Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample1.8s (18.5%)

Results

968.0ms	2259×	body	2048	valid
496.0ms	4484×	body	256	valid
263.0ms	987×	body	1024	valid
98.0ms	526×	body	512	valid

Bogosity

preprocess7.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

16.3b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 11 to 10 computations (9.1% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	1.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 37 to 31 computations (16.2% saved)

series44.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	x	@	-inf	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
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))

rewrite74.0ms (0.7%)

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	42
1	238	42
2	3015	42

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs
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Outputs

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simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1538×	`associate-/r*`
974×	`*-commutative`
804×	`associate-+l+`
772×	`+-commutative`
744×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	7163
1	937	6809
2	3599	6781

Stop Event

1×	node limit

Counts

119 → 219

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))
1/2
(+.f64 1/2 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 3/16 (pow.f64 x 4))))
(+.f64 1/2 (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -5/32 (pow.f64 x 6)) (*.f64 3/16 (pow.f64 x 4)))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 3))) (.f64 5/32 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 3/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(+.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1)
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (-.f64 (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 1 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))) (-.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (pow.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/2 (+.f64 (/.f64 1/2 (hypot.f64 1 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (/.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (*.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 1 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))) (+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 1 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)) 1) (+.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(/.f64 (*.f64 (neg.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) 1) (neg.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) 1) (neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (.f64 (-.f64 1/4 (/.f64 1/4 (+.f64 1 (.f64 x x)))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1/4 (/.f64 (+.f64 1/4 (/.f64 1/4 (hypot.f64 1 x))) (hypot.f64 1 x))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 2)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (+.f64 1 (.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (+.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3)) (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))
(/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) 1) (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (*.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x)))) 1)
(*.f64 1 (/.f64 1/2 (hypot.f64 1 x)))
(*.f64 1/2 (/.f64 1 (hypot.f64 1 x)))
(*.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2) (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (hypot.f64 1 x)) 1/2)
(*.f64 -1/2 (/.f64 -1 (hypot.f64 1 x)))
(*.f64 (/.f64 1 (sqrt.f64 (hypot.f64 1 x))) (/.f64 1/2 (sqrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2)) (/.f64 1/2 (cbrt.f64 (hypot.f64 1 x))))
(*.f64 (/.f64 -1 (hypot.f64 1 x)) -1/2)
(pow.f64 (/.f64 1/2 (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1/2 (hypot.f64 1 x))) 3)
(pow.f64 (*.f64 (hypot.f64 1 x) 2) -1)
(pow.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)) 1/3)
(sqrt.f64 (/.f64 1/4 (+.f64 1 (*.f64 x x))))
(log.f64 (exp.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 (hypot.f64 1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1/2 (hypot.f64 1 x))))
(exp.f64 (log.f64 (/.f64 1/2 (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (/.f64 1/2 (hypot.f64 1 x))))

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

eval127.0ms (1.3%)

Compiler: Compiled 5991 to 5315 computations (11.3% saved)

prune33.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	212	7	219
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	212	8	220

Error

Counts

220 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	16.9b	(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 3)
▶	15.8b	(/.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))))))
	16.3b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓	16.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
▶	31.4b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
▶	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
▶	30.8b	(-.f64 1 (sqrt.f64 1/2))
▶	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 165 to 148 computations (10.3% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	0.0b	(/.f64 -1/2 (hypot.f64 1 x))
✓	0.0b	(/.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))))))
✓	0.7b	(+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x)))

Compiler

Compiled 68 to 58 computations (14.7% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite112.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-/l*`
1044×	`associate-/r/`
674×	`associate-/l/`
338×	`add-sqr-sqrt`
328×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	335	90
2	4705	90

Stop Event

1×	node limit

Counts

4 → 282

Calls

Call 1

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

Outputs
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simplify180.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1562×	`associate-/r*`
1406×	`associate-/l*`
1032×	`associate-*r/`
926×	`*-commutative`
864×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	827	20600
1	2610	20158

Stop Event

1×	node limit

Counts

330 → 542

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

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 1/2 (-.f64 (-.f64 (/.f64 1/4 (pow.f64 x 3)) (/.f64 3/16 (pow.f64 x 5))) (/.f64 1/2 x)))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 x 3)) (+.f64 1/2 (/.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 (.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))) (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 1/64 (.f64 (.f64 (.f64 x x) (+.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 (.f64 x x) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))))
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2
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(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)))))
(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 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(fma.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)))))
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)

localize4.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 9 computations (0% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite62.0ms (0.6%)

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))))))))

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

28 → 35

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

125 → 196

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 107

Calls

Call 1

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

Outputs

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

simplify89.0ms (0.9%)

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))))
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(/.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 (/.f64 1/2 x) 3/2)))
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(/.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)))))
(/.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 (/.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)))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(fabs.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(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)))

eval886.0ms (8.9%)

Compiler: Compiled 29331 to 25689 computations (12.4% saved)

prune189.0ms (1.9%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	960	5	965
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	962	11	973

Error

Counts

973 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.9b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
▶	31.2b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
▶	16.3b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
▶	31.4b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
▶	30.3b	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓	16.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.4b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	30.8b	(-.f64 1 (sqrt.f64 1/2))
	30.9b	(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1/2 (/.f64 1/2 x)))
✓	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 204 to 183 computations (10.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1/2 (hypot.f64 1 x))
✓	0.0b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓	0.0b	(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
	1.2b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

Compiler

Compiled 63 to 55 computations (12.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1010×	`associate-/r*`
748×	`distribute-rgt-in`
714×	`distribute-lft-in`
566×	`associate-/r/`
466×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	64
1	291	64
2	3515	64

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-+l+`
1170×	`associate-+r+`
1030×	`+-commutative`
514×	`associate-r`
466×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	452	9625
1	1316	9097
2	5226	9091

