Metrics for Migdal et al, Equation (64)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample2.2s (14.6%)

Results

551.0ms	3034×	body	256	valid
516.0ms	901×	body	1024	infinite
426.0ms	1047×	body	1024	valid
399.0ms	2262×	body	256	infinite
157.0ms	553×	body	512	valid
131.0ms	456×	body	512	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess26.0ms (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)

simplify17.0ms (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)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accurracy

99.7%

Counts

5 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 106 to 72 computations (32.1% saved)

localize190.0ms (1.3%)

Local Accuracy

Found 12 expressions with local accuracy:

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

Compiler

Compiled 137 to 52 computations (62% saved)

series25.0ms (0.2%)

Counts

12 → 212

Calls

63 calls:

Time	Variable		Point	Expression
3.0ms	a1	@	inf	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
2.0ms	th	@	-inf	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
1.0ms	a2	@	inf	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
1.0ms	th	@	inf	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
1.0ms	a1	@	0	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

rewrite159.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow-exp`
780×	`fma-def`
680×	`expm1-udef`
678×	`log1p-udef`
592×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	224
1	430	214
2	5375	214

Stop Event

1×	node limit

Counts

12 → 564

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

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

simplify264.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

992×	`associate-/l*`
978×	`log-prod`
610×	`*-commutative`
568×	`unswap-sqr`
546×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	796	27804
1	1953	25660
2	7155	25596

Stop Event

1×	node limit

Counts

776 → 509

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

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

eval295.0ms (2%)

Compiler: Compiled 15711 to 8824 computations (43.8% saved)

prune147.0ms (1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	707	16	723
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	709	17	726

Accurracy

100.0%

Counts

726 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	59.9%	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
	99.6%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.9%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	67.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
	59.4%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶	99.7%	(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
▶	99.7%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
	59.4%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	78.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
	59.4%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	59.9%	(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
	99.6%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.9%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	67.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	99.6%	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
	59.4%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶	99.7%	(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
▶	99.7%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
	59.4%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	78.9%	(*.f64 (cos.f64 th) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 4) 2)))
	59.4%	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))

Compiler

Compiled 992 to 726 computations (26.8% saved)

localize420.0ms (2.8%)

Local Accuracy

Found 19 expressions with local accuracy:

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

Compiler

Compiled 209 to 101 computations (51.7% saved)

series34.0ms (0.2%)

Counts

14 → 252

Calls

69 calls:

Time	Variable		Point	Expression
5.0ms	a1	@	0	(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
3.0ms	a2	@	0	(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
2.0ms	th	@	-inf	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
2.0ms	a2	@	0	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
2.0ms	a1	@	0	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))

rewrite109.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`add-sqr-sqrt`
634×	`pow1`
632×	`*-un-lft-identity`
600×	`add-exp-log`
600×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	324
1	648	294

Stop Event

1×	node limit

Counts

14 → 383

Calls

Call 1

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

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

simplify185.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

538×	`distribute-rgt-in`
528×	`distribute-lft-in`
526×	`times-frac`
524×	`unswap-sqr`
450×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	950	25961
1	3046	24513

