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)

sample2.0s (16.6%)

Results

510.0ms	3067×	body	256	valid
448.0ms	1049×	body	1024	valid
384.0ms	921×	body	1024	infinite
359.0ms	2228×	body	256	infinite
152.0ms	549×	body	512	valid
124.0ms	439×	body	512	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess192.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	273
1	121	245
2	341	245
3	920	245
4	2205	245
5	3970	245
6	5361	245
7	5949	245
8	6022	245
9	6033	245
10	6038	245
11	7257	245

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs a1)

(abs a2)

(abs th)

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify7.0ms (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)

prune10.0ms (0.1%)

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)))
▶	99.7%	(.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)))
▶	99.7%	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 106 to 72 computations (32.1% saved)

localize181.0ms (1.5%)

Local Accuracy

Found 10 expressions with local accuracy:

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

series27.0ms (0.2%)

Counts

10 → 236

Calls

63 calls:

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

rewrite163.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`fma-def`
704×	`expm1-udef`
702×	`log1p-udef`
510×	`fma-neg`
414×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	244
1	462	232
2	5864	232

Stop Event

1×	node limit

Counts

10 → 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)))
(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)))
(+.f64 (.f64 a1 a1) (.f64 a2 a2))
(/.f64 (cos.f64 th) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(+.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 (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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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)
(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))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))
(+.f64 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(+.f64 (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)))) 1)
(-.f64 (/.f64 (.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (/.f64 (.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a2 4)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.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 (-.f64 (fma.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 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (.f64 a2 a2) (cos.f64 th))) 2)) (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6) (*.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a2 6)))))
(/.f64 1 (/.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (-.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 1 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6) (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a2 6))) (-.f64 (fma.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 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (*.f64 a2 a2) (cos.f64 th))) 2)))
(/.f64 (fma.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a1 6) (.f64 (pow.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 3) (pow.f64 a2 6))) (fma.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a2 4) (-.f64 (.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2) (pow.f64 a1 4)) (/.f64 (.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (.f64 (*.f64 a2 a2) (cos.f64 th))) 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 (.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 (cos.f64 th) (sqrt.f64 2)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2))
(/.f64 (fma.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (*.f64 a1 a1)))) 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 (+.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))))
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(fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) 1) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (.f64 a1 a1) (cbrt.f64 (sqrt.f64 2))) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (.f64 a2 a2) (pow.f64 2 1/4)) (.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (.f64 a1 a1) (pow.f64 2 1/4)) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4))) (pow.f64 (cbrt.f64 a1) 2) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a1 a1) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a1 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) a1 (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (cbrt.f64 a1) 2)) (cbrt.f64 a1) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 a1)) (sqrt.f64 a1) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a2 a2) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) 2))) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a2 a2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4))) (pow.f64 (cbrt.f64 a2) 2) (.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) 1) a2 (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 a2) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(fma.f64 (.f64 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))) (sqrt.f64 a2)) (sqrt.f64 a2) (.f64 a1 (.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2)))))

simplify222.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1304×	`associate-r`
1158×	`associate-l`
890×	`associate-/l*`
542×	`times-frac`
478×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	705	37052
1	1843	32766

Stop Event

1×	node limit

Counts

800 → 466

Calls

Call 1

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

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

eval207.0ms (1.7%)

Compiler: Compiled 12980 to 7563 computations (41.7% saved)

prune113.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	556	10	566
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	558	11	569

Accurracy

100.0%

Counts

569 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 3)
	65.2%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
▶	99.6%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
▶	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	65.2%	(.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)))
	99.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	99.2%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	99.0%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 3)
	65.2%	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
▶	99.6%	(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
▶	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
	99.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	65.2%	(.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)))
	99.2%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	99.2%	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))

Compiler

Compiled 628 to 466 computations (25.8% saved)

localize229.0ms (1.9%)

Local Accuracy

Found 12 expressions with local accuracy:

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

Compiler

Compiled 184 to 65 computations (64.7% saved)

series17.0ms (0.1%)

Counts

10 → 228

Calls

57 calls:

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

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

860×	`expm1-udef`
858×	`log1p-udef`
538×	`add-sqr-sqrt`
522×	`pow1`
520×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	238
1	583	220
2	7411	220

Stop Event

1×	node limit

Counts

10 → 326

Calls

Call 1

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

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

simplify197.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

834×	`log-prod`
806×	`*-commutative`
772×	`associate-/l*`
658×	`fma-def`
502×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	751	18378
1	2019	17164
2	7184	17164

Stop Event

1×	node limit

Counts

554 → 501

Calls

Call 1

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

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

eval179.0ms (1.5%)

Compiler: Compiled 9976 to 5785 computations (42% saved)

prune169.0ms (1.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	575	10	585
Fresh	5	0	5
Picked	2	3	5
Done	1	0	1
Total	583	13	596

Accurracy

100.0%

Counts

596 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.2%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	28.1%	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
✓	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	65.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	13.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	65.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	65.2%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
	99.2%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.2%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
▶	99.2%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
✓	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	64.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
▶	64.2%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	28.1%	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
✓	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
▶	65.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	13.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	65.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	65.2%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
	99.2%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
▶	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	99.2%	(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
▶	99.2%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
✓	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
▶	64.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

Compiler

Compiled 630 to 446 computations (29.2% saved)

localize217.0ms (1.8%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
✓	99.8%	(.f64 a2 (.f64 a2 (sqrt.f64 1/2)))
✓	99.3%	(*.f64 a2 (sqrt.f64 1/2))
✓	100.0%	(.f64 -1/2 (.f64 th th))
✓	99.8%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
✓	98.8%	(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))
	99.7%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
✓	99.8%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	99.3%	(/.f64 a2 (sqrt.f64 2))
	100.0%	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	99.7%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.6%	(*.f64 (sqrt.f64 1/2) (cos.f64 th))

Compiler

Compiled 146 to 74 computations (49.3% saved)

series12.0ms (0.1%)

Counts

10 → 160

Calls

45 calls:

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

rewrite131.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`expm1-udef`
592×	`add-sqr-sqrt`
576×	`pow1`
576×	`*-un-lft-identity`
542×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	210
1	596	208
2	7889	208

Stop Event

1×	node limit

Counts

10 → 232

Calls

Call 1

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

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

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1522×	`log-prod`
1222×	`associate-r`
1132×	`associate-l`
512×	`fma-neg`
496×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	11784
1	1556	11354
2	6944	11354