Stop Event

1×	node limit

Counts

149 → 245

Calls

Call 1

Inputs
(/.f64 8 (pow.f64 x 2))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.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 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))
(exp.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) 1))
(log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(+.f64 1 (*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(+.f64 (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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(-.f64 0 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) 1))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (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)))))) (/.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (/.f64 (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 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 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1) -1)
(*.f64 (/.f64 1 (cbrt.f64 (pow.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 (neg.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) (neg.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2)) (neg.f64 (cbrt.f64 (-.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)))))) (-.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 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) -1))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) 1) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) 1) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) -1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.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 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (-.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 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (pow.f64 (+.f64 (+.f64 1/2 (/.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 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) -1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(.f64 (neg.f64 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.f64 (neg.f64 (neg.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 (neg.f64 (neg.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)))))))
(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1)
(pow.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) -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)
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (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 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(+.f64 11/2 (*.f64 8 (/.f64 1 (pow.f64 x 2))))
(+.f64 11/2 (/.f64 8 (*.f64 x x)))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (.f64 -17/32 (pow.f64 x 2))))
(+.f64 11/2 (+.f64 (/.f64 8 (.f64 x x)) (.f64 (*.f64 x x) -17/32)))
(+.f64 11/2 (fma.f64 (.f64 x x) -17/32 (/.f64 8 (.f64 x x))))
(+.f64 11/2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 69/256 (pow.f64 x 4)) (*.f64 -17/32 (pow.f64 x 2)))))
(+.f64 (+.f64 11/2 (/.f64 8 (.f64 x x))) (fma.f64 69/256 (pow.f64 x 4) (.f64 (*.f64 x x) -17/32)))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/32 (.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)) (.f64 x x)))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 -1 (/.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 (-.f64 1 (sqrt.f64 1/2)) 2)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (-.f64 (fma.f64 -1 (/.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 (-.f64 1 (sqrt.f64 1/2)) 2))) (fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 (sqrt.f64 1/2) 4))))) (pow.f64 x 3)) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 x (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1/32 (.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)) (*.f64 x x)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 (+.f64 (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 x (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (-.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 (+.f64 (/.f64 3/32 (.f64 (sqrt.f64 1/2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (pow.f64 x 3))) (/.f64 (.f64 -1/32 (/.f64 2 (sqrt.f64 1/2))) (.f64 (*.f64 x x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))
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(-.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)))))) (-.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 1/2 (/.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 3/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)))
(*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (/.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) (+.f64 (/.f64 1/2 (hypot.f64 1 x)) 3/2)))
(*.f64 (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -1) (pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -1))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -1/2) -2)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) (/.f64 1 (cbrt.f64 (/.f64 -1 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) (cbrt.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1) (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 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) 1) (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 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) 1) (cbrt.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)))))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))))
(/.f64 (cbrt.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))))) -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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(*.f64 (/.f64 1 (/.f64 1 (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 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (sqrt.f64 -1)) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) -1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 2) -1) (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(*.f64 (neg.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 (-.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 1/2 (/.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)) 3/2) (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 (/.f64 1/2 (hypot.f64 1 x)) 3/2) (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 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 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (-.f64 1 (.f64 (+.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 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))) (-.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 (-.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 (.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 (+.f64 1/2 (/.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 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) (-.f64 (+.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 1))))
(.f64 (/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (+.f64 1 (pow.f64 (+.f64 (+.f64 1/2 (/.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 1/2 (hypot.f64 1 x))) (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 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (fma.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 (+.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)) (+.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 (*.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))) 3/2)) (fma.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)))))) 1)) (+.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 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))) -1) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2)))))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) -2))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1))) (sqrt.f64 (+.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 (neg.f64 (.f64 (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) (cbrt.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)))) (cbrt.f64 (+.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 (neg.f64 (neg.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 (neg.f64 (neg.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)))))
(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 (/.f64 -1 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))) -1)) -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)))))
(neg.f64 (+.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)))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 2))
(fabs.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))
(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)))))
(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 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))) 1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))))) -1))
(exp.f64 (log1p.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(log1p.f64 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

localize8.0ms (0.1%)

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
✓	0.1b	(/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
	0.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

Compiler

Compiled 48 to 41 computations (14.6% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`*-commutative`
894×	`associate-/r*`
610×	`distribute-lft-in`
592×	`distribute-rgt-in`
464×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	270	52
2	3289	52

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate-+l+`
988×	`associate-+r+`
834×	`associate-/r/`
824×	`+-commutative`
536×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	8580
1	1201	8134
2	4709	8128

Stop Event

1×	node limit

Counts

148 → 228

Calls

Call 1

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

Outputs
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (.f64 x x)))) (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 x x))))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 -1/32 (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 -1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 x (.f64 x (*.f64 1/2 (sqrt.f64 1/2)))))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 3))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 x 3) (-.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))))
(-.f64 (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (.f64 x x)))) (+.f64 (/.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/128 (.f64 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 5)) (pow.f64 x 3)))))) (fma.f64 -1/4 (/.f64 (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (sqrt.f64 1/2) (.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (+.f64 (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 x x)))) (/.f64 1/128 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3)))))))
(+.f64 (+.f64 (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x))) (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3))))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (.f64 (sqrt.f64 1/2) (.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (fma.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (.f64 x x)) (/.f64 1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 3)))))))
(+.f64 (/.f64 1/4 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (+.f64 (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (fma.f64 -1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (.f64 (sqrt.f64 1/2) (.f64 (-.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3)))) (fma.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (*.f64 x x)) (/.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (pow.f64 x 3))))))))
(/.f64 1 (-.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (*.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (.f64 x x)))) (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 x x))))))
(+.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 -1/32 (.f64 1/2 (.f64 (sqrt.f64 1/2) (.f64 x (*.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))))))
(+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (+.f64 (/.f64 1/4 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) x))) (+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (/.f64 -1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 x (.f64 x (*.f64 1/2 (sqrt.f64 1/2)))))))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) (.f64 x (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 4) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2))))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2))))) (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))))) (pow.f64 x 3))) (/.f64 1 (-.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (+.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (.f64 x x)))) (/.f64 1/4 (.f64 (.f64 (sqrt.f64 1/2) x) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3) (pow.f64 (sqrt.f64 1/2) 4))) (fma.f64 1/4 (/.f64 (-.f64 (/.f64 1/16 (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3))) (/.f64 1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 3)))) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 5))))) (pow.f64 x 3)) (/.f64 1 (-.f64 1 (sqrt.f64 1/2))))) (/.f64 1/32 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x)) (+.f64 (-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (-.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 5))))) (pow.f64 x 3))) (-.f64 (/.f64 (/.f64 (/.f64 1/4 x) (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (.f64 1/32 (/.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) (.f64 x x))))))
(+.f64 (/.f64 1/4 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 (sqrt.f64 1/2) x))) (+.f64 (-.f64 (+.f64 (/.f64 1 (-.f64 1 (sqrt.f64 1/2))) (/.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 x x))) (/.f64 (-.f64 (/.f64 1/32 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (fma.f64 1/4 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 3)) (.f64 (/.f64 (/.f64 2 (sqrt.f64 1/2)) (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2)) -1/32)) (.f64 (sqrt.f64 1/2) (-.f64 1 (sqrt.f64 1/2)))) (/.f64 1/128 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 (sqrt.f64 1/2) 5))))) (pow.f64 x 3))) (/.f64 -1/32 (.f64 (pow.f64 (-.f64 1 (sqrt.f64 1/2)) 2) (.f64 x (.f64 x (.f64 1/2 (sqrt.f64 1/2))))))))
(-.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 (/.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)))))
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(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2)))))
(*.f64 (cbrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2))))
(*.f64 (neg.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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(.f64 (neg.f64 (.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 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(*.f64 (neg.f64 (neg.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 (neg.f64 (neg.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)))
(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 (/.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))))
(pow.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(pow.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(neg.f64 (+.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) -1))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(fabs.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(log.f64 (exp.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(expm1.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(exp.f64 (log1p.f64 (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))))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 38 computations (17.4% saved)

series4.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs

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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 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))))))) (#(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 1/2 (+.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 (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 1/2 x)) (/.f64 1 (+.f64 1 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simplify112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	601	14381
1	2088	14047

Stop Event

1×	node limit

Counts

193 → 335

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
	0.1b	(sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))
✓	0.2b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))

Compiler

Compiled 45 to 37 computations (17.8% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	270	46
2	3821	46

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs

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(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 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(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 1/2 (+.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 (exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 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simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1264×	`associate-/r*`
1142×	`associate-r`
968×	`distribute-lft-in`
860×	`associate-l`
792×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	14299
1	1989	13931

