Details

analyze411.0ms (2.3%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 16 computations (30.4% saved)

sample4.5s (25.2%)

Results

1.2s	5444×	body	256	valid
1.1s	1844×	body	1024	valid
1.0s	1656×	body	1024	infinite
461.0ms	1575×	body	256	infinite
347.0ms	965×	body	512	valid
310.0ms	835×	body	512	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess18.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

180×	`fma-def`
140×	`*-commutative`
114×	`associate-/l*`
48×	`associate-r`
48×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	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 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(+.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 a1 a1 (.f64 a2 a2)))
(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 th th)) (.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (+.f64 (.f64 th th) (*.f64 a2 a2)))
(.f64 (/.f64 (cos.f64 a1) (sqrt.f64 2)) (fma.f64 th th (.f64 a2 a2)))
(.f64 (cos.f64 a1) (/.f64 (fma.f64 th th (.f64 a2 a2)) (sqrt.f64 2)))
(+.f64 (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 a1 a1 (.f64 th th)))
(.f64 (/.f64 (cos.f64 a2) (sqrt.f64 2)) (fma.f64 th th (.f64 a1 a1)))
(.f64 (cos.f64 a2) (/.f64 (fma.f64 th th (.f64 a1 a1)) (sqrt.f64 2)))

Symmetry

(sort a1 a2)

Compiler

Compiled 25 to 18 computations (28% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-def`
50×	`*-commutative`
40×	`associate-/l*`
18×	`associate-/r/`
16×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	56	35
3	79	35
4	106	35
5	124	35
6	142	35
7	147	35
8	149	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

Error

0.6b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
▶	0.7b	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f64 th)
✓	0.0b	(fma.f64 a1 a1 (*.f64 a2 a2))
✓	0.4b	(.f64 (cos.f64 th) (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))
✓	0.4b	(/.f64 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))

Compiler

Compiled 41 to 16 computations (61% saved)

series12.0ms (0.1%)

Counts

4 → 88

Calls

24 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`associate-*r/`
856×	`associate-*l/`
790×	`associate-/r*`
596×	`associate-/l*`
430×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	280	74
2	3399	74

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)) (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 a1 a1)) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 2 -1/2) (.f64 (.f64 a1 a1) 1)) (.f64 (pow.f64 2 -1/2) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)) (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a1 a1) (pow.f64 2 -1/2)) (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 a1 a1) 1) (pow.f64 2 -1/2)) (.f64 (.f64 a2 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 a1 a2) (.f64 (hypot.f64 a1 a2) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 -1/2) (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 2)) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (sqrt.f64 2)) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (cos.f64 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1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a2 a2) (.f64 (.f64 a1 a1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a1 a1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a1 a1) 1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 a1 a1) 1)) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 a1 a1) 1) 1) (.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a2 a2))) (-.f64 1 (.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 a1 a1) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 a1 a1) 1) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(hypot.f64 a1 a2) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (hypot.f64 a1 a2)) (neg.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))) (neg.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))) (sqrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))) (cbrt.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (hypot.f64 a1 a2))) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)))) (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 a1 a2) (/.f64 1 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2)) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3)) (-.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3)) (.f64 1 (-.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (.f64 (.f64 a1 a1) (.f64 a2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3))) (-.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) 1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 a2 a2) 3) (pow.f64 (.f64 a1 a1) 3)) 1) (-.f64 (+.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (.f64 (.f64 a1 a1) (.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a1 a2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 th)) (cbrt.f64 (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cos.f64 th) 2)) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 th)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 th)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 th) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 th) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 th) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 th)))))))

simplify346.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-r`
1202×	`times-frac`
1138×	`associate-l`
646×	`associate-/r*`
620×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	11384
1	1353	10814

Stop Event

1×	node limit

Counts

312 → 335

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

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

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.5b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.7b	(/.f64 (cos.f64 th) (sqrt.f64 2))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series4.0ms (0%)

Counts

3 → 64

Calls

18 calls:

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

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-/r*`
844×	`associate-/l*`
836×	`distribute-rgt-in`
794×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	299	61
2	4071	61

Stop Event

1×	node limit

Counts

3 → 265

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
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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 a1))) (-.f64 1 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a1 4) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (/.f64 (/.f64 (pow.f64 a2 4) (+.f64 a1 a2)) (-.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a1 a1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (exp.f64 (log1p.f64 (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) 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(hypot.f64 a1 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))) (+.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)) 3))) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (-.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))) (*.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a1 a2) 2))))))))) (#(struct:change #<rule 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egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (*.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (*.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (*.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (*.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 a1 a2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a1 a1 (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a2 a2 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a1 a1) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a2 a2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (*.f64 a2 a2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (*.f64 a1 a1)) (*.f64 a2 a2))))))

simplify166.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-/r*`
1106×	`associate-r`
1030×	`associate-/l/`
878×	`associate-l`
738×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	719	17331
1	2004	17125

Stop Event

1×	node limit

Counts

329 → 440

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))
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(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
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(/.f64 (/.f64 (neg.f64 (.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) -1) (sqrt.f64 2))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))
(/.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 th) (pow.f64 (hypot.f64 a1 a2) 2))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))
(pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 1)
(pow.f64 (*.f64 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))) (hypot.f64 a1 a2)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (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 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (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 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))))
(fma.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(fma.f64 (.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 a1 a1))) (-.f64 1 (.f64 a2 a2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 a2 a2))) (-.f64 1 (.f64 a1 a1)))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (/.f64 (pow.f64 a2 4) (+.f64 a1 a2)) (-.f64 a1 a2)))
(-.f64 (+.f64 (.f64 a1 a1) (exp.f64 (log1p.f64 (.f64 a2 a2)))) 1)
(-.f64 (+.f64 (.f64 a2 a2) (exp.f64 (log1p.f64 (.f64 a1 a1)))) 1)
(*.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(*.f64 1 (pow.f64 (hypot.f64 a1 a2) 2))
(*.f64 (hypot.f64 a1 a2) (hypot.f64 a1 a2))
(*.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 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (/.f64 1 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(.f64 (/.f64 1 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))
(*.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.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 (pow.f64 a1 6) (pow.f64 a2 6)) (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))) (+.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (pow.f64 (.f64 a1 a2) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (+.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) 3))) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (-.f64 (.f64 (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))) (.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))))))
(/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.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 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (cbrt.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(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 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (.f64 a2 a2)) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (.f64 a1 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)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 th 2) (sqrt.f64 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 2)))))
(fma.f64 -1/2 (/.f64 (*.f64 th th) (sqrt.f64 2)) (fma.f64 -1/720 (/.f64 (pow.f64 th 6) (sqrt.f64 2)) (fma.f64 1/24 (/.f64 (pow.f64 th 4) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 2)))))
(/.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (sqrt.f64 2))
(/.f64 (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 -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 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th)))) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (fma.f64 -1/2 (/.f64 (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 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (/.f64 (.f64 1/24 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (.f64 (/.f64 a2 (sqrt.f64 2)) a2)))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (+.f64 (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 a1 (/.f64 (sqrt.f64 2) a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(fma.f64 -1/720 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (pow.f64 th 6))) (+.f64 (fma.f64 -1/2 (/.f64 (fma.f64 a2 a2 (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (.f64 th th))) (/.f64 (.f64 1/24 (fma.f64 a2 a2 (.f64 a1 a1))) (/.f64 (sqrt.f64 2) (pow.f64 th 4)))) (+.f64 (.f64 (/.f64 a1 (sqrt.f64 2)) a1) (*.f64 (/.f64 a2 (sqrt.f64 2)) a2))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (/.f64 (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 a2 (/.f64 (sqrt.f64 2) a2)))
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(/.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 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (pow.f64 (hypot.f64 a1 a2) 2))
(.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(.f64 (/.f64 (sqrt.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)))) (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (sqrt.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 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))) (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (/.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))) (cbrt.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (/.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)))) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (cbrt.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 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (.f64 (pow.f64 a2 6) (pow.f64 a2 6))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6))))
(/.f64 (-.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a2 4))) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (-.f64 (pow.f64 a1 8) (pow.f64 a2 8)) (.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (-.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (pow.f64 a1 12) (-.f64 (pow.f64 a2 12) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a1 6) 3) (pow.f64 (pow.f64 a2 6) 3)) (.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (+.f64 (pow.f64 a1 12) (pow.f64 a2 12)) (*.f64 (pow.f64 a1 6) (pow.f64 a2 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a1 4) 3) (pow.f64 (pow.f64 a2 4) 3)) (.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)) (+.f64 (pow.f64 a1 8) (+.f64 (pow.f64 a2 8) (.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(neg.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (neg.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))) (*.f64 (+.f64 a2 a1) (neg.f64 (-.f64 a1 a2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))) (neg.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) 1) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2)))) (sqrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))) (cbrt.f64 (-.f64 (.f64 a1 a1) (*.f64 a2 a2))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (cbrt.f64 (-.f64 (.f64 a1 a1) (.f64 a2 a2))))))
(/.f64 (/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (+.f64 a1 a2)) (-.f64 a1 a2))
(-.f64 (/.f64 (pow.f64 a1 4) (-.f64 (.f64 a1 a1) (.f64 a2 a2))) (/.f64 (pow.f64 a2 4) (*.f64 (-.f64 a1 a2) (+.f64 a2 a1))))
(/.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) 1) (+.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 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 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (sqrt.f64 (+.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 (sqrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)))) (sqrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (*.f64 a2 a1) 2))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))) (cbrt.f64 (+.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 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))) (.f64 (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2)))) (cbrt.f64 (+.f64 (pow.f64 a1 4) (-.f64 (pow.f64 a2 4) (pow.f64 (.f64 a2 a1) 2))))))
(pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1)
(pow.f64 (hypot.f64 a1 a2) 2)
(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)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 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)
(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 (*.f64 2 (log.f64 (hypot.f64 a1 a2))))
(pow.f64 (exp.f64 2) (log.f64 (hypot.f64 a1 a2)))
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a1 a2))) 1))
(pow.f64 (exp.f64 2) (log.f64 (hypot.f64 a1 a2)))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(pow.f64 (hypot.f64 a1 a2) 2)
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 1 (.f64 a2 a2) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 (.f64 a2 a2)) (.f64 a1 a1))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 (.f64 a1 a1)) (.f64 a2 a2))

eval386.0ms (2.2%)