Stop Event

1×	node limit

Counts

635 → 518

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 1/2) a2)
(+.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) a2)))
(fma.f64 (sqrt.f64 1/2) a2 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1)))))
(+.f64 (.f64 (sqrt.f64 1/2) a2) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) a2)) (.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 4)) (pow.f64 a2 3)))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (/.f64 (.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 4))) (pow.f64 a2 3))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a2 3) (pow.f64 a1 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) a2) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) a2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 4)) (pow.f64 a2 3))) (.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 6)) (pow.f64 a2 5))))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a2 3) (pow.f64 a1 4))) (/.f64 (.f64 1/16 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 6))) (pow.f64 a2 5)))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a2 3) (pow.f64 a1 4))) (.f64 1/16 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a2 5) (pow.f64 a1 6)))))))
(*.f64 (sqrt.f64 1/2) a1)
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (*.f64 (sqrt.f64 1/2) a1))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) a1))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 4)) (pow.f64 a1 3))) (*.f64 (sqrt.f64 1/2) a1)))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (.f64 (sqrt.f64 1/2) a1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 4)) (pow.f64 a1 3))) (+.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 6)) (pow.f64 a1 5))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (fma.f64 (sqrt.f64 1/2) a1 (.f64 1/16 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 5) (pow.f64 a2 6)))))))
(.f64 -1 (.f64 (sqrt.f64 1/2) a1))
(neg.f64 (*.f64 (sqrt.f64 1/2) a1))
(*.f64 (sqrt.f64 1/2) (neg.f64 a1))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) a1)) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)))
(fma.f64 -1 (.f64 (sqrt.f64 1/2) a1) (.f64 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (*.f64 a2 a2))) -1/2))
(-.f64 (/.f64 (.f64 -1/2 (sqrt.f64 1/2)) (/.f64 a1 (.f64 a2 a2))) (*.f64 (sqrt.f64 1/2) a1))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) a1)) (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 4)) (pow.f64 a1 3))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1))))
(fma.f64 -1 (.f64 (sqrt.f64 1/2) a1) (fma.f64 1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (.f64 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (*.f64 a2 a2))) -1/2)))
(-.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (/.f64 (.f64 -1/2 (sqrt.f64 1/2)) (/.f64 a1 (.f64 a2 a2)))) (*.f64 (sqrt.f64 1/2) a1))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 1/2) a1)) (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 4)) (pow.f64 a1 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (.f64 -1/16 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 6)) (pow.f64 a1 5))))))
(fma.f64 -1 (.f64 (sqrt.f64 1/2) a1) (fma.f64 1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (fma.f64 -1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (*.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 5) (pow.f64 a2 6))) -1/16))))
(-.f64 (fma.f64 1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (fma.f64 -1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (.f64 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 5) (pow.f64 a2 6))) -1/16))) (*.f64 (sqrt.f64 1/2) a1))
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(.f64 (cos.f64 th) (fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))
(fma.f64 (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (cos.f64 th) (.f64 (sqrt.f64 (.f64 (pow.f64 a1 4) 1/2)) (cos.f64 th)))
(.f64 (cos.f64 th) (fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) 2) (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) (.f64 (cos.f64 th) (sqrt.f64 (.f64 (pow.f64 a1 4) 1/2))))
(.f64 (cos.f64 th) (fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) 2) (cbrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 (.f64 (pow.f64 a1 4) 1/2)) (cos.f64 th)))
(.f64 (cos.f64 th) (fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) (sqrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) (.f64 (cos.f64 th) (sqrt.f64 (.f64 (pow.f64 a1 4) 1/2))))
(.f64 (cos.f64 th) (fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) (sqrt.f64 (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 (.f64 (pow.f64 a1 4) 1/2)) (cos.f64 th)))
(.f64 (cos.f64 th) (fma.f64 a2 (.f64 (sqrt.f64 1/2) a2) (sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))))

eval645.0ms (4.3%)

Compiler: Compiled 24310 to 14698 computations (39.5% saved)

prune239.0ms (1.6%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1099	14	1113
Fresh	8	3	11
Picked	3	2	5
Done	0	1	1
Total	1110	20	1130

Accurracy

100.0%

Counts

1130 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	59.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
▶	59.4%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
	45.1%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	41.8%	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	62.1%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
	67.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.8%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
✓	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	57.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (sqrt.f64 1/2) (neg.f64 a1))))
	59.4%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
▶	59.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	59.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
▶	40.0%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	45.1%	(*.f64 1 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	67.5%	(.f64 1 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
▶	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	59.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
▶	59.4%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
	45.1%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	41.8%	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	62.1%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
	67.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.8%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
✓	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	57.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (sqrt.f64 1/2) (neg.f64 a1))))
	59.4%	(.f64 (cos.f64 th) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
▶	59.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	59.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
▶	40.0%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	45.1%	(*.f64 1 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	67.5%	(.f64 1 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))

Compiler

Compiled 1022 to 758 computations (25.8% saved)

localize279.0ms (1.9%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.8%	(*.f64 (cos.f64 th) a2)
✓	99.8%	(/.f64 (*.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2))
	99.3%	(/.f64 (sqrt.f64 2) a2)
	100.0%	(cos.f64 th)
✓	99.9%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
✓	99.6%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	99.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	99.3%	(/.f64 (sqrt.f64 2) a2)
✓	84.2%	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
✓	99.8%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓	99.4%	(/.f64 a1 (sqrt.f64 2))
	100.0%	(cos.f64 th)
✓	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	99.6%	(/.f64 (sqrt.f64 2) (cos.f64 th))

Compiler

Compiled 147 to 77 computations (47.6% saved)

series20.0ms (0.1%)

Counts

9 → 144

Calls

45 calls:

Time	Variable		Point	Expression
5.0ms	th	@	-inf	(/.f64 (sqrt.f64 2) (cos.f64 th))
1.0ms	a2	@	-inf	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
1.0ms	a2	@	0	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
1.0ms	th	@	inf	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
1.0ms	th	@	0	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`add-sqr-sqrt`
636×	`pow1`
636×	`*-un-lft-identity`
596×	`add-exp-log`
596×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	201
1	659	195