Stop Event

1×	node limit

Counts

392 → 363

Calls

Call 1

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

Outputs
(sqrt.f64 1/2)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (sqrt.f64 1/2))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (sqrt.f64 1/2))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (sqrt.f64 1/2)))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (*.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (pow.f64 th 2))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4))) (+.f64 (sqrt.f64 1/2) (.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (sqrt.f64 1/2)) (.f64 (*.f64 -1/720 (sqrt.f64 1/2)) (pow.f64 th 6))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 th th)) (fma.f64 1/24 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (pow.f64 th 6)) (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))
(fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 th th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))
(fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (.f64 th th) (.f64 (sqrt.f64 1/2) -1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (*.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 th th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))))
(fma.f64 1/24 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (.f64 th th) (.f64 (sqrt.f64 1/2) -1/2)) (fma.f64 a2 a2 (*.f64 a1 a1)))))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)))) (.f64 (sqrt.f64 1/2) (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(fma.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 4) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (fma.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (.f64 th th) (+.f64 (.f64 a2 a2) (.f64 a1 a1)))) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (.f64 a1 a1))))))
(fma.f64 1/24 (.f64 (.f64 (sqrt.f64 1/2) (pow.f64 th 4)) (fma.f64 a2 a2 (.f64 a1 a1))) (fma.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 th 6) (fma.f64 a2 a2 (.f64 a1 a1)))) (fma.f64 (sqrt.f64 1/2) (fma.f64 a2 a2 (.f64 a1 a1)) (.f64 (.f64 (.f64 th th) (.f64 (sqrt.f64 1/2) -1/2)) (fma.f64 a2 a2 (.f64 a1 a1))))))
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(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (.f64 th th) 1)) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (.f64 (.f64 a2 a2) (fma.f64 -1/2 (*.f64 th th) 1))) (pow.f64 2 1/4)))
(.f64 (/.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) 1) (/.f64 (.f64 a2 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2)))) (sqrt.f64 2)))
(/.f64 (pow.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) 2) (sqrt.f64 2))
(.f64 (/.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (cbrt.f64 2)) (/.f64 (.f64 a2 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2)))) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2))))) (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))))
(/.f64 (/.f64 (pow.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) 2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))
(.f64 (/.f64 (.f64 a2 (fma.f64 (*.f64 th -1/2) th 1)) 1) (/.f64 a2 (sqrt.f64 2)))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(.f64 (/.f64 (.f64 a2 (fma.f64 (*.f64 th -1/2) th 1)) (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 -1/2 th) th 1)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 th th) 1) (cbrt.f64 2)) (*.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) a2))
(.f64 (/.f64 (.f64 a2 (fma.f64 (*.f64 th -1/2) th 1)) (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))
(.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 -1/2 th) th 1)) (pow.f64 2 1/4)))
(.f64 (/.f64 a2 (pow.f64 2 1/4)) (.f64 (/.f64 a2 (pow.f64 2 1/4)) (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1))) 1)
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (cbrt.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1)))) 3)
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1))) 3) 1/3)
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(pow.f64 (/.f64 (.f64 a2 (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) (pow.f64 2 1/4)) 2)
(pow.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))))) 2)
(pow.f64 (.f64 (/.f64 a2 (pow.f64 2 1/4)) (hypot.f64 1 (.f64 th (sqrt.f64 -1/2)))) 2)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (.f64 a2 a2)) (fma.f64 (.f64 th -1/2) th 1)) -1)
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(neg.f64 (/.f64 (.f64 a2 (.f64 a2 (fma.f64 (*.f64 th -1/2) th 1))) (neg.f64 (sqrt.f64 2))))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(sqrt.f64 (/.f64 (.f64 (pow.f64 a2 4) (pow.f64 (fma.f64 (.f64 th -1/2) th 1) 2)) 2))
(sqrt.f64 (/.f64 (pow.f64 a2 4) (/.f64 2 (pow.f64 (fma.f64 (*.f64 -1/2 th) th 1) 2))))
(sqrt.f64 (.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 2)))
(log.f64 (exp.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1)))))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1))))))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(cbrt.f64 (pow.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1))) 3))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 a2 (.f64 a2 (fma.f64 (.f64 th -1/2) th 1))) 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (.f64 a2 a2) (fma.f64 (.f64 -1/2 th) th 1)) 3) (.f64 2 (sqrt.f64 2))))
(cbrt.f64 (/.f64 (.f64 (pow.f64 a2 6) (pow.f64 (fma.f64 -1/2 (.f64 th th) 1) 3)) (*.f64 2 (sqrt.f64 2))))
(expm1.f64 (log1p.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1)))))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (log.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1)))))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (*.f64 th -1/2) th 1)))) 1))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(log1p.f64 (expm1.f64 (/.f64 (.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 (.f64 th -1/2) th 1)))))
(.f64 a2 (.f64 (fma.f64 (*.f64 -1/2 th) th 1) (/.f64 a2 (sqrt.f64 2))))
(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (fma.f64 -1/2 (*.f64 th th) 1)))
(-.f64 (fma.f64 (*.f64 th -1/2) th 1) 1)
(+.f64 (fma.f64 (*.f64 -1/2 th) th 1) -1)
(+.f64 (.f64 -1/2 (.f64 th th)) 0)
(pow.f64 (.f64 th (.f64 th -1/2)) 1)
(.f64 -1/2 (.f64 th th))
(pow.f64 (cbrt.f64 (.f64 th (.f64 th -1/2))) 3)
(.f64 -1/2 (.f64 th th))
(pow.f64 (.f64 (pow.f64 (.f64 th th) 3) -1/8) 1/3)
(cbrt.f64 (*.f64 (pow.f64 th 6) -1/8))
(pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 th 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 th) th) -1/2))
(*.f64 -1/2 (log.f64 (pow.f64 (exp.f64 th) th)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 th (.f64 th -1/2)))))
(.f64 -1/2 (.f64 th th))
(cbrt.f64 (.f64 (pow.f64 (.f64 th th) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 th 6) -1/8))
(expm1.f64 (log1p.f64 (.f64 th (.f64 th -1/2))))
(.f64 -1/2 (.f64 th th))
(exp.f64 (log.f64 (.f64 th (.f64 th -1/2))))
(.f64 -1/2 (.f64 th th))
(exp.f64 (.f64 (log.f64 (.f64 th (*.f64 th -1/2))) 1))
(.f64 -1/2 (.f64 th th))
(log1p.f64 (expm1.f64 (.f64 th (.f64 th -1/2))))
(.f64 -1/2 (.f64 th th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2))) 1)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (*.f64 (sqrt.f64 1/2) a2) 1)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 3)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3) 1/3)
(*.f64 (sqrt.f64 1/2) a2)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/2) a2)) 2)
(*.f64 (sqrt.f64 1/2) a2)
(sqrt.f64 (.f64 1/2 (.f64 a2 a2)))
(log.f64 (pow.f64 (exp.f64 a2) (sqrt.f64 1/2)))
(*.f64 (sqrt.f64 1/2) a2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2))))
(*.f64 (sqrt.f64 1/2) a2)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/2) a2) 3))
(*.f64 (sqrt.f64 1/2) a2)
(cbrt.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (pow.f64 a2 3)))
(*.f64 (sqrt.f64 1/2) a2)
(cbrt.f64 (.f64 (pow.f64 a2 3) (.f64 1/2 (sqrt.f64 1/2))))
(*.f64 (sqrt.f64 1/2) a2)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) a2)))
(*.f64 (sqrt.f64 1/2) a2)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) a2)))
(*.f64 (sqrt.f64 1/2) a2)
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) a2)) 1))
(*.f64 (sqrt.f64 1/2) a2)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) a2)))
(*.f64 (sqrt.f64 1/2) a2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))) 1)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 1)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))) 3)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3) 1/3)
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
(sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))
(sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2)) 3))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(cbrt.f64 (.f64 (pow.f64 a2 3) (pow.f64 (.f64 (sqrt.f64 1/2) a2) 3)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(cbrt.f64 (.f64 (pow.f64 a2 6) (.f64 1/2 (sqrt.f64 1/2))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) a2) 3) (pow.f64 a2 3)))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2))) 1))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 a2 a2))))
(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))) 1)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 1)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))) 3)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 3) 1/3)
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(pow.f64 (.f64 (.f64 a2 (pow.f64 1/2 1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (.f64 a2 (.f64 (pow.f64 1/2 1/4) (sqrt.f64 (cos.f64 th)))) 2)
(pow.f64 (.f64 (pow.f64 1/2 1/4) (.f64 a2 (sqrt.f64 (cos.f64 th)))) 2)
(sqrt.f64 (.f64 (.f64 (pow.f64 a2 4) 1/2) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 1/2 (pow.f64 a2 4))))
(sqrt.f64 (.f64 1/2 (.f64 (pow.f64 a2 4) (pow.f64 (cos.f64 th) 2))))
(log.f64 (pow.f64 (exp.f64 a2) (.f64 (sqrt.f64 1/2) (.f64 a2 (cos.f64 th)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2))) 3))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) 3) (pow.f64 (cos.f64 th) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3) (pow.f64 a2 6)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(cbrt.f64 (.f64 (pow.f64 a2 6) (pow.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) 3)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (.f64 a2 a2)))) 1))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(exp.f64 (+.f64 (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th))) (.f64 2 (log.f64 a2))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(exp.f64 (+.f64 (.f64 2 (log.f64 a2)) (log.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))

