Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample2.1s (12%)

Results

496.0ms	3077×	body	256	valid
491.0ms	1057×	body	1024	valid
420.0ms	2280×	body	256	infinite
367.0ms	908×	body	1024	infinite
146.0ms	517×	body	512	valid
113.0ms	415×	body	512	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess25.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
0
2

Call 2

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

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

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

99.7%

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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 31 to 21 computations (32.3% saved)

localize86.0ms (0.5%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	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 42 to 17 computations (59.5% saved)

series10.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 129

Calls

Call 1

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

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

localize73.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 43 to 18 computations (58.1% saved)

series5.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	300	61
2	4088	61

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

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

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

238 → 250

Calls

Call 1

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

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

eval177.0ms (1%)

Compiler: Compiled 7699 to 4301 computations (44.1% saved)

prune66.0ms (0.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	363	16	379
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	364	17	381

Accurracy

100.0%

Counts

381 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.6%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	56.6%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
▶	57.8%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	56.2%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	57.7%	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	99.3%	(/.f64 (cos.f64 th) (*.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) -2)))
	56.5%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
▶	57.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
	99.6%	(.f64 (/.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (pow.f64 2 1/4)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	57.8%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	71.5%	(.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)))
	56.5%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶	99.6%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
	78.5%	(.f64 (cos.f64 th) (sqrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)))

Compiler

Compiled 476 to 353 computations (25.8% saved)

localize125.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
✓	99.7%	(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
✓	99.2%	(*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))

Compiler

Compiled 49 to 26 computations (46.9% saved)

series24.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	a2	@	0	(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
3.0ms	a1	@	0	(.f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))
2.0ms	a1	@	0	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
2.0ms	a2	@	0	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))
1.0ms	a1	@	inf	(.f64 (cos.f64 th) (.f64 (hypot.f64 a1 a2) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2))))

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`log-prod`
896×	`pow-prod-down`
640×	`pow-prod-up`
562×	`pow-exp`
540×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	91
1	285	73
2	3291	73

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

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

simplify291.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1640×	`times-frac`
1340×	`associate-+r+`
844×	`unswap-sqr`
776×	`fma-def`
478×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	8623
1	1216	7837
2	4335	6851

Stop Event

1×	node limit

Counts

147 → 211

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 1/2) a2)
(+.f64 (.f64 (sqrt.f64 1/2) a2) (.f64 1/2 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) a2)))
(fma.f64 (sqrt.f64 1/2) a2 (.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1)))))
(fma.f64 (sqrt.f64 1/2) a2 (/.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (*.f64 a1 a1)) a2))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (.f64 (sqrt.f64 1/2) a2))
(+.f64 (.f64 (sqrt.f64 1/2) a2) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) a2)) (.f64 -1/8 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 4)) (pow.f64 a2 3)))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (/.f64 (.f64 -1/8 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 4))) (pow.f64 a2 3))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (/.f64 (pow.f64 a2 3) (sqrt.f64 1/2))) (/.f64 (.f64 (.f64 1/2 (sqrt.f64 1/2)) (*.f64 a1 a1)) a2)))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 -1/8 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 a2 3)) (pow.f64 a1 4)) (/.f64 (.f64 (.f64 1/2 (.f64 a1 a1)) (sqrt.f64 1/2)) a2)))
(+.f64 (.f64 (sqrt.f64 1/2) a2) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 2)) a2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a1 4)) (pow.f64 a2 3))) (.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a1 6)) (pow.f64 a2 5))))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a2 3) (pow.f64 a1 4))) (.f64 1/16 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a2 5) (pow.f64 a1 6)))))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 1/2) a2) (.f64 a1 a1)) (fma.f64 -1/8 (/.f64 (pow.f64 a1 4) (/.f64 (pow.f64 a2 3) (sqrt.f64 1/2))) (/.f64 1/16 (/.f64 (pow.f64 a2 5) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 6)))))))
(fma.f64 (sqrt.f64 1/2) a2 (fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a2 (.f64 a1 a1))) (fma.f64 -1/8 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 a2 3)) (pow.f64 a1 4)) (/.f64 1/16 (/.f64 (pow.f64 a2 5) (*.f64 (sqrt.f64 1/2) (pow.f64 a1 6)))))))
(*.f64 (sqrt.f64 1/2) a1)
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (*.f64 (sqrt.f64 1/2) a1))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (.f64 (sqrt.f64 1/2) a1))
(fma.f64 (sqrt.f64 1/2) a1 (/.f64 (.f64 1/2 (sqrt.f64 1/2)) (/.f64 a1 (.f64 a2 a2))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 4)) (pow.f64 a1 3))) (*.f64 (sqrt.f64 1/2) a1)))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (.f64 (sqrt.f64 1/2) a1)))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 1/2) a1) (.f64 a2 a2)) (fma.f64 (sqrt.f64 1/2) a1 (.f64 -1/8 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 a1 3)) (pow.f64 a2 4)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (fma.f64 -1/8 (.f64 (/.f64 (sqrt.f64 1/2) (pow.f64 a1 3)) (pow.f64 a2 4)) (*.f64 (sqrt.f64 1/2) a1)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 2)) a1)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 1/2) (pow.f64 a2 4)) (pow.f64 a1 3))) (+.f64 (.f64 (sqrt.f64 1/2) a1) (.f64 1/16 (/.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 a2 6)) (pow.f64 a1 5))))))
(fma.f64 1/2 (/.f64 (sqrt.f64 1/2) (/.f64 a1 (.f64 a2 a2))) (fma.f64 -1/8 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 3) (pow.f64 a2 4))) (fma.f64 (sqrt.f64 1/2) a1 (.f64 1/16 (/.f64 (sqrt.f64 1/2) (/.f64 (pow.f64 a1 5) (pow.f64 a2 6)))))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 6))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 2)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))) 1) 1))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2)))) 3))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 6)) 1/3))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 6))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 2)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4))) 2))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 6))
(pow.f64 (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) 2)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (sqrt.f64 1/2) (pow.f64 (hypot.f64 a1 a2) 2))
(+.f64 0 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))))) 1)
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 1)
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 3)
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)) 1/2)
(sqrt.f64 (.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (.f64 1/2 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) (pow.f64 (cos.f64 th) 2))))
(pow.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 3) 1/3)
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (.f64 (sqrt.f64 (cos.f64 th)) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4))) 2)
(pow.f64 (.f64 (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (.f64 (hypot.f64 a1 a2) (.f64 (pow.f64 2 -1/4) (sqrt.f64 (cos.f64 th)))) 2)
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 th) 2) (.f64 (pow.f64 (hypot.f64 a1 a2) 4) 1/2)))
(sqrt.f64 (.f64 (.f64 1/2 (pow.f64 (hypot.f64 a1 a2) 4)) (pow.f64 (cos.f64 th) 2)))
(sqrt.f64 (.f64 1/2 (.f64 (pow.f64 (hypot.f64 a1 a2) 4) (pow.f64 (cos.f64 th) 2))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (cos.f64 th)) (sqrt.f64 1/2)) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))))))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th))) 3))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))) 1) 1))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))))) 3))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (*.f64 (sqrt.f64 1/2) (cos.f64 th))) 3)) 1/3))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)))) 2))
(pow.f64 (.f64 (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/4)) (sqrt.f64 (cos.f64 th))) 2)
(pow.f64 (.f64 (hypot.f64 a1 a2) (.f64 (pow.f64 2 -1/4) (sqrt.f64 (cos.f64 th)))) 2)
(.f64 (cos.f64 th) (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (.f64 (sqrt.f64 1/2) (cos.f64 th)))
(.f64 (sqrt.f64 1/2) (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2)))

