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)

sample2.8s (18%)

Results

1.3s	2184×	body	2048	valid
728.0ms	4601×	body	256	valid
644.0ms	972×	body	1024	valid
141.0ms	499×	body	512	valid

Bogosity

preprocess11.0ms (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)

simplify23.0ms (0.1%)

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)))))

eval2.0ms (0%)

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

prune2.0ms (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

75.8%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	75.8%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 1/2 (hypot.f64 1 x))
✓	100.0%	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
✓	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	96.7%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite150.0ms (1%)

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	84
1	238	84
2	3015	84

Stop Event

1×	node limit

Counts

4 → 214

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

simplify298.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-+r-`
614×	`associate-r`
608×	`associate-+l-`
530×	`associate-l`
524×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	617	15392
1	1677	14068
2	7174	14066

Stop Event

1×	node limit

Counts

262 → 435

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
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
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))))
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 -1/4 (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))))))
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(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))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2)))))
(-.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.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 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (+.f64 (sqrt.f64 1/2) (/.f64 1/4 (*.f64 x (sqrt.f64 1/2))))))
(-.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 x) (sqrt.f64 1/2))))
(-.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 (+.f64 1 (+.f64 (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (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 x (sqrt.f64 1/2)))))
(+.f64 1 (-.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (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 x (sqrt.f64 1/2))) (sqrt.f64 1/2)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (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 1 (-.f64 (+.f64 (/.f64 1/4 (.f64 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (*.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))) (sqrt.f64 1/2)))
(+.f64 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 1 (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))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (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 x (sqrt.f64 1/2))) (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3)))))) (sqrt.f64 1/2))
(+.f64 (+.f64 1 (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))) (-.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (sqrt.f64 1/2)))
1
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) 1)
(fma.f64 -1/8 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/8 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 1 (.f64 11/128 (pow.f64 x 4))))
(+.f64 (fma.f64 -1/8 (.f64 x x) 1) (.f64 (pow.f64 x 4) 11/128))
(fma.f64 (*.f64 x x) -1/8 (fma.f64 (pow.f64 x 4) 11/128 1))
(+.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)))))
(fma.f64 -1/8 (.f64 x x) (fma.f64 -69/1024 (pow.f64 x 6) (+.f64 1 (.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 1)))
(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 x (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(-.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 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 (/.f64 1/4 x) (sqrt.f64 1/2)) (/.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (*.f64 x x))))))
(-.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)))))
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/64 (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 x (sqrt.f64 1/2))))) (/.f64 1/32 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 1/2) 3))))
(+.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (+.f64 (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (/.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x))))))
(-.f64 (+.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))) (-.f64 (/.f64 1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x)))) (/.f64 -3/32 (.f64 (sqrt.f64 1/2) (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 x (sqrt.f64 1/2))))
(-.f64 (sqrt.f64 1/2) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))
(-.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 1/4 (.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) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (*.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2))))
(-.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))))))
(+.f64 (sqrt.f64 1/2) (-.f64 (.f64 -1/2 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (sqrt.f64 1/2) (pow.f64 x 3)))) (+.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 (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 x 3))) (fma.f64 1/32 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (.f64 x x)) (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)))))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 3/16 (.f64 (.f64 x x) -1/4)))
(+.f64 1 (+.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 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 (pow.f64 x 4) 3/16))))
(+.f64 (fma.f64 (.f64 x x) -1/4 1) (fma.f64 (pow.f64 x 4) 3/16 (.f64 (pow.f64 x 6) -5/32)))
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 1/2 (+.f64 (/.f64 1/2 x) (/.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 1/2 x) (-.f64 (+.f64 1/2 (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 1/2 (/.f64 -1/4 (pow.f64 x 3)))))
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 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 1/2 x)))
(+.f64 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.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 (/.f64 1/4 (pow.f64 x 3)) (/.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 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (.f64 (.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (fma.f64 -1/4 (.f64 x x) (.f64 (pow.f64 x 4) 3/16)))
(+.f64 1/2 (fma.f64 (pow.f64 x 4) 3/16 (.f64 (.f64 x x) -1/4)))
(+.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 (fma.f64 -1/4 (.f64 x x) (fma.f64 -5/32 (pow.f64 x 6) (.f64 (pow.f64 x 4) 3/16))))
(+.f64 1/2 (fma.f64 (.f64 x x) -1/4 (fma.f64 (pow.f64 x 4) 3/16 (.f64 (pow.f64 x 6) -5/32))))
(/.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 3/16 (pow.f64 x 5)) (-.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 5/32 (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 -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 1/4 (pow.f64 x 3)) (-.f64 (/.f64 5/32 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 1 (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 (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 1 (+.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 1 (-.f64 1 (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 (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 (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 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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.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 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 (+.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 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 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 (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 (/.f64 1/2 (hypot.f64 1 x)) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3/2)))
(*.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))))
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(/.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))))))
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(/.f64 (.f64 (cbrt.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1)))) (*.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 (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))))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 4))
(/.f64 (.f64 (-.f64 1/16 (/.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) (.f64 (hypot.f64 1 x) 2))) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) 1/4))
(/.f64 (-.f64 1/16 (/.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) (.f64 2 (hypot.f64 1 x)))) (.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1)))))
(/.f64 (+.f64 1/16 (/.f64 -1/8 (.f64 2 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3))))) (*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1)))))
(/.f64 (.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) 3)) (/.f64 1 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (+.f64 (+.f64 1/16 (/.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) (.f64 (hypot.f64 1 x) 2))) (/.f64 1/16 (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 1/64 (pow.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) 3)) (.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/16 (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) (.f64 2 (hypot.f64 1 x))) (/.f64 1/16 (+.f64 (.f64 x x) 1))))))
(/.f64 (/.f64 (+.f64 1/64 (/.f64 -1/64 (pow.f64 (fma.f64 x x 1) 3))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (+.f64 1/16 (+.f64 (/.f64 1/16 (fma.f64 x x 1)) (/.f64 1/8 (.f64 2 (.f64 (hypot.f64 1 x) (pow.f64 (hypot.f64 1 x) 3)))))))
(/.f64 (.f64 (-.f64 1/64 (/.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 1/64 (/.f64 1/64 (.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3)))) (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (/.f64 1/4 (+.f64 (*.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (/.f64 (+.f64 1/64 (/.f64 -1/64 (pow.f64 (hypot.f64 1 x) 6))) (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x))))) (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 3)) (/.f64 1 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))) (+.f64 1/64 (-.f64 (/.f64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 3)) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (+.f64 1/512 (/.f64 1/512 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3))) (.f64 (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))) (+.f64 1/64 (-.f64 (/.f64 1/64 (*.f64 (pow.f64 (hypot.f64 1 x) 3) (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 3))))))
(/.f64 (+.f64 1/512 (/.f64 1/512 (pow.f64 (pow.f64 (hypot.f64 1 x) 3) 3))) (*.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x)))) (+.f64 (+.f64 1/64 (/.f64 1/64 (pow.f64 (hypot.f64 1 x) 6))) (/.f64 -1/64 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) 1) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) (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 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (.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)))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (*.f64 x x) 1))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.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))) 1) (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (.f64 1 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 (/.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)))))) (sqrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x)))))
(/.f64 (/.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (.f64 (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (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))))))) (cbrt.f64 (+.f64 (/.f64 1/4 (+.f64 1 (.f64 x x))) (-.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (+.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (-.f64 1/4 (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 -1/4 (hypot.f64 1 x)))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2) 1/2)
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(fabs.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) 1/3)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(fabs.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (exp.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.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))
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(expm1.f64 (log.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(exp.f64 (log.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(fma.f64 1 (/.f64 1/2 (hypot.f64 1 x)) 1/2)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(fma.f64 1/2 (/.f64 1 (hypot.f64 1 x)) 1/2)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(fma.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 1/2)
(+.f64 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2) -1)
(+.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))