Stop Event

1×	node limit

Counts

193 → 334

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (+.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))))) (pow.f64 x 3))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 2))))))
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(-.f64 (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (*.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1/32 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))) (.f64 -1/4 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3)))))) (.f64 -1/4 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))))
(+.f64 1 (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 (sqrt.f64 1/2) (+.f64 1 (+.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) 1)
(+.f64 1 (+.f64 (sqrt.f64 1/2) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))
(-.f64 (+.f64 1 (+.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 1 (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (.f64 (sqrt.f64 1/2) x)))))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2)))))
(+.f64 1 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(+.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)))
(+.f64 1 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (neg.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 (*.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(+.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 1)
(+.f64 (*.f64 (neg.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(+.f64 (neg.f64 (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (-.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(-.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 1/2 x) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log.f64 (-.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1)
(*.f64 (+.f64 1/2 (/.f64 -1/2 x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(*.f64 (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (/.f64 -1/2 x)))
(*.f64 (+.f64 -1/2 (/.f64 1/2 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 1 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(.f64 (/.f64 1 (+.f64 1/2 (/.f64 -1/2 x))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (.f64 (+.f64 1/2 (/.f64 -1/2 x)) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1/2 (/.f64 -1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 -1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))) (/.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 -1/2 (/.f64 1/2 x))) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (neg.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(*.f64 (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) -1/2)) (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1))
(*.f64 (/.f64 1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 x)) (+.f64 -1/2 (/.f64 1/2 x))) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 1/2 x)) (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) 1) (/.f64 1 (+.f64 1/2 (/.f64 1/2 x))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1/4 (/.f64 (/.f64 1/4 x) x))) (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 x) 1/4)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) 1)) (+.f64 1/2 (/.f64 -1/2 x)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)))) (+.f64 -1/2 (/.f64 1/2 x)))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 (/.f64 (/.f64 1/4 x) x) 1/4)) (-.f64 (/.f64 1/2 x) 1/2))
(.f64 (/.f64 (.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (neg.f64 (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3))))) (neg.f64 (-.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 x) 1/4))))
(.f64 (/.f64 (.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (-.f64 1/16 (*.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x)) (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))))) (-.f64 1/4 (+.f64 (/.f64 (/.f64 1/4 x) x) (/.f64 1/4 x))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/2 x))) (cbrt.f64 (+.f64 -1/2 (/.f64 1/2 x)))) (/.f64 (neg.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 (+.f64 3/2 (/.f64 1/2 x)) (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 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) 1) (*.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 (/.f64 1/4 x) x)) (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 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (-.f64 1/4 (/.f64 (/.f64 1/4 x) x))) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (/.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x)) (+.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 (/.f64 (/.f64 1/4 x) x) (-.f64 (/.f64 1/4 x) 1/4))))
(/.f64 -1 (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (/.f64 -1/2 x))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))) (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x))) 2)) (/.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1/2 (/.f64 -1/2 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 1/4 (/.f64 (/.f64 1/4 x) x))) (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (neg.f64 (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/4 x) 1/4)))))
(/.f64 (neg.f64 (-.f64 1/8 (/.f64 1/8 (pow.f64 x 3)))) (*.f64 (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 (/.f64 (/.f64 1/4 x) x) (+.f64 (/.f64 1/4 x) 1/4))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (neg.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (*.f64 1 (neg.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (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 (/.f64 1/2 x) -1/2) (*.f64 1 (-.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)))
(/.f64 (-.f64 1/4 (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/2 (/.f64 1/2 x))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (*.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 3)) (*.f64 (-.f64 (+.f64 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 (+.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3)) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(/.f64 (+.f64 1/8 (pow.f64 (/.f64 -1/2 x) 3)) (.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 1/4 (-.f64 (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (*.f64 1/2 (/.f64 -1/2 x))))))
(/.f64 (-.f64 1 (pow.f64 (+.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 3/2 (/.f64 1/2 x)) (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4)) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3))
(expm1.f64 (log.f64 (+.f64 2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(fma.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))) 1)
(fma.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 1/4) 1)
(fma.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (cbrt.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 1)

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

eval1.5s (15%)

Compiler: Compiled 53026 to 46864 computations (11.6% saved)

prune580.0ms (5.8%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1672	4	1676
Fresh	1	0	1
Picked	0	1	1
Done	1	8	9
Total	1674	13	1687

Error

Counts

1687 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
▶	30.7b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 1))
▶	32.4b	(/.f64 1 (/.f64 8 (*.f64 x x)))
✓	16.3b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓	31.4b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
▶	26.8b	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
✓	30.3b	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓	16.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.4b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	30.8b	(-.f64 1 (sqrt.f64 1/2))
▶	30.9b	(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 -1/2 (/.f64 1/2 x)))
✓	32.2b	(.f64 1/8 (.f64 x x))

Compiler

Compiled 136 to 120 computations (11.8% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 59 to 50 computations (15.3% saved)

series9.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite117.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/r*`
808×	`associate-/l*`
796×	`associate-/r/`
430×	`associate-/l/`
332×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	93
1	335	93
2	4366	93

Stop Event

1×	node limit

Counts

3 → 279

Calls

Call 1

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

Outputs

((#(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 (/.f64 (/.f64 1/2 x) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 -1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4))) 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simplify241.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-/r*`
1318×	`associate-/l*`
1066×	`associate-r`
1002×	`associate-l`
818×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	857	23083
1	2592	22411

