Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.7s (18.5%)

Results

866.0ms	2235×	body	2048	valid
471.0ms	4521×	body	256	valid
273.0ms	962×	body	1024	valid
109.0ms	538×	body	512	valid

Bogosity

preprocess7.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

18×	`+-commutative`
16×	`fma-def`
10×	`associate-+l-`
8×	`*-commutative`
8×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	40	29
4	47	29
5	57	29
6	73	29
7	83	29
8	86	29
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative`
16×	`fma-def`
10×	`associate-+l-`
8×	`*-commutative`
8×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	40	29
4	47	29
5	57	29
6	73	29
7	83	29
8	86	29

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (*.f64 1/2 (/.f64 1 (hypot.f64 1 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

eval1.0ms (0%)

Compiler: Compiled 35 to 32 computations (8.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

14.9b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	2.0b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`associate-*r/`
962×	`*-commutative`
876×	`associate-*l/`
530×	`distribute-lft-in`
514×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	238	65
2	3015	65

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))))) (#(struct:change #<rule 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Outputs

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

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1800×	`associate-/l*`
912×	`+-commutative`
834×	`associate-*r/`
738×	`associate--r+`
564×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	9689
1	1127	8975
2	4352	8931

Stop Event

1×	node limit

Counts

169 → 306

Calls

Call 1

Inputs
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 1 (*.f64 11/128 (pow.f64 x 4)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (-.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 1 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (-.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))
(/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) 1) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x))))) 1) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(*.f64 -1/2 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1/2)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(sqrt.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))

Outputs
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 -11/128 (pow.f64 x 4) (.f64 1/8 (.f64 x x)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (.f64 -11/128 (pow.f64 x 4))))
(fma.f64 1/8 (.f64 x x) (fma.f64 -11/128 (pow.f64 x 4) (.f64 69/1024 (pow.f64 x 6))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 69/1024 (pow.f64 x 6)) (+.f64 (.f64 -1843/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -1843/32768 (pow.f64 x 8) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 1/8 (.f64 x x) (fma.f64 69/1024 (pow.f64 x 6) (fma.f64 -11/128 (pow.f64 x 4) (.f64 -1843/32768 (pow.f64 x 8)))))
(-.f64 1 (sqrt.f64 1/2))
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1
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1/2
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(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) 1) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (sqrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x))))) 1) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (+.f64 1/4 (/.f64 -1/4 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 -1/2 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1/2)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(sqrt.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))))
(sqrt.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)))
(sqrt.f64 (/.f64 1/4 (fma.f64 x x 1)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1/2 (hypot.f64 1 x))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))

eval175.0ms (1.9%)

Compiler: Compiled 7804 to 6881 computations (11.8% saved)

prune50.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	299	7	306
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	299	8	307

Error

Counts

307 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	15.1b	(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
▶	14.4b	(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	31.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶	30.9b	(-.f64 1 (sqrt.f64 1/2))
▶	46.3b	(-.f64 1 1)
▶	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 143 to 128 computations (10.5% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1/2 (hypot.f64 1 x))
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	1.4b	(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))

Compiler

Compiled 68 to 58 computations (14.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`associate-*l/`
1012×	`*-commutative`
742×	`distribute-lft-in`
706×	`associate-/r*`
378×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	309	61
2	4131	61

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 -1/2 (hypot.f64 1 x))

Outputs
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Outputs

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

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

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

844×	`associate-/r*`
688×	`associate-/l*`
672×	`associate-r`
592×	`associate-l`
516×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	589	14354
1	1745	13840

Stop Event

1×	node limit

Counts

254 → 408

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 x 2))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
-1/2
(-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))) 1/2)
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 1/2 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) -1))
(-.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))))
(-.f64 1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 0 (+.f64 -1/2 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) -1)))
(-.f64 0 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 0 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 0 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)
(-.f64 (-.f64 1 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))
(*.f64 (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) 1) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2)) 1/4)) (-.f64 (/.f64 1/2 (hypot.f64 1 x)) 1/2))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3))) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))))
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(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1/2)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(sqrt.f64 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))