Compiler: Compiled 17693 to 10427 computations (41.1% saved)

prune226.0ms (1.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	786	19	805
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	787	20	807

Error

Counts

807 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(/.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
▶	0.4b	(/.f64 (hypot.f64 a1 a2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (hypot.f64 a1 a2)))
	0.7b	(/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (/.f64 (pow.f64 2 1/4) (cos.f64 th)))
▶	23.9b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
	0.4b	(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
	33.7b	(/.f64 (.f64 (-.f64 (.f64 (.f64 a1 a1) (.f64 a1 a1)) (pow.f64 a2 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (.f64 a1 a1) (.f64 a2 a2)))
▶	30.4b	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))
	23.8b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	32.2b	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	0.7b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	23.9b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
	30.4b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
▶	26.6b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	0.7b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (+.f64 (.f64 a1 a1) (.f64 a2 a2)))
	0.7b	(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
▶	23.9b	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	30.4b	(.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2)))
	23.8b	(*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
	0.6b	(.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
	26.6b	(.f64 1 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)))

Compiler

Compiled 594 to 421 computations (29.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.2b	(/.f64 (hypot.f64 a1 a2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (hypot.f64 a1 a2)))
✓	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.3b	(/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (hypot.f64 a1 a2))

Compiler

Compiled 41 to 20 computations (51.2% saved)

series24.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-/r/`
930×	`swap-sqr`
866×	`associate-/l/`
482×	`distribute-lft-neg-in`
430×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	275	75
2	3661	75

Stop Event

1×	node limit

Counts

3 → 228

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (neg.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (*.f64 (sqrt.f64 2) (/.f64 1 (hypot.f64 a1 a2)))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (hypot.f64 a1 a2)))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (hypot.f64 a1 a2)) (cos.f64 th)))) (sqrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2))) (cbrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))) 1) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (hypot.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (pow.f64 2 1/4)) (sqrt.f64 (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (sqrt.f64 (neg.f64 (hypot.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (hypot.f64 a1 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(pow.f64 (hypot.f64 a1 a2) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (hypot.f64 a1 a2) (*.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (hypot.f64 a1 a2)) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))))))

simplify152.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-r`
1260×	`*-commutative`
1136×	`associate-/r*`
1110×	`associate-l`
1062×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	856	16990
1	2576	16732

Stop Event

1×	node limit

Counts

304 → 415

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 1/24 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))) (pow.f64 th 4)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/48 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 1/24 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))))))) (pow.f64 th 6))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 2) (pow.f64 th 2)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))) (.f64 -1 (.f64 (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))) (.f64 1/24 (*.f64 (sqrt.f64 2) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2))))))) (pow.f64 th 4))))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)))))
(/.f64 (sqrt.f64 2) (*.f64 a2 (cos.f64 th)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 3) (cos.f64 th)))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a2)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 3) (cos.f64 th)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a1 4) (+.f64 (.f64 -1/4 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 5)))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 5))))))) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) a2))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a1 2)) (.f64 (pow.f64 a2 3) (cos.f64 th)))) (+.f64 (.f64 -1 (.f64 (pow.f64 a1 4) (+.f64 (.f64 -1/4 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 5)))) (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (pow.f64 a2 5))))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 7) (cos.f64 th)))) (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/8 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 5) (cos.f64 th)))) (.f64 -1/4 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 a2 5) (cos.f64 th))))) (pow.f64 a2 2)))) (pow.f64 a1 6))) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) a2)))))
(/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))
(+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 3) (cos.f64 th)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 5))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (*.f64 (pow.f64 a1 3) (cos.f64 th))))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a1 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (cos.f64 th))) (.f64 -1/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a2 2)))) (pow.f64 a1 7))) (+.f64 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))) (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 3) (cos.f64 th)))))))
(.f64 -1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 3) (cos.f64 th)))) (.f64 -1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 3) (cos.f64 th)))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 5) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 5) (cos.f64 th)))))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 2)) (.f64 (pow.f64 a1 3) (cos.f64 th)))) (+.f64 (.f64 1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 6)) (.f64 (pow.f64 a1 7) (cos.f64 th)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (cos.f64 th)))) (pow.f64 a2 2)) (pow.f64 a1 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 5) (cos.f64 th)))) (+.f64 (.f64 -1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (.f64 -1/8 (/.f64 (.f64 (sqrt.f64 2) (pow.f64 a2 4)) (.f64 (pow.f64 a1 5) (cos.f64 th)))))))))
(/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) 1) (.f64 (/.f64 (cbrt.f64 (hypot.f64 a1 a2)) (sqrt.f64 2)) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (/.f64 (cbrt.f64 (hypot.f64 a1 a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))) 2)) (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(*.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)))
(.f64 (.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th))) (neg.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (hypot.f64 a1 a2) -1) (.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) 1) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) (/.f64 (.f64 (cos.f64 th) (hypot.f64 a1 a2)) (pow.f64 2 1/4)))
(.f64 (/.f64 (hypot.f64 a1 a2) (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (hypot.f64 a1 a2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (neg.f64 (hypot.f64 a1 a2)) (neg.f64 (sqrt.f64 2))) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))
(.f64 (/.f64 (neg.f64 (hypot.f64 a1 a2)) -1) (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (sqrt.f64 2)) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (sqrt.f64 2)) (.f64 (/.f64 (hypot.f64 a1 a2) 1) (cos.f64 th)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) 1) (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) 1) (/.f64 (.f64 (cos.f64 th) (hypot.f64 a1 a2)) (sqrt.f64 2)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (pow.f64 2 1/4)) (/.f64 (.f64 (cos.f64 th) (hypot.f64 a1 a2)) (pow.f64 2 1/4)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (cbrt.f64 2)) (/.f64 (.f64 (cos.f64 th) (hypot.f64 a1 a2)) (cbrt.f64 (sqrt.f64 2))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (neg.f64 (sqrt.f64 2))) (.f64 (hypot.f64 a1 a2) (neg.f64 (cos.f64 th))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) -1) (.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th))))
(.f64 (/.f64 (hypot.f64 a1 a2) (.f64 (sqrt.f64 2) (/.f64 1 (hypot.f64 a1 a2)))) (cos.f64 th))
(.f64 (/.f64 (hypot.f64 a1 a2) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (hypot.f64 a1 a2)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (cos.f64 th))
(.f64 (/.f64 (hypot.f64 a1 a2) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (hypot.f64 a1 a2)) (cos.f64 th)))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (/.f64 (hypot.f64 a1 a2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2))) (cbrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2))) (sqrt.f64 (hypot.f64 a1 a2)))) (sqrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (cbrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2) (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))) (cbrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (sqrt.f64 (hypot.f64 a1 a2)))) (sqrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2))) (cbrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) -1) (neg.f64 (hypot.f64 a1 a2)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) 1)) (cos.f64 th))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))
(*.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))
(*.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a1 a2) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))
(*.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 1 (hypot.f64 a1 a2))) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(*.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th)))) (neg.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (.f64 (sqrt.f64 2) (/.f64 1 (hypot.f64 a1 a2)))) (cos.f64 th))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (hypot.f64 a1 a2)))) (neg.f64 (cos.f64 th)))
(*.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2))) (cos.f64 th))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (hypot.f64 a1 a2)) (cos.f64 th)))) (sqrt.f64 (hypot.f64 a1 a2)))
(*.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) 1) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (hypot.f64 a1 a2)) 2))) (cbrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2))))) 1) (sqrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (sqrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (pow.f64 2 1/4)) (sqrt.f64 (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (sqrt.f64 (neg.f64 (hypot.f64 a1 a2))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))) 2)) 1) (cbrt.f64 (*.f64 (hypot.f64 a1 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (cbrt.f64 (hypot.f64 a1 a2)))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))) 2)) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (*.f64 (cos.f64 th) (hypot.f64 a1 a2))))
(.f64 (/.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (.f64 (cos.f64 th) (hypot.f64 a1 a2)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 (cos.f64 th))))) (cbrt.f64 (neg.f64 (hypot.f64 a1 a2))))
(pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (hypot.f64 a1 a2) 2)) -1)
(neg.f64 (neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(neg.f64 (.f64 (hypot.f64 a1 a2) (.f64 (/.f64 (hypot.f64 a1 a2) (sqrt.f64 2)) (neg.f64 (cos.f64 th)))))
(neg.f64 (.f64 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(neg.f64 (.f64 1 (neg.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 a1 a2)) (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2)))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 3) (pow.f64 (/.f64 (sqrt.f64 2) (*.f64 (cos.f64 th) (hypot.f64 a1 a2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (log.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a1 a2) 2))))

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

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.4b	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
✓	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 38 to 19 computations (50% 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	@	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	a1	@	-inf	(.f64 (/.f64 1 (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1542×	`associate-*r/`
1280×	`associate-*l/`
598×	`distribute-lft-in`
556×	`associate-/r*`
412×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	273	28
2	3532	28