localize201.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 32 to 13 computations (59.4% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite126.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	234	36
2	3046	36

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1308×	`times-frac`
974×	`associate-/l*`
834×	`fma-neg`
764×	`log-prod`
604×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	4011
1	591	3921
2	1790	3873
3	7128	3873

Stop Event

1×	node limit

Counts

149 → 140

Calls

Call 1

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

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

localize70.0ms (0.4%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
✓	99.8%	(*.f64 a1 (cos.f64 th))
✓	99.2%	(/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series9.0ms (0.1%)

Counts

3 → 32

Calls

18 calls:

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

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`log-prod`
694×	`pow-prod-down`
528×	`pow-prod-up`
482×	`pow-exp`
462×	`pow-unpow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	232	59
2	3117	59

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1020×	`unswap-sqr`
868×	`associate-/r/`
684×	`log-prod`
428×	`associate-r`
344×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	4830
1	927	4632
2	3387	4572

Stop Event

1×	node limit

Counts

160 → 196

Calls

Call 1

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

Outputs
(/.f64 (sqrt.f64 2) a1)
(+.f64 (/.f64 (sqrt.f64 2) a1) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) a1)))
(+.f64 (/.f64 (sqrt.f64 2) a1) (.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 a1 (.f64 th th)))))
(fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 a1 (*.f64 th th))) (/.f64 (sqrt.f64 2) a1))
(fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) a1) (.f64 th th)) (/.f64 (sqrt.f64 2) a1))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) a1)) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) a1)) (.f64 -1/4 (/.f64 (sqrt.f64 2) a1))) (pow.f64 th 4)))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 a1 (.f64 th th))) (neg.f64 (.f64 (*.f64 (/.f64 (sqrt.f64 2) a1) -5/24) (pow.f64 th 4)))))
(-.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 a1 (.f64 th th))) (/.f64 (sqrt.f64 2) a1)) (.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -5/24 (pow.f64 th 4))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 (.f64 (/.f64 (sqrt.f64 2) a1) 5/24) (pow.f64 th 4) (/.f64 (.f64 (.f64 1/2 (.f64 th th)) (sqrt.f64 2)) a1)))
(+.f64 (/.f64 (sqrt.f64 2) a1) (+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) a1)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/720 (/.f64 (sqrt.f64 2) a1)) (+.f64 (.f64 1/48 (/.f64 (sqrt.f64 2) a1)) (.f64 1/2 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) a1)) (.f64 -1/4 (/.f64 (sqrt.f64 2) a1)))))) (pow.f64 th 6))) (.f64 -1 (.f64 (+.f64 (.f64 1/24 (/.f64 (sqrt.f64 2) a1)) (*.f64 -1/4 (/.f64 (sqrt.f64 2) a1))) (pow.f64 th 4))))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 a1 (.f64 th th))) (fma.f64 -1 (.f64 (fma.f64 -1/720 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/48 (/.f64 (sqrt.f64 2) a1) (.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) a1) -5/24)))) (pow.f64 th 6)) (neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) a1) -5/24) (pow.f64 th 4))))))
(+.f64 (/.f64 (sqrt.f64 2) a1) (fma.f64 1/2 (/.f64 (sqrt.f64 2) (/.f64 a1 (.f64 th th))) (neg.f64 (fma.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 2) a1) -5/48) (.f64 (/.f64 (sqrt.f64 2) a1) 7/360)) (pow.f64 th 6) (.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -5/24 (pow.f64 th 4)))))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (sqrt.f64 2) a1) (.f64 th th)) (/.f64 (sqrt.f64 2) a1)) (fma.f64 (.f64 (/.f64 (sqrt.f64 2) a1) -61/720) (pow.f64 th 6) (.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 -5/24 (pow.f64 th 4)))))
a1
(+.f64 a1 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))))
(+.f64 a1 (.f64 -1/2 (.f64 a1 (*.f64 th th))))
(fma.f64 -1/2 (.f64 a1 (.f64 th th)) a1)
(+.f64 a1 (+.f64 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))) (.f64 1/24 (.f64 a1 (pow.f64 th 4)))))
(+.f64 a1 (fma.f64 -1/2 (.f64 a1 (.f64 th th)) (.f64 (.f64 1/24 a1) (pow.f64 th 4))))
(+.f64 a1 (fma.f64 1/24 (.f64 a1 (pow.f64 th 4)) (.f64 a1 (.f64 (.f64 th th) -1/2))))
(+.f64 a1 (.f64 a1 (+.f64 (.f64 (.f64 th th) -1/2) (.f64 (pow.f64 th 4) 1/24))))
(+.f64 a1 (+.f64 (.f64 -1/720 (.f64 a1 (pow.f64 th 6))) (+.f64 (.f64 -1/2 (.f64 a1 (pow.f64 th 2))) (.f64 1/24 (.f64 a1 (pow.f64 th 4))))))
(+.f64 a1 (fma.f64 -1/720 (.f64 a1 (pow.f64 th 6)) (fma.f64 -1/2 (.f64 a1 (.f64 th th)) (.f64 (*.f64 1/24 a1) (pow.f64 th 4)))))
(+.f64 a1 (fma.f64 -1/720 (.f64 a1 (pow.f64 th 6)) (fma.f64 1/24 (.f64 a1 (pow.f64 th 4)) (.f64 a1 (.f64 (*.f64 th th) -1/2)))))
(+.f64 (fma.f64 -1/2 (.f64 a1 (.f64 th th)) a1) (.f64 a1 (+.f64 (.f64 1/24 (pow.f64 th 4)) (*.f64 -1/720 (pow.f64 th 6)))))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (pow.f64 a1 2) (sqrt.f64 2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2)))
(fma.f64 -1/2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (.f64 th th))) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 -1/2 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (.f64 th th)) a1))))
(fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 (/.f64 (.f64 -1/2 (.f64 a1 a1)) (sqrt.f64 2)) (.f64 th th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 2)) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (.f64 (pow.f64 a1 2) (pow.f64 th 4)) (sqrt.f64 2))) (/.f64 (pow.f64 a1 2) (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (.f64 th th))) (fma.f64 1/24 (/.f64 (.f64 a1 a1) (/.f64 (sqrt.f64 2) (pow.f64 th 4))) (.f64 a1 (/.f64 a1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (.f64 th th)) a1)) (fma.f64 a1 (/.f64 a1 (sqrt.f64 2)) (.f64 1/24 (/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 th 4)) a1)))))
(fma.f64 -1/2 (.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (.f64 th th)) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (.f64 a1 a1)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
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(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 1 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (cbrt.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) (pow.f64 (cbrt.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2) (cbrt.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) (sqrt.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (neg.f64 a1) (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))))