eval619.0ms (4%)

Compiler: Compiled 11478 to 9956 computations (13.3% saved)

prune192.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	427	8	435
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	427	9	436

Error

100.0%

Counts

436 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	50.2%	(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
▶	76.6%	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
▶	76.6%	(/.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))))))
▶	49.1%	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	75.8%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
	48.9%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	50.0%	(-.f64 1 (sqrt.f64 1/2))
▶	28.1%	(-.f64 1 1)
	51.4%	(.f64 1/8 (.f64 x x))

Compiler

Compiled 179 to 156 computations (12.8% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	100.0%	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	97.4%	(-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

Compiler

Compiled 66 to 57 computations (13.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
1.0ms	x	@	0	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
0.0ms	x	@	0	(-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
0.0ms	x	@	inf	(-.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))

rewrite165.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1718×	`associate-/l*`
1596×	`associate-/r/`
300×	`add-sqr-sqrt`
290×	`*-un-lft-identity`
288×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	294	48
2	4072	48

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs
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Outputs

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(hypot.f64 1 x)))))) 1))))) (#(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)))))))))))

simplify223.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-r`
792×	`distribute-lft-in`
776×	`associate-l`
758×	`distribute-rgt-in`
644×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	13181
1	1732	12945

Stop Event

1×	node limit

Counts

179 → 304

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))))
(*.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 1/2 (+.f64 (sqrt.f64 1/2) 1))
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(.f64 (/.f64 (+.f64 1 (-.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))))) (+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.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 (-.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))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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 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 (-.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))))) (+.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 1/2 (/.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 1 (sqrt.f64 (+.f64 1/2 (/.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)
(pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1)
(neg.f64 (/.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)))))))
(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))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.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)))
(+.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))))
(+.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 1/2 (+.f64 (/.f64 1/2 x) (/.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)))))
(*.f64 1/8 (pow.f64 x 2))
(.f64 (.f64 x x) 1/8)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(+.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 (pow.f64 x 4) -11/128)))
(+.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 (pow.f64 x 4) -11/128))))
(/.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 (neg.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 (.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 (.f64 -1/4 (+.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 (neg.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 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))))) (/.f64 (.f64 1/4 (+.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 x x) (.f64 (sqrt.f64 1/2) (+.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 (sqrt.f64 1/2) 1))) (+.f64 (.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 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 x 3))))))) (+.f64 (.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 1/32 (/.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) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 3))))) (+.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 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))))) (.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) (*.f64 (sqrt.f64 1/2) (pow.f64 x 3)))))))))
(+.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))) (fma.f64 -1 (/.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 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2)))))) (fma.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)))) (fma.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 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 1/4 (+.f64 (/.f64 (+.f64 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4)) -1/4) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 x 3) (sqrt.f64 1/2))))) (/.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 1/2 (+.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 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 x 3) (sqrt.f64 1/2))))))))))
(+.f64 (/.f64 1/64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 x x))))) (-.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (fma.f64 -1 (/.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 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2)))))) (fma.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 x x) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (fma.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 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 1/4 (+.f64 (/.f64 (+.f64 -1/4 (/.f64 1/64 (pow.f64 (sqrt.f64 1/2) 4))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (pow.f64 x 3) (+.f64 1 (sqrt.f64 1/2))) (+.f64 1 (sqrt.f64 1/2))))) (/.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 (pow.f64 x 3) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (/.f64 1/8 (.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 1 (sqrt.f64 1/2))) (/.f64 1/2 (.f64 x (+.f64 1 (sqrt.f64 1/2))))) (/.f64 (/.f64 1/8 (+.f64 1 (sqrt.f64 1/2))) (.f64 (sqrt.f64 1/2) (*.f64 x (+.f64 1 (sqrt.f64 1/2))))))
(+.f64 (+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 1/2)))) (/.f64 1/8 (.f64 (.f64 (+.f64 1 (sqrt.f64 1/2)) (*.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))) x)))
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(.f64 (/.f64 (+.f64 1 (-.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))))) (+.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (.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 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 (-.f64 (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 (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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (.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 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 (+.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 (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 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (*.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 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 (-.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))))) (+.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))))) (-.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 (sqrt.f64 (+.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 (+.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (/.f64 (+.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 (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 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(.f64 (/.f64 (+.f64 1 (-.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))))) (+.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))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (+.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 3/2 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.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 (+.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 (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 (/.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 (+.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 (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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (/.f64 (+.f64 1 (-.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))))) (+.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 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))))) (/.f64 (+.f64 1 (-.f64 (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 (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 (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))))) (/.f64 (/.f64 (+.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 (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 1/2 (/.f64 -1/2 (hypot.f64 1 x)))))
(.f64 (/.f64 (+.f64 1 (-.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))))) (+.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.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 3/2 (-.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.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 (+.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 (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 (/.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 (+.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 (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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (/.f64 (+.f64 1 (-.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))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 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 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 (-.f64 (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 (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 (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 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 (+.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 (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 (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 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 (-.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))))) (+.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 1/2 (/.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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (/.f64 (+.f64 1 (-.f64 (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 (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 (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 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 (+.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 (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 (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 1/2 (hypot.f64 1 x)) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(-.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)
(-.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)))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(pow.f64 (/.f64 1 (-.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)))))
(neg.f64 (/.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(neg.f64 (/.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)))))))
(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)))))))
(-.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))))))))
(-.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))
(-.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 (hypot.f64 1 x))) 3) (pow.f64 (+.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 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)))
(expm1.f64 (log.f64 (-.f64 2 (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)))))
(exp.f64 (log.f64 (-.f64 1 (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)))))
(exp.f64 (*.f64 (log.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)))))
(log1p.f64 (expm1.f64 (-.f64 1 (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)))))

localize5.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	98.4%	(-.f64 1 (sqrt.f64 1/2))