Outputs
(*.f64 1/4 (pow.f64 x 2))
(.f64 1/4 (.f64 x x))
(+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))
(fma.f64 -3/16 (pow.f64 x 4) (.f64 1/4 (.f64 x x)))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 -3/16 (pow.f64 x 4) (.f64 1/4 (.f64 x x))))
(+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (+.f64 (.f64 -3/16 (pow.f64 x 4)) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (.f64 -35/256 (pow.f64 x 8)))))
1/2
(-.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(-.f64 1/2 (/.f64 1/2 x))
(+.f64 1/2 (/.f64 -1/2 x))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (/.f64 1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (/.f64 -1/2 x)))
(-.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 3/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 x 3))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
1/2
(+.f64 1/2 (*.f64 1/2 (/.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) 1/2) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1/2 (.f64 3/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (+.f64 1/2 (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3)))))
2
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 2)
(fma.f64 -1/8 (*.f64 x x) 2)
(fma.f64 (*.f64 x x) -1/8 2)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 2 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (.f64 x x) 2) (.f64 (pow.f64 x 4) 11/128))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 4) 11/128 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -69/1024 (pow.f64 x 6)) (+.f64 2 (*.f64 11/128 (pow.f64 x 4)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 2 (.f64 (pow.f64 x 4) 11/128))))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 6) -69/1024 (fma.f64 (pow.f64 x 4) 11/128 2)))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (-.f64 (+.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (+.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))) (/.f64 -1/32 (.f64 x (.f64 x (.f64 1/2 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (+.f64 (sqrt.f64 1/2) (+.f64 1 (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))) (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (+.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))) (+.f64 (/.f64 -3/32 (.f64 (pow.f64 x 3) (sqrt.f64 1/2))) (/.f64 -1/32 (.f64 x (.f64 x (*.f64 1/2 (sqrt.f64 1/2)))))))
(+.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))
(+.f64 1 (-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 1 (-.f64 (sqrt.f64 1/2) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 x (sqrt.f64 1/2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (pow.f64 x 3) (sqrt.f64 1/2))) -1/2))) (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (-.f64 (/.f64 (/.f64 3/32 (sqrt.f64 1/2)) (pow.f64 x 3)) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 x (sqrt.f64 1/2)))))))
-1/2
(-.f64 (*.f64 1/4 (pow.f64 x 2)) 1/2)
(fma.f64 1/4 (*.f64 x x) -1/2)
(-.f64 (+.f64 (.f64 1/4 (pow.f64 x 2)) (.f64 -3/16 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4))) -1/2)
(fma.f64 1/4 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (.f64 5/32 (pow.f64 x 6)) (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 -3/16 (pow.f64 x 4)))) 1/2)
(+.f64 (fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (.f64 x x) (.f64 -3/16 (pow.f64 x 4)))) -1/2)
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 1/4 (*.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) -1/2)))
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 5/32 (pow.f64 x 7)) (/.f64 3/16 (pow.f64 x 5)))) (/.f64 -1/2 x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (/.f64 1/4 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(-.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7))))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (pow.f64 x 7)))))
(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(-.f64 1/2 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) -1))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 1/2 (*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 1/2 (neg.f64 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(-.f64 0 (+.f64 -1/2 (*.f64 (/.f64 1/2 (hypot.f64 1 x)) -1)))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 0 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 0 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 0 (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1/2)
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(-.f64 (-.f64 1 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(-.f64 (/.f64 1/4 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (/.f64 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2)) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (pow.f64 (hypot.f64 1 x) 2))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))))
(/.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4))
(-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1/2 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 -1/2 (hypot.f64 1 x))
(*.f64 -1/2 (/.f64 1 (hypot.f64 1 x)))
(/.f64 -1/2 (hypot.f64 1 x))
(*.f64 -1/2 (/.f64 -1 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(/.f64 1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (hypot.f64 1 x)) -1/2)
(/.f64 -1/2 (hypot.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 -1/2 (sqrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 -1/2 (sqrt.f64 (hypot.f64 1 x))) (sqrt.f64 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 -1/2 (cbrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 -1/2 (cbrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x))))
(/.f64 (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) 1/2)
(/.f64 -1/2 (hypot.f64 1 x))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1/2)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(/.f64 1/2 (hypot.f64 1 x))
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(sqrt.f64 (/.f64 1/4 (pow.f64 (hypot.f64 1 x) 2)))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 1/2 (hypot.f64 1 x))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1/2 (hypot.f64 1 x))

localize2.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize4.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`add-sqr-sqrt`
1236×	`*-un-lft-identity`
1158×	`add-cube-cbrt`
1150×	`add-cbrt-cube`
1142×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	141	11
2	1562	11

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

898×	`*-commutative`
854×	`fma-def`
842×	`associate--r+`
742×	`associate-r`
708×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	490
1	161	438
2	597	434
3	2332	434
4	5959	434

Stop Event

1×	node limit

Counts

28 → 35

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite72.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`associate-*r/`
922×	`*-commutative`
860×	`associate-*l/`
502×	`distribute-lft-in`
486×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	236	40
2	2928	40

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))

Outputs

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

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-/r*`
1492×	`associate-/l*`
964×	`*-commutative`
720×	`associate-+r+`
720×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	7003
1	817	6523
2	3236	6483

Stop Event

1×	node limit

Counts

125 → 196

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(*.f64 (-.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 1/2 (/.f64 -1/2 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/2 (/.f64 -1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (-.f64 (+.f64 3/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (-.f64 1 (.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (-.f64 (-.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (+.f64 1 (.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 -1/4 x)) (neg.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 3/2 (/.f64 -1/2 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)) (+.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 3/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 -1/2 x))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (+.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)) 1) (+.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/2 (/.f64 -1/2 x))) 1) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 -1/4 x)) (neg.f64 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 3/2 (/.f64 -1/2 x)))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (sqrt.f64 (-.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) 1/4) (/.f64 -1/4 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (+.f64 (/.f64 1/4 (.f64 x x)) 1/4) (/.f64 -1/4 x))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 1/4 (.f64 x x)) 1/4) (/.f64 -1/4 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)))) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (-.f64 (+.f64 (/.f64 1/4 (.f64 x x)) 1/4) (/.f64 -1/4 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)))) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) 1) (sqrt.f64 (-.f64 (+.f64 (/.f64 1/4 (.f64 x x)) 1/4) (/.f64 -1/4 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) 1) (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 1/4 (.f64 x x)) 1/4) (/.f64 -1/4 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (sqrt.f64 1/2))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))))) (sqrt.f64 1/2))
(+.f64 1 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (-.f64 (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (.f64 x x)) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (sqrt.f64 1/2)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (sqrt.f64 1/2))
(+.f64 1 (-.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (sqrt.f64 1/2)))
(+.f64 (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))) (sqrt.f64 1/2))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (.f64 x x))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))) (sqrt.f64 1/2))
(-.f64 (+.f64 (+.f64 1 (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))))) (sqrt.f64 1/2))
(+.f64 1 (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (-.f64 (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2))))
(+.f64 1 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (+.f64 (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (.f64 x x)) (-.f64 (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (sqrt.f64 1/2)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x)))))
(-.f64 (sqrt.f64 1/2) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (/.f64 -1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (.f64 x x))))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))))
(-.f64 (sqrt.f64 1/2) (+.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x)))) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(-.f64 (sqrt.f64 1/2) (+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5))))
(+.f64 (sqrt.f64 1/2) (-.f64 (-.f64 (/.f64 -1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/16 (sqrt.f64 1/2)) (.f64 x x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(+.f64 (sqrt.f64 1/2) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))))
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(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))

eval446.0ms (4.8%)