Stop Event

1×	node limit

Counts

9 → 235

Calls

Call 1

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

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

simplify158.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1668×	`log-prod`
1016×	`associate-r`
944×	`associate-l`
702×	`associate-/l*`
614×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	679	13165
1	1835	11943
2	7406	11943

Stop Event

1×	node limit

Counts

379 → 378

Calls

Call 1

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

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

eval304.0ms (2%)

Compiler: Compiled 14441 to 8631 computations (40.2% saved)

prune169.0ms (1.1%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	881	14	895
Fresh	2	10	12
Picked	2	3	5
Done	0	3	3
Total	885	30	915

Accurracy

100.0%

Counts

915 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	40.9%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
	59.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
	45.1%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	40.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	45.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
▶	40.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	40.0%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	41.8%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
	62.1%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	18.0%	(.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th -1/2)) th)
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
▶	59.4%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
▶	67.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.8%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
✓	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	57.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (sqrt.f64 1/2) (neg.f64 a1))))
✓	59.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	59.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
✓	40.0%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	40.0%	(.f64 a1 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	40.0%	(.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))
	22.1%	(.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)))
▶	22.1%	(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
	67.5%	(.f64 1 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
	45.2%	(.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	38.6%	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))
✓	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	40.9%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
	59.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
	45.1%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	40.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	45.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
▶	40.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	40.0%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	67.4%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	41.8%	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (.f64 (*.f64 a2 (sqrt.f64 1/2)) a2))
	62.1%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	18.0%	(.f64 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th -1/2)) th)
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
▶	59.4%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
▶	67.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.8%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
✓	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	57.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (sqrt.f64 1/2) (neg.f64 a1))))
✓	59.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	59.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
✓	40.0%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	40.0%	(.f64 a1 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	40.0%	(.f64 a1 (.f64 a1 (pow.f64 2 -1/2)))
	22.1%	(.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)))
▶	22.1%	(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
	67.5%	(.f64 1 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
	45.2%	(.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	38.6%	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))

Compiler

Compiled 1398 to 1058 computations (24.3% saved)

localize294.0ms (2%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(cos.f64 th)
✓	99.7%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
	98.9%	(/.f64 (cos.f64 th) (sqrt.f64 2))
	99.3%	(/.f64 (sqrt.f64 2) a2)
✓	96.5%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
✓	92.3%	(.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2)
✓	99.8%	(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
✓	99.8%	(/.f64 a1 (/.f64 2 a1))
✓	53.2%	(sqrt.f64 (/.f64 a1 (/.f64 2 a1)))
✓	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
✓	99.3%	(/.f64 (sqrt.f64 2) a1)
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 143 to 78 computations (45.5% saved)

series7.0ms (0%)

Counts

9 → 144

Calls

39 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`add-sqr-sqrt`
660×	`pow1`
660×	`*-un-lft-identity`
622×	`add-exp-log`
622×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	199
1	681	189

Stop Event

1×	node limit

Counts

9 → 234

Calls

Call 1

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

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

simplify158.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1446×	`log-prod`
1118×	`fma-def`
794×	`associate-r`
714×	`associate-l`
440×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	595	10240
1	1549	9718
2	5948	9714

Stop Event

1×	node limit

Counts

378 → 352

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

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

eval157.0ms (1%)

Compiler: Compiled 7234 to 4713 computations (34.8% saved)

prune130.0ms (0.9%)

Pruning

36 alts after pruning (26 fresh and 10 done)

	Pruned	Kept	Total
New	489	11	500
Fresh	4	15	19
Picked	0	5	5
Done	1	5	6
Total	494	36	530