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite81.0ms (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))))))))

simplify97.0ms (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))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 1/2 (/.f64 1/2 x))
✓	100.0%	(sqrt.f64 (-.f64 1/2 (/.f64 1/2 x)))
✓	99.2%	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series3.0ms (0%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	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	(-.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)))

rewrite156.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`associate-*r/`
894×	`*-commutative`
886×	`associate-*l/`
514×	`associate-/r*`
442×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	218	53
2	2806	53

Stop Event

1×	node limit

Counts

3 → 181

Calls

Call 1

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

simplify206.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1396×	`associate-+l+`
1330×	`associate-+r+`
810×	`+-commutative`
518×	`distribute-lft-in`
510×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	11105
1	1322	10291
2	5745	10273

Stop Event

1×	node limit

Counts

209 → 309

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	100.0%	(/.f64 1/2 (hypot.f64 1 x))
	100.0%	(+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))
	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
✓	97.5%	(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

Compiler

Compiled 62 to 53 computations (14.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
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 1/2 (/.f64 1/2 (hypot.f64 1 x)))

rewrite83.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`add-sqr-sqrt`
1736×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
1612×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	19
2	2116	19

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1018×	`distribute-lft-in`
994×	`associate-r`
960×	`associate-*r/`
826×	`associate-/l*`
780×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	1374
1	320	1284
2	1087	1282
3	4145	1282

Stop Event

1×	node limit

Counts

42 → 77

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))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(+.f64 1/2 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1))
(+.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(*.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 (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 (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 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (/.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 (.f64 x x))) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x))))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x)))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) (+.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 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 3)) (+.f64 1/4 (-.f64 (.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 -1/2 (hypot.f64 1 x))) (.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x))))))
(pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.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) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(log.f64 (exp.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.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))
(expm1.f64 (log1p.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 1/2 (/.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 1/4 (.f64 x x) (fma.f64 -3/16 (pow.f64 x 4) (.f64 5/32 (pow.f64 x 6))))
(+.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)))))
(fma.f64 1/4 (.f64 x x) (fma.f64 5/32 (pow.f64 x 6) (fma.f64 -3/16 (pow.f64 x 4) (.f64 -35/256 (pow.f64 x 8)))))
(fma.f64 5/32 (pow.f64 x 6) (fma.f64 -3/16 (pow.f64 x 4) (fma.f64 -35/256 (pow.f64 x 8) (.f64 1/4 (.f64 x x)))))
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 1/2 (-.f64 (/.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 1/2 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 -1/2 x)))
(-.f64 (/.f64 1/4 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) 1/2))
(-.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 1/2 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5)))))
(+.f64 1/2 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (/.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 1/2 (-.f64 (/.f64 1/2 x) (/.f64 1/4 (pow.f64 x 3))))
(+.f64 (+.f64 1/2 (/.f64 1/2 x)) (/.f64 -1/4 (pow.f64 x 3)))
(+.f64 1/2 (+.f64 (/.f64 1/2 x) (/.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 1/2 x) (-.f64 (+.f64 1/2 (/.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)))))
(+.f64 1/2 (+.f64 (/.f64 3/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 -1/4 (pow.f64 x 3)))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 3/16 (pow.f64 x 5))) (-.f64 1/2 (/.f64 1/4 (pow.f64 x 3))))
(+.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 (/.f64 -1/2 (hypot.f64 1 x)) 1/2)
(+.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 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(+.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 (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 (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 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (/.f64 1 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 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 (.f64 x x))) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x))))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x)))) (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))))
(/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 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 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1/4 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 (hypot.f64 1 x)) (hypot.f64 1 x))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 (hypot.f64 1 x) (hypot.f64 1 x)))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 (hypot.f64 1 x)) 3)) (+.f64 1/4 (-.f64 (.f64 (/.f64 -1/2 (hypot.f64 1 x)) (/.f64 -1/2 (hypot.f64 1 x))) (.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 1/4 (*.f64 (/.f64 -1/2 (hypot.f64 1 x)) (-.f64 (/.f64 -1/2 (hypot.f64 1 x)) 1/2))))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (fma.f64 (/.f64 -1/2 (hypot.f64 1 x)) (+.f64 -1/2 (/.f64 -1/2 (hypot.f64 1 x))) 1/4))
(/.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 (neg.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (*.f64 x x))))) (neg.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 (.f64 x x) 1))) 1) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (+.f64 1/4 (/.f64 -1/4 (fma.f64 x x 1))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))) (/.f64 1/4 (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) 1) (+.f64 1/4 (+.f64 (/.f64 1/4 (+.f64 (.f64 x x) 1)) (/.f64 1/4 (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 (fma.f64 x x 1)) (/.f64 1/4 (hypot.f64 1 x)))))
(/.f64 (+.f64 1/8 (/.f64 -1/8 (pow.f64 (hypot.f64 1 x) 3))) (+.f64 (+.f64 1/4 (/.f64 1/4 (fma.f64 x x 1))) (/.f64 1/4 (hypot.f64 1 x))))
(pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 2)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 3)
(+.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) 1/3)
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(log.f64 (exp.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.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))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(exp.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))

eval2.1s (13.7%)

Compiler: Compiled 47738 to 41410 computations (13.3% saved)

prune722.0ms (4.6%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1467	5	1472
Fresh	2	1	3
Picked	0	1	1
Done	1	4	5
Total	1470	11	1481

Error

100.0%

Counts

1481 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	50.2%	(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
▶	49.8%	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	76.6%	(/.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))))))
▶	50.8%	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
▶	49.1%	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
✓	49.1%	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	75.8%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	48.9%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	50.0%	(-.f64 1 (sqrt.f64 1/2))
✓	28.1%	(-.f64 1 1)
▶	51.4%	(.f64 (.f64 x x) 1/8)

Compiler

Compiled 174 to 152 computations (12.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.7%	(.f64 (.f64 x x) 1/8)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 x x) 1/8)
0.0ms	x	@	inf	(.f64 (.f64 x x) 1/8)
0.0ms	x	@	-inf	(.f64 (.f64 x x) 1/8)