Stop Event

1×	node limit

Counts

303 → 495

Calls

Call 1

Inputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (/.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 1 (sqrt.f64 1/2))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
(+.f64 (.f64 -1 (/.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 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 1/4 (/.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))))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))) (*.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))))
(+.f64 (.f64 -1 (/.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 1 (sqrt.f64 1/2))))) x)) (+.f64 (.f64 1/4 (/.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))))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2))))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))) (.f64 -1 (/.f64 (-.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.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 1 (sqrt.f64 1/2))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))) (.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 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))) (.f64 -1/32 (/.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))))))) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 3)))))))
(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
(+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))) (.f64 1/8 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2))))))) x)))
(+.f64 (.f64 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 1/4 (/.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 1 (sqrt.f64 1/2))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (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 (.f64 -1 (/.f64 (+.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 1 (sqrt.f64 1/2))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (pow.f64 (sqrt.f64 1/2) 3)))) (+.f64 (.f64 1/256 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 5) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/4 (/.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 (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))))))) (.f64 (sqrt.f64 1/2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (sqrt.f64 1/2)))))) (pow.f64 x 3))) (+.f64 (.f64 1/64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 2)))))) (+.f64 (.f64 1/4 (/.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 1 (sqrt.f64 1/2))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (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 (+.f64 (sqrt.f64 1/2) 1))
(-.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))) (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 2)))) (/.f64 1 (+.f64 (sqrt.f64 1/2) 1)))
(-.f64 (+.f64 (.f64 1/4 (/.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 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))))) (pow.f64 x 2))) (+.f64 (.f64 1/128 (/.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 1/128 (/.f64 1 (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 4) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))))))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/16 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))) (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (pow.f64 x 3))))) (/.f64 1 (+.f64 (sqrt.f64 1/2) 1))))
(/.f64 -1 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))) (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))) (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/16 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (*.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))) (pow.f64 x 2)))) (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) x))))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 4) (.f64 (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2) (pow.f64 x 3)))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/16 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (pow.f64 (+.f64 1 (sqrt.f64 1/2)) 2)))))) (pow.f64 x 2))) (+.f64 (.f64 1/128 (/.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 1/4 (/.f64 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (+.f64 (sqrt.f64 1/2) 1) 2) (.f64 (pow.f64 (sqrt.f64 1/2) 2) (+.f64 1 (sqrt.f64 1/2)))))) (.f64 1/32 (/.f64 1 (.f64 (+.f64 (sqrt.f64 1/2) 1) (.f64 (pow.f64 (sqrt.f64 1/2) 3) (+.f64 1 (sqrt.f64 1/2))))))) (.f64 (sqrt.f64 1/2) (.f64 (+.f64 1 (sqrt.f64 1/2)) (pow.f64 x 3))))))))) (/.f64 1 (+.f64 1 (sqrt.f64 1/2))))
(*.f64 -1 (+.f64 1 (sqrt.f64 1/2)))
(-.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 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 (sqrt.f64 1/2) 1))
(-.f64 (.f64 -1 (+.f64 (sqrt.f64 1/2) 1)) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (+.f64 (sqrt.f64 1/2) 1)) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x))))
(-.f64 (+.f64 (.f64 -1 (+.f64 (sqrt.f64 1/2) 1)) (.f64 1/32 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 3) (pow.f64 x 2))))) (+.f64 (.f64 1/128 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 1/2) 5) (pow.f64 x 3)))) (.f64 1/4 (/.f64 1 (*.f64 (sqrt.f64 1/2) x)))))
(+.f64 (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (/.f64 1/2 x) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(+.f64 (/.f64 (/.f64 1/2 x) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1/2 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) 1)
(/.f64 1 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) -1/2)))
(/.f64 1 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 -1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(/.f64 1 (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4))) (+.f64 -1/8 (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 -1 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/2 x) -1/2)))
(/.f64 -1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 -1/2 (/.f64 1/2 x))) (-.f64 1/4 (/.f64 1/4 (.f64 x x)))))
(/.f64 -1 (/.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4))) (+.f64 -1/8 (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (+.f64 (/.f64 1/2 x) -1/2)))
(/.f64 (+.f64 (/.f64 1/2 x) -1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 1/2 x) -1/2) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1)
(/.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 2)))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))))
(/.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 2) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))))
(/.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 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (/.f64 1 (-.f64 -1/2 (/.f64 1/2 x)))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))) (/.f64 (-.f64 -1/2 (/.f64 1/2 x)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (/.f64 (.f64 (-.f64 -1/2 (/.f64 1/2 x)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(/.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x))) (/.f64 (.f64 (-.f64 -1/2 (/.f64 1/2 x)) (+.f64 1 (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 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4))))
(/.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 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4)))))
(/.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)) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (+.f64 -1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4)) (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(/.f64 (+.f64 -1/8 (/.f64 1/8 (pow.f64 x 3))) (/.f64 (.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 2)) (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (sqrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 2)) (/.f64 (/.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/2 x) -1/2)) 2))))
(/.f64 (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (.f64 x x)))) (/.f64 (.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (-.f64 -1/2 (/.f64 1/2 x))) (sqrt.f64 (-.f64 1/4 (/.f64 1/4 (*.f64 x x))))))
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(.f64 (/.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)) (-.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 (-.f64 1/2 (/.f64 1/2 x)) (neg.f64 (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 x) (-.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 3))) (+.f64 1 (-.f64 (.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 (/.f64 1/2 x) (-.f64 1/2 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 1 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(/.f64 -1 (/.f64 1 (+.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))))) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2))
(/.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 -1 (neg.f64 (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))))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)))
(/.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2) (cbrt.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.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 1/2 (/.f64 1/2 x)) (/.f64 1 (/.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 (neg.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 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))))
(/.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1)
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2) (sqrt.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.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)))) -1/2) (sqrt.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))))
(/.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (/.f64 (+.f64 (neg.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2) (sqrt.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))))
(/.f64 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 -1 (sqrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.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 1/2 (/.f64 1/2 x))) (*.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2) (sqrt.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2))))
(/.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 (neg.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 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.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 (neg.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))) (/.f64 -1 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2)) (/.f64 -1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (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 1/2 (/.f64 1/2 x))) (*.f64 1 (neg.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (neg.f64 (-.f64 1/2 (/.f64 1/2 x))) (*.f64 -1 (+.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x)))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (*.f64 1 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2))) (*.f64 -1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.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 1/8 (/.f64 1/8 (pow.f64 x 3))) (.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 x) 1/4))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (*.f64 (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (+.f64 1 (-.f64 (.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))))))))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) 3)) (.f64 1 (+.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)))))))))
(/.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 (neg.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 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2) 3)) (.f64 (+.f64 (neg.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)) (.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))))
(/.f64 (/.f64 1 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2)) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2))) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1/2 (/.f64 1/2 x)))) (+.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 -1 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 3/2)))) (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.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))))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) -1)) (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) -1))
(/.f64 (/.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1) (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.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 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2))) (sqrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) 1) (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2))) (cbrt.f64 (pow.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))))
(/.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 (neg.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x))))) (sqrt.f64 (+.f64 (neg.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x)))) (cbrt.f64 (+.f64 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))) (+.f64 3/2 (/.f64 1/2 x)))))) (cbrt.f64 (+.f64 (neg.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 (neg.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(log1p.f64 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))

Outputs
(/.f64 1/2 (+.f64 1 (sqrt.f64 1/2)))
(+.f64 (.f64 -1 (/.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 1 (sqrt.f64 1/2))))) x)) (.f64 1/2 (/.f64 1 (+.f64 1 (sqrt.f64 1/2)))))
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(exp.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) 1))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
(log1p.f64 (expm1.f64 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
✓	0.4b	(/.f64 8 (*.f64 x x))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 8 (*.f64 x x))
0.0ms	x	@	0	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
0.0ms	x	@	inf	(/.f64 8 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-*r/`
904×	`associate-*l/`
824×	`*-commutative`
728×	`associate-/r*`
470×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	220	34
2	2735	34

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(/.f64 8 (*.f64 x x))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) 11/2) (*.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (*.f64 (pow.f64 x -2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) 121/4) (*.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))) (*.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) 121/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 11/2 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (*.f64 (*.f64 (pow.f64 x -2) -8) (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 121/4 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (*.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (*.f64 121/4 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 11/2 (*.f64 (pow.f64 x -2) -8)) (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (fma.f64 8 (pow.f64 x -2) 11/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 8 (pow.f64 x -2) 11/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (+.f64 11/2 (*.f64 (pow.f64 x -2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -121/4 (neg.f64 (/.f64 -64 (pow.f64 x 4))))) (+.f64 -11/2 (neg.f64 (*.f64 (pow.f64 x -2) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1331/8 (neg.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (+.f64 -121/4 (neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))) (-.f64 1771561/64 (*.f64 262144 (*.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))))) (-.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))) (+.f64 2357947691/512 (pow.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 3))) (+.f64 1771561/64 (*.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) (-.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 1331/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 11/2 (*.f64 (pow.f64 x -2) -8)) (+.f64 14641/16 (*.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 4))))) (+.f64 121/4 (/.f64 64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 11/2 (*.f64 (pow.f64 x -2) -8)) (-.f64 1771561/64 (pow.f64 (/.f64 64 (pow.f64 x 4)) 3))) (+.f64 14641/16 (*.f64 (/.f64 64 (pow.f64 x 4)) (+.f64 121/4 (/.f64 64 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 (/.f64 64 (pow.f64 x 4)) 121/4)) (-.f64 (/.f64 (/.f64 8 x) x) 11/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (sqrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (sqrt.f64 (+.f64 11/2 (*.f64 (pow.f64 x -2) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -121/4 (neg.f64 (/.f64 -64 (pow.f64 x 4))))) (+.f64 11/2 (*.f64 (pow.f64 x -2) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 -1331/8 (neg.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (cbrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (cbrt.f64 (+.f64 11/2 (*.f64 (pow.f64 x -2) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) 11/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))))))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1280×	`associate-*r/`
934×	`unswap-sqr`
892×	`associate-*l/`
860×	`distribute-lft-in`
832×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	3306
1	653	3104
2	2179	2986