(/.f64 (.f64 (neg.f64 a1) 1) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (cos.f64 th))))
(.f64 (.f64 a1 (neg.f64 (cos.f64 th))) (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) a1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 a1 (sqrt.f64 2)) (.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (pow.f64 2 -1/2) (/.f64 a1 (/.f64 (/.f64 1 a1) (cos.f64 th))))
(.f64 (pow.f64 2 -1/2) (.f64 (/.f64 a1 (/.f64 1 a1)) (cos.f64 th)))
(.f64 (.f64 a1 a1) (*.f64 (cos.f64 th) (pow.f64 2 -1/2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) -2) (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))))
(.f64 (pow.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))) -1/2) (/.f64 a1 (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 a1) (/.f64 (/.f64 1 a1) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (.f64 2 (pow.f64 (.f64 a1 (cos.f64 th)) -2)))) (cbrt.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(.f64 (cbrt.f64 (.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (.f64 2 (pow.f64 (*.f64 a1 (cos.f64 th)) -2)))))
(.f64 (cbrt.f64 (/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (.f64 2 (pow.f64 (*.f64 a1 (cos.f64 th)) -2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))))) (/.f64 (cbrt.f64 a1) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(*.f64 (/.f64 (sqrt.f64 a1) (sqrt.f64 2)) (/.f64 (sqrt.f64 a1) (/.f64 (/.f64 1 a1) (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (.f64 2 (pow.f64 (.f64 a1 (cos.f64 th)) -2)))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))))))
(/.f64 (/.f64 a1 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))))) (cbrt.f64 (.f64 2 (pow.f64 (*.f64 a1 (cos.f64 th)) -2))))
(.f64 (/.f64 a1 1) (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) 1) (*.f64 a1 (cos.f64 th)))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (pow.f64 (cbrt.f64 (.f64 a1 (cos.f64 th))) 2)) (cbrt.f64 (.f64 a1 (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) (sqrt.f64 (.f64 a1 (cos.f64 th)))) (sqrt.f64 (.f64 a1 (cos.f64 th))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))) (.f64 a1 (neg.f64 (cos.f64 th))))
(/.f64 (.f64 (neg.f64 a1) 1) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (cos.f64 th))))
(.f64 (.f64 a1 (neg.f64 (cos.f64 th))) (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (cbrt.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (pow.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 2) 1/2)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (pow.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3) 1/3)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (sqrt.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 2)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 a1 (cos.f64 th))) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(pow.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) -3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) -3)))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) -3)))
(pow.f64 (/.f64 (/.f64 (/.f64 (sqrt.f64 2) a1) (*.f64 a1 (cos.f64 th))) 1) -1)
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(neg.f64 (/.f64 a1 (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 (cos.f64 th)))))
(/.f64 (.f64 (neg.f64 a1) 1) (/.f64 (neg.f64 (sqrt.f64 2)) (.f64 a1 (cos.f64 th))))
(.f64 (.f64 a1 (neg.f64 (cos.f64 th))) (/.f64 a1 (neg.f64 (sqrt.f64 2))))
(.f64 (neg.f64 a1) (.f64 (neg.f64 (/.f64 a1 (sqrt.f64 2))) (cos.f64 th)))
(sqrt.f64 (pow.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a1) (cos.f64 th)) (/.f64 a1 (sqrt.f64 2))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(cbrt.f64 (pow.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)) -3)))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (*.f64 (cos.f64 th) (/.f64 a1 (sqrt.f64 2))) -3)))
(cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (cos.f64 th))) -3)))
(expm1.f64 (log1p.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (log.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))) 1) 1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) 3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) 1/3))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a1 (*.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th))))) 2))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (sqrt.f64 2) a1) (.f64 a1 (cos.f64 th)))) -1))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
(log1p.f64 (expm1.f64 (.f64 a1 (.f64 (/.f64 a1 (sqrt.f64 2)) (cos.f64 th)))))
(/.f64 (*.f64 a1 a1) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (.f64 a1 (cos.f64 th)) (/.f64 a1 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

localize106.0ms (0.6%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (.f64 a1 a1) (cos.f64 th))
✓	99.7%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1176×	`times-frac`
892×	`associate-*r/`
872×	`fma-def`
856×	`log-prod`
740×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	4095
1	706	4009
2	2250	3991
3	7492	3991

Stop Event

1×	node limit

Counts

141 → 151

Calls

Call 1

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

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

localize141.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f64 (.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4))) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
✓	99.0%	(/.f64 (cos.f64 th) (pow.f64 2 1/4))
✓	98.9%	(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
✓	98.4%	(/.f64 1 (pow.f64 2 1/4))

Compiler

Compiled 71 to 44 computations (38% saved)

series35.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	th	@	inf	(/.f64 (cos.f64 th) (pow.f64 2 1/4))
1.0ms	th	@	0	(/.f64 (cos.f64 th) (pow.f64 2 1/4))
0.0ms	a2	@	inf	(.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)))
0.0ms	th	@	0	(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
0.0ms	th	@	inf	(*.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))

rewrite156.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`log-prod`
676×	`fma-def`
638×	`expm1-udef`
636×	`log1p-udef`
384×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	102
1	391	72
2	5211	72

Stop Event

1×	node limit

Counts

4 → 200

Calls

Call 1

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

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

simplify171.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-r`
1042×	`associate-l`
534×	`associate-/l*`
496×	`cube-prod`
490×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	9332
1	1329	8294
2	6552	8292

Stop Event

1×	node limit

Counts

260 → 291

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

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

eval515.0ms (3%)