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (-.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (+.f64 (pow.f64 a1 6) (pow.f64 a2 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (hypot.f64 a1 a2) 2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a1 a2) 2) -1) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) 1) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))) (sqrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))) (cbrt.f64 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (sqrt.f64 1/2)) (+.f64 a1 a2)) (-.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) 1) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (sqrt.f64 1/2)) (*.f64 (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 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2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (cbrt.f64 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) 1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) -1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 a1 a2) (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 1/2 (sqrt.f64 2)) (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 a1 a2) 2) 3) (/.f64 1/2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 a1 a2) 2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (*.f64 a1 a1) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a1 a1) (sqrt.f64 1/2) (*.f64 (sqrt.f64 1/2) (*.f64 a2 a2)))))))

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1536×	`associate-/l*`
950×	`times-frac`
760×	`associate-/r*`
686×	`associate-l`
670×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	531	10846
1	1430	10500
2	7946	10500

Stop Event

1×	node limit

Counts

232 → 297

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.1b	(.f64 (cos.f64 th) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
✓	0.3b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
1100×	`associate-/r*`
1014×	`*-commutative`
892×	`associate-/l*`
862×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	224	44
2	2848	44

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (pow.f64 2 1/4)) (/.f64 a2 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 a2 4) 2)) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (neg.f64 a2)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 2)) (/.f64 a2 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 (sqrt.f64 2))) (/.f64 a2 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 a2 (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 2)) (/.f64 a2 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) 1) (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (cbrt.f64 2)) (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 a2))) (sqrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (sqrt.f64 2)) (pow.f64 (cbrt.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (neg.f64 (sqrt.f64 2))) (neg.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a2) 2))) (cbrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a2 4)))) (pow.f64 (cbrt.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 a2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a2 a2) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 a2 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 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(neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) -1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 1 (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) 1) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (*.f64 a2 a2) (/.f64 (pow.f64 2 1/4) (cos.f64 th))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) 1) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (*.f64 a2 a2))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a2 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) 1) (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 a2 4) 2) (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-/l*`
910×	`associate-/l/`
620×	`times-frac`
582×	`distribute-rgt-in`
576×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	489	7734
1	1315	7494
2	6211	7494

Stop Event

1×	node limit

Counts

226 → 265

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.3b	(.f64 (cos.f64 th) (.f64 a1 a1))
✓	0.3b	(/.f64 (.f64 (cos.f64 th) (.f64 a1 a1)) (sqrt.f64 2))

Compiler

Compiled 28 to 12 computations (57.1% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-/r*`
1376×	`associate-/l*`
1064×	`*-commutative`
892×	`associate-*r/`
618×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	224	44
2	2875	44

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) a1) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (*.f64 a1 (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a1 (/.f64 1 (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (cos.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)) (/.f64 (cos.f64 th) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1))) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a1 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 1 a1)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a1 a1) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 a1 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) a1)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))) (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (cbrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (cbrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 1 a1)) (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))) (sqrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (cos.f64 th) a1) (sqrt.f64 2)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (*.f64 (neg.f64 a1) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4))))) (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)) (cos.f64 th)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (cos.f64 th) (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 th) (*.f64 (neg.f64 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a1 a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (*.f64 a1 a1))))))))

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1274×	`unswap-sqr`
1092×	`*-commutative`
984×	`associate-/r*`
786×	`times-frac`
644×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	4318
1	658	4250
2	2460	4210

Stop Event

1×	node limit

Counts

134 → 142

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.1b	(*.f64 (pow.f64 a2 2) (cos.f64 th))
✓	0.3b	(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))

Compiler

Compiled 28 to 18 computations (35.7% saved)

series2.0ms (0%)

Counts

2 → 20

Calls

12 calls:

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

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`associate-/r*`
1178×	`associate-/l*`
988×	`*-commutative`
842×	`associate-*r/`
628×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	226	44
2	2806	44

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 a2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a2 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (*.f64 a2 (sqrt.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 1 (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (pow.f64 2 1/4) (*.f64 a2 (cos.f64 th)))) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a2 (/.f64 (pow.f64 2 1/4) (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 a2 (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))) (/.f64 (*.f64 a2 a2) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a2 a2))) (/.f64 1 (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 (cos.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 2)) (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 1 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 (sqrt.f64 2))) (/.f64 (cos.f64 th) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 1 (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (cos.f64 th)))) (/.f64 a2 (/.f64 (cbrt.f64 2) (sqrt.f64 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) (pow.f64 2 1/4)) (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (cbrt.f64 2)) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) (cos.f64 th))) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2) (sqrt.f64 2)) (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 2))) (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (cos.f64 th))) (pow.f64 (cbrt.f64 a2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) (*.f64 a2 (*.f64 a2 (cos.f64 th)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) (/.f64 -1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (/.f64 a2 (/.f64 (neg.f64 (sqrt.f64 2)) (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (cos.f64 th) 2) (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a2) a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 (*.f64 a2 a2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 a2 (cos.f64 th)))))))))

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1404×	`unswap-sqr`
970×	`associate-/r*`
670×	`associate-/r/`
628×	`associate-/l/`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	3402
1	644	3292
2	2596	3282

Stop Event

1×	node limit

Counts

100 → 142

Calls

Call 1

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

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

eval621.0ms (3.5%)

Compiler: Compiled 31847 to 19331 computations (39.3% saved)

prune549.0ms (3.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1454	28	1482
Fresh	12	2	14
Picked	1	0	1
Done	4	1	5
Total	1471	31	1502

Error

Counts

1502 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	26.6b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	42.9b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	46.4b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a1 a1)) (sqrt.f64 2))
	42.9b	(/.f64 (.f64 a2 (+.f64 (.f64 (.f64 -1/2 (.f64 th th)) a2) a2)) (sqrt.f64 2))
	23.8b	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
	38.2b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	30.2b	(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
	41.8b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	26.5b	(/.f64 (sqrt.f64 1/2) (/.f64 1 (pow.f64 (hypot.f64 a1 a2) 2)))
	23.8b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
▶	30.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	23.8b	(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
	38.2b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	41.8b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
▶	32.2b	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	30.4b	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
	30.2b	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
✓	0.7b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	38.2b	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
▶	38.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	41.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	42.9b	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	30.4b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
	26.6b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	23.8b	(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
	23.9b	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	23.9b	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
	23.9b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
▶	41.8b	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	30.2b	(.f64 a1 (.f64 (pow.f64 2 -1/2) (*.f64 a1 (cos.f64 th))))

Compiler

Compiled 774 to 583 computations (24.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.0b	(+.f64 (.f64 a2 a2) (.f64 a1 a1))
	0.2b	(/.f64 (sqrt.f64 2) (cos.f64 th))
✓	0.5b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))

Compiler

Compiled 42 to 17 computations (59.5% saved)

series2.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite118.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`associate-/l*`
802×	`associate-/r/`
652×	`associate-/l/`
606×	`distribute-lft-in`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	299	46
2	4065	46

Stop Event

1×	node limit

Counts

2 → 134

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1)) (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 (hypot.f64 a2 a1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (*.f64 (hypot.f64 a2 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (*.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (sqrt.f64 (cos.f64 th))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2)) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 2)) (/.f64 (cos.f64 th) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 (cos.f64 th) (sqrt.f64 2))) (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (*.f64 (/.f64 (hypot.f64 a2 a1) 1) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) 1) (*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (hypot.f64 a2 a1) (sqrt.f64 2)) (cos.f64 th)) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (/.f64 (hypot.f64 a2 a1) (cbrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (sqrt.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 (sqrt.f64 2) (cos.f64 th))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) -1) (neg.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) 1) (/.f64 (cos.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (/.f64 1 (sqrt.f64 (cos.f64 th)))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) (/.f64 1 (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 2)) -1) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) -1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (neg.f64 (neg.f64 (sqrt.f64 2)))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a2 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))) (*.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 1) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) 1) (cbrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (cbrt.f64 (/.f64 2 (pow.f64 (cos.f64 th) 2)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 a2 a1) 2) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 a2))) (-.f64 1 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 a1))) (-.f64 1 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a2 a2) (exp.f64 (log1p.f64 (*.f64 a1 a1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a1 a1) (exp.f64 (log1p.f64 (*.f64 a2 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (hypot.f64 a2 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 a2 a1) (hypot.f64 a2 a1))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (*.f64 (pow.f64 a1 6) (pow.f64 a1 6))) (*.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (-.f64 (*.f64 a1 a1) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a1 4) (pow.f64 a2 4)) (*.f64 1 (-.f64 (*.f64 a1 a1) (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (*.f64 (pow.f64 a1 4) (pow.f64 a1 4))) (*.f64 (-.f64 (*.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) 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fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))))))

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

798×	`distribute-lft-neg-in`
788×	`associate-r`
746×	`associate-/l*`
692×	`associate-l`
590×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	407	7576
1	1186	7358
2	6555	7358