Stop Event

1×	node limit

Counts

96 → 141

Calls

Call 1

Inputs
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (pow.f64 x 2))
(*.f64 1/8 (pow.f64 x 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 121/2048 (pow.f64 x 6)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 121/2048 (pow.f64 x 6)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1331/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
2/11
(-.f64 2/11 (*.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8192/14641 (/.f64 1 (pow.f64 x 6))) (*.f64 32/121 (/.f64 1 (pow.f64 x 2)))))
2/11
(-.f64 2/11 (*.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8192/14641 (/.f64 1 (pow.f64 x 6))) (*.f64 32/121 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 8 x) x))) 1)
(*.f64 8 (pow.f64 x -2))
(*.f64 (/.f64 (/.f64 8 x) x) 1)
(*.f64 1 (/.f64 (/.f64 8 x) x))
(*.f64 (/.f64 (sqrt.f64 8) x) (/.f64 (sqrt.f64 8) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 8 x) x)) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))
(*.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 8 x) x)))
(*.f64 (/.f64 8 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 8)
(.f64 -8 (/.f64 -1 (.f64 x x)))
(*.f64 (/.f64 1 x) (/.f64 8 x))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 8 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 -1 (.f64 x x)) -8)
(pow.f64 (/.f64 (/.f64 8 x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 8) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 8 x) x)) 3)
(pow.f64 (.f64 (.f64 x x) 1/8) -1)
(pow.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 1/3)
(neg.f64 (/.f64 (/.f64 8 x) (neg.f64 x)))
(sqrt.f64 (/.f64 64 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 8 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 8 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 8 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 8 x) x)))
(+.f64 (.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) 11/2) (.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (*.f64 (pow.f64 x -2) -8)))
(+.f64 (.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) 121/4) (.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))))
(+.f64 (.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (*.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) 121/4))
(+.f64 (.f64 11/2 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (.f64 (*.f64 (pow.f64 x -2) -8) (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))))
(+.f64 (.f64 121/4 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))
(+.f64 (.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (*.f64 121/4 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)) 1)
(*.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))))
(.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))))
(*.f64 -1 (/.f64 -1 (fma.f64 8 (pow.f64 x -2) 11/2)))
(*.f64 (/.f64 -1 (fma.f64 8 (pow.f64 x -2) 11/2)) -1)
(.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1))
(.f64 (/.f64 1 (+.f64 -121/4 (neg.f64 (/.f64 -64 (pow.f64 x 4))))) (+.f64 -11/2 (neg.f64 (.f64 (pow.f64 x -2) -8))))
(.f64 (/.f64 1 (+.f64 -1331/8 (neg.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (+.f64 -121/4 (neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))))))
(.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (-.f64 1771561/64 (.f64 262144 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))))) (-.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))
(.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (+.f64 2357947691/512 (pow.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 3))) (+.f64 1771561/64 (*.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) (-.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 1331/8))))
(.f64 (/.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (+.f64 14641/16 (*.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 4))))) (+.f64 121/4 (/.f64 64 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (-.f64 1771561/64 (pow.f64 (/.f64 64 (pow.f64 x 4)) 3))) (+.f64 14641/16 (*.f64 (/.f64 64 (pow.f64 x 4)) (+.f64 121/4 (/.f64 64 (pow.f64 x 4))))))
(*.f64 (/.f64 1 (-.f64 (/.f64 64 (pow.f64 x 4)) 121/4)) (-.f64 (/.f64 (/.f64 8 x) x) 11/2))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (sqrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))))))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (sqrt.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8))))
(.f64 (/.f64 -1 (+.f64 -121/4 (neg.f64 (/.f64 -64 (pow.f64 x 4))))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(.f64 (/.f64 -1 (+.f64 -1331/8 (neg.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (cbrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (cbrt.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8))))
(pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1)
(pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)) 1)
(pow.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) 11/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))