Compiler: Compiled 21959 to 13728 computations (37.5% saved)

prune189.0ms (1.1%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	975	14	989
Fresh	6	5	11
Picked	1	0	1
Done	1	4	5
Total	983	23	1006

Accurracy

100.0%

Counts

1006 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.6%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	56.6%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
	39.6%	(/.f64 (.f64 (.f64 a1 a1) (+.f64 (.f64 -1/2 (.f64 th th)) 1)) (sqrt.f64 2))
✓	57.8%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
▶	41.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	43.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	56.5%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
	41.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.5%	(/.f64 a1 (/.f64 (sqrt.f64 2) (+.f64 a1 (.f64 -1/2 (.f64 a1 (*.f64 th th))))))
✓	57.7%	(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
	43.6%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	57.7%	(.f64 (pow.f64 2 -1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
	57.8%	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	43.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
▶	71.5%	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	71.5%	(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
	71.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	56.5%	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	56.5%	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	56.5%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
▶	57.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	57.8%	(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))

Compiler

Compiled 507 to 378 computations (25.4% saved)

localize41.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	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))

Compiler

Compiled 39 to 20 computations (48.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

141 → 169

Calls

Call 1

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

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

localize73.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
✓	99.4%	(/.f64 a1 (sqrt.f64 2))

Compiler

Compiled 18 to 14 computations (22.2% saved)

series6.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

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

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

62 → 67

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`pow1`
1452×	`add-exp-log`
1452×	`log1p-expm1-u`
1452×	`expm1-log1p-u`
1418×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	165	17
2	2016	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1542×	`log-prod`
1072×	`associate-r`
974×	`associate-l`
884×	`fma-def`
508×	`log-div`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	946
1	216	946
2	757	946
3	4480	934

Stop Event

1×	node limit

Counts

44 → 48

Calls

Call 1

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

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

localize73.0ms (0.4%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
✓	99.6%	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
218×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	219	44
2	2541	44

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

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

simplify81.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2114×	`log-prod`
1062×	`fma-neg`
1036×	`unswap-sqr`
604×	`*-commutative`
602×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1644
1	277	1644
2	1053	1596
3	3474	1582
4	6033	1582

Stop Event

1×	node limit

Counts

64 → 48

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))

Compiler

Compiled 27 to 12 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`pow1`
1708×	`add-exp-log`
1708×	`log1p-expm1-u`
1708×	`expm1-log1p-u`
1666×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	215	23
2	2401	23

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2154×	`log-prod`
1040×	`distribute-rgt-in`
1024×	`distribute-lft-in`
906×	`associate-r`
800×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	1131
1	152	973
2	440	901
3	2573	901
4	7202	901

Stop Event

1×	node limit

Counts

39 → 26

Calls

Call 1

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

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

eval193.0ms (1.1%)

Compiler: Compiled 5922 to 3842 computations (35.1% saved)

prune88.0ms (0.5%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	404	16	420
Fresh	4	10	14
Picked	0	1	1
Done	2	6	8
Total	410	33	443

Accurracy

100.0%

Counts

443 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.6%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	56.6%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
✓	57.8%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
✓	41.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	43.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	56.5%	(/.f64 a2 (/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th))))
	41.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.5%	(/.f64 a1 (/.f64 (sqrt.f64 2) (+.f64 a1 (.f64 -1/2 (.f64 a1 (*.f64 th th))))))
	43.6%	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	43.7%	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	35.3%	(-.f64 (+.f64 1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)) 1)
	43.6%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1) a1)
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	41.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	43.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	43.7%	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	39.4%	(*.f64 (-.f64 (+.f64 1 (/.f64 a1 (sqrt.f64 2))) 1) a1)
	39.6%	(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	43.6%	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
▶	43.6%	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	15.9%	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
✓	71.5%	(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
▶	71.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	56.5%	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	56.5%	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	41.2%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	57.7%	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
▶	43.6%	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
▶	56.5%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
✓	57.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	41.2%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
▶	41.2%	(.f64 a2 (.f64 a2 (pow.f64 2 -1/2)))
	57.8%	(sqrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 4) 1/2))

Compiler

Compiled 679 to 524 computations (22.8% saved)

localize36.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
✓	99.6%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))

Compiler

Compiled 32 to 13 computations (59.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`prod-diff`
1030×	`log-prod`
838×	`pow-prod-down`
556×	`fma-def`
534×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	234	23
2	3044	23

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

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

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1044×	`fma-def`
794×	`cancel-sign-sub-inv`
630×	`distribute-rgt-neg-in`
606×	`distribute-lft-neg-in`
600×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	2748
1	450	2536
2	1239	2434
3	4976	2390

Stop Event

1×	node limit

Counts

84 → 94

Calls

Call 1

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

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

localize62.0ms (0.4%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	99.6%	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize37.0ms (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(.f64 a2 (.f64 a2 (pow.f64 2 -1/2)))
✓	99.2%	(*.f64 a2 (pow.f64 2 -1/2))

Compiler

Compiled 22 to 18 computations (18.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite140.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`pow1`
1324×	`add-exp-log`
1322×	`log1p-expm1-u`
1322×	`expm1-log1p-u`
1298×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	167	28
2	1860	28

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

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

simplify50.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	646
1	143	646
2	583	646
3	2372	646

Stop Event

1×	node limit

Counts

46 → 26

Calls

Call 1

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

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

localize60.0ms (0.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
✓	99.2%	(*.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))
✓	98.4%	(/.f64 1 (neg.f64 (sqrt.f64 2)))

Compiler

Compiled 37 to 30 computations (18.9% saved)

series0.0ms (0%)

Counts

3 → 24

Calls

6 calls:

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

rewrite34.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	246	53
2	3436	53

Stop Event

1×

unsound

Counts

3 → 57

Calls

Call 1

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

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

simplify45.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 62

Calls

Call 1

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

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

localize121.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
✓	99.8%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
✓	99.2%	(/.f64 (sqrt.f64 2) a2)

Compiler

Compiled 30 to 20 computations (33.3% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

12 calls:

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

rewrite85.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`log-prod`
756×	`prod-exp`
690×	`pow-prod-down`
524×	`pow-prod-up`
478×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	230	55
2	2979	55

Stop Event

1×	node limit

Counts

3 → 140

Calls

Call 1

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

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

simplify118.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

940×	`distribute-lft-in`
890×	`distribute-rgt-in`
658×	`log-prod`
382×	`sqr-pow`
374×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4216
1	856	4052
2	3002	4046

Stop Event

1×	node limit

Counts

176 → 184

Calls

Call 1

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

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

eval199.0ms (1.2%)

Compiler: Compiled 6102 to 3909 computations (35.9% saved)

prune94.0ms (0.5%)