Accurracy

100.0%

Counts

530 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	40.9%	(/.f64 (.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) a2) (/.f64 (sqrt.f64 2) a2))
	14.2%	(/.f64 (.f64 (.f64 -1/2 (*.f64 th th)) a2) (/.f64 (sqrt.f64 2) a2))
	59.9%	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
	45.1%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	40.0%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	45.1%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	40.0%	(/.f64 a1 (pow.f64 (/.f64 a1 (sqrt.f64 2)) -1))
✓	40.0%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	40.0%	(/.f64 a1 (*.f64 (sqrt.f64 2) (/.f64 1 a1)))
	22.2%	(/.f64 a1 (sqrt.f64 (/.f64 2 (*.f64 a1 a1))))
	40.0%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	62.0%	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	62.1%	(.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	59.8%	(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
✓	59.4%	(.f64 (.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))
	45.1%	(.f64 (.f64 a2 a2) (/.f64 1 (sqrt.f64 2)))
✓	67.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	59.8%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a1 a1)))
	45.2%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	40.0%	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
	19.5%	(.f64 (sqrt.f64 1/2) (neg.f64 (.f64 a1 a1)))
✓	59.4%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	57.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (sqrt.f64 1/2) (neg.f64 a1))))
✓	59.4%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
	59.8%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	45.2%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	40.0%	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	22.2%	(*.f64 a1 (/.f64 1 (sqrt.f64 (/.f64 (/.f64 2 a1) a1))))
	19.6%	(.f64 a1 (.f64 (sqrt.f64 1/2) (neg.f64 a1)))
	40.0%	(.f64 a1 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	22.1%	(.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)))
✓	22.1%	(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))
	67.5%	(.f64 1 (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
	38.6%	(sqrt.f64 (/.f64 (pow.f64 a1 4) 2))

Compiler

Compiled 1031 to 658 computations (36.2% saved)

regimes201.0ms (1.3%)

Counts

58 → 1

Calls

Call 1

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

Calls

8 calls:

35.0ms	a1
28.0ms	a2
27.0ms	th
25.0ms	(cos.f64 th)
22.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 650 to 367 computations (43.5% saved)

regimes312.0ms (2.1%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

7 calls:

81.0ms	th
58.0ms	(*.f64 a1 a1)
52.0ms	a2
38.0ms	(*.f64 a2 a2)
24.0ms	a1

Results

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

Compiler

Compiled 595 to 337 computations (43.4% saved)

regimes159.0ms (1.1%)

Counts

53 → 1

Calls

Call 1

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

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

Calls

7 calls:

26.0ms	th
24.0ms	a1
24.0ms	a2
21.0ms	(cos.f64 th)
20.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 550 to 313 computations (43.1% saved)

regimes190.0ms (1.3%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

7 calls:

56.0ms	a1
30.0ms	a2
23.0ms	th
20.0ms	(cos.f64 th)
18.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 524 to 302 computations (42.4% saved)

regimes145.0ms (1%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

7 calls:

23.0ms	a1
23.0ms	a2
22.0ms	th
19.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
18.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 512 to 297 computations (42% saved)

regimes168.0ms (1.1%)

Counts

46 → 1

Calls

Call 1

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

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

Calls

7 calls:

51.0ms	a2
21.0ms	a1
20.0ms	th
17.0ms	(cos.f64 th)
17.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

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

Compiler

Compiled 462 to 270 computations (41.6% saved)

regimes506.0ms (3.4%)

Counts

45 → 4

Calls

Call 1

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

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

Calls

7 calls:

177.0ms	th
76.0ms	a2
57.0ms	(*.f64 a1 a1)
51.0ms	(*.f64 a2 a2)
47.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
88.9%	2	`a1`
92.4%	4	`a2`
86.0%	6	`th`
82.5%	2	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
82.5%	2	`(cos.f64 th)`
84.1%	3	`(*.f64 a1 a1)`
86.7%	4	`(*.f64 a2 a2)`

Compiler

Compiled 449 to 266 computations (40.8% saved)

regimes83.0ms (0.6%)

Counts

43 → 4

Calls

Call 1

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

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

Calls

1 calls:

72.0ms

a2

Results

Accuracy	Segments	Branch
92.4%	4	`a2`

Compiler

Compiled 398 to 233 computations (41.5% saved)

regimes76.0ms (0.5%)

Counts

39 → 4

Calls

Call 1

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

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

Calls

1 calls:

67.0ms

a2

Results

Accuracy	Segments	Branch
92.4%	4	`a2`

Compiler

Compiled 362 to 216 computations (40.3% saved)

regimes109.0ms (0.7%)

Counts

36 → 4

Calls

Call 1

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

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

Calls

1 calls:

63.0ms

a2

Results

Accuracy	Segments	Branch
92.4%	4	`a2`

Compiler

Compiled 335 to 202 computations (39.7% saved)

regimes70.0ms (0.5%)

Counts

35 → 4

Calls

Call 1

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

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

Calls

1 calls:

61.0ms

a2

Results

Accuracy	Segments	Branch
92.4%	4	`a2`

Compiler

Compiled 326 to 197 computations (39.6% saved)

regimes69.0ms (0.5%)

Counts

34 → 4

Calls

Call 1

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

Calls

1 calls:

60.0ms

a2

Results

Accuracy	Segments	Branch
92.4%	4	`a2`

Compiler

Compiled 317 to 193 computations (39.1% saved)

regimes247.0ms (1.6%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

96.0ms	a2
58.0ms	(cos.f64 th)
42.0ms	a1
26.0ms	(*.f64 a1 a1)
17.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
80.5%	4	`(cos.f64 th)`
75.5%	2	`(*.f64 a1 a1)`
74.1%	2	`(*.f64 a2 a2)`
81.4%	3	`a1`
78.5%	4	`a2`

Compiler

Compiled 329 to 204 computations (38% saved)

regimes155.0ms (1%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	(*.f64 a2 a2)
42.0ms	a2
30.0ms	a1
17.0ms	(*.f64 a1 a1)
15.0ms	th

Results

Accuracy	Segments	Branch
67.5%	1	`(*.f64 a2 a2)`
69.4%	3	`a2`
67.5%	1	`(*.f64 a1 a1)`
67.5%	1	`th`
69.8%	2	`a1`

Compiler

Compiled 319 to 197 computations (38.2% saved)

regimes53.0ms (0.4%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

2 calls:

37.0ms	a1
9.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
67.5%	1	`(*.f64 a1 a1)`
69.8%	3	`a1`

Compiler

Compiled 254 to 159 computations (37.4% saved)

regimes254.0ms (1.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

5 calls:

95.0ms	a1
75.0ms	th
53.0ms	a2
13.0ms	(*.f64 a1 a1)
12.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
62.7%	2	`a2`
63.4%	4	`a1`
54.3%	8	`th`
59.6%	2	`(*.f64 a2 a2)`
60.7%	2	`(*.f64 a1 a1)`

Compiler

Compiled 180 to 118 computations (34.4% saved)

regimes54.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

50.0ms

a2

Results

Accuracy	Segments	Branch
62.7%	2	`a2`

Compiler

Compiled 132 to 84 computations (36.4% saved)

regimes21.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

a2

Results

Accuracy	Segments	Branch
62.7%	2	`a2`

Compiler

Compiled 55 to 36 computations (34.5% saved)

regimes13.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

a2

Results

Accuracy	Segments	Branch
62.7%	2	`a2`

Compiler

Compiled 31 to 22 computations (29% saved)

regimes12.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

a2

Results

Accuracy	Segments	Branch
62.6%	2	`a2`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes11.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

a2

Results

Accuracy	Segments	Branch
62.6%	2	`a2`

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a2
3.0ms	th
3.0ms	a1

Results

Accuracy	Segments	Branch
40.0%	1	`th`
40.0%	1	`a1`
40.0%	1	`a2`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch121.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.8031295222697374e+48	1.710769589789677e+58
16.0ms	7.275050672874935e-39	7.80502215637997e-39
30.0ms	3.847284271789651e-106	2.5765584210174506e-104

Results

24.0ms	54×	body	1024	valid
23.0ms	137×	body	256	valid
21.0ms	19×	body	1024	infinite
7.0ms	27×	body	512	valid
6.0ms	39×	body	256	infinite
3.0ms	11×	body	512	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 606 to 457 computations (24.6% saved)

bsearch99.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	2.8031295222697374e+48	1.710769589789677e+58
4.0ms	7.275050672874935e-39	7.80502215637997e-39
31.0ms	3.847284271789651e-106	2.5765584210174506e-104

Results

23.0ms	50×	body	1024	valid
20.0ms	123×	body	256	valid
18.0ms	14×	body	512	infinite
16.0ms	50×	body	256	infinite
9.0ms	23×	body	1024	infinite
7.0ms	27×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 606 to 457 computations (24.6% saved)

bsearch105.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.8031295222697374e+48	1.710769589789677e+58
4.0ms	7.275050672874935e-39	7.80502215637997e-39
60.0ms	3.847284271789651e-106	2.5765584210174506e-104

Results

52.0ms	132×	body	256	valid
16.0ms	41×	body	1024	valid
11.0ms	40×	body	512	valid
7.0ms	42×	body	256	infinite
6.0ms	16×	body	1024	infinite
4.0ms	14×	body	512	infinite
2.0ms	3×	body	2048	valid

Compiler

Compiled 606 to 457 computations (24.6% saved)

bsearch91.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	2.8031295222697374e+48	1.710769589789677e+58
15.0ms	7.275050672874935e-39	7.80502215637997e-39
32.0ms	3.847284271789651e-106	2.5765584210174506e-104

Results

33.0ms	57×	body	1024	valid
24.0ms	119×	body	256	valid
11.0ms	41×	body	512	valid
8.0ms	16×	body	1024	infinite
7.0ms	46×	body	256	infinite
2.0ms	9×	body	512	infinite