Stop Event

1×	node limit

Counts

194 → 220

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) 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) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2))
(/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(+.f64 (/.f64 (.f64 (cos.f64 th) (pow.f64 a2 2)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (sqrt.f64 2)))
(/.f64 (*.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1))
(*.f64 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (cos.f64 th))
(+.f64 (/.f64 (.f64 (pow.f64 a1 2) (cos.f64 th)) (sqrt.f64 2)) (/.f64 (.f64 (pow.f64 a2 2) (cos.f64 th)) (sqrt.f64 2)))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (cos.f64 th) (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 (fma.f64 a1 a1 (*.f64 a2 a2)) (sqrt.f64 2))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2)))))
(+.f64 (+.f64 (/.f64 (.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 a2 (/.f64 (sqrt.f64 2) a2)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (*.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2))))))
(+.f64 (+.f64 (/.f64 (.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 (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (.f64 1/24 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 th 4))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))) (+.f64 (/.f64 a2 (/.f64 (sqrt.f64 2) a2)) (.f64 1/24 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 th 4)))))
(+.f64 (.f64 -1/720 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 6)) (sqrt.f64 2))) (+.f64 (/.f64 (pow.f64 a2 2) (sqrt.f64 2)) (+.f64 (/.f64 (pow.f64 a1 2) (sqrt.f64 2)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 2)) (sqrt.f64 2))) (.f64 1/24 (/.f64 (.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (pow.f64 th 4)) (sqrt.f64 2)))))))
(fma.f64 -1/720 (/.f64 (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 (/.f64 a1 (/.f64 (sqrt.f64 2) a1)) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (.f64 th th)) (.f64 1/24 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 th 4))))) (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(+.f64 (+.f64 (fma.f64 -1/720 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 th 6)) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))) (.f64 1/24 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (pow.f64 th 4)))) (fma.f64 -1/2 (.f64 (/.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (sqrt.f64 2)) (.f64 th th)) (/.f64 a1 (/.f64 (sqrt.f64 2) a1))))
(/.f64 (*.f64 (+.f64 (pow.f64 a2 2) (pow.f64 a1 2)) (cos.f64 th)) (sqrt.f64 2))
(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
(.f64 (fma.f64 a1 a1 (.f64 a2 a2)) (/.f64 (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 (cos.f64 th) (sqrt.f64 2)) (fma.f64 a2 a2 (.f64 a1 a1)))
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(.f64 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (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 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(*.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (pow.f64 (hypot.f64 a2 a1) 2))
(pow.f64 (hypot.f64 a2 a1) 2)
(.f64 (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.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 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2)) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(.f64 (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 (.f64 a1 a2) 2) (pow.f64 a2 4))) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(.f64 (+.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2))) (/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a2 a1) 2)))
(.f64 (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2)) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (pow.f64 a2 8) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2))))))
(/.f64 (.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2))) (-.f64 (pow.f64 a2 8) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))) (.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2)))))
(.f64 (+.f64 (pow.f64 a2 8) (-.f64 (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (.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 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) 3))))
(.f64 (+.f64 (pow.f64 a2 8) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (pow.f64 a2 4)))) (/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)) 3))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 (+.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) 3)) (+.f64 (pow.f64 a2 8) (.f64 (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)) (-.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 (.f64 a1 a2) 2)))))))
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (pow.f64 (hypot.f64 a2 a1) 2) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (-.f64 (.f64 a2 a2) (.f64 a1 a1))))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 1 (/.f64 1 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (hypot.f64 a2 a1) (/.f64 1 (hypot.f64 a2 a1)))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (hypot.f64 a2 a1) 2))))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (-.f64 (.f64 a2 a2) (.f64 a1 a1)))
(/.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (/.f64 1 (/.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 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (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 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))))))
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (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 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (/.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))) (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 (.f64 a2 a2) (*.f64 a1 a1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2))) (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2))) (sqrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(/.f64 (.f64 (hypot.f64 (pow.f64 a1 3) (pow.f64 a2 3)) (hypot.f64 (pow.f64 a1 3) (pow.f64 a2 3))) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (/.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4)))) (-.f64 (.f64 a2 a2) (.f64 a1 a1))) (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (+.f64 a1 a2)) (/.f64 (cbrt.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (-.f64 a2 a1))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (/.f64 (/.f64 (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (*.f64 a1 a2) 2)) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (/.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2))) (.f64 (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (cbrt.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))))))
(/.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 (neg.f64 (-.f64 (pow.f64 a2 4) (pow.f64 a1 4))) (.f64 1 (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 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a2 a1) 2)))))
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (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 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6))) (.f64 1 (neg.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))))))
(.f64 (+.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 a2 4) (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 a1 4) (pow.f64 (*.f64 a1 a2) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (.f64 (pow.f64 a1 6) (pow.f64 a1 6))) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (-.f64 (pow.f64 a2 6) (pow.f64 a1 6))))
(/.f64 (-.f64 (pow.f64 a2 12) (pow.f64 a1 12)) (.f64 (-.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2))))
(/.f64 (-.f64 (pow.f64 a2 12) (pow.f64 a1 12)) (.f64 (-.f64 (pow.f64 a2 6) (pow.f64 a1 6)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a1 a2) 2)))))
(/.f64 (-.f64 (pow.f64 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 a1 4) (pow.f64 a2 4)) (.f64 1 (-.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 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (.f64 (pow.f64 a1 4) (pow.f64 a1 4))) (.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a1 4) (pow.f64 a2 4))))
(/.f64 (-.f64 (pow.f64 a2 8) (pow.f64 a1 8)) (.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))
(/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (.f64 (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (.f64 a2 a1) 2))) (+.f64 (.f64 (pow.f64 a2 6) (pow.f64 a2 6)) (-.f64 (.f64 (pow.f64 a1 6) (pow.f64 a1 6)) (*.f64 (pow.f64 a2 6) (pow.f64 a1 6))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (-.f64 (+.f64 (pow.f64 a2 4) (pow.f64 a1 4)) (pow.f64 (.f64 a1 a2) 2))) (+.f64 (pow.f64 a2 12) (-.f64 (pow.f64 a1 12) (.f64 (pow.f64 a2 6) (pow.f64 a1 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 a2 6) 3) (pow.f64 (pow.f64 a1 6) 3)) (+.f64 (pow.f64 a2 4) (-.f64 (pow.f64 a1 4) (pow.f64 (*.f64 a1 a2) 2)))) (fma.f64 (pow.f64 a1 6) (-.f64 (pow.f64 a1 6) (pow.f64 a2 6)) (pow.f64 a2 12)))
(/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (.f64 (pow.f64 a2 4) (pow.f64 a2 4)) (+.f64 (.f64 (pow.f64 a1 4) (pow.f64 a1 4)) (.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (.f64 (-.f64 (.f64 a2 a2) (.f64 a1 a1)) (+.f64 (pow.f64 a2 8) (.f64 (pow.f64 a1 4) (+.f64 (pow.f64 a2 4) (pow.f64 a1 4))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 a2 4) 3) (pow.f64 (pow.f64 a1 4) 3)) (.f64 (-.f64 (.f64 a2 a2) (*.f64 a1 a1)) (+.f64 (pow.f64 a2 8) (fma.f64 (pow.f64 a2 4) (pow.f64 a1 4) (pow.f64 a1 8)))))
(pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 1)
(pow.f64 (hypot.f64 a2 a1) 2)
(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 (pow.f64 (hypot.f64 a2 a1) 2) 3) 1/3)
(pow.f64 (hypot.f64 a2 a1) 2)
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 2))
(sqrt.f64 (pow.f64 (hypot.f64 a2 a1) 4))
(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)
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a2 a1) 2) 3))
(pow.f64 (hypot.f64 a2 a1) 2)
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 a2 a1) 2)))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (*.f64 2 (log.f64 (hypot.f64 a2 a1))))
(pow.f64 (hypot.f64 a2 a1) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (hypot.f64 a2 a1))) 1))
(pow.f64 (hypot.f64 a2 a1) 2)
(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 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 a1 a1 (*.f64 a2 a2))
(fma.f64 1 (.f64 a1 a1) (.f64 a2 a2))
(fma.f64 a2 a2 (*.f64 a1 a1))
(fma.f64 a1 a1 (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a1 4)) (pow.f64 (cbrt.f64 a1) 2) (*.f64 a2 a2))
(fma.f64 (cbrt.f64 (pow.f64 a2 4)) (pow.f64 (cbrt.f64 a2) 2) (*.f64 a1 a1))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
✓	0.4b	(/.f64 a1 (sqrt.f64 2))

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1584×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1458×	`add-cbrt-cube`
158×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	164	28
2	2009	28

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a1) (*.f64 (sqrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) (sqrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 a1) (pow.f64 2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 2)) (/.f64 (sqrt.f64 a1) (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (pow.f64 2 1/4)) (/.f64 (cbrt.f64 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 2)) (cbrt.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a1 (sqrt.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a1 (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 a1 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a1 (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a1 (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a1 (sqrt.f64 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a1) a1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a1) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a1)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a1 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 a1 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a1 (sqrt.f64 2)))))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1190×	`associate-*r/`
900×	`unswap-sqr`
880×	`associate-/l*`
712×	`associate-+r-`
670×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	1080
1	296	1068
2	1246	1068
3	7098	1068

Stop Event

1×	node limit

Counts

66 → 69

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	1.0b	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1646×	`*-un-lft-identity`
1532×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	198	17
2	2302	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 a2 4)) (/.f64 (sqrt.f64 2) (cbrt.f64 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) -1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (cbrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (pow.f64 2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a2 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 a2 a2)) (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2))))))))

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1066×	`log-prod`
754×	`associate-+r+`
748×	`associate-+l+`
722×	`associate-r`
686×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	637
1	155	629
2	600	629
3	3134	629

Stop Event

1×	node limit

Counts

35 → 34

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

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/2 (.f64 th th)))
	0.0b	(+.f64 (.f64 a1 a1) (.f64 a2 a2))
✓	0.6b	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
✓	6.7b	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

Compiler

Compiled 67 to 33 computations (50.7% saved)

series13.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
8.0ms	a1	@	inf	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	inf	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a1	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	th	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
1.0ms	a2	@	0	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))

rewrite117.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-/r*`
1004×	`associate-/l*`
400×	`associate-+l+`
388×	`add-sqr-sqrt`
374×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	384	83
2	5143	83