Pruning

44 alts after pruning (34 fresh and 10 done)

	Pruned	Kept	Total
New	435	20	455
Fresh	7	14	21
Picked	1	0	1
Done	1	10	11
Total	444	44	488

Accurracy

100.0%

Counts

488 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.2%	(pow.f64 (*.f64 a2 (pow.f64 2 -1/4)) 2)
	43.6%	(pow.f64 (*.f64 a1 (pow.f64 1/2 1/4)) 2)
✓	71.6%	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	56.6%	(/.f64 (.f64 (.f64 a2 a2) (cos.f64 th)) (sqrt.f64 2))
✓	57.8%	(/.f64 (.f64 (.f64 a1 a1) (cos.f64 th)) (sqrt.f64 2))
	56.6%	(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
✓	41.2%	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	43.7%	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	41.2%	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	39.5%	(/.f64 a1 (/.f64 (sqrt.f64 2) (+.f64 a1 (.f64 -1/2 (.f64 a1 (*.f64 th th))))))
	35.3%	(-.f64 (+.f64 1 (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)) 1)
	3.1%	(*.f64 (pow.f64 (+.f64 a1 a1) -2) a1)
	16.7%	(.f64 (pow.f64 (.f64 a1 -2) 3) a1)
✓	99.6%	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	41.2%	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
	32.4%	(*.f64 (/.f64 a1 (/.f64 -2 a1)) a1)
✓	43.7%	(*.f64 (/.f64 a1 (sqrt.f64 2)) a1)
	15.7%	(*.f64 (/.f64 a1 -2) a1)
	33.7%	(*.f64 (/.f64 -1 (/.f64 -2 a1)) a1)
	33.6%	(*.f64 (/.f64 -2 (/.f64 -2 a1)) a1)
	39.6%	(.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	33.2%	(*.f64 (+.f64 a1 a1) a1)
	43.6%	(.f64 (.f64 (pow.f64 2 -1/2) a1) a1)
✓	43.6%	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))) a1)
	15.4%	(.f64 (.f64 (neg.f64 a1) 512) a1)
	15.6%	(.f64 (.f64 (neg.f64 a1) 1/4) a1)
	15.6%	(.f64 (.f64 (neg.f64 a1) 1/8) a1)
	16.9%	(.f64 (.f64 a1 (*.f64 a1 1/2)) a1)
	33.7%	(.f64 (.f64 a1 1/2) a1)
	15.9%	(.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1)
✓	71.5%	(.f64 (sqrt.f64 1/2) (fma.f64 a1 a1 (.f64 a2 a2)))
✓	71.5%	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	56.5%	(.f64 (sqrt.f64 1/2) (.f64 (*.f64 a2 a2) (cos.f64 th)))
	56.5%	(.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))
	41.2%	(.f64 (sqrt.f64 1/2) (.f64 a2 a2))
	57.7%	(.f64 (sqrt.f64 1/2) (.f64 a1 (*.f64 a1 (cos.f64 th))))
✓	43.6%	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
✓	57.7%	(.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)))
	9.9%	(.f64 (cbrt.f64 (.f64 a1 -2)) a1)
	41.2%	(*.f64 a2 (/.f64 1 (/.f64 (sqrt.f64 2) a2)))
	35.7%	(.f64 a2 (-.f64 (+.f64 1 (.f64 a2 (sqrt.f64 1/2))) 1))
	41.2%	(.f64 a2 (.f64 (sqrt.f64 1/2) a2))
	33.6%	(*.f64 a1 a1)
	38.2%	(sqrt.f64 (*.f64 1/2 (pow.f64 a1 4)))

Compiler

Compiled 470 to 359 computations (23.6% saved)

regimes387.0ms (2.3%)

Counts

69 → 1

Calls

Call 1

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

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

Calls

8 calls:

68.0ms	(*.f64 a1 a1)
68.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
65.0ms	(cos.f64 th)
59.0ms	th
32.0ms	a2

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 674 to 383 computations (43.2% saved)

regimes290.0ms (1.7%)

Counts

62 → 1

Calls

Call 1

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

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

Calls

7 calls:

135.0ms	a1
30.0ms	a2
29.0ms	th
24.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
22.0ms	(cos.f64 th)

Results

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

Compiler

Compiled 547 to 316 computations (42.2% saved)

regimes765.0ms (4.5%)

Counts

59 → 3

Calls

Call 1

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

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

Calls

6 calls:

205.0ms	th
192.0ms	a2
141.0ms	(*.f64 a2 a2)
113.0ms	a1
69.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
89.3%	2	`a1`
90.5%	3	`a2`
82.2%	4	`th`
81.9%	2	`(cos.f64 th)`
87.2%	2	`(*.f64 a1 a1)`
84.1%	4	`(*.f64 a2 a2)`

Compiler

Compiled 504 to 294 computations (41.7% saved)

bsearch107.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.226645822952766e-84	1.2128480136012893e-81
75.0ms	5.4557525206225706e-157	6.783086212906117e-152

Results

57.0ms	44×	body	1024	valid
23.0ms	148×	body	256	valid
6.0ms	16×	body	512	valid
6.0ms	38×	body	256	infinite
6.0ms	15×	body	1024	infinite
4.0ms	11×	body	512	infinite

Compiler

Compiled 487 to 360 computations (26.1% saved)

regimes683.0ms (4%)

Counts

50 → 3

Calls

Call 1

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

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

Calls

6 calls:

183.0ms	a2
172.0ms	th
97.0ms	(cos.f64 th)
89.0ms	a1
82.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
89.2%	2	`a1`
90.4%	3	`a2`
82.2%	4	`th`
81.9%	2	`(cos.f64 th)`
87.1%	2	`(*.f64 a1 a1)`
84.0%	4	`(*.f64 a2 a2)`

Compiler

Compiled 422 to 259 computations (38.6% saved)

bsearch121.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
84.0ms	2.226645822952766e-84	1.2128480136012893e-81
37.0ms	5.4557525206225706e-157	6.783086212906117e-152

Results

74.0ms	133×	body	256	valid
22.0ms	57×	body	1024	valid
7.0ms	47×	body	256	infinite
6.0ms	12×	body	1024	infinite
3.0ms	13×	body	512	valid
3.0ms	10×	body	512	infinite

Compiler

Compiled 487 to 360 computations (26.1% saved)

regimes521.0ms (3.1%)

Counts

47 → 3

Calls

Call 1

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

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

Calls

6 calls:

207.0ms	th
87.0ms	a2
71.0ms	(*.f64 a2 a2)
64.0ms	a1
51.0ms	(cos.f64 th)