Outputs
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (pow.f64 x 2))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 1/8 (pow.f64 x 2))
(.f64 x (.f64 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 -11/128 (pow.f64 x 4)))
(fma.f64 x (.f64 x 1/8) (.f64 -11/128 (pow.f64 x 4)))
(+.f64 (.f64 121/2048 (pow.f64 x 6)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -11/128 (pow.f64 x 4))))
(fma.f64 121/2048 (pow.f64 x 6) (fma.f64 1/8 (.f64 x x) (.f64 -11/128 (pow.f64 x 4))))
(fma.f64 121/2048 (pow.f64 x 6) (fma.f64 x (.f64 x 1/8) (.f64 -11/128 (pow.f64 x 4))))
(+.f64 (.f64 121/2048 (pow.f64 x 6)) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 -1331/32768 (pow.f64 x 8)) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 121/2048 (pow.f64 x 6) (fma.f64 1/8 (.f64 x x) (fma.f64 -1331/32768 (pow.f64 x 8) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 121/2048 (pow.f64 x 6) (fma.f64 x (.f64 x 1/8) (fma.f64 -1331/32768 (pow.f64 x 8) (.f64 -11/128 (pow.f64 x 4)))))
(fma.f64 121/2048 (pow.f64 x 6) (fma.f64 x (.f64 x 1/8) (fma.f64 -11/128 (pow.f64 x 4) (.f64 -1331/32768 (pow.f64 x 8)))))
2/11
(-.f64 2/11 (*.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(-.f64 2/11 (/.f64 32/121 (*.f64 x x)))
(+.f64 2/11 (/.f64 -32/121 (*.f64 x x)))
(+.f64 2/11 (/.f64 (/.f64 -32/121 x) x))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(+.f64 2/11 (-.f64 (/.f64 512/1331 (pow.f64 x 4)) (/.f64 32/121 (*.f64 x x))))
(+.f64 2/11 (+.f64 (/.f64 512/1331 (pow.f64 x 4)) (/.f64 -32/121 (*.f64 x x))))
(+.f64 (+.f64 2/11 (/.f64 (/.f64 -32/121 x) x)) (/.f64 512/1331 (pow.f64 x 4)))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8192/14641 (/.f64 1 (pow.f64 x 6))) (*.f64 32/121 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 2/11 (/.f64 512/1331 (pow.f64 x 4))) (/.f64 8192/14641 (pow.f64 x 6))) (/.f64 32/121 (*.f64 x x)))
(+.f64 (+.f64 2/11 (-.f64 (/.f64 512/1331 (pow.f64 x 4)) (/.f64 8192/14641 (pow.f64 x 6)))) (/.f64 -32/121 (*.f64 x x)))
(+.f64 2/11 (-.f64 (/.f64 512/1331 (pow.f64 x 4)) (fma.f64 32/121 (pow.f64 x -2) (/.f64 8192/14641 (pow.f64 x 6)))))
2/11
(-.f64 2/11 (*.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(-.f64 2/11 (/.f64 32/121 (*.f64 x x)))
(+.f64 2/11 (/.f64 -32/121 (*.f64 x x)))
(+.f64 2/11 (/.f64 (/.f64 -32/121 x) x))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (.f64 32/121 (/.f64 1 (pow.f64 x 2))))
(+.f64 2/11 (-.f64 (/.f64 512/1331 (pow.f64 x 4)) (/.f64 32/121 (*.f64 x x))))
(+.f64 2/11 (+.f64 (/.f64 512/1331 (pow.f64 x 4)) (/.f64 -32/121 (*.f64 x x))))
(+.f64 (+.f64 2/11 (/.f64 (/.f64 -32/121 x) x)) (/.f64 512/1331 (pow.f64 x 4)))
(-.f64 (+.f64 2/11 (.f64 512/1331 (/.f64 1 (pow.f64 x 4)))) (+.f64 (.f64 8192/14641 (/.f64 1 (pow.f64 x 6))) (*.f64 32/121 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 2/11 (/.f64 512/1331 (pow.f64 x 4))) (/.f64 8192/14641 (pow.f64 x 6))) (/.f64 32/121 (*.f64 x x)))
(+.f64 (+.f64 2/11 (-.f64 (/.f64 512/1331 (pow.f64 x 4)) (/.f64 8192/14641 (pow.f64 x 6)))) (/.f64 -32/121 (*.f64 x x)))
(+.f64 2/11 (-.f64 (/.f64 512/1331 (pow.f64 x 4)) (fma.f64 32/121 (pow.f64 x -2) (/.f64 8192/14641 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 8 x) x))) 1)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 8 (pow.f64 x -2))
(/.f64 8 (*.f64 x x))
(*.f64 (/.f64 (/.f64 8 x) x) 1)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 1 (/.f64 (/.f64 8 x) x))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 8) x) (/.f64 (sqrt.f64 8) x))
(pow.f64 (/.f64 (sqrt.f64 8) x) 2)
(*.f64 (cbrt.f64 (/.f64 (/.f64 8 x) x)) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 8 (pow.f64 x -2))) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (cbrt.f64 (*.f64 64 (pow.f64 x -4))))
(*.f64 (cbrt.f64 (/.f64 64 (pow.f64 x 4))) (cbrt.f64 (/.f64 (/.f64 8 x) x)))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 8 (pow.f64 x -2))) (cbrt.f64 (/.f64 64 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 8 (.f64 x x))) (cbrt.f64 (*.f64 64 (pow.f64 x -4))))
(*.f64 (/.f64 8 x) (/.f64 1 x))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 8)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(.f64 -8 (/.f64 -1 (.f64 x x)))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 (/.f64 1 x) (/.f64 8 x))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 x 4))) (/.f64 8 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (/.f64 8 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))
(.f64 (/.f64 -1 (.f64 x x)) -8)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(pow.f64 (/.f64 (/.f64 8 x) x) 1)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 8) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 8 x) x)) 3)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 1/8) -1)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 1/3)
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(neg.f64 (/.f64 (/.f64 8 x) (neg.f64 x)))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(sqrt.f64 (/.f64 64 (pow.f64 x 4)))
(sqrt.f64 (*.f64 64 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 8) (pow.f64 x -2)))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 8 x) x))))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 8 x) x)))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 (/.f64 8 x) x)))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 8 x) x)))
(/.f64 8 (*.f64 x x))
(*.f64 8 (pow.f64 x -2))
(+.f64 (.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) 11/2) (.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (*.f64 (pow.f64 x -2) -8)))
(.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (-.f64 121/4 (*.f64 64 (pow.f64 x -4))))
(+.f64 (.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) 121/4) (.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8)) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 (/.f64 512 (pow.f64 (*.f64 x x) 3)) 1331/8))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))
(+.f64 (.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (*.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) 121/4))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8)) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 (/.f64 512 (pow.f64 (*.f64 x x) 3)) 1331/8))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))
(+.f64 (.f64 11/2 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (.f64 (*.f64 (pow.f64 x -2) -8) (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))))
(.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (-.f64 121/4 (*.f64 64 (pow.f64 x -4))))
(+.f64 (.f64 121/4 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 -44 (pow.f64 x -2))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8)) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 (/.f64 512 (pow.f64 (*.f64 x x) 3)) 1331/8))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))
(+.f64 (.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (*.f64 121/4 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8)) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 (/.f64 512 (pow.f64 (*.f64 x x) 3)) 1331/8))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))) 1)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(*.f64 1 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(*.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)) 1)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(*.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(*.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)))
(.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))))
(.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (-.f64 121/4 (*.f64 64 (pow.f64 x -4))))
(.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8)) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 (/.f64 512 (pow.f64 (*.f64 x x) 3)) 1331/8))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))
(*.f64 -1 (/.f64 -1 (fma.f64 8 (pow.f64 x -2) 11/2)))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(*.f64 (/.f64 -1 (fma.f64 8 (pow.f64 x -2) 11/2)) -1)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(.f64 (/.f64 1 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4)))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (-.f64 121/4 (*.f64 64 (pow.f64 x -4))))
(.f64 (/.f64 1 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3))) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8)) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 (/.f64 512 (pow.f64 (*.f64 x x) 3)) 1331/8))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1) (pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1))
(pow.f64 (sqrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2)) (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) -1) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2)) (/.f64 1 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)) 2)) (cbrt.f64 (fma.f64 8 (pow.f64 x -2) 11/2)))
(.f64 (/.f64 1 (+.f64 -121/4 (neg.f64 (/.f64 -64 (pow.f64 x 4))))) (+.f64 -11/2 (neg.f64 (.f64 (pow.f64 x -2) -8))))
(.f64 (/.f64 1 (+.f64 (/.f64 64 (pow.f64 x 4)) -121/4)) (+.f64 -11/2 (.f64 8 (pow.f64 x -2))))
(/.f64 (fma.f64 8 (pow.f64 x -2) -11/2) (+.f64 (/.f64 64 (pow.f64 x 4)) -121/4))
(/.f64 (fma.f64 8 (pow.f64 x -2) -11/2) (+.f64 (*.f64 64 (pow.f64 x -4)) -121/4))
(.f64 (/.f64 1 (+.f64 -1331/8 (neg.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (+.f64 -121/4 (neg.f64 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))))))
(.f64 (/.f64 1 (-.f64 -1331/8 (pow.f64 (/.f64 8 (.f64 x x)) 3))) (-.f64 -121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (-.f64 -121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (-.f64 -1331/8 (/.f64 512 (pow.f64 (*.f64 x x) 3))))
(/.f64 (-.f64 -121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (-.f64 -1331/8 (/.f64 512 (pow.f64 x 6))))
(.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (-.f64 1771561/64 (.f64 262144 (.f64 (pow.f64 (pow.f64 x -2) 3) (pow.f64 (pow.f64 x -2) 3))))) (-.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))
(.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 (pow.f64 x -2) -44))) (+.f64 1771561/64 (.f64 -262144 (pow.f64 (pow.f64 x -2) 6)))) (-.f64 1331/8 (pow.f64 (/.f64 8 (.f64 x x)) 3)))
(/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (/.f64 (+.f64 1771561/64 (.f64 (pow.f64 (pow.f64 x -2) 6) -262144)) (-.f64 1331/8 (/.f64 512 (pow.f64 (.f64 x x) 3)))))
(.f64 (/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (.f64 64 (pow.f64 x -4)))) (+.f64 1771561/64 (*.f64 (pow.f64 (pow.f64 x -2) 6) -262144))) (-.f64 1331/8 (/.f64 512 (pow.f64 x 6))))
(.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))) (+.f64 2357947691/512 (pow.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 3))) (+.f64 1771561/64 (*.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) (-.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3) 1331/8))))
(.f64 (/.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 (pow.f64 x -2) -44))) (+.f64 2357947691/512 (pow.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 3))) (+.f64 1771561/64 (.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) -1331/8))))
(.f64 (/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (+.f64 2357947691/512 (pow.f64 (/.f64 512 (pow.f64 (.f64 x x) 3)) 3))) (fma.f64 (/.f64 512 (pow.f64 (.f64 x x) 3)) (+.f64 (/.f64 512 (pow.f64 (.f64 x x) 3)) -1331/8) 1771561/64))
(.f64 (/.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (.f64 64 (pow.f64 x -4)))) (+.f64 2357947691/512 (pow.f64 (/.f64 512 (pow.f64 x 6)) 3))) (fma.f64 (/.f64 512 (pow.f64 x 6)) (+.f64 (/.f64 512 (pow.f64 x 6)) -1331/8) 1771561/64))
(.f64 (/.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (+.f64 14641/16 (*.f64 (/.f64 -64 (pow.f64 x 4)) (/.f64 64 (pow.f64 x 4))))) (+.f64 121/4 (/.f64 64 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (+.f64 14641/16 (*.f64 (/.f64 64 (pow.f64 x 4)) (/.f64 -64 (pow.f64 x 4))))) (+.f64 (/.f64 64 (pow.f64 x 4)) 121/4))
(*.f64 (/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (+.f64 14641/16 (/.f64 (/.f64 -4096 (pow.f64 x 4)) (pow.f64 x 4)))) (+.f64 (/.f64 64 (pow.f64 x 4)) 121/4))
(.f64 (/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (+.f64 14641/16 (/.f64 -4096 (pow.f64 x 8)))) (+.f64 (.f64 64 (pow.f64 x -4)) 121/4))
(.f64 (/.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (-.f64 1771561/64 (pow.f64 (/.f64 64 (pow.f64 x 4)) 3))) (+.f64 14641/16 (*.f64 (/.f64 64 (pow.f64 x 4)) (+.f64 121/4 (/.f64 64 (pow.f64 x 4))))))
(/.f64 (.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8)) (+.f64 14641/16 (*.f64 (/.f64 64 (pow.f64 x 4)) (+.f64 (/.f64 64 (pow.f64 x 4)) 121/4)))) (-.f64 1771561/64 (/.f64 262144 (pow.f64 (pow.f64 x 4) 3))))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (/.f64 (+.f64 1771561/64 (/.f64 -262144 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (/.f64 64 (pow.f64 x 4)) (+.f64 (/.f64 64 (pow.f64 x 4)) 121/4) 14641/16)))
(/.f64 (fma.f64 (pow.f64 x -2) -8 11/2) (/.f64 (+.f64 1771561/64 (/.f64 -262144 (pow.f64 (pow.f64 x 4) 3))) (+.f64 14641/16 (/.f64 (+.f64 1936 (/.f64 4096 (pow.f64 x 4))) (pow.f64 x 4)))))
(*.f64 (/.f64 1 (-.f64 (/.f64 64 (pow.f64 x 4)) 121/4)) (-.f64 (/.f64 (/.f64 8 x) x) 11/2))
(.f64 (/.f64 1 (+.f64 (/.f64 64 (pow.f64 x 4)) -121/4)) (+.f64 -11/2 (.f64 8 (pow.f64 x -2))))
(/.f64 (fma.f64 8 (pow.f64 x -2) -11/2) (+.f64 (/.f64 64 (pow.f64 x 4)) -121/4))
(/.f64 (fma.f64 8 (pow.f64 x -2) -11/2) (+.f64 (*.f64 64 (pow.f64 x -4)) -121/4))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (sqrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))))))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8))) (sqrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44)))))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 (/.f64 512 (pow.f64 (.f64 x x) 3)) 1331/8))) (sqrt.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4))))))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))) (sqrt.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (.f64 64 (pow.f64 x -4))))))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (sqrt.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8))))
(*.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 (pow.f64 x -2) -8 11/2)))
(.f64 (/.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) (sqrt.f64 (-.f64 121/4 (.f64 64 (pow.f64 x -4))))) (sqrt.f64 (fma.f64 (pow.f64 x -2) -8 11/2)))
(.f64 (/.f64 -1 (+.f64 -121/4 (neg.f64 (/.f64 -64 (pow.f64 x 4))))) (+.f64 11/2 (.f64 (pow.f64 x -2) -8)))
(.f64 (/.f64 1 (+.f64 (/.f64 64 (pow.f64 x 4)) -121/4)) (+.f64 -11/2 (.f64 8 (pow.f64 x -2))))
(/.f64 (fma.f64 8 (pow.f64 x -2) -11/2) (+.f64 (/.f64 64 (pow.f64 x 4)) -121/4))
(/.f64 (fma.f64 8 (pow.f64 x -2) -11/2) (+.f64 (*.f64 64 (pow.f64 x -4)) -121/4))
(.f64 (/.f64 -1 (+.f64 -1331/8 (neg.f64 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2)))))
(.f64 (/.f64 1 (-.f64 -1331/8 (pow.f64 (/.f64 8 (.f64 x x)) 3))) (-.f64 -121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44))))
(/.f64 (-.f64 -121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4)))) (-.f64 -1331/8 (/.f64 512 (pow.f64 (*.f64 x x) 3))))
(/.f64 (-.f64 -121/4 (fma.f64 (pow.f64 x -2) -44 (*.f64 64 (pow.f64 x -4)))) (-.f64 -1331/8 (/.f64 512 (pow.f64 x 6))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 1331/8 (pow.f64 (/.f64 (/.f64 8 x) x) 3)))) (cbrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (.f64 -44 (pow.f64 x -2))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 (pow.f64 (/.f64 8 (.f64 x x)) 3) 1331/8))) (cbrt.f64 (+.f64 121/4 (+.f64 (/.f64 64 (pow.f64 x 4)) (*.f64 (pow.f64 x -2) -44)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 (/.f64 512 (pow.f64 (.f64 x x) 3)) 1331/8))) (cbrt.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (/.f64 64 (pow.f64 x 4))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 (/.f64 512 (pow.f64 x 6)) 1331/8))) (cbrt.f64 (+.f64 121/4 (fma.f64 (pow.f64 x -2) -44 (.f64 64 (pow.f64 x -4))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (cbrt.f64 (+.f64 11/2 (.f64 (pow.f64 x -2) -8))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (cbrt.f64 (+.f64 121/4 (/.f64 -64 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 (pow.f64 x -2) -8 11/2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2)) (/.f64 (cbrt.f64 (-.f64 121/4 (*.f64 64 (pow.f64 x -4)))) (cbrt.f64 (fma.f64 (pow.f64 x -2) -8 11/2))))
(pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(pow.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)) 1)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(pow.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -1/2) 2)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))) 3)
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)))
(sqrt.f64 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2)))))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 8 (pow.f64 x -2) 11/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(exp.f64 (neg.f64 (log.f64 (fma.f64 8 (pow.f64 x -2) 11/2))))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))))
(/.f64 1 (fma.f64 8 (pow.f64 x -2) 11/2))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (/.f64 8 (*.f64 x x)))
	0.4b	(/.f64 8 (*.f64 x x))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`add-sqr-sqrt`
1476×	`*-un-lft-identity`
1394×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1366×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	171	13
2	2055	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1794×	`distribute-lft-in`
1778×	`associate-/l*`
1120×	`associate-/r*`
1114×	`associate-r`
1050×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	651
1	211	645
2	659	639
3	3135	639