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1056×	`*-un-lft-identity`
1004×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1407	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (cbrt.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/8))))))))

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-*r/`
1256×	`distribute-rgt-in`
1240×	`distribute-lft-in`
1008×	`log-prod`
650×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	299
1	98	299
2	331	299
3	1767	299
4	7489	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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

localize12.0ms (0.1%)

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	99.2%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	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	@	-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)))

rewrite144.0ms (0.9%)

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

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

simplify210.0ms (1.3%)

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))))
(+.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 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (.f64 (sqrt.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 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x)))))))
(+.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 (sqrt.f64 1/2) (/.f64 -1/16 (.f64 (sqrt.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 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x))))))
(+.f64 (sqrt.f64 1/2) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 -1/16 (.f64 (sqrt.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 (/.f64 1/128 (pow.f64 x 3)) (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (/.f64 1/4 (.f64 (sqrt.f64 1/2) x)) (/.f64 -1/32 (.f64 (sqrt.f64 1/2) (.f64 1/2 (.f64 x x)))))))
(+.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 (sqrt.f64 1/2) (/.f64 -1/16 (.f64 (sqrt.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 (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 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 1 (-.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)))) 1)
(-.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))))) (sqrt.f64 (-.f64 1 (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))))) (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 (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 (-.f64 1/2 (/.f64 1/2 x)) (/.f64 1 (+.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 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)))))
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(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))))))
(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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(+.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 0)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -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)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (pow.f64 1 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(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 (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 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (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 (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 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (pow.f64 1 1/2) (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)))
(*.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 (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 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 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))
(*.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 (fabs.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.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 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 (/.f64 1/4 x) x)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 (/.f64 -1/4 x) x))) (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(/.f64 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 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 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 (/.f64 1/4 x) x)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (*.f64 x 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 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 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 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 (/.f64 1/4 x) x)))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (/.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (.f64 x 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 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))) (/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (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 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (.f64 x x)))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 x 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 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 (/.f64 1/4 x) x)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (*.f64 x 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 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 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 (sqrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 (/.f64 1/4 x) x)))))
(/.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (sqrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (*.f64 x 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 (sqrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))) (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 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 (/.f64 1/4 x) x)))) (cbrt.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (/.f64 (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (*.f64 x x))))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (/.f64 1/2 x) 3))) (cbrt.f64 (+.f64 1/4 (+.f64 (/.f64 -1/4 x) (/.f64 1/4 (.f64 x 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))))
(/.f64 (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 x x)))) (/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (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 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (.f64 x x)))))
(/.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 (cbrt.f64 (-.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 1/4 (/.f64 -1/4 (*.f64 x x))))))
(pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(+.f64 (+.f64 1 (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)
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)
(+.f64 (+.f64 1 (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)) 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 (+.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)))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓	99.2%	(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
✓	99.2%	(-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)

Compiler

Compiled 49 to 42 computations (14.3% saved)

series3.0ms (0%)

Counts

4 → 32

Calls

12 calls:

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

rewrite234.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1396×	`distribute-lft-in`
1038×	`associate-/r*`
692×	`associate-/r/`
468×	`associate-/l*`
418×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	116
1	299	80
2	4223	80

Stop Event

1×	node limit

Counts

4 → 365

Calls

Call 1

Inputs
(-.f64 (+.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)))) 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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1/2 (/.f64 -1/2 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)))) (#(struct:change #<rule egg-rr> (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)))) (#(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)))))

simplify347.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1138×	`distribute-lft-in`
1046×	`associate-r`
924×	`associate-l`
864×	`associate-/r*`
594×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	24761
1	2115	24369

Stop Event

1×	node limit

Counts

397 → 462

Calls

Call 1

Inputs
(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 (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 (sqrt.f64 1/2) 1)
(-.f64 (+.f64 1 (sqrt.f64 1/2)) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 1 (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 1 (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 (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) 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)))))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(+.f64 1 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1))
(+.f64 1 (+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1) 0))
(+.f64 1 (.f64 1 (.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1)))
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 0)
(+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (*.f64 (pow.f64 1 1/2) 0))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) -1)
(+.f64 0 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1)
(+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) -2)
(+.f64 -1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 2 (+.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) -1))
(+.f64 2 (-.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1))
(+.f64 (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1) 1)
(+.f64 (.f64 (pow.f64 1 1/2) 1) (.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))
(+.f64 (.f64 (pow.f64 1 1/2) 1) (.f64 (pow.f64 1 1/2) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1) 1)))
(+.f64 (.f64 (pow.f64 1 1/2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (.f64 (pow.f64 1 1/2) 1))
(+.f64 (.f64 (pow.f64 1 1/2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (.f64 (pow.f64 1 1/2) -1))
(+.f64 (.f64 (pow.f64 1 1/2) -1) (.f64 (pow.f64 1 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 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 1)
(*.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))
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(*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (/.f64 1 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (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 (-.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 (-.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 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 (/.f64 -1/2 x) 3/2)))
(.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) 1) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (-.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 -1/2 x)) 1) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 (/.f64 -1/2 x) 3/2)))
(*.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (+.f64 (/.f64 -1/2 x) -1/2)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (-.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 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 (.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(.f64 (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (+.f64 (.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 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))
(*.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)) (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 (/.f64 -1/2 x) 3/2))))
(.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 (+.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 (-.f64 1/2 (/.f64 -1/2 x)) 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 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (-.f64 (*.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))))
(.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 3))) (+.f64 (.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 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))))
(.f64 (/.f64 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 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 (.f64 (-.f64 1/2 (/.f64 -1/2 x)) 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 (/.f64 -1/2 x) 3/2))))
(.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (-.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 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (+.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 (+.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 (/.f64 -1/2 x) -1/2) (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2) 1)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 (/.f64 -1/2 x) 3/2)))
(/.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 1/4 (/.f64 1/4 (.f64 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 (+.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)) 3/2)) (/.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))) (/.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (sqrt.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 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (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 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)))) (/.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (cbrt.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 (-.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 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(/.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 (+.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 (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 (+.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 (+.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 (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 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))
(/.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)) (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 (/.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 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 1/2 (/.f64 -1/2 x))) (/.f64 1 (+.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 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 (/.f64 -1/2 x) 3/2))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (-.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)) (sqrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.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 (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) 1) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (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 (-.f64 1/2 (/.f64 -1/2 x)) 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 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (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 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (-.f64 1/2 (/.f64 -1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (-.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 (*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) 1) (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (sqrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))) (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) 1))
(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 (log1p.f64 (+.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))
(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
(sqrt.f64 1/2)
(-.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))
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(/.f64 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 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 (-.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 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (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 (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 (/.f64 (*.f64 (-.f64 1/2 (/.f64 -1/2 x)) 1) (-.f64 1/2 (/.f64 -1/2 x))) (/.f64 1 (+.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 -1/2 x)) 1) (-.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 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 (/.f64 -1/2 x) 3/2)) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2))))
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) (+.f64 (/.f64 -1/2 x) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 3/2))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) 1) (-.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)) 3/2)) (-.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)) 3/2)) (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (sqrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.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)) 3/2)) (*.f64 (sqrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.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)) 3/2)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (sqrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))
(/.f64 (/.f64 (.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 3/2)) 1) (.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))) (cbrt.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)) 3/2)) (.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 -1/2 x) 3/2) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (cbrt.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)) 3/2)) (.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (.f64 (cbrt.f64 (+.f64 (/.f64 -1/2 x) (-.f64 3/2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (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 x) -1/2) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))
(/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))))
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))
(/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)))))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) -1))))
(/.f64 (/.f64 (+.f64 (/.f64 -1/2 x) -1/2) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))) (-.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) 1))
(/.f64 (/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))) (+.f64 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4) -1))
(/.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (*.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4)) (+.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 -1/2 x)) 1/4))))
(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 (log1p.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 (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)
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(-.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓	99.8%	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))