Stop Event

1×	node limit

Counts

3 → 246

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (sqrt.f64 2)) (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)) (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (sqrt.f64 2)) 1) (*.f64 (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 (fma.f64 -1/2 (*.f64 th th) 1) (sqrt.f64 2)) (*.f64 a2 a2)) 1) (*.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a1 a1)) (sqrt.f64 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (pow.f64 (hypot.f64 a1 a2) 2)) (sqrt.f64 2)))) 1)))) 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#<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (+.f64 1 (*.f64 1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (/.f64 1 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (/.f64 1 (/.f64 1 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))) (/.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4))) (/.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))) 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(-.f64 (*.f64 (pow.f64 th 4) 1/4) 1) (-.f64 (*.f64 -1/2 (*.f64 th th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) 1) (+.f64 1 (*.f64 1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (sqrt.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th))))) (sqrt.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (*.f64 (cbrt.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th)))) (cbrt.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th)))))) (cbrt.f64 (+.f64 1 (*.f64 1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) 1) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th)))))) (sqrt.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))) (cbrt.f64 (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 th th) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/2 (*.f64 th th) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 th th) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/2 (*.f64 th th) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/2 (*.f64 th th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 th th) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 th th) -1/2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 th (sqrt.f64 -1/2)) (*.f64 th (sqrt.f64 -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 th 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 th) th 1)))))

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1648×	`associate-/l*`
1084×	`associate-r`
986×	`associate-/l/`
904×	`associate-/r*`
836×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	648	19074
1	1642	18210

Stop Event

1×	node limit

Counts

306 → 405

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.5b	(/.f64 (sqrt.f64 2) (*.f64 a1 a1))
✓	0.9b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`associate-/l*`
1502×	`associate-*l/`
1102×	`*-commutative`
588×	`associate-/r/`
394×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	230	44
2	3092	44

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 th)) (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a1 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a1) 2) (*.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) (/.f64 (cos.f64 th) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 a1 a1)) (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 th)) (neg.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (cos.f64 th) (sqrt.f64 2))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 2)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (*.f64 (cos.f64 th) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (cos.f64 th) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) (*.f64 (cos.f64 th) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (pow.f64 a1 -2)) (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))) (/.f64 1 (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (/.f64 (cos.f64 th) (sqrt.f64 2))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (neg.f64 (sqrt.f64 2))) (neg.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 2))) (*.f64 (cos.f64 th) (neg.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (pow.f64 a1 -2)) (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) 1) (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (sqrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (sqrt.f64 (cos.f64 th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))) (/.f64 (sqrt.f64 (cos.f64 th)) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 a1 -2)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) a1) (*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (cos.f64 th)) (pow.f64 2 1/4)) a1) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (pow.f64 2 1/4)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (neg.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 th)) 2) (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) -1) (neg.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (neg.f64 (/.f64 (sqrt.f64 2) a1))) (neg.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 (sqrt.f64 a1)))) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)))) (cbrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) (pow.f64 (cbrt.f64 (cos.f64 th)) 2))) (cbrt.f64 (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) 1) (/.f64 a1 (/.f64 1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 a1)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (/.f64 1 (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) -1) (neg.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cos.f64 th)) -1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cos.f64 th)) (neg.f64 (/.f64 (sqrt.f64 2) a1))) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (cos.f64 th)) (sqrt.f64 2)) (neg.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) 1) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (cbrt.f64 2)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) a1)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (neg.f64 (sqrt.f64 2))) (neg.f64 (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) 1)) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 (sqrt.f64 a1)))) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (/.f64 (sqrt.f64 2) (*.f64 a1 (pow.f64 (cbrt.f64 a1) 2)))) (cbrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) -1) (neg.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) 1) (neg.f64 (/.f64 (sqrt.f64 2) a1))) (neg.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) 1) (sqrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (/.f64 (pow.f64 2 1/4) a1)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (sqrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) 1) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (cbrt.f64 (sqrt.f64 2))) (pow.f64 (cbrt.f64 a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (cbrt.f64 (neg.f64 (sqrt.f64 2)))) (cbrt.f64 (neg.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (cos.f64 th) (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1))) (cbrt.f64 a1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (pow.f64 a1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (neg.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 th) 2) (/.f64 2 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 th) (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (pow.f64 a1 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a1) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) (cbrt.f64 (/.f64 2 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) a1) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a1 -2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (neg.f64 (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 2 1/4) (pow.f64 a1 -2)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 a1 -2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 1) (pow.f64 a1 -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 a1 4))) (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 1 (cbrt.f64 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (pow.f64 2 1/4) a1)) (neg.f64 (/.f64 (pow.f64 2 1/4) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 a1 4)))) (neg.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (*.f64 a1 a1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1) (/.f64 (cbrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 2 (pow.f64 a1 4))) 1) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (*.f64 a1 a1)) (/.f64 (pow.f64 2 1/4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a1 4))) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (pow.f64 a1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) a1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 a1 a1)) (/.f64 (cbrt.f64 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a1 4))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (*.f64 a1 a1)) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a1 (/.f64 (cbrt.f64 2) a1))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2))))) (sqrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2)))) (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2)))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 2 1/4) a1))) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (pow.f64 a1 4))))) (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 2 1/4) a1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) (neg.f64 (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (pow.f64 a1 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (*.f64 a1 a1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) (pow.f64 a1 -2))))))))

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1400×	`unswap-sqr`
694×	`distribute-rgt-in`
678×	`distribute-lft-in`
578×	`distribute-lft-neg-in`
542×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	363	5879
1	1059	5741
2	3874	5741

Stop Event

1×	node limit

Counts

187 → 225

Calls

Call 1

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

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

eval502.0ms (2.8%)

Compiler: Compiled 27354 to 17020 computations (37.8% saved)

prune328.0ms (1.8%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1204	11	1215
Fresh	3	22	25
Picked	0	1	1
Done	1	4	5
Total	1208	38	1246

Error

Counts

1246 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	38.2b	(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
✓	0.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	26.6b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	42.9b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	46.4b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a1 a1)) (sqrt.f64 2))
▶	23.8b	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
	38.2b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	30.2b	(/.f64 (.f64 a1 (.f64 a1 (cos.f64 th))) (sqrt.f64 2))
	41.8b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	23.8b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	30.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	23.8b	(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
	38.2b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	30.2b	(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) a1) (cos.f64 th)))
	41.8b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	38.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	41.8b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
▶	42.9b	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))
▶	30.4b	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
	30.2b	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
✓	0.7b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	38.2b	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	38.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	41.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	42.9b	(.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (/.f64 (.f64 a2 a2) (sqrt.f64 2)))
	30.4b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
▶	38.2b	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	26.6b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	23.8b	(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
	23.9b	(.f64 (cos.f64 th) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
	23.9b	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
	23.9b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
	41.8b	(*.f64 a1 (pow.f64 (/.f64 (sqrt.f64 2) a1) -1))
✓	41.8b	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	41.8b	(.f64 a1 (.f64 (pow.f64 2 -1/2) a1))
	41.8b	(.f64 a1 (.f64 (neg.f64 a1) (/.f64 1 (neg.f64 (sqrt.f64 2)))))
▶	52.5b	(.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)))
	52.5b	(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))

Compiler

Compiled 858 to 657 computations (23.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.1b	(*.f64 a2 (cos.f64 th))
✓	0.2b	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
✓	0.4b	(/.f64 (sqrt.f64 2) a2)

Compiler

Compiled 27 to 15 computations (44.4% saved)

series3.0ms (0%)

Counts

3 → 40

Calls

15 calls:

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`unswap-sqr`
860×	`swap-sqr`
836×	`associate-/r/`
614×	`associate-/l/`
410×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	231	49
2	3146	49

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (neg.f64 (/.f64 -1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))) (neg.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a2) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 2)) (/.f64 -1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a2)) (/.f64 (sqrt.f64 2) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 a2) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) a2) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a2) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 a2)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a2) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a2 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 a2 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (sqrt.f64 2))) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 2) a2) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))) (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (cbrt.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2))) (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) (sqrt.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 2 (*.f64 a2 a2)))) (cbrt.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 1 a2)) (pow.f64 2 1/4)) (*.f64 (sqrt.f64 (/.f64 1 a2)) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 a2 (sqrt.f64 2)) -1/2) (pow.f64 (/.f64 a2 (sqrt.f64 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 2) a2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) a2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (sqrt.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (sqrt.f64 2) (neg.f64 a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 2 (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) a2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) a2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) a2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) a2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (*.f64 (cos.f64 th) (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 th) (*.f64 a2 (/.f64 a2 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (cos.f64 th)) (/.f64 a2 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) (sqrt.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a2 (cos.f64 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expm1.f64 (log1p.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (*.f64 (/.f64 a2 (sqrt.f64 2)) (cos.f64 th)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a2 (cos.f64 th)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (cos.f64 th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a2 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a2 (cos.f64 th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a2 (neg.f64 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a2) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a2 (cos.f64 th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a2 (cos.f64 th)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a2 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 th) 3) (pow.f64 a2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a2 (cos.f64 th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a2 (cos.f64 th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a2 (cos.f64 th))))))))

simplify111.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1752×	`distribute-lft-in`
1090×	`times-frac`
866×	`associate-/l*`
842×	`associate-r`
776×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	6687
1	1365	6345
2	6797	6345

Stop Event

1×	node limit

Counts

233 → 263

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`add-sqr-sqrt`
1348×	`*-un-lft-identity`
1250×	`add-cube-cbrt`
1234×	`add-cbrt-cube`
1222×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	17
2	1800	17

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/2 (pow.f64 a2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/2)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a2 a2) (sqrt.f64 1/2))))))))

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1450×	`distribute-rgt-in`
1422×	`distribute-lft-in`
1212×	`log-prod`
736×	`associate-r`
700×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	391
1	96	391
2	364	391
3	1993	391

