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
68.0ms	2.6646485694388776e-148	5.380657130275065e-148

Results

56.0ms	21×	body	1024	valid
8.0ms	50×	body	256	valid
3.0ms	9×	body	512	valid

Compiler

Compiled 158 to 120 computations (24.1% saved)

regimes849.0ms (5.2%)

Counts

43 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))

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

Calls

6 calls:

218.0ms	th
217.0ms	(cos.f64 th)
129.0ms	(*.f64 a1 a1)
97.0ms	a2
94.0ms	a1

Results

Accuracy	Segments	Branch
88.9%	2	`a1`
90.2%	2	`a2`
82.5%	6	`th`
86.5%	8	`(cos.f64 th)`
84.8%	7	`(*.f64 a1 a1)`
84.4%	4	`(*.f64 a2 a2)`

Compiler

Compiled 350 to 218 computations (37.7% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.6646485694388776e-148	5.380657130275065e-148

Results

15.0ms	58×	body	256	valid
7.0ms	15×	body	1024	valid
2.0ms	7×	body	512	valid

Compiler

Compiled 158 to 120 computations (24.1% saved)

regimes469.0ms (2.9%)

Counts

42 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
(.f64 a2 (.f64 a2 (*.f64 (sqrt.f64 1/2) (cos.f64 th))))

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

Calls

6 calls:

102.0ms	a2
82.0ms	a1
82.0ms	(cos.f64 th)
76.0ms	(*.f64 a1 a1)
59.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
76.0%	2	`a1`
76.5%	2	`a2`
79.2%	3	`th`
79.3%	2	`(cos.f64 th)`
73.7%	4	`(*.f64 a1 a1)`
71.3%	2	`(*.f64 a2 a2)`

Compiler

Compiled 341 to 214 computations (37.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998632190425286	0.9999633507878494

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes136.0ms (0.8%)

Counts

41 → 1

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 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 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)

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

Calls

5 calls:

60.0ms	a2
22.0ms	th
21.0ms	a1
12.0ms	(*.f64 a1 a1)
12.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
60.9%	1	`a1`
60.9%	1	`a2`
60.9%	1	`th`
60.9%	1	`(*.f64 a1 a1)`
60.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 327 to 204 computations (37.6% saved)

regimes323.0ms (2%)

Counts

35 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
(.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2)))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a1 (-.f64 (+.f64 1 (.f64 a1 (sqrt.f64 1/2))) 1))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(*.f64 a2 (-.f64 (+.f64 1 (/.f64 a2 (sqrt.f64 2))) 1))

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

Calls

5 calls:

97.0ms	th
36.0ms	a2
32.0ms	(*.f64 a2 a2)
31.0ms	a1
25.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
55.6%	2	`a1`
57.1%	2	`a2`
45.7%	6	`th`
50.7%	2	`(*.f64 a1 a1)`
52.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 264 to 168 computations (36.4% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.716827337384685e-118	6.473788306586164e-118

Results

5.0ms	32×	body	256	valid
3.0ms	8×	body	1024	valid
2.0ms	8×	body	512	valid

Compiler

Compiled 94 to 71 computations (24.5% saved)

regimes238.0ms (1.5%)

Counts

27 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(.f64 a2 (pow.f64 (.f64 -2 a2) 1/3))
(.f64 a2 (pow.f64 (.f64 a2 -2) 3))
(*.f64 a2 (pow.f64 (+.f64 a2 a2) -2))
(.f64 a1 (sqrt.f64 (.f64 1/2 (*.f64 a1 a1))))
(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))

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

Calls

5 calls:

74.0ms	th
70.0ms	a2
40.0ms	(*.f64 a1 a1)
25.0ms	a1
21.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
55.6%	2	`a1`
57.1%	2	`a2`
45.7%	6	`th`
50.7%	2	`(*.f64 a1 a1)`
52.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 194 to 121 computations (37.6% saved)

bsearch55.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	4.716827337384685e-118	6.473788306586164e-118

Results

39.0ms	5×	body	512	valid
8.0ms	26×	body	256	valid
7.0ms	17×	body	1024	valid

Compiler

Compiled 88 to 68 computations (22.7% saved)

regimes169.0ms (1%)

Counts

18 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)

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

Calls

5 calls:

59.0ms	a2
51.0ms	th
22.0ms	a1
18.0ms	(*.f64 a1 a1)
15.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
55.6%	2	`a1`
57.1%	2	`a2`
45.6%	6	`th`
50.7%	2	`(*.f64 a1 a1)`
52.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 133 to 84 computations (36.8% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	4.716827337384685e-118	6.473788306586164e-118

Results

5.0ms	32×	body	256	valid
5.0ms	11×	body	1024	valid
1.0ms	5×	body	512	valid

Compiler

Compiled 88 to 68 computations (22.7% saved)

regimes139.0ms (0.8%)

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

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

Calls

4 calls:

59.0ms	(*.f64 a2 a2)
44.0ms	th
17.0ms	a2
15.0ms	a1

Results

Accuracy	Segments	Branch
55.6%	2	`a1`
57.0%	2	`a2`
45.6%	6	`th`
52.6%	2	`(*.f64 a2 a2)`

Compiler

Compiled 109 to 69 computations (36.7% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.716827337384685e-118	6.473788306586164e-118

Results

6.0ms	37×	body	256	valid
3.0ms	7×	body	1024	valid
2.0ms	4×	body	512	valid

Compiler

Compiled 88 to 68 computations (22.7% saved)

regimes101.0ms (0.6%)

Counts

14 → 2

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a2 (cbrt.f64 (.f64 a2 -2)))

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

Calls

4 calls:

65.0ms	a1
15.0ms	a2
9.0ms	(*.f64 a2 a2)
9.0ms	th

Results

Accuracy	Segments	Branch
43.0%	2	`a1`
41.5%	2	`a2`
39.0%	1	`th`
41.0%	2	`(*.f64 a2 a2)`

Compiler

Compiled 103 to 65 computations (36.9% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-5.267226532779601e-168	-5.2695990721404994e-169

Results

11.0ms	71×	body	256	valid
8.0ms	19×	body	1024	valid
2.0ms	6×	body	512	valid

Compiler

Compiled 142 to 110 computations (22.5% saved)

regimes28.0ms (0.2%)

Accuracy

Total -4.4b remaining (-8.5%)

Threshold costs -4.4b (-8.5%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 a2 a2)
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 (+.f64 a2 a2))
(*.f64 a2 (/.f64 a2 -2))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(.f64 a2 (.f64 (neg.f64 a2) 512))
(.f64 a2 (.f64 a2 (*.f64 a2 1/2)))
(.f64 a2 (.f64 (/.f64 a2 -2) a2))
(*.f64 a2 (/.f64 -2 (/.f64 -2 a2)))
(*.f64 a2 (/.f64 -1 (/.f64 -2 a2)))

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

Calls

4 calls:

7.0ms	th
7.0ms	a1
6.0ms	a2
4.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
19.6%	1	`a1`
19.6%	1	`a2`
19.6%	1	`th`
19.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 85 to 53 computations (37.6% saved)

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	598
1	86	598

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 (cos.f64 th) 4503149267407759/4503599627370496) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(if (<=.f64 a2 6814113040271315/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2))))
(if (<=.f64 a2 1760312535403423/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 49686240918645/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 7268387242956069/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a1 -2761917562647189/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (.f64 a2 (.f64 a2 1/2)))
(.f64 a2 (.f64 a2 1/2))
(*.f64 a2 a2)

Outputs
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (*.f64 a2 a2))))
(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a1))) (.f64 a2 (.f64 a2 (.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 (cos.f64 th) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (.f64 a2 (.f64 a2 (.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(if (<=.f64 a2 7630157795545261/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (.f64 a2 (.f64 a2 (.f64 (cos.f64 th) (sqrt.f64 1/2)))))
(if (<=.f64 (cos.f64 th) 4503149267407759/4503599627370496) (.f64 a2 (.f64 a2 (.f64 (sqrt.f64 1/2) (cos.f64 th)))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(if (<=.f64 (cos.f64 th) 4503149267407759/4503599627370496) (.f64 a2 (.f64 a2 (.f64 (cos.f64 th) (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(if (<=.f64 a2 6814113040271315/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 a2 (sqrt.f64 (/.f64 (.f64 a2 a2) 2))))
(if (<=.f64 a2 1760312535403423/2839213766779714416208296124562517712318911565184836172974571090549372219192960637992933791850638927971728600024477257552869537611776) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 49686240918645/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 49686240918645/88725430211866075506509253892578678509965986412026130405455346579667881849780019937279180995332466499116518750764914298527173050368) (.f64 a1 (.f64 (sqrt.f64 1/2) a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 7268387242956069/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 7268387242956069/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104) (.f64 a1 (.f64 (sqrt.f64 1/2) a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a1 -2761917562647189/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (.f64 a1 (.f64 a1 (sqrt.f64 1/2))) (.f64 a2 (.f64 a2 1/2)))
(if (<=.f64 a1 -2761917562647189/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128) (.f64 a1 (.f64 (sqrt.f64 1/2) a1)) (.f64 a2 (.f64 1/2 a2)))
(.f64 a2 (.f64 a2 1/2))
(.f64 a2 (.f64 1/2 a2))
(*.f64 a2 a2)

Compiler

Compiled 256 to 179 computations (30.1% saved)

soundness2.3s (13.7%)

Rules

1646×	`pow1`
1624×	`prod-diff`
1584×	`pow1`
1584×	`pow1`
1516×	`add-exp-log`

Iterations

Useful iterations: 0 (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	75
1	281	69
2	3385	69
0	14	73
1	287	69
2	3228	69
0	311	5691
1	739	5567
2	2358	5393
0	306	6226
1	686	6120
2	2374	5812
0	279	3846
1	696	3736
2	2077	3730
3	6454	3730
0	8	28
1	165	28
2	2007	28
0	12	53
1	246	53
2	3449	53
0	59	741
1	117	717
2	273	717
3	1308	717
0	12	53
1	246	53
2	3449	53
0	59	741
1	117	717
2	273	717
3	1308	717
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	463	9590
1	1214	9316
2	4858	9172
0	10	17
1	199	17
2	2260	17
0	75	686
1	175	666
2	623	666
3	3534	666
0	460	8546
1	1326	7796
2	4423	6742
0	118	1982
1	308	1952
2	1182	1858
3	4034	1816
0	303	4529
1	754	4347
2	2819	4143
0	8	28
1	165	28
2	2007	28
0	13	36
1	274	28
2	3560	28
0	303	4529
1	754	4347
2	2819	4143
0	173	3790
1	421	3452
2	966	3372
3	3502	3332
0	460	8546
1	1326	7796
2	4423	6742
0	306	6226
1	686	6120
2	2374	5812
0	463	9590
1	1214	9316
2	4858	9172
0	173	3790
1	421	3452
2	966	3372
3	3502	3332

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

Compiler

Compiled 1691 to 1128 computations (33.3% saved)

end162.0ms (1%)

Remove: (sort a1 a2)
Compiler: Compiled 247 to 143 computations (42.1% 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