Compiler: Compiled 21723 to 19200 computations (11.6% saved)

prune164.0ms (1.8%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	721	4	725
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	722	11	733

Error

Counts

733 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.7b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	31.1b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	14.4b	(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	31.2b	(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
▶	30.4b	(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	30.9b	(-.f64 1 (sqrt.f64 1/2))
✓	46.3b	(-.f64 1 1)
✓	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 204 to 182 computations (10.8% saved)

localize7.0ms (0.1%)

Compiler: Compiled 15 to 15 computations (0% saved)

localize52.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite119.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`associate-*r/`
888×	`*-commutative`
852×	`associate-*l/`
504×	`distribute-lft-in`
486×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	217	40
2	2785	40

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

Outputs

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1/2 x))))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> 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(/.f64 1/2 x)))))))))

simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/r*`
1126×	`associate-/l*`
828×	`*-commutative`
660×	`associate-+l+`
650×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	6919
1	808	6485
2	3078	6453

Stop Event

1×	node limit

Counts

123 → 192

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (-.f64 1 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (-.f64 (-.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))) (+.f64 1 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(/.f64 (-.f64 1 (neg.f64 (+.f64 -1/2 (/.f64 -1/2 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (-.f64 (+.f64 1 (neg.f64 (+.f64 -1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 3/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 x))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 1 (-.f64 1 (neg.f64 (+.f64 -1/2 (/.f64 -1/2 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 1 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))) (-.f64 (+.f64 1 (neg.f64 (+.f64 -1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (-.f64 1 (neg.f64 (+.f64 -1/2 (/.f64 -1/2 x)))) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (-.f64 (+.f64 1 (neg.f64 (+.f64 -1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 x))) 1) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (*.f64 (-.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 x)) x)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 3/2 (/.f64 1/2 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 3/2 (/.f64 1/2 x)))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 1 1/2))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) 1/2))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (.f64 1 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (*.f64 1 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)))) (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x)))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) 1) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) 1) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))) (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)))))
(+.f64 1 (-.f64 (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(+.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 -1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))) (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)))))
(+.f64 1 (-.f64 (/.f64 1/16 (.f64 (sqrt.f64 1/2) (.f64 x x))) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
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(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓	0.1b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))

Compiler

Compiled 46 to 38 computations (17.4% saved)

series6.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`associate-/r/`
1626×	`associate-/l*`
1076×	`associate-/l/`
292×	`add-sqr-sqrt`
280×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	289	46
2	3965	46

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

Inputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))

Outputs

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x)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))))

simplify152.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-/r*`
1222×	`associate-r`
1056×	`distribute-lft-in`
928×	`associate-l`
810×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	14381
1	2088	14047

Stop Event

1×	node limit

Counts

193 → 335

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
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(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 (/.f64 1/4 (.f64 x x)) (-.f64 1/4 (/.f64 -1/4 x)))))
(/.f64 -1 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2))) (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (neg.f64 (+.f64 3/2 (-.f64 (/.f64 -1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (*.f64 1 (neg.f64 (+.f64 3/2 (-.f64 (/.f64 -1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 -1/4 x) 1/4)))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 -1/4 x) 1/4))))
(/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1))
(/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (*.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))
(/.f64 (-.f64 1/4 (.f64 (/.f64 1/2 x) (/.f64 1/2 x))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 3/2 (/.f64 -1/2 x))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/4 (-.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 3)) (*.f64 (+.f64 3/2 (-.f64 (/.f64 -1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (+.f64 3/2 (-.f64 (/.f64 -1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)

Outputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(+.f64 (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 x x))))) (+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 x x))))))
(+.f64 (+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (/.f64 (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 3)))))))) (.f64 (/.f64 (+.f64 (/.f64 1/8 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 x x)))) 1/4))
(-.f64 (+.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 (.f64 -1/32 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))))
(-.f64 (+.f64 (/.f64 1/256 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 x x))))) (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (fma.f64 -1/32 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x x))))))))
(+.f64 (/.f64 1/256 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)) (+.f64 1 (sqrt.f64 1/2))))) (-.f64 (+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (/.f64 (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 x (.f64 x (pow.f64 (sqrt.f64 1/2) 3)))))))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)))) (/.f64 (.f64 1/4 (+.f64 (/.f64 1/8 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (fma.f64 -1/32 (/.f64 (+.f64 (/.f64 1/8 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3)))) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1 (sqrt.f64 1/2))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 x x)))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (/.f64 1/2 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (*.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))
(+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 (+.f64 (/.f64 1/2 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
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(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 3/2 (/.f64 -1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 (/.f64 -1/2 x) 3/2)))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/4 (-.f64 (.f64 (/.f64 1/2 x) (/.f64 1/2 x)) (*.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 x)))))
(/.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1/4 (+.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 3)) (*.f64 (+.f64 3/2 (-.f64 (/.f64 -1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 3)) (*.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 3)) (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (+.f64 1 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 (+.f64 1/2 (/.f64 -1/2 x)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 1/2 (+.f64 (/.f64 -1/2 x) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (+.f64 (+.f64 (/.f64 -1/2 x) 3/2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (+.f64 3/2 (-.f64 (/.f64 -1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3)) (*.f64 (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 61 to 51 computations (16.4% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

1.0ms

inf

(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

0.0ms

(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`associate-/l*`
1058×	`associate-/r/`
884×	`associate-/l/`
334×	`add-sqr-sqrt`
324×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	321	47
2	4531	47

Stop Event

1×	node limit

Counts

1 → 65

Calls

Call 1

Inputs
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Outputs

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simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-/l/`
878×	`+-commutative`
822×	`associate-+l+`
596×	`associate-+r+`
440×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	328	8917
1	1092	7137
2	4510	7119