Stop Event

1×	node limit

Counts

23 → 15

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a1 (sqrt.f64 (/.f64 (.f64 a1 a1) 2)))
✓	0.2b	(/.f64 (*.f64 a1 a1) 2)
✓	21.6b	(sqrt.f64 (/.f64 (*.f64 a1 a1) 2))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite64.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1702×	`add-sqr-sqrt`
1674×	`*-un-lft-identity`
1564×	`add-cube-cbrt`
1548×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	186	41
2	2272	41

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (pow.f64 1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/4))) (sqrt.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 a1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/4)) 1/2) (pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 2 (*.f64 a1 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 a1) (sqrt.f64 (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (*.f64 a1 a1))) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 a1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 1/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (sqrt.f64 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (sqrt.f64 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (*.f64 a1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 1 (/.f64 2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (*.f64 a1 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (sqrt.f64 1/2)) (*.f64 a1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 a1 (*.f64 a1 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) (*.f64 (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))) (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a1 4)) (*.f64 (pow.f64 (cbrt.f64 a1) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 a1 4) 1/4)) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 a1 a1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2)))) (sqrt.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a1 (sqrt.f64 1/2)) (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2)))) (cbrt.f64 (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (sqrt.f64 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a1 4) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (*.f64 a1 a1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 a1 a1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a1 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (*.f64 a1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (*.f64 a1 (sqrt.f64 1/2)))))))))

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1622×	`associate-*r/`
830×	`*-commutative`
688×	`distribute-lft-in`
658×	`distribute-rgt-in`
642×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	168	1880
1	371	1836
2	1881	1836
3	6014	1836

Stop Event

1×	node limit

Counts

114 → 99

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 th th))
	0.0b	(+.f64 1 (.f64 -1/2 (.f64 th th)))
	0.6b	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))
✓	10.8b	(.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (.f64 a2 a2))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`associate-*r/`
1646×	`associate-*l/`
1036×	`associate-/r*`
306×	`add-sqr-sqrt`
300×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	310	50
2	3886	50

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/2 (*.f64 th th) 1) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 a2)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (*.f64 a2 a2)) (/.f64 (sqrt.f64 2) (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a2 a2) (sqrt.f64 2)) (/.f64 1 (fma.f64 -1/2 (*.f64 th th) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (/.f64 (hypot.f64 1 (*.f64 th (sqrt.f64 -1/2))) (pow.f64 2 1/4))) (sqrt.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/2 (*.f64 th th) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a2 a2) (neg.f64 (fma.f64 -1/2 (*.f64 th th) 1))) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 th 4) 1/4)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 2) (+.f64 1 (*.f64 1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8)) (*.f64 a2 a2)) (*.f64 (sqrt.f64 2) (+.f64 1 (+.f64 (*.f64 (pow.f64 th 4) 1/4) (*.f64 1/2 (*.f64 th th))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 -1/2 (*.f64 th th) 1)) (*.f64 a2 a2)) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 -1/2 (*.f64 th th) 1) (*.f64 a2 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -1/2 (*.f64 th th)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 th th)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/2 (*.f64 th th) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 th th) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 1/2 (*.f64 th th)))) (+.f64 (/.f64 (*.f64 (pow.f64 th 4) 1/4) (+.f64 1 (*.f64 1/2 (*.f64 th th)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/2 (*.f64 th th)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 th (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 th th))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 th 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 th th)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/2 (*.f64 th th)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 th th) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/2 (*.f64 th th))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/2 (*.f64 th th))))))))

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

996×	`times-frac`
866×	`distribute-lft-neg-in`
834×	`associate-/l/`
792×	`distribute-rgt-neg-in`
778×	`distribute-lft-neg-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	448	9467
1	1218	8877
2	5657	8877

Stop Event

1×	node limit

Counts

199 → 235

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 th)
✓	0.3b	(.f64 (/.f64 (.f64 a1 a1) (sqrt.f64 2)) (cos.f64 th))
✓	0.3b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))

Compiler

Compiled 28 to 15 computations (46.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`associate-*r/`
1126×	`associate-/r*`
1014×	`*-commutative`
916×	`associate-/l*`
870×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	224	44
2	2850	44

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a1 (/.f64 a1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 a1) (pow.f64 2 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (pow.f64 2 1/4)) (/.f64 a1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))) (/.f64 (cbrt.f64 (pow.f64 a1 4)) (cbrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 a1 4) 2)) (cbrt.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a1 4)) (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 -1/2) (*.f64 a1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a1 (neg.f64 a1)) (/.f64 -1 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (cbrt.f64 (pow.f64 a1 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (sqrt.f64 2)) (/.f64 (cbrt.f64 (pow.f64 a1 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 2 1/4)) (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 2)) (/.f64 a1 (/.f64 (cbrt.f64 (sqrt.f64 2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a1 a1) (pow.f64 2 1/4)) (/.f64 1 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 2)) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 th) (/.f64 (cbrt.f64 2) (cbrt.f64 (pow.f64 a1 4)))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (pow.f64 (cbrt.f64 a1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 2)) (/.f64 1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) 1) (/.f64 (sqrt.f64 2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (sqrt.f64 (/.f64 (sqrt.f64 2) a1))) (sqrt.f64 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) a1)) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))) (cbrt.f64 (/.f64 (sqrt.f64 2) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 1 (sqrt.f64 a1))) (/.f64 (sqrt.f64 2) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 1 (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (sqrt.f64 2) (cbrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) 1)) (/.f64 (pow.f64 2 1/4) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a1))) (/.f64 (pow.f64 2 1/4) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) 1)) (/.f64 (cbrt.f64 (sqrt.f64 2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (sqrt.f64 a1))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (cos.f64 th)) (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 a1) 2))) (/.f64 (pow.f64 2 1/4) (cbrt.f64 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) 1) (neg.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) (pow.f64 2 1/4)) (neg.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) (cbrt.f64 2)) (neg.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) (sqrt.f64 (neg.f64 (sqrt.f64 2)))) (sqrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 2))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))) (cbrt.f64 (neg.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) -1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) (neg.f64 (pow.f64 2 1/4))) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 (neg.f64 (*.f64 a1 (cos.f64 th)))) (neg.f64 (cbrt.f64 2))) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 1 (*.f64 a1 (cos.f64 th)))) 1) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 1 (*.f64 a1 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (cos.f64 th)))) 1) (pow.f64 2 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (cos.f64 th)))) (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (cos.f64 th)))) (sqrt.f64 (pow.f64 2 1/4))) (sqrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (pow.f64 2 1/4) (*.f64 a1 (cos.f64 th)))) (sqrt.f64 (cbrt.f64 2))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) (*.f64 a1 (cos.f64 th)))) 1) (cbrt.f64 (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) (*.f64 a1 (cos.f64 th)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) (*.f64 a1 (cos.f64 th)))) (cbrt.f64 (pow.f64 2 1/4))) (cbrt.f64 (pow.f64 2 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) (*.f64 a1 (cos.f64 th)))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a1 (/.f64 (cbrt.f64 2) (*.f64 a1 (cos.f64 th)))) (cbrt.f64 (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a1 (pow.f64 2 1/4)) (sqrt.f64 (cos.f64 th))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 a1 a1) (neg.f64 (sqrt.f64 2))) (cos.f64 th)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 a1 4) 2) (pow.f64 (cos.f64 th) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 th)) (/.f64 (*.f64 a1 a1) (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 a1 a1) (sqrt.f64 2)) 3) (pow.f64 (cos.f64 th) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a1 a1) (/.f64 (cos.f64 th) (sqrt.f64 2)))))))))

simplify102.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/l*`
928×	`associate-/l/`
600×	`associate-/r/`
564×	`distribute-rgt-in`
558×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	477	7545
1	1288	7329
2	5879	7329

Stop Event

1×	node limit

Counts

219 → 257

Calls

Call 1

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

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

eval343.0ms (1.9%)

Compiler: Compiled 18382 to 11848 computations (35.5% saved)

prune272.0ms (1.5%)

Pruning

42 alts after pruning (35 fresh and 7 done)

	Pruned	Kept	Total
New	1044	14	1058
Fresh	7	21	28
Picked	1	0	1
Done	2	7	9
Total	1054	42	1096

Error

Counts

1096 → 42

Alt Table

Click to see full alt table

Status	Error	Program
	38.2b	(pow.f64 (*.f64 a2 (pow.f64 1/2 1/4)) 2)
	38.2b	(/.f64 (/.f64 (*.f64 a2 a2) (pow.f64 2 1/4)) (pow.f64 2 1/4))
✓	0.7b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
	26.6b	(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (sqrt.f64 2))
	42.9b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a2 a2)) (sqrt.f64 2))
	46.4b	(/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 th th)) 1) (.f64 a1 a1)) (sqrt.f64 2))
	57.3b	(/.f64 (.f64 (.f64 -1/2 (.f64 a2 a2)) (.f64 th th)) (sqrt.f64 2))
	42.9b	(/.f64 (.f64 a2 (+.f64 1 (.f64 -1/2 (*.f64 th th)))) (/.f64 (sqrt.f64 2) a2))
✓	23.8b	(/.f64 (*.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2))
	38.2b	(/.f64 (*.f64 a2 a2) (sqrt.f64 2))
	41.8b	(/.f64 (*.f64 a1 a1) (sqrt.f64 2))
	23.8b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
✓	30.5b	(/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	23.8b	(/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th)))
	38.2b	(/.f64 a2 (/.f64 (sqrt.f64 2) a2))
	30.2b	(/.f64 a1 (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) a1))
	30.2b	(/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th))))
	41.8b	(/.f64 a1 (/.f64 (sqrt.f64 2) a1))
	38.2b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a2 a2)))
	41.8b	(/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1)))
	57.3b	(.f64 (/.f64 (.f64 -1/2 (.f64 th th)) (sqrt.f64 2)) (.f64 a2 a2))
	30.2b	(*.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1)
✓	0.7b	(.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (*.f64 a2 a2)))
	23.9b	(.f64 (/.f64 a2 (sqrt.f64 2)) (.f64 a2 (cos.f64 th)))
	38.2b	(*.f64 (/.f64 a2 (sqrt.f64 2)) a2)
✓	38.2b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a2 a2))
	41.8b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 a1 a1))
	30.4b	(.f64 (.f64 (pow.f64 2 -1/2) (cos.f64 th)) (*.f64 a1 a1))
✓	38.2b	(.f64 (.f64 a2 a2) (sqrt.f64 1/2))
	26.6b	(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
	52.6b	(.f64 (sqrt.f64 1/2) (.f64 a1 (neg.f64 a1)))
	41.8b	(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
	23.8b	(.f64 (cos.f64 th) (.f64 (pow.f64 2 -1/2) (*.f64 a2 a2)))
	23.9b	(.f64 a2 (/.f64 (.f64 a2 (cos.f64 th)) (sqrt.f64 2)))
	23.9b	(.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))
✓	41.8b	(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
	41.8b	(*.f64 a1 (/.f64 1 (/.f64 (sqrt.f64 2) a1)))
	52.5b	(.f64 a1 (/.f64 1 (sqrt.f64 (/.f64 2 (.f64 a1 a1)))))
	52.6b	(.f64 a1 (.f64 (sqrt.f64 1/2) (neg.f64 a1)))
	41.8b	(.f64 a1 (.f64 (sqrt.f64 1/2) a1))
	41.8b	(.f64 a1 (.f64 a1 (/.f64 1 (sqrt.f64 2))))
	52.5b	(*.f64 a1 (sqrt.f64 (/.f64 a1 (/.f64 2 a1))))