Compiler

Compiled 606 to 457 computations (24.6% saved)

bsearch155.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
91.0ms	2.8031295222697374e+48	1.710769589789677e+58
5.0ms	7.275050672874935e-39	7.80502215637997e-39
59.0ms	3.847284271789651e-106	2.5765584210174506e-104

Results

98.0ms	66×	body	1024	valid
17.0ms	110×	body	256	valid
14.0ms	22×	body	1024	infinite
9.0ms	33×	body	512	valid
7.0ms	44×	body	256	infinite
3.0ms	13×	body	512	infinite

Compiler

Compiled 606 to 457 computations (24.6% saved)

bsearch78.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	2.8031295222697374e+48	1.710769589789677e+58
4.0ms	7.275050672874935e-39	7.80502215637997e-39
30.0ms	3.847284271789651e-106	2.5765584210174506e-104

Results

21.0ms	127×	body	256	valid
20.0ms	48×	body	1024	valid
11.0ms	36×	body	512	valid
10.0ms	22×	body	1024	infinite
7.0ms	42×	body	256	infinite
3.0ms	5×	body	2048	valid
2.0ms	8×	body	512	infinite

Compiler

Compiled 606 to 457 computations (24.6% saved)

bsearch113.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
59.0ms	-1.5521343038329683e-103	-3.6649024007210123e-106
53.0ms	-1.3752584217200454e+231	-1.2272490989814939e+225

Results

49.0ms	19×	body	1024	infinite
34.0ms	48×	body	256	valid
11.0ms	28×	body	1024	valid
9.0ms	57×	body	256	infinite
3.0ms	12×	body	512	infinite
3.0ms	12×	body	512	valid

Compiler

Compiled 352 to 258 computations (26.7% saved)

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
22.0ms	-1.3752584217200454e+231	-1.2272490989814939e+225

Results

10.0ms	21×	body	1024	infinite
8.0ms	47×	body	256	infinite
3.0ms	12×	body	512	infinite

Compiler

Compiled 208 to 150 computations (27.9% saved)

bsearch34.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	9.571110523980101e-110	3.847284271789651e-106

Results

11.0ms	59×	body	256	valid
9.0ms	22×	body	1024	valid
3.0ms	21×	body	256	infinite
3.0ms	8×	body	1024	infinite
3.0ms	11×	body	512	valid
3.0ms	7×	body	512	infinite

Compiler

Compiled 204 to 164 computations (19.6% saved)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	9.571110523980101e-110	3.847284271789651e-106

Results

10.0ms	62×	body	256	valid
9.0ms	22×	body	1024	valid
5.0ms	12×	body	1024	infinite
3.0ms	9×	body	512	valid
2.0ms	16×	body	256	infinite
2.0ms	6×	body	512	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 196 to 156 computations (20.4% saved)

bsearch77.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
77.0ms	9.571110523980101e-110	3.847284271789651e-106

Results

53.0ms	58×	body	256	valid
10.0ms	23×	body	1024	valid
5.0ms	17×	body	512	valid
4.0ms	9×	body	1024	infinite
2.0ms	15×	body	256	infinite
2.0ms	5×	body	512	infinite
1.0ms	1×	body	2048	valid

Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch57.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
57.0ms	9.571110523980101e-110	3.847284271789651e-106

Results

25.0ms	15×	body	512	valid
14.0ms	62×	body	256	valid
8.0ms	19×	body	1024	valid
5.0ms	12×	body	1024	infinite
3.0ms	17×	body	256	infinite
1.0ms	2×	body	2048	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	9.571110523980101e-110	3.847284271789651e-106

Results

10.0ms	66×	body	256	valid
9.0ms	24×	body	1024	valid
3.0ms	22×	body	256	infinite
2.0ms	8×	body	512	valid
2.0ms	6×	body	512	infinite
1.0ms	2×	body	1024	infinite

Compiler

Compiled 188 to 148 computations (21.3% saved)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	9.571110523980101e-110	3.847284271789651e-106

Results

10.0ms	64×	body	256	valid
9.0ms	24×	body	1024	valid
4.0ms	20×	body	256	infinite
3.0ms	7×	body	1024	infinite
2.0ms	9×	body	512	valid
1.0ms	4×	body	512	infinite

Compiler

Compiled 188 to 148 computations (21.3% saved)