Stop Event

1×	node limit

Counts

41 → 42

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

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 1))

Compiler

Compiled 29 to 25 computations (13.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`associate-/r*`
1272×	`associate-/l*`
834×	`associate-/r/`
744×	`associate-/l/`
626×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	266	29
2	3488	29

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 (sqrt.f64 1/2)) (neg.f64 (/.f64 (+.f64 (sqrt.f64 1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1) (neg.f64 (/.f64 (+.f64 (sqrt.f64 1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 (sqrt.f64 1/2)) (/.f64 (+.f64 (sqrt.f64 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 1/2)) 1) (/.f64 (+.f64 (sqrt.f64 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 1/2)) (neg.f64 (/.f64 (+.f64 (sqrt.f64 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 1 (neg.f64 (/.f64 (+.f64 (sqrt.f64 1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 (+.f64 (*.f64 -2 (sqrt.f64 1/2)) 2) (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (sqrt.f64 1/2)) (*.f64 (+.f64 (*.f64 -2 (sqrt.f64 1/2)) 2) (*.f64 (/.f64 1/2 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 1/2) -1) x)) (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 -2 (sqrt.f64 1/2)) 2) (/.f64 1/2 x)) (-.f64 1 (sqrt.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) (sqrt.f64 1/2)) (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 1/2 3/2))) 1/2) (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 1/2 3/2))) (-.f64 1 (sqrt.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 1/2 3/2))) (-.f64 1 (sqrt.f64 1/2))) (*.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (pow.f64 1/2 3/2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (sqrt.f64 1/2) (neg.f64 (/.f64 (+.f64 (sqrt.f64 1/2) -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (sqrt.f64 1/2) (/.f64 (+.f64 (sqrt.f64 1/2) -1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (sqrt.f64 1/2)) (/.f64 (+.f64 (sqrt.f64 1/2) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (*.f64 -2 (sqrt.f64 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1))) (sqrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 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 (*.f64 -2 (sqrt.f64 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1))) 2) (cbrt.f64 (/.f64 (+.f64 1/2 (/.f64 1/2 x)) (+.f64 (sqrt.f64 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1/2 (/.f64 1/2 x)) 2)) (*.f64 (cbrt.f64 (+.f64 1/2 (/.f64 1/2 x))) (+.f64 (*.f64 -2 (sqrt.f64 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -2 (sqrt.f64 1/2)) 2) (+.f64 1/2 (/.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1/2 (/.f64 -1/2 x)) (*.f64 2 (+.f64 (sqrt.f64 1/2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 1 (pow.f64 1/2 1/4))) (/.f64 (+.f64 1/2 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simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1166×	`associate-/l*`
988×	`associate-*r/`
898×	`associate-*l/`
796×	`times-frac`
628×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	4330
1	788	4154
2	2857	4104