Compiler

Compiled 500 to 383 computations (23.4% saved)

regimes261.0ms (1.5%)

Counts

75 → 1

Calls

Call 1

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

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

Calls

8 calls:

38.0ms	a2
36.0ms	th
36.0ms	a1
33.0ms	(cos.f64 th)
31.0ms	(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(+.f64 (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a1 a1)) (.f64 (/.f64 (cos.f64 th) (sqrt.f64 2)) (.f64 a2 a2)))`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 821 to 447 computations (45.6% saved)

regimes211.0ms (1.2%)

Counts

72 → 1

Calls

Call 1

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

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

Calls

7 calls:

33.0ms	th
33.0ms	a2
33.0ms	a1
28.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
28.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.4b	1	`a1`
0.4b	1	`a2`
0.4b	1	`th`
0.4b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.4b	1	`(cos.f64 th)`
0.4b	1	`(*.f64 a1 a1)`
0.4b	1	`(*.f64 a2 a2)`

Compiler

Compiled 751 to 407 computations (45.8% saved)

regimes214.0ms (1.2%)

Counts

71 → 1

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	a2
35.0ms	a1
34.0ms	th
29.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
27.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.6b	1	`a1`
0.6b	1	`a2`
0.6b	1	`th`
0.6b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.6b	1	`(cos.f64 th)`
0.6b	1	`(*.f64 a1 a1)`
0.6b	1	`(*.f64 a2 a2)`

Compiler

Compiled 738 to 402 computations (45.5% saved)

regimes213.0ms (1.2%)

Counts

69 → 1

Calls

Call 1

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

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

Calls

7 calls:

36.0ms	a1
33.0ms	a2
31.0ms	th
30.0ms	(cos.f64 th)
27.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
0.7b	1	`a1`
0.7b	1	`a2`
0.7b	1	`th`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(cos.f64 th)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 700 to 387 computations (44.7% saved)

regimes186.0ms (1%)

Counts

63 → 1

Calls

Call 1

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

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

Calls

7 calls:

30.0ms	a1
29.0ms	a2
29.0ms	th
26.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
24.0ms	(cos.f64 th)

Results

Error	Segments	Branch
0.7b	1	`a1`
0.7b	1	`a2`
0.7b	1	`th`
0.7b	1	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
0.7b	1	`(cos.f64 th)`
0.7b	1	`(*.f64 a1 a1)`
0.7b	1	`(*.f64 a2 a2)`

Compiler

Compiled 630 to 355 computations (43.7% saved)

regimes669.0ms (3.8%)

Counts

61 → 2

Calls

Call 1

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

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

Calls

7 calls:

156.0ms	a1
149.0ms	th
92.0ms	(cos.f64 th)
85.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
71.0ms	(*.f64 a2 a2)

Results

Error	Segments	Branch
6.5b	6	`a1`
5.2b	2	`a2`
10.8b	6	`th`
11.6b	4	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
11.6b	4	`(cos.f64 th)`
11.8b	4	`(*.f64 a1 a1)`
7.3b	4	`(*.f64 a2 a2)`

Compiler

Compiled 604 to 347 computations (42.5% saved)

bsearch46.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	1.836985769060384e-128	9.347246759895563e-121

Results

27.0ms	54×	body	1024	valid
13.0ms	79×	body	256	valid
3.0ms	11×	body	512	valid

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes781.0ms (4.4%)

Counts

54 → 2

Calls

Call 1

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

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

Calls

7 calls:

151.0ms	(*.f64 a2 a2)
143.0ms	a1
139.0ms	(cos.f64 th)
138.0ms	th
75.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
6.5b	6	`a1`
5.2b	2	`a2`
10.9b	6	`th`
11.6b	4	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
11.6b	4	`(cos.f64 th)`
11.8b	4	`(*.f64 a1 a1)`
7.3b	4	`(*.f64 a2 a2)`

Compiler

Compiled 534 to 310 computations (41.9% saved)

bsearch45.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	1.836985769060384e-128	9.347246759895563e-121

Results

21.0ms	45×	body	1024	valid
12.0ms	73×	body	256	valid
9.0ms	26×	body	512	valid

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes585.0ms (3.3%)

Counts

50 → 2

Calls

Call 1

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

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

Calls

7 calls:

134.0ms	a1
127.0ms	th
72.0ms	(cos.f64 th)
71.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
68.0ms	a2

Results

Error	Segments	Branch
6.6b	6	`a1`
5.2b	2	`a2`
10.9b	6	`th`
11.6b	4	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
11.6b	4	`(cos.f64 th)`
11.9b	4	`(*.f64 a1 a1)`
7.3b	4	`(*.f64 a2 a2)`

Compiler

Compiled 498 to 293 computations (41.2% saved)

bsearch44.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
43.0ms	1.836985769060384e-128	9.347246759895563e-121

Results

22.0ms	49×	body	1024	valid
13.0ms	80×	body	256	valid
5.0ms	15×	body	512	valid

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes536.0ms (3%)

Counts

47 → 2

Calls

Call 1

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

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

Calls

7 calls:

118.0ms	th
118.0ms	a1
65.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
63.0ms	(cos.f64 th)
61.0ms	a2

Results

Error	Segments	Branch
6.6b	6	`a1`
5.2b	2	`a2`
10.9b	6	`th`
11.6b	4	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
11.6b	4	`(cos.f64 th)`
11.9b	4	`(*.f64 a1 a1)`
7.3b	4	`(*.f64 a2 a2)`

Compiler

Compiled 471 to 278 computations (41% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	1.836985769060384e-128	9.347246759895563e-121

Results

22.0ms	47×	body	1024	valid
12.0ms	80×	body	256	valid
5.0ms	17×	body	512	valid

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes504.0ms (2.8%)

Counts

45 → 2

Calls

Call 1

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

Calls

7 calls:

114.0ms	a1
112.0ms	th
61.0ms	(cos.f64 th)
60.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))
58.0ms	a2

Results

Error	Segments	Branch
6.8b	6	`a1`
5.4b	2	`a2`
10.9b	6	`th`
11.6b	4	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
11.6b	4	`(cos.f64 th)`
12.1b	4	`(*.f64 a1 a1)`
7.3b	4	`(*.f64 a2 a2)`

Compiler

Compiled 453 to 269 computations (40.6% saved)

bsearch42.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
42.0ms	1.836985769060384e-128	9.347246759895563e-121

Results

22.0ms	50×	body	1024	valid
12.0ms	79×	body	256	valid
4.0ms	15×	body	512	valid

Compiler

Compiled 262 to 200 computations (23.7% saved)

regimes265.0ms (1.5%)

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

56.0ms	th
54.0ms	a2
36.0ms	(*.f64 a2 a2)
35.0ms	a1
29.0ms	(cos.f64 th)

Results

Error	Segments	Branch
15.6b	2	`a1`
14.6b	2	`a2`
13.0b	3	`th`
13.1b	2	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
13.1b	2	`(cos.f64 th)`
18.0b	2	`(*.f64 a1 a1)`
15.5b	4	`(*.f64 a2 a2)`

Compiler

Compiled 408 to 249 computations (39% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	8.188942088758557e-17	1.0587849855172327e-11
12.0ms	-0.01114958207641409	-0.007284515810508123

Results

35.0ms	208×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 483 to 358 computations (25.9% saved)

regimes259.0ms (1.5%)

Counts

39 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

7 calls:

51.0ms	th
50.0ms	a2
38.0ms	(*.f64 a2 a2)
36.0ms	a1
29.0ms	(/.f64 (cos.f64 th) (sqrt.f64 2))

Results

Error	Segments	Branch
15.7b	2	`a1`
14.6b	2	`a2`
13.1b	3	`th`
13.1b	2	`(/.f64 (cos.f64 th) (sqrt.f64 2))`
13.1b	2	`(cos.f64 th)`
18.0b	2	`(*.f64 a1 a1)`
15.5b	4	`(*.f64 a2 a2)`

Compiler

Compiled 399 to 244 computations (38.8% saved)

bsearch37.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	8.188942088758557e-17	1.0587849855172327e-11
13.0ms	-0.01114958207641409	-0.007284515810508123