Stop Event

1×	node limit

Counts

77 → 153

Calls

Call 1

Inputs
(/.f64 -1/4 x)
(-.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/64 x) 1/4) (.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/64 x) (+.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 x)))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
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(pow.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 x))) -1)
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(exp.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))

Outputs
(/.f64 -1/4 x)
(-.f64 1/4 (*.f64 1/4 (/.f64 1 x)))
(-.f64 1/4 (/.f64 1/4 x))
(+.f64 1/4 (/.f64 -1/4 x))
(-.f64 (+.f64 (.f64 -1/64 x) 1/4) (.f64 1/4 (/.f64 1 x)))
(-.f64 (fma.f64 -1/64 x 1/4) (/.f64 1/4 x))
(fma.f64 x -1/64 (+.f64 1/4 (/.f64 -1/4 x)))
(-.f64 (+.f64 (.f64 -1/64 x) (+.f64 1/4 (.f64 1/64 (pow.f64 x 2)))) (*.f64 1/4 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1/64 x 1/4) (.f64 1/64 (.f64 x x))) (/.f64 1/4 x))
(+.f64 (fma.f64 x -1/64 (fma.f64 1/64 (*.f64 x x) 1/4)) (/.f64 -1/4 x))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x)))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (.f64 x x) (+.f64 1 (sqrt.f64 1/2)))))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x))) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 x x) (sqrt.f64 1/2)))))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x)) (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 4))) 1/4) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))) (/.f64 (.f64 1/32 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 (sqrt.f64 1/2) 3))))) (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x))) (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (.f64 x x) (+.f64 1 (sqrt.f64 1/2)))))))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (*.f64 x x) (sqrt.f64 1/2))))))
(+.f64 (-.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x)) (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2))))))) (/.f64 (+.f64 (/.f64 -3/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 (/.f64 1/64 (+.f64 1 (sqrt.f64 1/2))) (+.f64 1/4 (.f64 1/2 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))) (.f64 1/32 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/4 (.f64 1/2 (sqrt.f64 1/2))))))) (pow.f64 x 3))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))) (-.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x)) (/.f64 (+.f64 (.f64 (/.f64 1/32 (+.f64 1/4 (.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2)))))) (.f64 (/.f64 1/4 (+.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 -3/16 (+.f64 1/2 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 (/.f64 1/64 (+.f64 1 (sqrt.f64 1/2))) (+.f64 1/4 (.f64 1/2 (sqrt.f64 1/2)))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (+.f64 1/2 (sqrt.f64 1/2))))) (sqrt.f64 1/2))))) (pow.f64 x 3)))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x)))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 -1/8 (*.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 1/4 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (.f64 x x) (+.f64 1 (sqrt.f64 1/2)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))) (neg.f64 (/.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) x))) (.f64 -1/4 (/.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (.f64 x x) (sqrt.f64 1/2))))))
(+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 1/2 (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))) (+.f64 (-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 -1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) x)) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 -1/8 (.f64 (+.f64 1 (sqrt.f64 1/2)) (+.f64 1/2 (sqrt.f64 1/2))))) (.f64 (*.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))))))
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(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (.f64 (+.f64 3/2 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))))
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (*.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))))
(pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 2)
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 3)
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3) 1/3)
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1/2 (/.f64 1/2 x))) -1)
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) -1/2) 1) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (+.f64 (/.f64 1/2 x) -1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(fabs.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (exp.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(exp.f64 (-.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1/2 (*.f64 x (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	0.2b	(pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
✓	2.6b	(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
✓	3.9b	(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))

Compiler

Compiled 106 to 92 computations (13.2% saved)

series20.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
3.0ms	x	@	0	(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
2.0ms	x	@	inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
2.0ms	x	@	-inf	(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
2.0ms	x	@	inf	(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1636×	`associate-/l/`
434×	`add-sqr-sqrt`
412×	`*-un-lft-identity`
410×	`pow1`
404×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	172
1	435	172
2	5852	124

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)
(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (.f64 (+.f64 (/.f64 -1/2 x) 3/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (.f64 (+.f64 (/.f64 -1/2 x) 3/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 1 (+.f64 (/.f64 -1/2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (.f64 (+.f64 (/.f64 -1/2 x) 3/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (-.f64 1/2 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (/.f64 -1/2 x) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (/.f64 1 (+.f64 (/.f64 -1/2 x) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 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simplify128.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/r*`
894×	`distribute-lft-in`
892×	`associate-r`
822×	`*-commutative`
818×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	778	18549
1	2674	17557

Stop Event

1×	node limit

Counts

219 → 318

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (/.f64 1/3 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/6 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 1/6 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 1 (sqrt.f64 1/2)))))) (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/6 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1 (.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))) (.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))) (.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) 3)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 (+.f64 1 (.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))) (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6) 3)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4) 3)) (.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4) (*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)) -1) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)) -1) (.f64 1 (*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6)) -1) (.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6)) -1) (.f64 1 (*.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))) (.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)))))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))) (.f64 1 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))))))
(pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) 3) (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)) (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(exp.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(+.f64 1 (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) 1))
(+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) 0)
(+.f64 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/2) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 -1/2 x)))
(+.f64 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 -1/2 x)) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/2))
(+.f64 (.f64 1/2 (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (/.f64 -1/2 x) (+.f64 1/2 (/.f64 -1/2 x))))
(+.f64 (.f64 (/.f64 -1/2 x) (+.f64 1/2 (/.f64 -1/2 x))) (.f64 1/2 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) 1)
(*.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))
(*.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2) 1)
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x))) (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (.f64 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (-.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (+.f64 1/2 (/.f64 -1/2 x))) (-.f64 1/2 (/.f64 -1/2 x)))
(/.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3)))) (.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x)))))
(/.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (.f64 (+.f64 1/4 (-.f64 (/.f64 1/4 (.f64 x x)) (/.f64 -1/4 x))) (-.f64 1/2 (/.f64 -1/2 x))))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1/2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(*.f64 -1 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(*.f64 (/.f64 1 (-.f64 1/2 (/.f64 -1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) -1) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) -1))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1)
(pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) 3)
(pow.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))
(cbrt.f64 (/.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(exp.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))