eval134.0ms (1.1%)

Compiler: Compiled 6974 to 4529 computations (35.1% saved)

prune109.0ms (0.9%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	434	11	445
Fresh	1	4	5
Picked	1	4	5
Done	0	3	3
Total	436	22	458

Accurracy

100.0%

Counts

458 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
✓	64.2%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	28.1%	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
✓	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
✓	65.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	13.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	17.5%	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
	65.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	64.9%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	65.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	65.2%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
	99.2%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	99.3%	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	64.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
▶	64.9%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
▶	99.3%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
✓	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
✓	64.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	64.9%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
▶	64.9%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	17.5%	(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
	64.9%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
✓	64.2%	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	28.1%	(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
✓	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
✓	65.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
▶	13.4%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
▶	17.5%	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
	65.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	64.9%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	65.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	65.2%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
	99.2%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	99.3%	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	64.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
▶	64.9%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
▶	99.3%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
✓	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
✓	64.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
	64.9%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
▶	64.9%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	17.5%	(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))

Compiler

Compiled 936 to 694 computations (25.9% saved)

localize218.0ms (1.8%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2)))
✓	99.7%	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
✓	76.7%	(.f64 (.f64 th th) (*.f64 a2 a2))
✓	99.8%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
✓	99.3%	(*.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓	98.4%	(/.f64 1 (neg.f64 (sqrt.f64 2)))
✓	99.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
✓	99.6%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	99.9%	(.f64 (cos.f64 th) (.f64 a2 a2))
✓	99.7%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))

Compiler

Compiled 128 to 65 computations (49.2% saved)

series8.0ms (0.1%)

Counts

9 → 144

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	th	@	0	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
1.0ms	a2	@	0	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
1.0ms	th	@	inf	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
0.0ms	a2	@	inf	(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
0.0ms	a2	@	0	(.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2)))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
554×	`associate-r`
552×	`pow1`
552×	`*-un-lft-identity`
518×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	167
1	586	167

Stop Event

1×	node limit

Counts

9 → 186

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) -2)
(pow.f64 (*.f64 (cos.f64 th) a2) -2)
(pow.f64 (*.f64 (cos.f64 th) a2) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a2))
(fabs.f64 (*.f64 (cos.f64 th) a2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a2))))
(cbrt.f64 (*.f64 (cos.f64 th) a2))
(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)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(log.f64 (/.f64 -2 (exp.f64 a1)))
(cbrt.f64 a1)
a1
(expm1.f64 (log1p.f64 a1))
(exp.f64 (log.f64 a1))
(exp.f64 (*.f64 (log.f64 a1) -2))
(log1p.f64 (expm1.f64 a1))
-2
-1
-1/2
-1/8
-1/512
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
64
512
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
a2
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 0 (*.f64 a2 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 th))) -2)
(/.f64 -2 (*.f64 a2 th))
(/.f64 th (/.f64 -2 a2))
(/.f64 (*.f64 a2 th) a2)
(/.f64 (*.f64 a2 th) -2)
(/.f64 (.f64 a2 th) (.f64 a2 th))
(/.f64 (/.f64 -2 a2) th)
(/.f64 (/.f64 -2 th) a2)
(/.f64 (/.f64 -2 th) (*.f64 a2 th))
(pow.f64 (*.f64 a2 th) -2)
(pow.f64 (*.f64 a2 th) 1/3)
(neg.f64 (*.f64 a2 th))
(sqrt.f64 (*.f64 a2 th))
(fabs.f64 (*.f64 a2 th))
(log.f64 (pow.f64 (exp.f64 th) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 th))))
(log.f64 (/.f64 -2 (pow.f64 (exp.f64 th) a2)))
(cbrt.f64 (*.f64 a2 th))
(expm1.f64 (log1p.f64 (*.f64 a2 th)))
(exp.f64 (log.f64 (*.f64 a2 th)))
(exp.f64 (.f64 (log.f64 (.f64 a2 th)) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 th)))
(-.f64 0 (*.f64 a2 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 th))) -2)
(*.f64 a2 th)
(.f64 a2 (.f64 a2 th))
(.f64 -2 (.f64 a2 th))
(*.f64 th a2)
(.f64 th (.f64 a2 th))
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) -2)
(.f64 (.f64 a2 th) th)
(.f64 (.f64 a2 th) (*.f64 a2 th))
(.f64 (.f64 a2 th) (/.f64 -2 a2))
(*.f64 (/.f64 -2 a2) (/.f64 -2 th))
(*.f64 (/.f64 th -2) a2)
(.f64 (/.f64 -2 th) (.f64 a2 th))
(*.f64 (/.f64 -2 th) (/.f64 -2 a2))
(*.f64 (neg.f64 th) a2)
(pow.f64 (*.f64 a2 th) -2)
(pow.f64 (*.f64 a2 th) 1/3)
(neg.f64 (*.f64 a2 th))
(sqrt.f64 (*.f64 a2 th))
(fabs.f64 (*.f64 a2 th))
(log.f64 (pow.f64 (exp.f64 th) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 th))))
(log.f64 (/.f64 -2 (pow.f64 (exp.f64 th) a2)))
(cbrt.f64 (*.f64 a2 th))
(expm1.f64 (log1p.f64 (*.f64 a2 th)))
(exp.f64 (log.f64 (*.f64 a2 th)))
(exp.f64 (.f64 (log.f64 (.f64 a2 th)) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 th)))
(-.f64 0 (*.f64 a2 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 th))) -2)
(/.f64 -2 (*.f64 a2 th))
(/.f64 th (/.f64 -2 a2))
(/.f64 (*.f64 a2 th) a2)
(/.f64 (*.f64 a2 th) -2)
(/.f64 (.f64 a2 th) (.f64 a2 th))
(/.f64 (/.f64 -2 a2) th)
(/.f64 (/.f64 -2 th) a2)
(/.f64 (/.f64 -2 th) (*.f64 a2 th))
(pow.f64 (*.f64 a2 th) -2)
(pow.f64 (*.f64 a2 th) 1/3)
(neg.f64 (*.f64 a2 th))
(sqrt.f64 (*.f64 a2 th))
(fabs.f64 (*.f64 a2 th))
(log.f64 (pow.f64 (exp.f64 th) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 th))))
(log.f64 (/.f64 -2 (pow.f64 (exp.f64 th) a2)))
(cbrt.f64 (*.f64 a2 th))
(expm1.f64 (log1p.f64 (*.f64 a2 th)))
(exp.f64 (log.f64 (*.f64 a2 th)))
(exp.f64 (.f64 (log.f64 (.f64 a2 th)) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 th)))