Results

34.0ms

208×

body

256

valid

Compiler

Compiled 483 to 358 computations (25.9% saved)

regimes81.0ms (0.5%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	a2
17.0ms	th
17.0ms	a1
11.0ms	(*.f64 a2 a2)
9.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
26.6b	1	`a1`
26.6b	1	`a2`
26.6b	1	`th`
26.6b	1	`(*.f64 a1 a1)`
26.6b	1	`(*.f64 a2 a2)`

Compiler

Compiled 359 to 217 computations (39.6% saved)

regimes150.0ms (0.8%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

5 calls:

53.0ms	th
26.0ms	(*.f64 a1 a1)
23.0ms	(*.f64 a2 a2)
22.0ms	a2
21.0ms	a1

Results

Error	Segments	Branch
31.1b	2	`a1`
29.2b	2	`a2`
35.7b	5	`th`
32.1b	4	`(*.f64 a1 a1)`
29.9b	4	`(*.f64 a2 a2)`

Compiler

Compiled 186 to 122 computations (34.4% saved)

bsearch36.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
36.0ms	3.890028387424542e-157	4.4394138582351066e-154

Results

18.0ms	41×	body	1024	valid
11.0ms	70×	body	256	valid
5.0ms	17×	body	512	valid

Compiler

Compiled 204 to 164 computations (19.6% saved)

regimes128.0ms (0.7%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	th
23.0ms	(*.f64 a1 a1)
20.0ms	(*.f64 a2 a2)
18.0ms	a2
18.0ms	a1

Results

Error	Segments	Branch
31.1b	2	`a1`
29.2b	2	`a2`
35.7b	5	`th`
32.1b	4	`(*.f64 a1 a1)`
29.9b	4	`(*.f64 a2 a2)`

Compiler

Compiled 150 to 99 computations (34% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	3.890028387424542e-157	4.4394138582351066e-154

Results

19.0ms	43×	body	1024	valid
10.0ms	64×	body	256	valid
7.0ms	21×	body	512	valid

Compiler

Compiled 188 to 148 computations (21.3% saved)

regimes65.0ms (0.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	th
13.0ms	(*.f64 a1 a1)
11.0ms	(*.f64 a2 a2)
9.0ms	a2
9.0ms	a1

Results

Error	Segments	Branch
31.1b	2	`a1`
29.2b	2	`a2`
35.7b	5	`th`
32.1b	4	`(*.f64 a1 a1)`
30.0b	4	`(*.f64 a2 a2)`

Compiler

Compiled 63 to 44 computations (30.2% saved)

bsearch38.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
38.0ms	3.890028387424542e-157	4.4394138582351066e-154

Results

19.0ms	41×	body	1024	valid
12.0ms	70×	body	256	valid
5.0ms	17×	body	512	valid

Compiler

Compiled 188 to 148 computations (21.3% saved)

regimes59.0ms (0.3%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	th
12.0ms	(*.f64 a1 a1)
11.0ms	(*.f64 a2 a2)
9.0ms	a1
7.0ms	a2

Results

Error	Segments	Branch
31.1b	2	`a1`
29.3b	2	`a2`
35.7b	5	`th`
32.2b	4	`(*.f64 a1 a1)`
30.0b	4	`(*.f64 a2 a2)`

Compiler

Compiled 51 to 36 computations (29.4% saved)

bsearch37.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
37.0ms	3.890028387424542e-157	4.4394138582351066e-154

Results

19.0ms	45×	body	1024	valid
11.0ms	64×	body	256	valid
5.0ms	19×	body	512	valid

Compiler

Compiled 188 to 148 computations (21.3% saved)

regimes15.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	a1
3.0ms	th
3.0ms	a2
3.0ms	(*.f64 a1 a1)

Results

Error	Segments	Branch
41.8b	1	`a1`
41.8b	1	`a2`
41.8b	1	`th`
41.8b	1	`(*.f64 a1 a1)`

Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.1%)

Threshold costs -0.1b (-0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a2
3.0ms	th
3.0ms	a1

Results

Error	Segments	Branch
41.8b	1	`a1`
41.8b	1	`a2`
41.8b	1	`th`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	996
1	131	996

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (hypot.f64 a1 a2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (hypot.f64 a1 a2)))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(if (<=.f64 a2 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 1548108335651699/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))) (/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th))))
(if (<=.f64 a2 8048257981283417/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a2 441917944371729/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a2 1548108335651699/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 th -3170534137668829/288230376151711744) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 3249592603124123/309485009821345068724781056) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 th -3170534137668829/288230376151711744) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 3249592603124123/309485009821345068724781056) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(if (<=.f64 a2 6642173867685913/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 5585464388735881/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 320786806109831/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a2 6642173867685913/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a1 (.f64 (sqrt.f64 1/2) a1))

Outputs
(/.f64 (hypot.f64 a1 a2) (/.f64 (/.f64 (sqrt.f64 2) (cos.f64 th)) (hypot.f64 a1 a2)))
(/.f64 (*.f64 (hypot.f64 a1 a2) (cos.f64 th)) (/.f64 (sqrt.f64 2) (hypot.f64 a1 a2)))
(.f64 (cos.f64 th) (.f64 (fma.f64 a2 a2 (*.f64 a1 a1)) (pow.f64 2 -1/2)))
(/.f64 (+.f64 (.f64 a2 a2) (.f64 a1 a1)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(/.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (sqrt.f64 2) (cos.f64 th)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a2 a2) (*.f64 a1 a1)) (sqrt.f64 2)))
(.f64 (cos.f64 th) (/.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 2)))
(if (<=.f64 a2 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (/.f64 (.f64 a2 (cos.f64 th)) (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 1548108335651699/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904) (/.f64 a1 (/.f64 (sqrt.f64 2) (*.f64 a1 (cos.f64 th)))) (/.f64 a2 (/.f64 (/.f64 (sqrt.f64 2) a2) (cos.f64 th))))
(if (<=.f64 a2 8048257981283417/48777321098687378615337456715518223527321845979140174232174327494146433419058837814379782860367062049372295798771978482741374619988879457910784) (/.f64 a1 (/.f64 (sqrt.f64 2) (.f64 a1 (cos.f64 th)))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a2 441917944371729/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1)) a1) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a2 441917944371729/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 a1 (/.f64 (cos.f64 th) (/.f64 (sqrt.f64 2) a1))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 a2 1548108335651699/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808) (.f64 (cos.f64 th) (/.f64 (.f64 a1 a1) (sqrt.f64 2))) (*.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2))))
(if (<=.f64 th -3170534137668829/288230376151711744) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 3249592603124123/309485009821345068724781056) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 th -3170534137668829/288230376151711744) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 3249592603124123/309485009821345068724781056) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2))) (.f64 (cos.f64 th) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))))
(if (<=.f64 th -3170534137668829/288230376151711744) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (if (<=.f64 th 3249592603124123/309485009821345068724781056) (.f64 (/.f64 (+.f64 1 (.f64 -1/2 (.f64 th th))) (sqrt.f64 2)) (+.f64 (.f64 a1 a1) (.f64 a2 a2))) (.f64 a2 (*.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2))))))
(if (or (<=.f64 th -3170534137668829/288230376151711744) (not (<=.f64 th 3249592603124123/309485009821345068724781056))) (.f64 a2 (.f64 a2 (/.f64 (cos.f64 th) (sqrt.f64 2)))) (.f64 (+.f64 (.f64 a1 a1) (.f64 a2 a2)) (/.f64 (+.f64 1 (.f64 -1/2 (*.f64 th th))) (sqrt.f64 2))))
(.f64 (sqrt.f64 1/2) (+.f64 (.f64 a2 a2) (*.f64 a1 a1)))
(.f64 (+.f64 (.f64 a1 a1) (*.f64 a2 a2)) (sqrt.f64 1/2))
(if (<=.f64 a2 6642173867685913/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (/.f64 1 (/.f64 (sqrt.f64 2) (*.f64 a1 a1))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 5585464388735881/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (*.f64 a1 (/.f64 a1 (sqrt.f64 2))) (/.f64 a2 (/.f64 (sqrt.f64 2) a2)))
(if (<=.f64 a2 320786806109831/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (/.f64 a2 (sqrt.f64 2)) a2))
(if (<=.f64 a2 320786806109831/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 a2 (/.f64 a2 (sqrt.f64 2))))
(if (<=.f64 a2 6642173867685913/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (.f64 a1 (/.f64 a1 (sqrt.f64 2))) (.f64 (*.f64 a2 a2) (sqrt.f64 1/2)))
(.f64 (sqrt.f64 1/2) (.f64 a1 a1))
(.f64 (.f64 a1 a1) (sqrt.f64 1/2))
(*.f64 a1 (/.f64 a1 (sqrt.f64 2)))
(.f64 a1 (.f64 (sqrt.f64 1/2) a1))
(.f64 a1 (.f64 a1 (sqrt.f64 1/2)))

Compiler

Compiled 409 to 286 computations (30.1% saved)

soundness16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`fma-def`
50×	`*-commutative`
40×	`associate-/l*`
18×	`associate-/r/`
16×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	30	35
2	56	35
3	79	35
4	106	35
5	124	35
6	142	35
7	147	35
8	149	35

Stop Event

1×

saturated

Compiler

Compiled 35 to 20 computations (42.9% saved)

end159.0ms (0.9%)

Remove: (sort a1 a2)
Compiler: Compiled 384 to 217 computations (43.5% saved)

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3

Iter	Nodes	Cost
0	27	156
1	72	140
2	146	140
3	208	140
4	286	140
5	334	140
6	382	140
7	395	140
8	401	140
0	3	3
1	3	3