Results

Accuracy	Segments	Branch
89.2%	2	`a1`
90.4%	3	`a2`
82.2%	4	`th`
81.9%	2	`(cos.f64 th)`
87.1%	2	`(*.f64 a1 a1)`
84.0%	4	`(*.f64 a2 a2)`

Compiler

Compiled 395 to 246 computations (37.7% saved)

bsearch113.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
79.0ms	2.226645822952766e-84	1.2128480136012893e-81
34.0ms	5.4557525206225706e-157	6.783086212906117e-152

Results

61.0ms	45×	body	1024	valid
29.0ms	139×	body	256	valid
7.0ms	48×	body	256	infinite
6.0ms	22×	body	512	valid
4.0ms	11×	body	1024	infinite
2.0ms	7×	body	512	infinite

Compiler

Compiled 487 to 360 computations (26.1% saved)

regimes504.0ms (3%)

Counts

45 → 2

Calls

Call 1

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

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

Calls

6 calls:

129.0ms	th
106.0ms	(cos.f64 th)
93.0ms	a2
83.0ms	(*.f64 a2 a2)
57.0ms	a1

Results

Accuracy	Segments	Branch
80.7%	2	`a1`
81.0%	2	`a2`
80.1%	3	`th`
81.9%	2	`(cos.f64 th)`
79.4%	2	`(*.f64 a1 a1)`
78.2%	4	`(*.f64 a2 a2)`

Compiler

Compiled 377 to 236 computations (37.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5764302742193534	0.6079252173940947

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes232.0ms (1.4%)

Counts

44 → 3

Calls

Call 1

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

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

Calls

5 calls:

112.0ms	a1
59.0ms	th
22.0ms	a2
15.0ms	(*.f64 a1 a1)
13.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
71.6%	1	`a1`
71.6%	1	`a2`
73.1%	3	`th`
71.6%	1	`(*.f64 a1 a1)`
71.6%	1	`(*.f64 a2 a2)`

Compiler

Compiled 363 to 227 computations (37.5% saved)

bsearch119.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-2.819925038441873e+52	-8.791794549578817e+40
77.0ms	-4.883741694200826e+108	-1.1994215781379545e+103

Results

56.0ms	69×	body	512	infinite
30.0ms	101×	body	256	valid
18.0ms	63×	body	512	valid
12.0ms	71×	body	256	infinite

Compiler

Compiled 522 to 381 computations (27% saved)

regimes123.0ms (0.7%)

Counts

35 → 3

Calls

Call 1

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

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

Calls

5 calls:

56.0ms	th
19.0ms	a2
18.0ms	a1
11.0ms	(*.f64 a1 a1)
11.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
71.5%	1	`a1`
71.5%	1	`a2`
73.1%	3	`th`
71.5%	1	`(*.f64 a1 a1)`
71.5%	1	`(*.f64 a2 a2)`

Compiler

Compiled 271 to 171 computations (36.9% saved)

bsearch156.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
76.0ms	-2.819925038441873e+52	-8.791794549578817e+40
80.0ms	-4.883741694200826e+108	-1.1994215781379545e+103

Results

58.0ms	70×	body	256	infinite
56.0ms	76×	body	512	valid
21.0ms	63×	body	512	infinite
16.0ms	95×	body	256	valid

Compiler

Compiled 522 to 381 computations (27% saved)

regimes223.0ms (1.3%)

Counts

30 → 4

Calls

Call 1

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

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

Calls

5 calls:

67.0ms	a2
42.0ms	th
41.0ms	a1
31.0ms	(*.f64 a2 a2)
29.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.7%	2	`a1`
65.9%	4	`a2`
48.9%	2	`th`
62.8%	2	`(*.f64 a1 a1)`
62.1%	4	`(*.f64 a2 a2)`

Compiler

Compiled 221 to 140 computations (36.7% saved)

bsearch156.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
31.0ms	2.2203463304963698e-10	5.327487495146679e-7
89.0ms	6.610828602676402e-38	1.3449965100038723e-36
35.0ms	1.2128480136012893e-81	5.537585378323577e-76

Results

94.0ms	195×	body	256	valid
28.0ms	64×	body	1024	valid
9.0ms	60×	body	256	infinite
8.0ms	21×	body	1024	infinite
8.0ms	30×	body	512	valid
4.0ms	14×	body	512	infinite

Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes203.0ms (1.2%)

Counts

20 → 4

Calls

Call 1

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

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

Calls

5 calls:

69.0ms	(*.f64 a2 a2)
51.0ms	a2
32.0ms	a1
29.0ms	th
17.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.7%	2	`a1`
65.9%	4	`a2`
48.9%	2	`th`
62.8%	2	`(*.f64 a1 a1)`
62.1%	4	`(*.f64 a2 a2)`

Compiler

Compiled 145 to 91 computations (37.2% saved)

bsearch98.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
33.0ms	2.2203463304963698e-10	5.327487495146679e-7
29.0ms	6.610828602676402e-38	1.3449965100038723e-36
36.0ms	1.2128480136012893e-81	5.537585378323577e-76

Results

32.0ms	194×	body	256	valid
28.0ms	68×	body	1024	valid
12.0ms	63×	body	256	infinite
12.0ms	26×	body	1024	infinite
5.0ms	18×	body	512	valid
4.0ms	15×	body	512	infinite

Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes207.0ms (1.2%)

Counts

19 → 4

Calls

Call 1

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

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

Calls

5 calls:

99.0ms	a2
29.0ms	th
28.0ms	a1
24.0ms	(*.f64 a1 a1)
22.0ms	(*.f64 a2 a2)

Results

Accuracy	Segments	Branch
64.7%	2	`a1`
65.9%	4	`a2`
48.9%	2	`th`
62.8%	2	`(*.f64 a1 a1)`
62.1%	4	`(*.f64 a2 a2)`

Compiler

Compiled 139 to 88 computations (36.7% saved)

bsearch150.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	2.2203463304963698e-10	5.327487495146679e-7
30.0ms	6.610828602676402e-38	1.3449965100038723e-36
85.0ms	1.2128480136012893e-81	5.537585378323577e-76

Results

35.0ms	76×	body	1024	valid
33.0ms	192×	body	256	valid
9.0ms	54×	body	256	infinite
8.0ms	21×	body	1024	infinite
7.0ms	27×	body	512	valid
4.0ms	14×	body	512	infinite

Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes222.0ms (1.3%)

Counts

18 → 4

Calls

Call 1

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

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

Calls

5 calls:

79.0ms	a2
74.0ms	th
26.0ms	a1
21.0ms	(*.f64 a2 a2)
16.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.7%	2	`a1`
65.9%	4	`a2`
48.9%	2	`th`
62.8%	2	`(*.f64 a1 a1)`
62.1%	4	`(*.f64 a2 a2)`