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1024×	`log-prod`
914×	`associate-r`
858×	`distribute-lft-out`
722×	`associate-l`
636×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	5104
1	384	5056
2	952	4896
3	4318	4866
4	7319	4866

Stop Event

1×	node limit

Counts

330 → 191

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 a2 2) (pow.f64 th 4))))))
(+.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 6)))) (.f64 1/24 (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (pow.f64 th 4)))))))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 a2 2)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (pow.f64 a2 2) (cos.f64 th)))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(*.f64 (sqrt.f64 1/2) (pow.f64 a2 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 a2 (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(/.f64 (pow.f64 a2 2) (sqrt.f64 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 a2 2) (pow.f64 th 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 2))
(*.f64 (pow.f64 th 2) (pow.f64 a2 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 -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 -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 -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 -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 -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 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (/.f64 (.f64 (pow.f64 th 2) (pow.f64 a2 2)) (sqrt.f64 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 th 2) (pow.f64 a2 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(.f64 -1/2 (.f64 (pow.f64 a2 2) (pow.f64 th 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) a2))) -2)
(pow.f64 (*.f64 (cos.f64 th) a2) -2)
(pow.f64 (*.f64 (cos.f64 th) a2) 1/3)
(sqrt.f64 (*.f64 (cos.f64 th) a2))
(fabs.f64 (*.f64 (cos.f64 th) a2))
(log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 (cos.f64 th) a2))))
(cbrt.f64 (*.f64 (cos.f64 th) a2))
(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)) -2))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) a2)))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 0 a1)
(-.f64 (exp.f64 (log1p.f64 a1)) -2)
(*.f64 -2 a1)
(*.f64 a1 -2)
(*.f64 a1 a1)
(pow.f64 a1 -2)
(pow.f64 a1 1/3)
(neg.f64 a1)
(sqrt.f64 a1)
(fabs.f64 a1)
(log.f64 (exp.f64 a1))
(log.f64 (+.f64 -2 (expm1.f64 a1)))
(log.f64 (/.f64 -2 (exp.f64 a1)))
(cbrt.f64 a1)
(expm1.f64 (log1p.f64 a1))
(exp.f64 (log.f64 a1))
(exp.f64 (*.f64 (log.f64 a1) -2))
(log1p.f64 (expm1.f64 a1))
-2
-1
-1/2
-1/8
-1/512
1/512
1/64
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
64
512
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(+.f64 0 a2)
(-.f64 0 a2)
(-.f64 (exp.f64 (log1p.f64 a2)) -2)
(/.f64 a2 a2)
(/.f64 a2 -2)
(/.f64 a2 (/.f64 -2 a2))
(/.f64 a2 (+.f64 0 (+.f64 a2 (*.f64 0 a2))))
(/.f64 -2 (/.f64 -2 a2))
(pow.f64 a2 -2)
(pow.f64 a2 1/3)
(neg.f64 a2)
(sqrt.f64 a2)
(fabs.f64 a2)
(log.f64 (exp.f64 a2))
(log.f64 (+.f64 -2 (expm1.f64 a2)))
(cbrt.f64 a2)
(expm1.f64 (log1p.f64 a2))
(exp.f64 (log.f64 a2))
(exp.f64 (*.f64 (log.f64 a2) -2))
(log1p.f64 (expm1.f64 a2))
(-.f64 0 (*.f64 a2 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 th))) -2)
(/.f64 -2 (*.f64 a2 th))
(/.f64 th (/.f64 -2 a2))
(/.f64 (*.f64 a2 th) a2)
(/.f64 (*.f64 a2 th) -2)
(/.f64 (.f64 a2 th) (.f64 a2 th))
(/.f64 (/.f64 -2 a2) th)
(/.f64 (/.f64 -2 th) a2)
(/.f64 (/.f64 -2 th) (*.f64 a2 th))
(pow.f64 (*.f64 a2 th) -2)
(pow.f64 (*.f64 a2 th) 1/3)
(neg.f64 (*.f64 a2 th))
(sqrt.f64 (*.f64 a2 th))
(fabs.f64 (*.f64 a2 th))
(log.f64 (pow.f64 (exp.f64 th) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 th))))
(log.f64 (/.f64 -2 (pow.f64 (exp.f64 th) a2)))
(cbrt.f64 (*.f64 a2 th))
(expm1.f64 (log1p.f64 (*.f64 a2 th)))
(exp.f64 (log.f64 (*.f64 a2 th)))
(exp.f64 (.f64 (log.f64 (.f64 a2 th)) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 th)))
(-.f64 0 (*.f64 a2 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 th))) -2)
(*.f64 a2 th)
(.f64 a2 (.f64 a2 th))
(.f64 -2 (.f64 a2 th))
(*.f64 th a2)
(.f64 th (.f64 a2 th))
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) -2)
(.f64 (.f64 a2 th) th)
(.f64 (.f64 a2 th) (*.f64 a2 th))
(.f64 (.f64 a2 th) (/.f64 -2 a2))
(*.f64 (/.f64 -2 a2) (/.f64 -2 th))
(*.f64 (/.f64 th -2) a2)
(.f64 (/.f64 -2 th) (.f64 a2 th))
(*.f64 (/.f64 -2 th) (/.f64 -2 a2))
(*.f64 (neg.f64 th) a2)
(pow.f64 (*.f64 a2 th) -2)
(pow.f64 (*.f64 a2 th) 1/3)
(neg.f64 (*.f64 a2 th))
(sqrt.f64 (*.f64 a2 th))
(fabs.f64 (*.f64 a2 th))
(log.f64 (pow.f64 (exp.f64 th) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 th))))
(log.f64 (/.f64 -2 (pow.f64 (exp.f64 th) a2)))
(cbrt.f64 (*.f64 a2 th))
(expm1.f64 (log1p.f64 (*.f64 a2 th)))
(exp.f64 (log.f64 (*.f64 a2 th)))
(exp.f64 (.f64 (log.f64 (.f64 a2 th)) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 th)))
(-.f64 0 (*.f64 a2 th))
(-.f64 (exp.f64 (log1p.f64 (*.f64 a2 th))) -2)
(/.f64 -2 (*.f64 a2 th))
(/.f64 th (/.f64 -2 a2))
(/.f64 (*.f64 a2 th) a2)
(/.f64 (*.f64 a2 th) -2)
(/.f64 (.f64 a2 th) (.f64 a2 th))
(/.f64 (/.f64 -2 a2) th)
(/.f64 (/.f64 -2 th) a2)
(/.f64 (/.f64 -2 th) (*.f64 a2 th))
(pow.f64 (*.f64 a2 th) -2)
(pow.f64 (*.f64 a2 th) 1/3)
(neg.f64 (*.f64 a2 th))
(sqrt.f64 (*.f64 a2 th))
(fabs.f64 (*.f64 a2 th))
(log.f64 (pow.f64 (exp.f64 th) a2))
(log.f64 (+.f64 -2 (expm1.f64 (*.f64 a2 th))))
(log.f64 (/.f64 -2 (pow.f64 (exp.f64 th) a2)))
(cbrt.f64 (*.f64 a2 th))
(expm1.f64 (log1p.f64 (*.f64 a2 th)))
(exp.f64 (log.f64 (*.f64 a2 th)))
(exp.f64 (.f64 (log.f64 (.f64 a2 th)) -2))
(log1p.f64 (expm1.f64 (*.f64 a2 th)))