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

eval1.6s (17.1%)

Compiler: Compiled 49572 to 43877 computations (11.5% saved)

prune395.0ms (4.2%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1360	5	1365
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	1362	14	1376

Error

Counts

1376 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓	31.1b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	14.4b	(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	31.0b	(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
✓	30.4b	(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
▶	62.0b	(/.f64 -1/4 x)
▶	31.6b	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	30.9b	(-.f64 1 (sqrt.f64 1/2))
✓	46.3b	(-.f64 1 1)
▶	55.8b	(-.f64 1/4 (/.f64 1/4 x))
✓	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 211 to 186 computations (11.8% saved)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
	0.1b	(/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	0.1b	(*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
✓	0.1b	(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))

Compiler

Compiled 101 to 86 computations (14.9% saved)

series50.0ms (0.5%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	x	@	inf	(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
2.0ms	x	@	0	(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
2.0ms	x	@	-inf	(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
1.0ms	x	@	0	(*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
1.0ms	x	@	inf	(*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`add-sqr-sqrt`
448×	`pow1`
448×	`*-un-lft-identity`
438×	`add-exp-log`
438×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	468	100
2	6642	100

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs

(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))

(*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))

Outputs

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simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-+r+`
1044×	`+-commutative`
538×	`associate-/r*`
518×	`associate-*r/`
510×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	11251
1	1642	10405
2	6121	10405

Stop Event

1×	node limit

Counts

111 → 177

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (/.f64 1/3 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1)))) (pow.f64 x 2))))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 1 (sqrt.f64 1/2))))) (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))))) (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 3/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1))))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1)))) (pow.f64 x 2)))))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/3 (.f64 (+.f64 1 (sqrt.f64 1/2)) x)) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x))))))
(+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 1/3 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (+.f64 1 (sqrt.f64 1/2))))) (pow.f64 x 2))))))
(+.f64 (.f64 -2/3 (/.f64 (.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 1/3 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 1 (sqrt.f64 1/2)) x))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 3/256 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 5))) (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))) (+.f64 (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 -2/3 (/.f64 (.f64 (+.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 3/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (*.f64 1/3 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))) (+.f64 1 (sqrt.f64 1/2))))) (pow.f64 x 2)))))))))
(/.f64 3/4 (+.f64 1 (sqrt.f64 1/2)))
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(+.f64 (.f64 (/.f64 1/2 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (.f64 3/4 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(-.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (-.f64 1 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 (/.f64 1/2 x) -1/4))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (-.f64 1 (*.f64 (+.f64 (/.f64 1/2 x) -1/4) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 1)
(/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) 3/4)))
(/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) 3/4)) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) 3/4))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) 3/4)) 2) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) 3/4))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) 5/4)))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 3)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 5/4)))))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) 3/4) -1) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 2))) (+.f64 (/.f64 1/2 x) 5/4))
(/.f64 (.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 3))) (+.f64 1 (.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 5/4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 (/.f64 1/2 x) 5/4))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 3)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1 (.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 5/4))))
(/.f64 (*.f64 -1 (+.f64 (/.f64 1/2 x) 3/4)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 2)) 1) (.f64 (+.f64 (/.f64 1/2 x) 5/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 3)) 1) (.f64 (+.f64 1 (*.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 5/4))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/2 x) 3/4)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 2)) -1) (.f64 (+.f64 (/.f64 1/2 x) 5/4) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 3)) -1) (.f64 (+.f64 1 (*.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 5/4))) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 2))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) 5/4)))
(/.f64 (.f64 -1 (-.f64 1 (pow.f64 (+.f64 1/4 (/.f64 1/2 x)) 3))) (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (*.f64 (+.f64 1/4 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) 5/4)))))
(pow.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 1/2 x) 3/4) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3) (pow.f64 (+.f64 (/.f64 1/2 x) 3/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) 3/4) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(exp.f64 (-.f64 (log.f64 (+.f64 (/.f64 1/2 x) 3/4)) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (/.f64 1/2 x) 3/4)) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (+.f64 (/.f64 1/3 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 (+.f64 (/.f64 1/3 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1/3 (/.f64 (-.f64 (+.f64 -1/2 (.f64 -1/2 (sqrt.f64 1/2))) (/.f64 3/8 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)))))
(+.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (-.f64 (/.f64 (/.f64 1/3 (+.f64 (sqrt.f64 1/2) 1)) x) (/.f64 1/3 (/.f64 (.f64 x (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1))) (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2)))))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) x))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (sqrt.f64 1/2))) (.f64 3/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (-.f64 (.f64 1/3 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1 (sqrt.f64 1/2))))))) (+.f64 (sqrt.f64 1/2) 1)))) (pow.f64 x 2))))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1/2 (+.f64 (sqrt.f64 1/2) 1)) (.f64 3/8 (/.f64 1 (sqrt.f64 1/2)))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 1 (sqrt.f64 1/2)) x)))))
(+.f64 (+.f64 (+.f64 (/.f64 1/3 (.f64 (+.f64 (sqrt.f64 1/2) 1) x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (neg.f64 (/.f64 (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 3/64 (pow.f64 (sqrt.f64 1/2) 3))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1))) (/.f64 (.f64 2/3 (.f64 (-.f64 (+.f64 -1/2 (.f64 -1/2 (sqrt.f64 1/2))) (/.f64 3/8 (sqrt.f64 1/2))) (+.f64 (/.f64 1/3 (+.f64 (sqrt.f64 1/2) 1)) (.f64 -1/3 (/.f64 (-.f64 (+.f64 -1/2 (.f64 -1/2 (sqrt.f64 1/2))) (/.f64 3/8 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1))))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 x x)))) (.f64 -1/3 (/.f64 (-.f64 (+.f64 -1/2 (.f64 -1/2 (sqrt.f64 1/2))) (/.f64 3/8 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (+.f64 (sqrt.f64 1/2) 1) x)))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 3/32 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1))) (/.f64 (.f64 2/3 (.f64 (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2))) (-.f64 (/.f64 1/3 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/3 (/.f64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)) (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2)))))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 x x))) (+.f64 (/.f64 (/.f64 1/3 (+.f64 (sqrt.f64 1/2) 1)) x) (.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2))) (.f64 x (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)))) -1/3)))
(+.f64 (/.f64 (/.f64 1/3 (+.f64 (sqrt.f64 1/2) 1)) x) (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (-.f64 (/.f64 (fma.f64 1/3 (/.f64 (-.f64 (/.f64 1/8 (sqrt.f64 1/2)) (/.f64 3/32 (sqrt.f64 1/2))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1))) (/.f64 (.f64 2/3 (.f64 (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2))) (-.f64 (/.f64 1/3 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 1/3 (/.f64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)) (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2)))))))) (+.f64 (sqrt.f64 1/2) 1))) (.f64 x x)) (.f64 (/.f64 (fma.f64 (+.f64 (sqrt.f64 1/2) 1) -1/2 (/.f64 -3/8 (sqrt.f64 1/2))) (.f64 x (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)))) -1/3))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3) (pow.f64 (+.f64 (/.f64 1/2 x) 3/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 3/4 (/.f64 1/2 x)) 3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (+.f64 3/4 (/.f64 1/2 x)) 3) 1) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1/2 x) 3/4) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(*.f64 (+.f64 (+.f64 -1/4 (/.f64 1/2 x)) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 3/4 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (+.f64 (+.f64 -1/4 (/.f64 1/2 x)) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 3/4 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (-.f64 (log.f64 (+.f64 (/.f64 1/2 x) 3/4)) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (-.f64 (log.f64 (+.f64 3/4 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 3/4 (/.f64 1/2 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (/.f64 1/2 x) 3/4)) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(exp.f64 (-.f64 (log.f64 (+.f64 3/4 (/.f64 1/2 x))) (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 3/4 (/.f64 1/2 x)) (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (+.f64 (+.f64 -1/4 (/.f64 1/2 x)) 1) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 3/4 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
✓	0.5b	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))