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	1708
1	177	1708

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.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)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2)) (if (<=.f64 a2 2819999999999999945160072874980176809332203061248) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (if (<=.f64 a2 1850000000000000093796994710362281588758725440024084480) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))))
(if (<=.f64 a2 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (if (<=.f64 a2 1259999999999999948923099464578343317419926707878494208) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 2911741527645189/383123885216472214589586756787577295904684780545900544) (.f64 (cos.f64 th) (.f64 (.f64 a2 (sqrt.f64 1/2)) a2)) (if (<=.f64 a2 11800000000000000256886737609196288950989020972390484541440) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 2911741527645189/383123885216472214589586756787577295904684780545900544) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (if (<=.f64 a2 79000000000000003950599431048659681190823795359744) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a2 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) (if (<=.f64 a2 80999999999999998515120333590711091569118213360106602496) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(if (<=.f64 a1 -1000000000000000056475411020520841414840626381983058374700565164155456563967578197189219761589459982979768169347536362096565980644606923877305160145603279779419783940304062319818564238082591276919599588305301753272401848696295129088) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 a1 -3954070125820579/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(if (<=.f64 a1 -200000000000000018566694074404639819378069690490101542196902776253846856163939159840059282418176525085886253619645547395494452275702152941939095171774746416271847927009972550941814050584480067924075896560348075010316160938803200) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 a1 (.f64 (sqrt.f64 2) (/.f64 1 a1))) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2))) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 5784239726914675/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 4544759785432959/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Outputs
(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
(.f64 (cos.f64 th) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (/.f64 (.f64 a1 a1) (sqrt.f64 2))))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.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)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (.f64 (cos.f64 th) (pow.f64 2 -1/2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2)) (if (<=.f64 a2 2819999999999999945160072874980176809332203061248) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (/.f64 (.f64 (cos.f64 th) a2) (/.f64 (sqrt.f64 2) a2)) (if (<=.f64 a2 2819999999999999945160072874980176809332203061248) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th))))) (.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (if (<=.f64 a2 1850000000000000093796994710362281588758725440024084480) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (if (<=.f64 a2 1850000000000000093796994710362281588758725440024084480) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th))))) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))))
(if (<=.f64 a2 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)) (if (<=.f64 a2 1259999999999999948923099464578343317419926707878494208) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))))
(if (<=.f64 a2 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2)))) (if (<=.f64 a2 1259999999999999948923099464578343317419926707878494208) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th))))) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 1/2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 2911741527645189/383123885216472214589586756787577295904684780545900544) (.f64 (cos.f64 th) (.f64 (.f64 a2 (sqrt.f64 1/2)) a2)) (if (<=.f64 a2 11800000000000000256886737609196288950989020972390484541440) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (if (<=.f64 a2 2911741527645189/383123885216472214589586756787577295904684780545900544) (.f64 (cos.f64 th) (.f64 a2 (.f64 a2 (sqrt.f64 1/2)))) (if (<=.f64 a2 11800000000000000256886737609196288950989020972390484541440) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th))))) (.f64 (cos.f64 th) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 2911741527645189/383123885216472214589586756787577295904684780545900544) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) (if (<=.f64 a2 79000000000000003950599431048659681190823795359744) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))))))
(if (<=.f64 a2 8230921486402021/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (if (or (<=.f64 a2 2911741527645189/383123885216472214589586756787577295904684780545900544) (not (<=.f64 a2 79000000000000003950599431048659681190823795359744))) (.f64 (cos.f64 th) (.f64 (.f64 a2 a2) (sqrt.f64 1/2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))))))
(if (<=.f64 a2 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2))) (if (<=.f64 a2 80999999999999998515120333590711091569118213360106602496) (.f64 (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (.f64 th th)))) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (/.f64 (*.f64 a2 (cos.f64 th)) (sqrt.f64 2))))))
(if (<=.f64 a2 3873374817130363/161390617380431786853494948250188242145606612051826469551916209783790476376052574664352834580008614464743948248296718336) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (if (or (<=.f64 a2 5746858278247083/766247770432944429179173513575154591809369561091801088) (not (<=.f64 a2 80999999999999998515120333590711091569118213360106602496))) (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (+.f64 1 (.f64 -1/2 (*.f64 th th)))))))
(if (<=.f64 a1 -1000000000000000056475411020520841414840626381983058374700565164155456563967578197189219761589459982979768169347536362096565980644606923877305160145603279779419783940304062319818564238082591276919599588305301753272401848696295129088) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 a1 -3954070125820579/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))))
(if (<=.f64 a1 -1000000000000000056475411020520841414840626381983058374700565164155456563967578197189219761589459982979768169347536362096565980644606923877305160145603279779419783940304062319818564238082591276919599588305301753272401848696295129088) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))) (if (<=.f64 a1 -3954070125820579/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 1/2)) (.f64 a2 (/.f64 (.f64 (cos.f64 th) a2) (sqrt.f64 2)))))
(if (<=.f64 a1 -200000000000000018566694074404639819378069690490101542196902776253846856163939159840059282418176525085886253619645547395494452275702152941939095171774746416271847927009972550941814050584480067924075896560348075010316160938803200) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))))
(if (<=.f64 a1 -200000000000000018566694074404639819378069690490101542196902776253846856163939159840059282418176525085886253619645547395494452275702152941939095171774746416271847927009972550941814050584480067924075896560348075010316160938803200) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 a1 (.f64 (sqrt.f64 2) (/.f64 1 a1))) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 a1 (.f64 (sqrt.f64 2) (/.f64 1 a1))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2))) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 a1 (.f64 a1 (pow.f64 2 -1/2))) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 5784239726914675/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))
(if (<=.f64 a2 5784239726914675/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))
(if (<=.f64 a2 4544759785432959/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 4544759785432959/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))