Compiler

Compiled 50 to 42 computations (16% saved)

series98.0ms (0.6%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
2.0ms	x	@	inf	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
2.0ms	x	@	-inf	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
0.0ms	x	@	0	(-.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))
0.0ms	x	@	inf	(-.f64 1 (+.f64 1/2 (/.f64 -1/2 x)))

rewrite234.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`associate-/l*`
1592×	`associate-/r/`
294×	`add-sqr-sqrt`
282×	`pow1`
282×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	292	36
2	3983	36

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-r`
814×	`distribute-lft-in`
798×	`distribute-rgt-in`
752×	`associate-l`
616×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	10551
1	1636	10041

Stop Event

1×	node limit

Counts

175 → 269

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

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

eval1.2s (8%)

Compiler: Compiled 34238 to 30301 computations (11.5% saved)

prune404.0ms (2.6%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1117	2	1119
Fresh	0	1	1
Picked	0	1	1
Done	1	8	9
Total	1118	12	1130

Error

100.0%

Counts

1130 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.2%	(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
✓	49.8%	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	76.6%	(/.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))))))
✓	50.8%	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓	49.1%	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	75.8%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	48.9%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	50.0%	(-.f64 1 (sqrt.f64 1/2))
✓	28.1%	(-.f64 1 1)
▶	49.1%	(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
✓	51.4%	(.f64 (.f64 x x) 1/8)
▶	49.1%	(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))

Compiler

Compiled 118 to 103 computations (12.7% saved)

localize24.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	95.1%	(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))
✓	54.8%	(log.f64 (.f64 x (.f64 x 1/8)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

series48.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	(log.f64 (.f64 x (.f64 x 1/8)))
8.0ms	x	@	inf	(log.f64 (.f64 x (.f64 x 1/8)))
0.0ms	x	@	-inf	(log.f64 (.f64 x (.f64 x 1/8)))
0.0ms	x	@	0	(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))
0.0ms	x	@	inf	(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`add-sqr-sqrt`
1414×	`*-un-lft-identity`
1314×	`add-cube-cbrt`
1296×	`add-cbrt-cube`
1278×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	169	30
2	1792	30

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(log.f64 (.f64 x (.f64 x 1/8)))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))

Outputs

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

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

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

758×	`associate-/l*`
664×	`distribute-lft-in`
646×	`associate-*r/`
642×	`unswap-sqr`
636×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1506
1	348	1382
2	1320	1372
3	4931	1372

Stop Event

1×	node limit

Counts

80 → 73

Calls

Call 1

Inputs
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (log.f64 (*.f64 x 1/8)) (log.f64 x))
(+.f64 (log.f64 x) (log.f64 (*.f64 x 1/8)))
(+.f64 (log.f64 (.f64 x (sqrt.f64 1/8))) (log.f64 (.f64 x (sqrt.f64 1/8))))
(+.f64 0 (log.f64 (.f64 x (.f64 x 1/8))))
(+.f64 (log.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2)) (log.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))
(+.f64 (log.f64 (*.f64 x x)) (log.f64 1/8))
(+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 1/8)) 1))
(-.f64 (+.f64 1 (log.f64 (.f64 x (.f64 x 1/8)))) 1)
(.f64 (log.f64 (.f64 x (*.f64 x 1/8))) 1)
(.f64 1 (log.f64 (.f64 x (*.f64 x 1/8))))
(.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) (sqrt.f64 (log.f64 (.f64 x (*.f64 x 1/8)))))
(.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (*.f64 x 1/8)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 2) (cbrt.f64 (log.f64 (.f64 x (*.f64 x 1/8)))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (.f64 x 1/8)) (log.f64 (.f64 x 1/8)))) (-.f64 (log.f64 x) (log.f64 (*.f64 x 1/8))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (.f64 x 1/8)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (.f64 x 1/8)) (log.f64 (.f64 x 1/8))) (.f64 (log.f64 x) (log.f64 (*.f64 x 1/8))))))
(pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 1)
(pow.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(exp.f64 (log.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (*.f64 x 1/8)))) 1))
(log1p.f64 (-.f64 (.f64 x (.f64 x 1/8)) 1))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/8)) 1))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/8))) 1)
(.f64 x (.f64 x 1/8))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x 1/8) x)
(.f64 (.f64 x (*.f64 x 1/8)) 1)
(.f64 1 (.f64 x (*.f64 x 1/8)))
(.f64 (sqrt.f64 (.f64 x 1/8)) (.f64 (sqrt.f64 (.f64 x 1/8)) x))
(.f64 (.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 1/8)))
(.f64 (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2) (.f64 (.f64 1/2 (cbrt.f64 x)) x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 1/8)))
(.f64 (.f64 x x) 1/8)
(.f64 (.f64 x (sqrt.f64 (.f64 x 1/8))) (sqrt.f64 (.f64 x 1/8)))
(.f64 (.f64 x (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2)) (.f64 1/2 (cbrt.f64 x)))
(.f64 (.f64 (*.f64 x 1/8) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x 1/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(pow.f64 (.f64 x (.f64 x 1/8)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 x 1/8))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/8) x) x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/8))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/8))))