Compiler

Compiled 48 to 41 computations (14.6% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite109.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`distribute-lft-in`
1064×	`*-commutative`
908×	`associate-/r*`
532×	`associate-/r/`
450×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	280	40
2	4068	40

Stop Event

1×	node limit

Counts

2 → 154

Calls

Call 1

Inputs
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)

Outputs

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simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1544×	`associate-+l-`
1306×	`associate--l+`
640×	`distribute-lft-in`
588×	`distribute-rgt-in`
460×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	9976
1	1291	9444
2	6137	9442

Stop Event

1×	node limit

Counts

170 → 255

Calls

Call 1

Inputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (-.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1))
(+.f64 1 (-.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1))
(+.f64 1 (-.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))) -1))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) -1))
(+.f64 0 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))
(+.f64 -1 (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) 1))
(+.f64 -1 (-.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -1))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 2 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 2 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 2 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))))
(+.f64 2 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(+.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(+.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (/.f64 1/2 x) 3/2))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (-.f64 1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (neg.f64 (-.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 (/.f64 1/2 x) -1/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (neg.f64 (-.f64 (+.f64 (/.f64 1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (-.f64 1 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (-.f64 (-.f64 1/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/2 (+.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
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(/.f64 (-.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))) (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) 1) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (-.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 3) 1) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3) 1) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (+.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (-.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (+.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) -1) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) -1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)

Outputs
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(-.f64 1 (sqrt.f64 1/2))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(+.f64 1 (-.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))))
(-.f64 (+.f64 1 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x)))) (+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))))
(-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) 1) (+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/128 (*.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (-.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (*.f64 x x)))))))
(+.f64 (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (*.f64 x x)))))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 (sqrt.f64 1/2) x)))
(-.f64 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (.f64 (sqrt.f64 1/2) x))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 x x))))
(+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 (sqrt.f64 1/2) (-.f64 (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x)))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (*.f64 x x)))))))
(+.f64 (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (-.f64 (sqrt.f64 1/2) (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (*.f64 x x)))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (-.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (-.f64 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (-.f64 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))) -1))
(+.f64 1 (fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) 1))
(-.f64 2 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(+.f64 1 (-.f64 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) -1))
(+.f64 1 (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) 1))
(-.f64 2 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(+.f64 0 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 -1 (+.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 -1 (-.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) -1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 2 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 2 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 2 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))))
(+.f64 1 (fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (neg.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) 1))
(-.f64 2 (*.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(+.f64 2 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(+.f64 1 (fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) 1))
(-.f64 2 (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (-.f64 1 (/.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
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(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6) -1) (*.f64 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6)) (*.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (-.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6) -1) (*.f64 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6)) (*.f64 (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 3)) (-.f64 (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) 3)) (+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 3) 1) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2) (+.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) 3) -1) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4) 1) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6)) (*.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 4)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3) 1) (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (+.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3) -1) (*.f64 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6) 1) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3) 1) (.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (-.f64 1 (+.f64 -1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (+.f64 (.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3) -1) (*.f64 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (+.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6) 1) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) (+.f64 1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 6))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) -1) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) -1) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) -1) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))
(*.f64 (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(*.f64 (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 2 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)))))
(*.f64 (/.f64 1 (+.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))) (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 2 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 2)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(fabs.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) -1)
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (+.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) -1))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.1b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Compiler