Compiler

Compiled 133 to 84 computations (36.8% saved)

bsearch99.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	2.2203463304963698e-10	5.327487495146679e-7
29.0ms	6.610828602676402e-38	1.3449965100038723e-36
38.0ms	1.2128480136012893e-81	5.537585378323577e-76

Results

30.0ms	181×	body	256	valid
29.0ms	71×	body	1024	valid
12.0ms	24×	body	1024	infinite
9.0ms	60×	body	256	infinite
9.0ms	34×	body	512	valid
4.0ms	14×	body	512	infinite

Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes230.0ms (1.4%)

Counts

15 → 4

Calls

Call 1

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

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

Calls

5 calls:

86.0ms	a2
84.0ms	th
22.0ms	a1
20.0ms	(*.f64 a2 a2)
14.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.7%	2	`a1`
65.9%	4	`a2`
48.8%	2	`th`
62.8%	2	`(*.f64 a1 a1)`
62.0%	4	`(*.f64 a2 a2)`

Compiler

Compiled 115 to 72 computations (37.4% saved)

bsearch94.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
29.0ms	2.2203463304963698e-10	5.327487495146679e-7
29.0ms	6.610828602676402e-38	1.3449965100038723e-36
35.0ms	1.2128480136012893e-81	5.537585378323577e-76

Results

32.0ms	198×	body	256	valid
28.0ms	69×	body	1024	valid
11.0ms	68×	body	256	infinite
10.0ms	23×	body	1024	infinite
4.0ms	15×	body	512	valid
3.0ms	11×	body	512	infinite

Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes133.0ms (0.8%)

Counts

14 → 4

Calls

Call 1

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

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

Calls

4 calls:

59.0ms	a1
36.0ms	a2
21.0ms	th
14.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
64.6%	2	`a1`
65.9%	4	`a2`
48.8%	2	`th`
62.8%	2	`(*.f64 a1 a1)`

Compiler

Compiled 103 to 64 computations (37.9% saved)

bsearch143.0ms (0.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	2.2203463304963698e-10	5.327487495146679e-7
31.0ms	6.610828602676402e-38	1.3449965100038723e-36
80.0ms	1.2128480136012893e-81	5.537585378323577e-76

Results

78.0ms	68×	body	1024	valid
30.0ms	185×	body	256	valid
12.0ms	77×	body	256	infinite
7.0ms	16×	body	1024	infinite
7.0ms	24×	body	512	valid
4.0ms	14×	body	512	infinite

Compiler

Compiled 508 to 404 computations (20.5% saved)

regimes139.0ms (0.8%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

4 calls:

46.0ms	a1
22.0ms	th
14.0ms	a2
9.0ms	(*.f64 a1 a1)

Results

Accuracy	Segments	Branch
58.5%	2	`a1`
56.4%	2	`a2`
46.5%	3	`th`
58.3%	2	`(*.f64 a1 a1)`

Compiler

Compiled 97 to 61 computations (37.1% saved)

bsearch43.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-4.218919335807169e+135	-1.735353570225507e+124

Results

15.0ms	36×	body	1024	valid
11.0ms	70×	body	256	valid
5.0ms	12×	body	1024	infinite
4.0ms	15×	body	512	valid
3.0ms	20×	body	256	infinite
2.0ms	7×	body	512	infinite

Compiler

Compiled 198 to 150 computations (24.2% saved)

regimes32.0ms (0.2%)

Accuracy

Total -15.7b remaining (-37%)

Threshold costs -15.7b (-37%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	th
8.0ms	(*.f64 a1 a1)
7.0ms	a1
6.0ms	a2

Results

Accuracy	Segments	Branch
33.7%	1	`a1`
33.7%	1	`a2`
33.7%	1	`th`
33.7%	1	`(*.f64 a1 a1)`

Compiler

Compiled 85 to 53 computations (37.6% saved)

simplify68.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative`
6×	`if-if-or-not`
4×	`not-or`
2×	`+-commutative`
2×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1235
1	154	1225
2	157	1225
3	160	1221
4	161	1221
5	162	1221

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)))
(if (<=.f64 a2 3538089773270195/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(if (<=.f64 a2 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th))))))
(if (<=.f64 a2 5887381382721605/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 (cos.f64 th) 5404319552844595/9007199254740992) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 th -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 th -1320000000000000017636212165855666387005596348973056) (.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(if (<=.f64 th -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 th -1320000000000000017636212165855666387005596348973056) (.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(if (<=.f64 a2 1668739871813211/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 1915619426082361/11972621413014756705924586149611790497021399392059392) (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (if (<=.f64 a2 1983393922805251/18889465931478580854784) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 3650368469591399/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 4789048565205903/23945242826029513411849172299223580994042798784118784) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 4004566777473459/75557863725914323419136) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 8524506446066507/47890485652059026823698344598447161988085597568237568) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 290142196707511/1208925819614629174706176) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 1915619426082361/2993155353253689176481146537402947624255349848014848) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 8510837770086989/9671406556917033397649408) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(if (<=.f64 a2 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (if (<=.f64 a2 5686995171182009/5986310706507378352962293074805895248510699696029696) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 2780529385113647/2417851639229258349412352) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(if (<=.f64 a2 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (if (<=.f64 a2 6034201192159437/47890485652059026823698344598447161988085597568237568) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 1662273001970115/151115727451828646838272) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)))))
(if (<=.f64 a1 -94999999999999999601632977581055024097576321950059432299445632764763929423611486290047739986687976522083409110322836048553534797381632) (.f64 a1 a1) (.f64 a2 (*.f64 (sqrt.f64 1/2) a2)))
(.f64 (.f64 a1 1/2) a1)
(*.f64 a1 a1)