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

eval50.0ms (0.4%)

Compiler: Compiled 2017 to 1207 computations (40.2% saved)

prune64.0ms (0.5%)

Pruning

42 alts after pruning (33 fresh and 9 done)

	Pruned	Kept	Total
New	192	27	219
Fresh	4	6	10
Picked	2	3	5
Done	1	6	7
Total	199	42	241

Accurracy

100.0%

Counts

241 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.9%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
	2.9%	(/.f64 (/.f64 4 a2) th)
✓	99.3%	(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
✓	65.0%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	65.0%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	19.9%	(/.f64 a2 (/.f64 -2 a2))
	2.5%	(/.f64 a2 -2)
	5.5%	(/.f64 -2 (/.f64 -2 a2))
	13.3%	(*.f64 (/.f64 th -2) a2)
	19.9%	(*.f64 (/.f64 a2 -2) a2)
✓	65.2%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	65.2%	(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
	99.2%	(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
	99.3%	(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
✓	99.6%	(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	64.9%	(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
	15.3%	(.f64 (.f64 a2 th) th)
	30.1%	(.f64 (.f64 a2 th) a2)
✓	64.9%	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	64.2%	(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
✓	99.3%	(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (*.f64 a2 a2)))
	13.3%	(*.f64 (neg.f64 th) a2)
✓	99.3%	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	14.0%	(*.f64 th a2)
	2.6%	(*.f64 th -2)
✓	64.9%	(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
✓	64.9%	(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
	19.7%	(.f64 a2 (.f64 (neg.f64 a2) 1/4))
	19.6%	(.f64 a2 (.f64 (neg.f64 a2) 1/8))
	19.5%	(.f64 a2 (.f64 (neg.f64 a2) 1/16))
	44.1%	(.f64 a2 (.f64 (neg.f64 a2) -1/512))
	45.2%	(.f64 a2 (.f64 (neg.f64 a2) -1/8))
	46.4%	(.f64 a2 (.f64 (neg.f64 a2) -1/2))
	46.1%	(.f64 a2 (.f64 (neg.f64 a2) -1))
	2.5%	(*.f64 a2 -2)
	13.4%	(*.f64 a1 a1)
	2.4%	(*.f64 a1 -2)
	2.5%	(neg.f64 a2)
	2.4%	(neg.f64 a1)
	5.5%	a2
	3.6%	a1
	3.4%	1

Compiler

Compiled 860 to 533 computations (38% saved)

regimes328.0ms (2.7%)

Counts

61 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (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 a2 a2)))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (cos.f64 th))) 2)
(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 3)

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

Calls

8 calls:

149.0ms	a2
32.0ms	a1
30.0ms	th
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
23.0ms	(cos.f64 th)

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 546 to 291 computations (46.7% saved)

regimes276.0ms (2.3%)

Counts

56 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (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 a2 a2)))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.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:

73.0ms	th
55.0ms	a1
43.0ms	(*.f64 a1 a1)
27.0ms	a2
23.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 445 to 235 computations (47.2% saved)

regimes190.0ms (1.6%)

Counts

54 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (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 a2 a2)))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))

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

Calls

6 calls:

55.0ms	a1
37.0ms	(cos.f64 th)
30.0ms	th
26.0ms	a2
20.0ms	(*.f64 a2 a2)

Results

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

Compiler

Compiled 410 to 219 computations (46.6% saved)

regimes149.0ms (1.2%)

Counts

53 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (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 a2 a2)))
(.f64 (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))) (cos.f64 th))
(.f64 (.f64 (cos.f64 th) (sqrt.f64 1/2)) (*.f64 a2 a2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (cos.f64 th))
(.f64 (.f64 (*.f64 (cos.f64 th) (sqrt.f64 1/2)) a2) a2)
(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(/.f64 (.f64 (cos.f64 th) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (sqrt.f64 2))

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

Calls

6 calls:

32.0ms	th
26.0ms	a2
25.0ms	a1
23.0ms	(*.f64 a2 a2)
21.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
99.3%	1	`a1`
99.3%	1	`a2`
99.3%	1	`th`
99.3%	1	`(cos.f64 th)`
99.3%	1	`(*.f64 a1 a1)`
99.3%	1	`(*.f64 a2 a2)`

Compiler

Compiled 397 to 215 computations (45.8% saved)

regimes156.0ms (1.3%)

Counts

44 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))

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

Calls

6 calls:

60.0ms	a2
22.0ms	a1
21.0ms	th
17.0ms	(cos.f64 th)
15.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
99.2%	1	`a1`
99.2%	1	`a2`
99.2%	1	`th`
99.2%	1	`(cos.f64 th)`
99.2%	1	`(*.f64 a1 a1)`
99.2%	1	`(*.f64 a2 a2)`

Compiler

Compiled 316 to 178 computations (43.7% saved)

regimes385.0ms (3.2%)