Outputs
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/8))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/8))
(fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 1/8))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(*.f64 1/8 (pow.f64 x 2))
(.f64 1/8 (.f64 x x))
(+.f64 (log.f64 (*.f64 x 1/8)) (log.f64 x))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 x) (log.f64 (*.f64 x 1/8)))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 (.f64 x (sqrt.f64 1/8))) (log.f64 (.f64 x (sqrt.f64 1/8))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 0 (log.f64 (.f64 x (.f64 x 1/8))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2)) (log.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (log.f64 (*.f64 x x)) (log.f64 1/8))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (*.f64 x 1/8)) 1))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(-.f64 (+.f64 1 (log.f64 (.f64 x (.f64 x 1/8)))) 1)
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(.f64 (log.f64 (.f64 x (*.f64 x 1/8))) 1)
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(.f64 1 (log.f64 (.f64 x (*.f64 x 1/8))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) (sqrt.f64 (log.f64 (.f64 x (*.f64 x 1/8)))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) (pow.f64 (cbrt.f64 (log.f64 (.f64 x (*.f64 x 1/8)))) 2))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 2) (cbrt.f64 (log.f64 (.f64 x (*.f64 x 1/8)))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (.f64 x 1/8)) (log.f64 (.f64 x 1/8)))) (-.f64 (log.f64 x) (log.f64 (*.f64 x 1/8))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (.f64 x 1/8)) 3)) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 (.f64 x 1/8)) (log.f64 (.f64 x 1/8))) (.f64 (log.f64 x) (log.f64 (*.f64 x 1/8))))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (.f64 1/8 x)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 (.f64 1/8 x)) (-.f64 (log.f64 (.f64 1/8 x)) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (.f64 1/8 x)) 3)) (fma.f64 (log.f64 (.f64 1/8 x)) (-.f64 (log.f64 (.f64 1/8 x)) (log.f64 x)) (.f64 (log.f64 x) (log.f64 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 (.f64 1/8 x)) 3)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 (*.f64 1/8 x)) (+.f64 (log.f64 1/8) 0))))
(pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 1)
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(pow.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 2)
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 3)
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(pow.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 3) 1/3)
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(sqrt.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 2))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(cbrt.f64 (pow.f64 (log.f64 (.f64 x (.f64 x 1/8))) 3))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(expm1.f64 (log1p.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(exp.f64 (log.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x (*.f64 x 1/8)))) 1))
(+.f64 (log.f64 1/8) (*.f64 2 (log.f64 x)))
(fma.f64 2 (log.f64 x) (log.f64 1/8))
(log1p.f64 (-.f64 (.f64 x (.f64 x 1/8)) 1))
(log1p.f64 (fma.f64 x (*.f64 1/8 x) -1))
(log1p.f64 (fma.f64 1/8 (*.f64 x x) -1))
(+.f64 1 (-.f64 (.f64 x (.f64 x 1/8)) 1))
(.f64 1/8 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/8))) 1)
(.f64 1/8 (.f64 x x))
(.f64 x (.f64 x 1/8))
(.f64 1/8 (.f64 x x))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x 1/8) x)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x (*.f64 x 1/8)) 1)
(.f64 1/8 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 1/8)))
(.f64 1/8 (.f64 x x))
(.f64 (sqrt.f64 (.f64 x 1/8)) (.f64 (sqrt.f64 (.f64 x 1/8)) x))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 1/8)) (*.f64 x (sqrt.f64 1/8)))
(.f64 1/8 (.f64 x x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 x 1/8)))
(.f64 1/8 (.f64 x x))
(.f64 (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2) (.f64 (.f64 1/2 (cbrt.f64 x)) x))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2))
(.f64 1/8 (.f64 x x))
(.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 2) (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2))
(.f64 1/8 (.f64 x x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (*.f64 x 1/8)))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x x) 1/8)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x (sqrt.f64 (.f64 x 1/8))) (sqrt.f64 (.f64 x 1/8)))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x (pow.f64 (.f64 1/2 (cbrt.f64 x)) 2)) (.f64 1/2 (cbrt.f64 x)))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 (*.f64 x 1/8) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 1/8 (.f64 x x))
(.f64 (.f64 (*.f64 x 1/8) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 1/8 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/8)) 1)
(.f64 1/8 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/8)) 2)
(.f64 1/8 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) 3)
(.f64 1/8 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 3) 1/3)
(.f64 1/8 (.f64 x x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8))))) (sqrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/8 (.f64 x x))))) (sqrt.f64 (log.f64 (.f64 1/8 (.f64 x x)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/8)))) (sqrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/8))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 x (.f64 x 1/8))))
(pow.f64 (E.f64) (log.f64 (.f64 1/8 (.f64 x x))))
(pow.f64 (E.f64) (fma.f64 2 (log.f64 x) (log.f64 1/8)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))) 2)) (cbrt.f64 (log.f64 (.f64 x (.f64 x 1/8)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/8 (.f64 x x)))) 2)) (cbrt.f64 (log.f64 (.f64 1/8 (.f64 x x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/8))) 2)) (cbrt.f64 (fma.f64 2 (log.f64 x) (log.f64 1/8))))
(sqrt.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 2))
(.f64 1/8 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/8) x) x))
(.f64 1/8 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/8)) 3))
(.f64 1/8 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/8))))
(.f64 1/8 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/8))))
(.f64 1/8 (.f64 x x))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 1/2 (/.f64 -1/2 x))
	100.0%	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
	100.0%	(sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))
✓	99.2%	(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)

Compiler

Compiled 48 to 41 computations (14.6% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite162.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`distribute-rgt-in`
1160×	`distribute-lft-in`
806×	`associate-/r*`
520×	`associate-/r/`
332×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	311	36
2	4032	36

Stop Event

1×	node limit

Counts

2 → 176

Calls

Call 1

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

Outputs

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

simplify231.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1000×	`+-commutative`
944×	`associate-+l+`
892×	`associate-+r+`
572×	`associate-/r*`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	503	10616
1	1671	9750
2	6920	9750

Stop Event

1×	node limit

Counts

196 → 304

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

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

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	99.9%	(*.f64 (pow.f64 x 4) -11/128)
✓	77.7%	(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))

Compiler

Compiled 26 to 17 computations (34.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
0.0ms	x	@	0	(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
0.0ms	x	@	0	(*.f64 (pow.f64 x 4) -11/128)
0.0ms	x	@	inf	(*.f64 (pow.f64 x 4) -11/128)
0.0ms	x	@	-inf	(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1714×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	226	40
2	2448	40

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(*.f64 (pow.f64 x 4) -11/128)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 (*.f64 1/8 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/8 x) x) 1) (*.f64 (pow.f64 x 4) -11/128))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 2) (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (*.f64 1/8 x) x)) (*.f64 (pow.f64 x 8) 121/16384)) (-.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/8 x) x) 3) (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3)) (+.f64 (*.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (*.f64 1/8 x) x)) (-.f64 (*.f64 (pow.f64 x 8) 121/16384) (*.f64 (*.f64 (*.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/8 (*.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 4) -11/128) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -11/128)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))))))