Compiler

Compiled 671 to 449 computations (33.1% saved)

soundness3.9s (26.1%)

Rules

1446×	`log-prod`
1446×	`log-prod`
1446×	`log-prod`
1118×	`fma-def`
1118×	`fma-def`

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
0	20	224
1	430	214
2	5375	214
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	950	25961
1	3046	24513
0	796	27804
1	1953	25660
2	7155	25596
0	29	324
1	648	294
0	796	27804
1	1953	25660
2	7155	25596
0	595	10240
1	1549	9718
2	5948	9714
0	20	224
1	430	214
2	5375	214
0	595	10240
1	1549	9718
2	5948	9714
0	595	10240
1	1549	9718
2	5948	9714
0	31	201
1	659	195
0	31	201
1	659	195
0	31	199
1	681	189
0	796	27804
1	1953	25660
2	7155	25596
0	950	25961
1	3046	24513
0	950	25961
1	3046	24513
0	29	324
1	648	294
0	796	27804
1	1953	25660
2	7155	25596
0	950	25961
1	3046	24513
0	796	27804
1	1953	25660
2	7155	25596
0	796	27804
1	1953	25660
2	7155	25596

Stop Event

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

Compiler

Compiled 1016 to 617 computations (39.3% saved)

end318.0ms (2.1%)

Remove: (sort a1 a2)
Compiler: Compiled 1294 to 702 computations (45.7% 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

analyze0.0ms (0%)

sample2.2s (14.6%)

preprocess26.0ms (0.2%)

simplify17.0ms (0.1%)

eval1.0ms (0%)

prune3.0ms (0%)

localize190.0ms (1.3%)

series25.0ms (0.2%)

rewrite159.0ms (1.1%)

simplify264.0ms (1.8%)

eval295.0ms (2%)

prune147.0ms (1%)

localize420.0ms (2.8%)

series34.0ms (0.2%)

rewrite109.0ms (0.7%)

simplify185.0ms (1.2%)

eval645.0ms (4.3%)

prune239.0ms (1.6%)

localize279.0ms (1.9%)

series20.0ms (0.1%)

rewrite93.0ms (0.6%)

simplify158.0ms (1.1%)

eval304.0ms (2%)

prune169.0ms (1.1%)

localize294.0ms (2%)

series7.0ms (0%)

rewrite85.0ms (0.6%)

simplify158.0ms (1%)

eval157.0ms (1%)

prune130.0ms (0.9%)

regimes201.0ms (1.3%)

regimes312.0ms (2.1%)

regimes159.0ms (1.1%)

regimes190.0ms (1.3%)

regimes145.0ms (1%)

regimes168.0ms (1.1%)

regimes506.0ms (3.4%)

regimes83.0ms (0.6%)

regimes76.0ms (0.5%)

regimes109.0ms (0.7%)

regimes70.0ms (0.5%)

regimes69.0ms (0.5%)

regimes247.0ms (1.6%)

regimes155.0ms (1%)

regimes53.0ms (0.4%)

regimes254.0ms (1.7%)

regimes54.0ms (0.4%)

regimes21.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch121.0ms (0.8%)

bsearch99.0ms (0.7%)

bsearch105.0ms (0.7%)

bsearch91.0ms (0.6%)

bsearch155.0ms (1%)

bsearch78.0ms (0.5%)

bsearch113.0ms (0.8%)

bsearch22.0ms (0.1%)

bsearch34.0ms (0.2%)

bsearch38.0ms (0.3%)

bsearch77.0ms (0.5%)

bsearch57.0ms (0.4%)

bsearch30.0ms (0.2%)

bsearch32.0ms (0.2%)

simplify29.0ms (0.2%)

soundness3.9s (26.1%)

end318.0ms (2.1%)

Profiling

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