Counts

43 → 5

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))
(.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (*.f64 a2 a2)))
(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 -1/2 (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (.f64 th th))))) 2)
(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)

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

Calls

5 calls:

113.0ms	a2
107.0ms	a1
96.0ms	th
30.0ms	(*.f64 a2 a2)
30.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
68.0%	3	`a1`
72.6%	5	`a2`
69.9%	4	`th`
68.0%	3	`(*.f64 a1 a1)`
67.2%	2	`(*.f64 a2 a2)`

Compiler

Compiled 302 to 168 computations (44.4% saved)

regimes42.0ms (0.4%)

Counts

39 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 -1/2 (.f64 (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(/.f64 (.f64 -1/2 (.f64 (.f64 th th) (.f64 a2 a2))) (sqrt.f64 2))

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

Calls

2 calls:

20.0ms	a2
15.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
65.2%	1	`(*.f64 a2 a2)`
65.2%	1	`a2`

Compiler

Compiled 227 to 127 computations (44.1% saved)

regimes135.0ms (1.1%)

Counts

35 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
(.f64 a2 (.f64 (neg.f64 a2) (/.f64 1 (neg.f64 (sqrt.f64 2)))))

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

Calls

3 calls:

77.0ms	th
17.0ms	a2
14.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
69.6%	4	`th`
65.0%	1	`a2`
65.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 185 to 108 computations (41.6% saved)

regimes106.0ms (0.9%)

Counts

31 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

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

Calls

3 calls:

71.0ms	th
15.0ms	a2
14.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
69.6%	4	`th`
65.0%	1	`a2`
65.0%	1	`(*.f64 a2 a2)`

Compiler

Compiled 153 to 87 computations (43.1% saved)

regimes33.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 1/2) a2) a2)

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

Calls

2 calls:

15.0ms	a2
13.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
64.9%	1	`a2`
64.9%	1	`(*.f64 a2 a2)`

Compiler

Compiled 137 to 77 computations (43.8% saved)

regimes19.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))

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

Calls

1 calls:

13.0ms

a2

Results

Accuracy	Segments	Branch
64.9%	1	`a2`

Compiler

Compiled 119 to 65 computations (45.4% saved)

regimes97.0ms (0.8%)

Counts

26 → 1

Calls

Call 1

Inputs
1
a1
a2
(neg.f64 a1)
(neg.f64 a2)
(*.f64 a1 -2)
(*.f64 a1 a1)
(*.f64 a2 -2)
(*.f64 th -2)
(*.f64 th a2)
(/.f64 a2 -2)
(*.f64 (neg.f64 th) a2)
(.f64 (.f64 a2 th) a2)
(.f64 (.f64 a2 th) th)
(*.f64 (/.f64 a2 -2) a2)
(*.f64 (/.f64 th -2) a2)
(/.f64 -2 (/.f64 -2 a2))
(/.f64 a2 (/.f64 -2 a2))
(/.f64 (/.f64 4 a2) th)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 (neg.f64 a2) -1/8))
(.f64 a2 (.f64 (neg.f64 a2) -1/512))
(.f64 a2 (.f64 (neg.f64 a2) 1/16))
(.f64 a2 (.f64 (neg.f64 a2) 1/8))
(.f64 a2 (.f64 (neg.f64 a2) 1/4))

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

Calls

4 calls:

59.0ms	th
14.0ms	a2
13.0ms	a1
7.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
46.4%	1	`a1`
46.4%	1	`(*.f64 a1 a1)`
51.0%	4	`th`
46.4%	1	`a2`

Compiler

Compiled 127 to 71 computations (44.1% saved)

regimes73.0ms (0.6%)

Counts

20 → 4

Calls

Call 1

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

Outputs
(.f64 a2 (.f64 (neg.f64 a2) -1))
(*.f64 (/.f64 a2 -2) a2)
(.f64 a2 (.f64 (neg.f64 a2) -1))
(*.f64 (/.f64 a2 -2) a2)

Calls

4 calls:

38.0ms	th
14.0ms	a1
11.0ms	a2
6.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
50.8%	4	`th`
46.1%	1	`a2`
46.1%	1	`a1`
46.1%	1	`(*.f64 a1 a1)`

Compiler

Compiled 91 to 53 computations (41.8% saved)

regimes117.0ms (1%)

Counts

19 → 2

Calls

Call 1

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

Outputs
(.f64 (.f64 a2 th) a2)
(*.f64 (/.f64 a2 -2) a2)

Calls

4 calls:

43.0ms	a2
29.0ms	a1
27.0ms	th
14.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
34.8%	4	`a2`
32.1%	3	`a1`
32.1%	3	`(*.f64 a1 a1)`
34.6%	2	`th`

Compiler

Compiled 85 to 50 computations (41.2% saved)

regimes47.0ms (0.4%)

Counts

14 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 a2 th) a2)

Calls

2 calls:

35.0ms	th
10.0ms	a2

Results

Accuracy	Segments	Branch
30.1%	1	`a2`
34.1%	4	`th`

Compiler

Compiled 50 to 27 computations (46% saved)

regimes105.0ms (0.9%)

Counts

12 → 5

Calls

Call 1

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

Outputs
(*.f64 a1 a1)
(*.f64 th a2)
(*.f64 (neg.f64 th) a2)
(*.f64 th a2)
(*.f64 (neg.f64 th) a2)

Calls

4 calls:

38.0ms	th
35.0ms	a2
20.0ms	a1
10.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
21.0%	3	`(*.f64 a1 a1)`
21.0%	3	`a1`
24.2%	5	`th`
20.8%	5	`a2`

Compiler

Compiled 50 to 31 computations (38% saved)

regimes15.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(*.f64 a1 a1)
(*.f64 th a2)

Calls

1 calls:

13.0ms

th

Results

Accuracy	Segments	Branch
19.9%	2	`th`

Compiler

Compiled 32 to 19 computations (40.6% saved)

regimes23.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(*.f64 a1 a1)

Calls

4 calls:

6.0ms	a1
6.0ms	th
6.0ms	a2
3.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
13.4%	1	`a2`
13.4%	1	`a1`
13.4%	1	`(*.f64 a1 a1)`
13.4%	1	`th`

Compiler

Compiled 40 to 26 computations (35% saved)

regimes16.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
a2

Calls

3 calls:

6.0ms	a2
5.0ms	th
5.0ms	a1

Results

Accuracy	Segments	Branch
5.5%	1	`a2`
5.5%	1	`th`
5.5%	1	`a1`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes10.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
1
a1

Outputs
a1

Calls

3 calls:

3.0ms	a1
3.0ms	th
3.0ms	a2

Results

Accuracy	Segments	Branch
3.6%	1	`a2`
3.6%	1	`th`
3.6%	1	`a1`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes9.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

3 calls:

3.0ms	a2
2.0ms	th
2.0ms	a1

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch85.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	3.1483306399987842e+295	1.4578854156767993e+298
15.0ms	1.2537214458890533e+279	3.387516154471605e+282
29.0ms	1.4295069436420872e+260	1.7476059348049514e+262
33.0ms	1.832804679940857e+168	1.1066687064822994e+172

Results

35.0ms	86×	body	1024	infinite
32.0ms	197×	body	256	infinite
13.0ms	37×	body	512	infinite

Compiler

Compiled 620 to 476 computations (23.2% saved)

bsearch125.0ms (1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
54.0ms	3.691909124613747e+209	5.885430839520261e+212
46.0ms	6.489180918665953e+154	1.3942582343208778e+156
24.0ms	1.3736151091135303e+76	5.098381709572258e+77

Results

48.0ms	120×	body	1024	infinite
47.0ms	112×	body	1024	valid
9.0ms	29×	body	512	valid
9.0ms	53×	body	256	infinite
6.0ms	38×	body	256	valid

Compiler

Compiled 446 to 350 computations (21.5% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.3736151091135303e+76	5.098381709572258e+77

Results

10.0ms	49×	body	256	infinite
7.0ms	24×	body	512	valid
6.0ms	39×	body	256	valid

Compiler

Compiled 154 to 111 computations (27.9% saved)

bsearch223.0ms (1.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
91.0ms	3.691909124613747e+209	5.885430839520261e+212
46.0ms	6.489180918665953e+154	1.3942582343208778e+156
47.0ms	7.688320632253518e+109	8.570664123070273e+110
39.0ms	7.742286379339027e+21	7.95018361263137e+24

Results

90.0ms	124×	body	1024	valid
42.0ms	106×	body	1024	infinite
35.0ms	52×	body	512	valid
31.0ms	86×	body	256	valid
11.0ms	40×	body	512	infinite
9.0ms	56×	body	256	infinite

Compiler

Compiled 455 to 331 computations (27.3% saved)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.742286379339027e+21	7.95018361263137e+24

Results

14.0ms	66×	body	256	infinite
10.0ms	62×	body	256	valid

Compiler

Compiled 140 to 100 computations (28.6% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

386×	`distribute-lft-neg-in`
214×	`neg-mul-1`
200×	`neg-sub0`
180×	`unsub-neg`
140×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	689
1	132	643
2	169	635
3	209	623
4	283	623
5	439	623
6	580	623
7	711	623
8	833	623
9	917	623
10	981	623
11	1047	623
12	1112	623
13	1163	623
14	1194	623
15	1205	623
16	1207	623

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a2 7999999999999999631777653837254961693863901709912805678645932425570325706279566505666707821649331298989808014800429304084697344745391112591282261786588668297158868076593152) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 1/2)) (if (<=.f64 a2 7600000000000000332671175701215616692457552751584684240319302075921887124152712857994761030185321779419966794884925479050594668987890223234095239540030712919382698392774671365069792439589299038988197609505359600083851358771476805155740866951607987983250255511552) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))) (if (<=.f64 a2 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a2 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 a2 (.f64 (neg.f64 a2) -1)) (if (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (.f64 (/.f64 a2 -2) a2) (if (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328) (.f64 a2 (.f64 (neg.f64 a2) -1)) (.f64 (/.f64 a2 -2) a2))))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 (.f64 a2 th) a2) (*.f64 (/.f64 a2 -2) a2))
(.f64 (.f64 a2 th) a2)
(if (<=.f64 th 4800000000000000134217728) (.f64 a1 a1) (if (<=.f64 th 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) (.f64 th a2) (if (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (.f64 (neg.f64 th) a2) (if (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328) (.f64 th a2) (*.f64 (neg.f64 th) a2)))))
(if (<=.f64 th 3199999999999999731564544) (.f64 a1 a1) (.f64 th a2))
(*.f64 a1 a1)
a2
a1
1

Outputs
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (.f64 (sqrt.f64 1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
(.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (.f64 (cos.f64 th) (sqrt.f64 1/2)))
(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(.f64 (cos.f64 th) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 7999999999999999631777653837254961693863901709912805678645932425570325706279566505666707821649331298989808014800429304084697344745391112591282261786588668297158868076593152) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 1/2)) (if (<=.f64 a2 7600000000000000332671175701215616692457552751584684240319302075921887124152712857994761030185321779419966794884925479050594668987890223234095239540030712919382698392774671365069792439589299038988197609505359600083851358771476805155740866951607987983250255511552) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))) (if (<=.f64 a2 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (if (<=.f64 a2 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))))
(if (<=.f64 a2 7999999999999999631777653837254961693863901709912805678645932425570325706279566505666707821649331298989808014800429304084697344745391112591282261786588668297158868076593152) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (if (<=.f64 a2 7600000000000000332671175701215616692457552751584684240319302075921887124152712857994761030185321779419966794884925479050594668987890223234095239540030712919382698392774671365069792439589299038988197609505359600083851358771476805155740866951607987983250255511552) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (+.f64 (.f64 -1/2 (.f64 th th)) 1))) (if (or (<=.f64 a2 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (not (<=.f64 a2 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (+.f64 (.f64 -1/2 (.f64 th th)) 1))))))
(if (<=.f64 a2 7999999999999999631777653837254961693863901709912805678645932425570325706279566505666707821649331298989808014800429304084697344745391112591282261786588668297158868076593152) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (if (or (<=.f64 a2 7600000000000000332671175701215616692457552751584684240319302075921887124152712857994761030185321779419966794884925479050594668987890223234095239540030712919382698392774671365069792439589299038988197609505359600083851358771476805155740866951607987983250255511552) (not (or (<=.f64 a2 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136) (not (<=.f64 a2 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696))))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (+.f64 (.f64 -1/2 (.f64 th th)) 1))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(if (<=.f64 a2 7999999999999999631777653837254961693863901709912805678645932425570325706279566505666707821649331298989808014800429304084697344745391112591282261786588668297158868076593152) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (if (or (<=.f64 a2 7600000000000000332671175701215616692457552751584684240319302075921887124152712857994761030185321779419966794884925479050594668987890223234095239540030712919382698392774671365069792439589299038988197609505359600083851358771476805155740866951607987983250255511552) (and (not (<=.f64 a2 2000000000000000115946584549920787526531725137091400073210440771302776217438364873893098539136974033420682012037693472867184896365800368488769480110480747637096185650992649367430973409239440062953984512950528056418729875580298721687641670532014998559037646690749059730134464987136)) (<=.f64 a2 1000000000000000017652801462756379714374878780719864776839443139119744823869255243069012222883470359078822072829219411228534934402712624705615450492327979456500795456339201761949451160807447294527656222743617592048849967890105831362861792425329827928397252374398383022243308510390698430058459037696))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 a2 a2) (+.f64 (.f64 -1/2 (.f64 th th)) 1))) (*.f64 a2 (/.f64 a2 (sqrt.f64 2)))))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 1/2))
(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
(*.f64 a2 (/.f64 a2 (sqrt.f64 2)))
(.f64 a2 (.f64 (neg.f64 a2) -1/2))
(.f64 a2 (.f64 -1/2 (neg.f64 a2)))
(.f64 a2 (.f64 a2 (neg.f64 -1/2)))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 a2 (.f64 (neg.f64 a2) -1)) (if (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (.f64 (/.f64 a2 -2) a2) (if (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328) (.f64 a2 (.f64 (neg.f64 a2) -1)) (.f64 (/.f64 a2 -2) a2))))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 a2 (.f64 (neg.f64 a2) -1)) (if (or (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (not (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))) (.f64 a2 (/.f64 a2 -2)) (.f64 a2 (*.f64 (neg.f64 a2) -1))))
(if (or (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (not (or (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (not (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))))) (.f64 a2 (neg.f64 (neg.f64 a2))) (.f64 a2 (/.f64 a2 -2)))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 a2 a2) (if (or (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (not (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))) (.f64 a2 (/.f64 a2 -2)) (*.f64 a2 a2)))
(if (or (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (and (not (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824)) (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))) (.f64 a2 a2) (.f64 a2 (/.f64 a2 -2)))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 (.f64 a2 th) a2) (*.f64 (/.f64 a2 -2) a2))
(if (<=.f64 th 77999999999999997885713531348261636003101358553174350881443156754152139259904) (.f64 a2 (.f64 th a2)) (*.f64 a2 (/.f64 a2 -2)))
(.f64 (.f64 a2 th) a2)
(.f64 a2 (.f64 th a2))
(if (<=.f64 th 4800000000000000134217728) (.f64 a1 a1) (if (<=.f64 th 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) (.f64 th a2) (if (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (.f64 (neg.f64 th) a2) (if (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328) (.f64 th a2) (*.f64 (neg.f64 th) a2)))))
(if (<=.f64 th 4800000000000000134217728) (.f64 a1 a1) (if (<=.f64 th 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) (.f64 th a2) (if (or (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (not (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))) (.f64 a2 (neg.f64 th)) (.f64 th a2))))
(if (<=.f64 th 4800000000000000134217728) (.f64 a1 a1) (if (<=.f64 th 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) (.f64 th a2) (if (or (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824) (not (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))) (.f64 th (neg.f64 a2)) (.f64 th a2))))
(if (<=.f64 th 4800000000000000134217728) (.f64 a1 a1) (if (or (<=.f64 th 129999999999999999726538033215711254580217847467469463140162813922606663858348513015561895474767576923222573056) (and (not (<=.f64 th 320000000000000011823214620178632493113893754554966030461528913668817397099111027110928419510573066478288376117991445354058784107186348933473478158344781824)) (<=.f64 th 360000000000000012304460008636363213936138260142218875143207570531224365266326011688557513986731737214175691312926207131216475039696855702378267965644905249925974499608757318730697222045542844958730866873050595328))) (.f64 th a2) (*.f64 th (neg.f64 a2))))
(if (<=.f64 th 3199999999999999731564544) (.f64 a1 a1) (.f64 th a2))
(*.f64 a1 a1)
a2
a1
1