Compiled 45 to 37 computations (17.8% saved)

series3.0ms (0%)

Counts

1 → 8

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

1.0ms

-inf

(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

1.0ms

inf

(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`associate-/r/`
1614×	`associate-/l*`
1078×	`associate-/l/`
276×	`add-sqr-sqrt`
266×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	270	23
2	3821	23

Stop Event

1×	node limit

Counts

1 → 81

Calls

Call 1

Inputs
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 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simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1060×	`associate-/l/`
782×	`associate-/r/`
674×	`associate-+l+`
642×	`+-commutative`
580×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	335	7499
1	1081	6683
2	4635	6683

Stop Event

1×	node limit

Counts

89 → 153

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1/32 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 1)
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(+.f64 (neg.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(*.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (/.f64 -1/2 x)))
(*.f64 (+.f64 -1/2 (/.f64 1/2 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/2 (/.f64 -1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 -1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 -1/2 (/.f64 1/2 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (neg.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) -1/2)) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 x)) (+.f64 -1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 x)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1) (/.f64 1 (+.f64 1/2 (/.f64 1/2 x))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1/4 (/.f64 (/.f64 1/4 x) x))) (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 x) 1/4)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) 1)) (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)))) (+.f64 -1/2 (/.f64 1/2 x)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 (/.f64 (/.f64 1/4 x) x) 1/4)) (-.f64 (/.f64 1/2 x) 1/2))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))))) (neg.f64 (-.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 x) 1/4))))
(.f64 (/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1/16 (*.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))))) (-.f64 1/4 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))))
(.f64 (/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/64 (pow.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x)) 3))) (+.f64 1/16 (-.f64 (.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))) (.f64 1/4 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (sqrt.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (cbrt.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (*.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1/2 (/.f64 -1/2 x)))) (*.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 x x))))) (-.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 x x)))))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x)) (-.f64 (/.f64 1/64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4)) (.f64 x x))) (/.f64 (/.f64 -1/4 (/.f64 (+.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))) (*.f64 x x))))
(+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x)) (-.f64 (/.f64 1/64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4)) (.f64 x x))) (.f64 (/.f64 -1/4 (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))) (/.f64 (.f64 -1/4 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (/.f64 1/256 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 5)))) (.f64 1/32 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3)) (+.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (/.f64 1/64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 x x))))))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 x x))))))
(+.f64 (-.f64 (+.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x)) (/.f64 1/64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4)) (.f64 x x)))) (/.f64 (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4))) (/.f64 -1/4 (/.f64 (+.f64 1/2 (sqrt.f64 1/2)) (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))))) (+.f64 1/2 (sqrt.f64 1/2))) (fma.f64 1/32 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4)) (/.f64 1/256 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)))))) (pow.f64 x 3))) (.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2))))))
(+.f64 (/.f64 1/64 (.f64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4)) (.f64 x x))) (-.f64 (-.f64 (-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x)) (/.f64 (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/64 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4))) (.f64 (/.f64 -1/4 (+.f64 1/2 (sqrt.f64 1/2))) (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))) (+.f64 1/2 (sqrt.f64 1/2))) (fma.f64 1/32 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) (+.f64 (.f64 1/2 (sqrt.f64 1/2)) 1/4)) (/.f64 1/256 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 (sqrt.f64 1/2) 1)))))) (pow.f64 x 3))) (.f64 (/.f64 -1/4 (.f64 (.f64 x x) (+.f64 1/2 (sqrt.f64 1/2)))) (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(fma.f64 -1 (/.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 (sqrt.f64 1/2) 1)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)))
(-.f64 (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (/.f64 (+.f64 (/.f64 1/8 (*.f64 (+.f64 (sqrt.f64 1/2) 1) (+.f64 1/2 (sqrt.f64 1/2)))) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))) x))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
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(/.f64 (/.f64 (.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 x 3))) (fma.f64 (+.f64 (/.f64 1/4 x) (/.f64 1/4 (.f64 x x))) (+.f64 -1/4 (+.f64 (/.f64 1/4 x) (/.f64 1/4 (.f64 x x)))) 1/16)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/64 (pow.f64 (+.f64 (/.f64 1/4 x) (/.f64 1/4 (.f64 x x))) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (sqrt.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))) (sqrt.f64 (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/4)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))))
(*.f64 (/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (cbrt.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))) (cbrt.f64 (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))) (cbrt.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(.f64 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (*.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (*.f64 (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x)))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (/.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (*.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (/.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1/2 x))) (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (+.f64 1/2 (/.f64 -1/2 x)))) (*.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 1/2 (.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (-.f64 (/.f64 1/2 x) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (.f64 (+.f64 (/.f64 1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(neg.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (*.f64 (+.f64 (/.f64 1/2 x) -1/2) 1) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (+.f64 (/.f64 1/2 x) -1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(fabs.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

eval674.0ms (7.2%)

Compiler: Compiled 29812 to 26709 computations (10.4% saved)

prune220.0ms (2.3%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	815	2	817
Fresh	0	0	0
Picked	0	1	1
Done	2	11	13
Total	817	14	831

Error

Counts

831 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 3/2 (/.f64 -1/2 x)))
✓	31.1b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓	31.1b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	14.4b	(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
✓	30.4b	(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
✓	62.0b	(/.f64 -1/4 x)
✓	14.9b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	30.9b	(-.f64 1 (sqrt.f64 1/2))
✓	46.3b	(-.f64 1 1)
✓	55.8b	(-.f64 1/4 (/.f64 1/4 x))
	31.6b	(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
✓	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 143 to 126 computations (11.9% saved)

regimes104.0ms (1.1%)

Counts

20 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 3/2 (/.f64 -1/2 x)))
(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)

Outputs
(.f64 1/8 (.f64 x x))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Calls

7 calls:

57.0ms	x
15.0ms	(/.f64 1 (hypot.f64 1 x))
7.0ms	(hypot.f64 1 x)
5.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
4.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.0b	3	`x`
0.0b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.0b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.0b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.0b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.0b	2	`(/.f64 1 (hypot.f64 1 x))`
0.0b	2	`(hypot.f64 1 x)`

Compiler

Compiled 287 to 252 computations (12.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	452.6503333666498

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes85.0ms (0.9%)

Counts

18 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 3/2 (/.f64 -1/2 x)))
(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))

Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 1/8 (.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Calls

7 calls:

31.0ms	(/.f64 1 (hypot.f64 1 x))
25.0ms	x
7.0ms	(hypot.f64 1 x)
5.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
4.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.4b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.4b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.4b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.4b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.4b	2	`(/.f64 1 (hypot.f64 1 x))`
0.4b	2	`(hypot.f64 1 x)`

Compiler

Compiled 256 to 224 computations (12.5% saved)

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.032181580145745e-12	452.64922875990766
20.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

36.0ms

320×

body

256

valid

Compiler

Compiled 497 to 415 computations (16.5% saved)

regimes151.0ms (1.6%)

Counts

16 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) 3/4) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 3/2 (/.f64 -1/2 x)))
(/.f64 (*.f64 (-.f64 1 (-.f64 1/4 (/.f64 1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (+.f64 3/2 (/.f64 -1/2 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 1/8 (.f64 x x))
(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Calls

7 calls:

59.0ms	x
55.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
12.0ms	(/.f64 1 (hypot.f64 1 x))
8.0ms	(hypot.f64 1 x)
4.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))

Results

Error	Segments	Branch
0.2b	3	`x`
0.4b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.4b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.4b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.4b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.4b	2	`(/.f64 1 (hypot.f64 1 x))`
0.4b	2	`(hypot.f64 1 x)`

Compiler

Compiled 214 to 187 computations (12.6% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.032181580145745e-12	452.64922875990766
20.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

36.0ms

320×

body

256

valid

Compiler

Compiled 477 to 395 computations (17.2% saved)

regimes20.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))

Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 1/8 (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 82 to 71 computations (13.4% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.032181580145745e-12	452.64922875990766
21.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

36.0ms

320×

body

256

valid

Compiler

Compiled 397 to 335 computations (15.6% saved)

regimes90.0ms (1%)

Counts

10 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))

Outputs
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 1/8 (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

87.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 68 to 59 computations (13.2% saved)

bsearch92.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
72.0ms	2.032181580145745e-12	452.64922875990766
20.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

87.0ms

320×

body

256

valid

Compiler

Compiled 337 to 285 computations (15.4% saved)

regimes15.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Outputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(.f64 1/8 (.f64 x x))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 29 to 24 computations (17.2% saved)

bsearch82.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.032181580145745e-12	452.64922875990766
63.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

78.0ms

320×

body

256

valid

Compiler

Compiled 317 to 275 computations (13.2% saved)

regimes52.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))
(-.f64 1 (sqrt.f64 1/2))

Outputs
(-.f64 1 (sqrt.f64 1/2))
(.f64 1/8 (.f64 x x))
(-.f64 1 (sqrt.f64 1/2))

Calls

1 calls:

51.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 23 to 18 computations (21.7% saved)

bsearch40.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.032181580145745e-12	452.64922875990766
21.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

35.0ms

320×

body

256

valid

Compiler

Compiled 277 to 235 computations (15.2% saved)

regimes14.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))

Outputs
(-.f64 1/4 (/.f64 1/4 x))
(.f64 1/8 (.f64 x x))
(-.f64 1/4 (/.f64 1/4 x))

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
25.5b	3	`x`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch76.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	2.032181580145745e-12	452.64922875990766
56.0ms	-15490.246962284635	-1.5898277131608581e-9

Results

72.0ms

320×

body

256

valid

Compiler

Compiled 297 to 235 computations (20.9% saved)

regimes5.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)
(.f64 1/8 (.f64 x x))

Outputs
(.f64 1/8 (.f64 x x))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
32.2b	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0%)

Accuracy

Total -16.1b remaining (-34.7%)

Threshold costs -16.1b (-34.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(-.f64 1 1)
(/.f64 -1/4 x)

Outputs
(-.f64 1 1)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
46.3b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative`
16×	`sub-neg`
16×	`*-commutative`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	642
1	98	642
2	121	642
3	134	642
4	143	642

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 2) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(if (<=.f64 x -7/4) (-.f64 1/4 (/.f64 1/4 x)) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1/4 (/.f64 1/4 x))))
(.f64 1/8 (.f64 x x))
(-.f64 1 1)

Outputs
(if (<=.f64 (hypot.f64 1 x) 2) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))))))
(if (<=.f64 x -5/4) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -5/4) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 3/2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/8 (.f64 x x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 3/2))) (-.f64 1 (sqrt.f64 1/2)) (.f64 1/8 (.f64 x x)))
(if (<=.f64 x -7/4) (-.f64 1/4 (/.f64 1/4 x)) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1/4 (/.f64 1/4 x))))
(if (or (<=.f64 x -7/4) (not (<=.f64 x 5/4))) (-.f64 1/4 (/.f64 1/4 x)) (.f64 1/8 (.f64 x x)))
(.f64 1/8 (.f64 x x))
(-.f64 1 1)
0

Compiler

Compiled 246 to 199 computations (19.1% saved)

soundness87.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1800×	`associate-/l*`
912×	`+-commutative`
834×	`associate-*r/`
738×	`associate--r+`
564×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	40	29
4	47	29
5	57	29
6	73	29
7	83	29
8	86	29
0	430	9689
1	1127	8975
2	4352	8931

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 74 to 66 computations (10.8% saved)

end197.0ms (2.1%)

Compiler: Compiled 237 to 182 computations (23.2% saved)