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)))
(if (<=.f64 a2 3538089773270195/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th)) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 a2 (cos.f64 th))))))
(if (<=.f64 a2 3538089773270195/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 a2 (*.f64 (cos.f64 th) a2)))))
(if (<=.f64 a2 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 a2 (cos.f64 th))))))
(if (<=.f64 a2 1745457621479963/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (sqrt.f64 1/2) (.f64 a2 (.f64 (cos.f64 th) a2)))))
(if (<=.f64 a2 5887381382721605/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 5887381382721605/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (if (<=.f64 a2 640796110776273/533996758980227520598755426542388028650676130589163192486760401955554931445160137505740521734144) (/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2)) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 (cos.f64 th) 5404319552844595/9007199254740992) (.f64 (cos.f64 th) (.f64 (sqrt.f64 1/2) (.f64 a1 a1))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 (cos.f64 th) 5404319552844595/9007199254740992) (.f64 (cos.f64 th) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 th -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 th -1320000000000000017636212165855666387005596348973056) (.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(if (<=.f64 th -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (if (<=.f64 th -1320000000000000017636212165855666387005596348973056) (.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2))) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2))))
(if (<=.f64 th -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (if (<=.f64 th -1320000000000000017636212165855666387005596348973056) (.f64 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)) a1) (.f64 (sqrt.f64 1/2) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(if (or (<=.f64 th -679999999999999937645284797846884544737921723747263034725519087867070108079323311729224961069290551771136) (not (<=.f64 th -1320000000000000017636212165855666387005596348973056))) (.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 1/2)) (.f64 a1 (sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))
(if (<=.f64 a2 1668739871813211/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 1915619426082361/11972621413014756705924586149611790497021399392059392) (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (if (<=.f64 a2 1983393922805251/18889465931478580854784) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 1668739871813211/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 1915619426082361/11972621413014756705924586149611790497021399392059392) (/.f64 (.f64 a2 a2) (sqrt.f64 2)) (if (<=.f64 a2 1983393922805251/18889465931478580854784) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 3650368469591399/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 4789048565205903/23945242826029513411849172299223580994042798784118784) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 4004566777473459/75557863725914323419136) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 3650368469591399/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (if (<=.f64 a2 4789048565205903/23945242826029513411849172299223580994042798784118784) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (if (<=.f64 a2 4004566777473459/75557863725914323419136) (.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 8524506446066507/47890485652059026823698344598447161988085597568237568) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 290142196707511/1208925819614629174706176) (.f64 (sqrt.f64 1/2) (*.f64 a1 a1)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 8677447333428697/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 a2 8524506446066507/47890485652059026823698344598447161988085597568237568) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (if (<=.f64 a2 290142196707511/1208925819614629174706176) (.f64 (*.f64 a1 a1) (sqrt.f64 1/2)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 a2 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (if (<=.f64 a2 1915619426082361/2993155353253689176481146537402947624255349848014848) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 8510837770086989/9671406556917033397649408) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))
(if (<=.f64 a2 875925469823829/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (if (<=.f64 a2 1915619426082361/2993155353253689176481146537402947624255349848014848) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (if (<=.f64 a2 8510837770086989/9671406556917033397649408) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))))
(if (<=.f64 a2 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (if (<=.f64 a2 5686995171182009/5986310706507378352962293074805895248510699696029696) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 2780529385113647/2417851639229258349412352) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 (sqrt.f64 1/2) (.f64 a2 a2)))))
(if (<=.f64 a2 1018517988167243/2037035976334486086268445688409378161051468393665936250636140449354381299763336706183397376) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (if (<=.f64 a2 5686995171182009/5986310706507378352962293074805895248510699696029696) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (if (<=.f64 a2 2780529385113647/2417851639229258349412352) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 (.f64 a2 a2) (sqrt.f64 1/2)))))
(if (<=.f64 a2 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (if (<=.f64 a2 6034201192159437/47890485652059026823698344598447161988085597568237568) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)) (if (<=.f64 a2 1662273001970115/151115727451828646838272) (.f64 (sqrt.f64 1/2) (.f64 a1 a1)) (.f64 a2 (.f64 (sqrt.f64 1/2) a2)))))
(if (<=.f64 a2 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (if (or (<=.f64 a2 6034201192159437/47890485652059026823698344598447161988085597568237568) (not (<=.f64 a2 1662273001970115/151115727451828646838272))) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))) (.f64 (.f64 a1 a1) (sqrt.f64 1/2))))
(if (or (<=.f64 a2 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (not (or (<=.f64 a2 6034201192159437/47890485652059026823698344598447161988085597568237568) (not (<=.f64 a2 1662273001970115/151115727451828646838272))))) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))
(if (or (<=.f64 a2 2477035747222735/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (and (not (<=.f64 a2 6034201192159437/47890485652059026823698344598447161988085597568237568)) (<=.f64 a2 1662273001970115/151115727451828646838272))) (.f64 (.f64 a1 a1) (sqrt.f64 1/2)) (.f64 a2 (.f64 a2 (sqrt.f64 1/2))))
(if (<=.f64 a1 -94999999999999999601632977581055024097576321950059432299445632764763929423611486290047739986687976522083409110322836048553534797381632) (.f64 a1 a1) (.f64 a2 (*.f64 (sqrt.f64 1/2) a2)))
(if (<=.f64 a1 -94999999999999999601632977581055024097576321950059432299445632764763929423611486290047739986687976522083409110322836048553534797381632) (.f64 a1 a1) (.f64 a2 (*.f64 a2 (sqrt.f64 1/2))))
(.f64 (.f64 a1 1/2) a1)
(.f64 a1 (.f64 a1 1/2))
(*.f64 a1 a1)

Compiler

Compiled 497 to 334 computations (32.8% saved)

soundness2.2s (12.8%)

Rules

2154×	`log-prod`
2154×	`log-prod`
1826×	`prod-diff`
1640×	`times-frac`
1640×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35
0	231	5304
1	524	5158
2	1599	4880
0	257	4011
1	591	3921
2	1790	3873
3	7128	3873
0	8	28
1	165	28
2	2007	28
0	12	53
1	246	53
2	3436	53
0	59	741
1	117	717
2	273	717
3	1308	717
0	12	53
1	246	53
2	3436	53
0	59	741
1	117	717
2	273	717
3	1308	717
0	257	4011
1	591	3921
2	1790	3873
3	7128	3873
0	8	17
1	165	17
2	2016	17
0	15	39
1	30	35
2	61	35
3	91	35
4	118	35
5	136	35
6	154	35
7	174	35
8	176	35
0	14	65
1	300	61
2	4088	61
0	527	9332
1	1329	8294
2	6552	8292
0	57	1131
1	152	973
2	440	901
3	2573	901
4	7202	901
0	57	1131
1	152	973
2	440	901
3	2573	901
4	7202	901
0	257	4011
1	591	3921
2	1790	3873
3	7128	3873
0	257	4011
1	591	3921
2	1790	3873
3	7128	3873
0	8	28
1	165	28
2	2007	28
0	14	60
1	281	56
2	3385	56
0	424	8623
1	1216	7837
2	4335	6851
0	231	5304
1	524	5158
2	1599	4880
0	424	8623
1	1216	7837
2	4335	6851
0	231	5304
1	524	5158
2	1599	4880

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

Compiler

Compiled 1288 to 846 computations (34.3% saved)

end321.0ms (1.9%)

Compiler: Compiled 972 to 548 computations (43.6% saved)

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

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

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