Compiler

Compiled 289 to 204 computations (29.4% saved)

soundness3.6s (30%)

Rules

1522×	`log-prod`
1522×	`log-prod`
1514×	`fma-def`
1304×	`associate-r`
1304×	`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
0	705	37052
1	1843	32766
0	751	18378
1	2019	17164
2	7184	17164
0	27	238
1	583	220
2	7411	220
0	28	167
1	586	167
0	196	5104
1	384	5056
2	952	4896
3	4318	4866
4	7319	4866
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	751	18378
1	2019	17164
2	7184	17164
0	28	167
1	586	167
0	196	5104
1	384	5056
2	952	4896
3	4318	4866
4	7319	4866
0	28	167
1	586	167
0	196	5104
1	384	5056
2	952	4896
3	4318	4866
4	7319	4866
0	28	167
1	586	167
0	751	18378
1	2019	17164
2	7184	17164
0	598	11784
1	1556	11354
2	6944	11354
0	28	167
1	586	167
0	28	167
1	586	167
0	28	167
1	586	167
0	28	167
1	586	167
0	196	5104
1	384	5056
2	952	4896
3	4318	4866
4	7319	4866
0	751	18378
1	2019	17164
2	7184	17164
0	28	210
1	596	208
2	7889	208
0	28	167
1	586	167
0	28	167
1	586	167
0	28	210
1	596	208
2	7889	208
0	21	244
1	462	232
2	5864	232
0	751	18378
1	2019	17164
2	7184	17164
0	598	11784
1	1556	11354
2	6944	11354
0	705	37052
1	1843	32766
0	705	37052
1	1843	32766

Stop Event

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

Compiler

Compiled 775 to 487 computations (37.2% saved)

end179.0ms (1.5%)

Remove

(sort a1 a2)

(abs th)

(abs a2)

(abs a1)

Compiler

Compiled 622 to 348 computations (44.1% saved)

analyze0.0ms (0%)

sample2.0s (16.6%)

preprocess192.0ms (1.6%)

simplify7.0ms (0.1%)

eval1.0ms (0%)

prune10.0ms (0.1%)

localize181.0ms (1.5%)

series27.0ms (0.2%)

rewrite163.0ms (1.4%)

simplify222.0ms (1.9%)

eval207.0ms (1.7%)

prune113.0ms (0.9%)

localize229.0ms (1.9%)

series17.0ms (0.1%)

rewrite134.0ms (1.1%)

simplify197.0ms (1.6%)

eval179.0ms (1.5%)

prune169.0ms (1.4%)

localize217.0ms (1.8%)

series12.0ms (0.1%)

rewrite131.0ms (1.1%)

simplify151.0ms (1.3%)

eval134.0ms (1.1%)

prune109.0ms (0.9%)

localize218.0ms (1.8%)

series8.0ms (0.1%)

rewrite47.0ms (0.4%)

simplify129.0ms (1.1%)

eval50.0ms (0.4%)

prune64.0ms (0.5%)

regimes328.0ms (2.7%)

regimes276.0ms (2.3%)

regimes190.0ms (1.6%)

regimes149.0ms (1.2%)

regimes156.0ms (1.3%)

regimes385.0ms (3.2%)

regimes42.0ms (0.4%)

regimes135.0ms (1.1%)

regimes106.0ms (0.9%)

regimes33.0ms (0.3%)

regimes19.0ms (0.2%)

regimes97.0ms (0.8%)

regimes73.0ms (0.6%)

regimes117.0ms (1%)

regimes47.0ms (0.4%)

regimes105.0ms (0.9%)

regimes15.0ms (0.1%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch85.0ms (0.7%)

bsearch125.0ms (1%)

bsearch24.0ms (0.2%)

bsearch223.0ms (1.9%)

bsearch26.0ms (0.2%)

simplify79.0ms (0.7%)

soundness3.6s (30%)

end179.0ms (1.5%)

Profiling