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1180×	`associate-/l*`
718×	`associate-/r*`
648×	`unswap-sqr`
550×	`fma-def`
530×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1392
1	229	1348
2	1142	1332
3	4440	1332

Stop Event

1×	node limit

Counts

60 → 51

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 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(+.f64 (.f64 (.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128))
(+.f64 (.f64 (.f64 (.f64 1/8 x) x) 1) (.f64 (pow.f64 x 4) -11/128))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)))) 1)
(.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 1)
(.f64 1 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128)))
(.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))
(.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 1/8 x) x) (.f64 (.f64 1/8 x) x)) (.f64 (pow.f64 x 8) 121/16384)) (-.f64 (.f64 (.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/8 x) x) 3) (pow.f64 (.f64 (pow.f64 x 4) -11/128) 3)) (+.f64 (.f64 (.f64 (.f64 1/8 x) x) (.f64 (.f64 1/8 x) x)) (-.f64 (.f64 (pow.f64 x 8) 121/16384) (.f64 (.f64 (.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128)))))
(pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) 3)
(pow.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 2))
(log.f64 (exp.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(exp.f64 (log.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128))) 1)
(pow.f64 (*.f64 (pow.f64 x 4) -11/128) 1)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -11/128)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -11/128)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))

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 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(*.f64 -11/128 (pow.f64 x 4))
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (.f64 (.f64 1/8 x) x) 1) (.f64 (pow.f64 x 4) -11/128))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (exp.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)))) 1)
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128)) 1)
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 1 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128)))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) (sqrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 2))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) 2) (cbrt.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (.f64 (.f64 (.f64 1/8 x) x) (.f64 (.f64 1/8 x) x)) (.f64 (pow.f64 x 8) 121/16384)) (-.f64 (.f64 (.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128)))
(/.f64 (-.f64 (.f64 (.f64 1/8 (.f64 x x)) (.f64 1/8 (.f64 x x))) (.f64 (pow.f64 x 8) 121/16384)) (-.f64 (.f64 1/8 (.f64 x x)) (*.f64 -11/128 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 1/64) (.f64 (pow.f64 x 8) -121/16384)) (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) 11/128)))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (pow.f64 x 8) -121/16384)) (fma.f64 (pow.f64 x 4) 11/128 (.f64 1/8 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 4) 1/64 (.f64 (pow.f64 x 8) -121/16384)) (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) 11/128)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/8 x) x) 3) (pow.f64 (.f64 (pow.f64 x 4) -11/128) 3)) (+.f64 (.f64 (.f64 (.f64 1/8 x) x) (.f64 (.f64 1/8 x) x)) (-.f64 (.f64 (pow.f64 x 8) 121/16384) (.f64 (.f64 (.f64 1/8 x) x) (*.f64 (pow.f64 x 4) -11/128)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/8 (.f64 x x)) 3) (.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152)) (fma.f64 (.f64 1/8 (.f64 x x)) (.f64 1/8 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 8) 121/16384) (.f64 (.f64 -11/128 (pow.f64 x 4)) (.f64 1/8 (.f64 x x))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -1331/2097152 (.f64 (pow.f64 (.f64 x x) 3) 1/512)) (+.f64 (.f64 (pow.f64 x 4) 1/64) (fma.f64 (pow.f64 x 8) 121/16384 (.f64 (.f64 (pow.f64 x 4) (.f64 1/8 (*.f64 x x))) 11/128))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 6) -1331/2097152 (.f64 (pow.f64 (.f64 x x) 3) 1/512)) (fma.f64 (pow.f64 x 8) 121/16384 (.f64 (pow.f64 x 4) (+.f64 (.f64 -11/128 (.f64 (*.f64 x x) -1/8)) 1/64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 6) -1331/2097152 (.f64 (pow.f64 (.f64 x x) 3) 1/512)) (fma.f64 (pow.f64 x 8) 121/16384 (.f64 (pow.f64 x 4) (+.f64 (.f64 -11/128 (.f64 x (*.f64 x -1/8))) 1/64))))
(pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 1)
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(pow.f64 (sqrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) 2)
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))) 3)
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(pow.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 3) 1/3)
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 2))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(log.f64 (exp.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128)) 3))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(exp.f64 (log.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (.f64 x x) (*.f64 (pow.f64 x 4) -11/128))) 1))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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)))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))))
(fma.f64 (pow.f64 x 4) -11/128 (.f64 1/8 (.f64 x x)))
(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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128))) 1)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (*.f64 (pow.f64 x 4) -11/128) 1)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -11/128)) 2)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) -11/128)) 3)
(*.f64 -11/128 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3) 1/3)
(*.f64 -11/128 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 121/16384))
(log.f64 (pow.f64 (exp.f64 -11/128) (pow.f64 x 4)))
(*.f64 -11/128 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128))))
(*.f64 -11/128 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 4) -11/128) 3))
(*.f64 -11/128 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 4) -11/128)))
(*.f64 -11/128 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 4) -11/128)))
(*.f64 -11/128 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) -11/128)) 1))
(*.f64 -11/128 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 4) -11/128)))
(*.f64 -11/128 (pow.f64 x 4))

eval771.0ms (4.9%)

Compiler: Compiled 15485 to 13308 computations (14.1% saved)

prune251.0ms (1.6%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	609	2	611
Fresh	0	0	0
Picked	1	0	1
Done	2	9	11
Total	612	11	623

Error

100.0%

Counts

623 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.8%	(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
✓	76.6%	(/.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))))))
✓	50.8%	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
	49.1%	(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
✓	49.1%	(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
✓	75.8%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	48.9%	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	50.0%	(-.f64 1 (sqrt.f64 1/2))
✓	28.1%	(-.f64 1 1)
	50.2%	(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
✓	51.4%	(.f64 (.f64 x x) 1/8)

Compiler

Compiled 110 to 97 computations (11.8% saved)

regimes256.0ms (1.6%)

Counts

19 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x x) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))

Outputs
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(/.f64 (-.f64 1 (+.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:

102.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
72.0ms	x
32.0ms	(/.f64 1 (hypot.f64 1 x))
14.0ms	(hypot.f64 1 x)
8.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
100.0%	3	`x`
100.0%	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
100.0%	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
100.0%	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
100.0%	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
100.0%	2	`(/.f64 1 (hypot.f64 1 x))`
100.0%	2	`(hypot.f64 1 x)`

Compiler

Compiled 241 to 203 computations (15.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000389	25.694294768232066

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes145.0ms (0.9%)

Counts

18 → 2

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x x) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (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))))))

Outputs
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 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
28.0ms	(/.f64 1 (hypot.f64 1 x))
16.0ms	(hypot.f64 1 x)
9.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
8.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Results

Error	Segments	Branch
100.0%	3	`x`
100.0%	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
100.0%	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
100.0%	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
100.0%	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
100.0%	2	`(/.f64 1 (hypot.f64 1 x))`
100.0%	2	`(hypot.f64 1 x)`

Compiler

Compiled 221 to 185 computations (16.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000000389	25.694294768232066

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes130.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x x) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4)))
(fma.f64 1/8 (.f64 x x) (.f64 (pow.f64 x 4) -11/128))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))

Outputs

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

(+.f64 (*.f64 (pow.f64 x 4) -11/128) (*.f64 (*.f64 1/8 x) x))

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

Calls

7 calls:

47.0ms	x
27.0ms	(/.f64 1 (hypot.f64 1 x))
15.0ms	(hypot.f64 1 x)
9.0ms	(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
8.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

Error	Segments	Branch
99.6%	3	`x`
99.2%	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
99.2%	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
99.2%	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
99.2%	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
99.2%	2	`(/.f64 1 (hypot.f64 1 x))`
99.2%	2	`(hypot.f64 1 x)`

Compiler

Compiled 203 to 169 computations (16.7% saved)

bsearch75.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	8.624874694025277e-34	25.67482782097667
37.0ms	-31972.874448515573	-2.7838895370557464e-7

Results

65.0ms

336×

body

256

valid

Compiler

Compiled 602 to 506 computations (15.9% saved)

regimes118.0ms (0.8%)

Counts

13 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x x) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/8))))

Outputs
(/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Calls

1 calls:

43.0ms

Results

Error	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 109 to 91 computations (16.5% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	8.624874694025277e-34	25.67482782097667
29.0ms	-31972.874448515573	-2.7838895370557464e-7

Results

51.0ms

336×

body

256

valid

Compiler

Compiled 580 to 484 computations (16.6% saved)

regimes78.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

Inputs
(-.f64 1 1)
(.f64 1/8 (.f64 x x))
(.f64 (.f64 x x) 1/8)
(-.f64 1 (sqrt.f64 1/2))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 1/2 x))))
(-.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1)
(+.f64 (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) 2)
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (-.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) 1))

Outputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Calls

1 calls:

73.0ms

Results

Error	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 86 to 72 computations (16.3% saved)

bsearch67.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	8.624874694025277e-34	25.67482782097667
32.0ms	-31972.874448515573	-2.7838895370557464e-7

Results

59.0ms

336×

body

256

valid

Compiler

Compiled 480 to 404 computations (15.8% saved)

regimes51.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

47.0ms

Results

Error	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 63 to 53 computations (15.9% saved)

bsearch101.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	8.624874694025277e-34	25.67482782097667
43.0ms	-31972.874448515573	-2.7838895370557464e-7

Results

82.0ms

336×

body

256

valid

Compiler

Compiled 354 to 299 computations (15.5% saved)

regimes41.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

Results

Error	Segments	Branch
98.7%	3	`x`

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch74.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	8.624874694025277e-34	25.67482782097667
41.0ms	-31972.874448515573	-2.7838895370557464e-7

Results

66.0ms

336×

body

256

valid

Compiler

Compiled 332 to 288 computations (13.3% saved)

regimes41.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

39.0ms

Results

Error	Segments	Branch
98.0%	3	`x`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	8.624874694025277e-34	25.67482782097667
37.0ms	-31972.874448515573	-2.7838895370557464e-7

Results

56.0ms

336×

body

256

valid

Compiler

Compiled 290 to 246 computations (15.2% saved)

regimes7.0ms (0%)

Accuracy

Total -15.4b remaining (-49.5%)

Threshold costs -15.40b (-49.5%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
51.4%	1	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative`
26×	`sub-neg`
22×	`*-commutative`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	726
1	103	726
2	129	726
3	148	726
4	157	726
5	158	726

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (/.f64 (-.f64 1 (+.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 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 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 -2476979795053773/2251799813685248) (/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 7378697629483821/2305843009213693952) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -3422735716801577/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5404319552844595/4503599627370496) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -3422735716801577/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 6980579422424269/4503599627370496) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -3422735716801577/2251799813685248) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 6980579422424269/4503599627370496) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(.f64 1/8 (.f64 x x))
(-.f64 1 1)

Outputs
(if (<=.f64 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (/.f64 (-.f64 1 (+.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 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (/.f64 (-.f64 1 (+.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 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (/.f64 (+.f64 1 (+.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 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 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 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (/.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 (hypot.f64 1 x) 2) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (/.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 -2476979795053773/2251799813685248) (/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 7378697629483821/2305843009213693952) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 7378697629483821/2305843009213693952) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 (-.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 (*.f64 1/8 x) x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -2476979795053773/2251799813685248) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (.f64 (pow.f64 x 4) -11/128) (.f64 x (*.f64 x 1/8))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -3422735716801577/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5404319552844595/4503599627370496) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -3422735716801577/2251799813685248) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5404319552844595/4503599627370496) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -3422735716801577/2251799813685248) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 6980579422424269/4503599627370496) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (or (<=.f64 x -3422735716801577/2251799813685248) (not (<=.f64 x 6980579422424269/4503599627370496))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/8 (.f64 x x)))
(if (<=.f64 x -3422735716801577/2251799813685248) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 6980579422424269/4503599627370496) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(if (or (<=.f64 x -3422735716801577/2251799813685248) (not (<=.f64 x 6980579422424269/4503599627370496))) (-.f64 1 (sqrt.f64 1/2)) (.f64 1/8 (.f64 x x)))
(.f64 1/8 (.f64 x x))
(-.f64 1 1)
0

Compiler

Compiled 274 to 225 computations (17.9% saved)

soundness456.0ms (2.9%)

Algorithm

5×	egg-herbie

Rules

1062×	`associate-r`
792×	`distribute-lft-in`
776×	`associate-l`
758×	`distribute-rgt-in`
644×	`associate-/r*`

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	617	15392
1	1677	14068
2	7174	14066
0	567	13181
1	1732	12945
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	617	15392
1	1677	14068
2	7174	14066

Stop Event

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

Compiler

Compiled 330 to 293 computations (11.2% saved)

end266.0ms (1.7%)

Compiler: Compiled 265 to 213 computations (19.6% saved)