Stop Event

1×	node limit

Counts

90 → 141

Calls

Call 1

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

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

eval652.0ms (6.5%)

Compiler: Compiled 26143 to 22832 computations (12.7% saved)

prune236.0ms (2.4%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	912	1	913
Fresh	0	0	0
Picked	0	1	1
Done	2	10	12
Total	914	12	926

Error

Counts

926 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.9b	(/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
✓	30.7b	(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 1))
✓	16.3b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
✓	31.4b	(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
✓	30.3b	(/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))
✓	16.3b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
✓	31.4b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))
✓	31.6b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))
✓	30.8b	(-.f64 1 (sqrt.f64 1/2))
✓	30.9b	(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 -1/2 (/.f64 1/2 x)))
✓	32.2b	(.f64 1/8 (.f64 x x))
	56.3b	2/11

Compiler

Compiled 120 to 108 computations (10% saved)

regimes107.0ms (1.1%)

Counts

19 → 2

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.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 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 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 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 -1/2 (/.f64 1/2 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.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)

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

Calls

7 calls:

29.0ms	x
15.0ms	(/.f64 1 (hypot.f64 1 x))
8.0ms	(hypot.f64 1 x)
6.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))
4.0ms	(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))

Results

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

Compiler

Compiled 252 to 219 computations (13.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	7.8318806209854595

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes149.0ms (1.5%)

Counts

17 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.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 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 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 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (-.f64 1/2 (/.f64 1/2 x)))
(*.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))) (+.f64 -1/2 (/.f64 1/2 x)))
(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))

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

Calls

7 calls:

65.0ms	x
52.0ms	(/.f64 1 (hypot.f64 1 x))
7.0ms	(hypot.f64 1 x)
6.0ms	(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))
4.0ms	(+.f64 1 (/.f64 1 (hypot.f64 1 x)))

Results

Error	Segments	Branch
0.2b	3	`x`
0.3b	2	`(-.f64 1 (sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))))`
0.3b	2	`(sqrt.f64 (*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x)))))`
0.3b	2	`(*.f64 1/2 (+.f64 1 (/.f64 1 (hypot.f64 1 x))))`
0.3b	2	`(+.f64 1 (/.f64 1 (hypot.f64 1 x)))`
0.3b	2	`(/.f64 1 (hypot.f64 1 x))`
0.3b	2	`(hypot.f64 1 x)`

Compiler

Compiled 221 to 191 computations (13.6% saved)

bsearch65.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	5.641314503048724e-12	7.767776648524826
23.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

38.0ms

336×

body

256

valid

Compiler

Compiled 500 to 414 computations (17.2% saved)

regimes23.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.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 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 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)))))

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 87 to 72 computations (17.2% saved)

bsearch91.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	5.641314503048724e-12	7.767776648524826
23.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

86.0ms

336×

body

256

valid

Compiler

Compiled 440 to 364 computations (17.3% saved)

regimes24.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.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 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 1))
(/.f64 1 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))

Outputs
(/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.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:

21.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 73 to 60 computations (17.8% saved)

bsearch79.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
56.0ms	5.641314503048724e-12	7.767776648524826
23.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

74.0ms

336×

body

256

valid

Compiler

Compiled 396 to 331 computations (16.4% saved)

regimes20.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.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))))

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:

16.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 51 to 40 computations (21.6% saved)

bsearch45.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	5.641314503048724e-12	7.767776648524826
23.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

40.0ms

336×

body

256

valid

Compiler

Compiled 352 to 298 computations (15.3% saved)

regimes18.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.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))))

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:

17.0ms

Results

Error	Segments	Branch
0.6b	3	`x`

Compiler

Compiled 43 to 33 computations (23.3% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	5.641314503048724e-12	7.767776648524826
25.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

41.0ms

336×

body

256

valid

Compiler

Compiled 332 to 288 computations (13.3% saved)

regimes14.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(-.f64 1 (sqrt.f64 1/2))

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	5.641314503048724e-12	7.767776648524826
29.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

45.0ms

336×

body

256

valid

Compiler

Compiled 290 to 246 computations (15.2% saved)

regimes5.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))

Outputs
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
26.8b	1	`x`

Compiler

Compiled 25 to 16 computations (36% saved)

regimes11.0ms (0.1%)

Accuracy

Total -35.4b remaining (-133.1%)

Threshold costs -35.4b (-133.1%)

Counts

3 → 3

Calls

Call 1

Inputs
2/11
(.f64 1/8 (.f64 x x))
(/.f64 1 (/.f64 8 (*.f64 x x)))

Outputs
2/11
(.f64 1/8 (.f64 x x))
2/11

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
26.6b	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	5.641314503048724e-12	7.767776648524826
22.0ms	-29093736.51035287	-2.2429505499157067e-17

Results

38.0ms

336×

body

256

valid

Compiler

Compiled 227 to 183 computations (19.4% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
14×	`*-commutative`
12×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	606
1	101	606
2	118	606
3	129	606
4	137	606

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (hypot.f64 1 x) 2) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(if (<=.f64 x -5494391545392005/4503599627370496) 2/11 (if (<=.f64 x 5404319552844595/4503599627370496) (.f64 1/8 (.f64 x x)) 2/11))
2/11

Outputs
(if (<=.f64 (hypot.f64 1 x) 2) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 (hypot.f64 1 x))) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (-.f64 1/2 (/.f64 1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x)))))))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (/.f64 (+.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x)))))))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5494391545392005/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 -1/2 x))))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -5404319552844595/4503599627370496) (/.f64 (-.f64 1/2 (/.f64 -1/2 x)) (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (if (<=.f64 x 5/4) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 (-.f64 1/2 (/.f64 -1/2 x))))))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1)) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (/.f64 1/2 (+.f64 (sqrt.f64 1/2) 1))))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 3/2))) (/.f64 1/2 (+.f64 1 (sqrt.f64 1/2))) (.f64 1/8 (.f64 x x)))
(if (<=.f64 x -6980579422424269/4503599627370496) (-.f64 1 (sqrt.f64 1/2)) (if (<=.f64 x 3/2) (.f64 1/8 (.f64 x x)) (-.f64 1 (sqrt.f64 1/2))))
(if (or (<=.f64 x -6980579422424269/4503599627370496) (not (<=.f64 x 3/2))) (-.f64 1 (sqrt.f64 1/2)) (.f64 1/8 (.f64 x x)))
(/.f64 1 (+.f64 11/2 (/.f64 8 (*.f64 x x))))
(if (<=.f64 x -5494391545392005/4503599627370496) 2/11 (if (<=.f64 x 5404319552844595/4503599627370496) (.f64 1/8 (.f64 x x)) 2/11))
2/11

Compiler

Compiled 236 to 191 computations (19.1% saved)

soundness153.0ms (1.5%)

Algorithm

4×	egg-herbie

Rules

1538×	`associate-/r*`
1538×	`associate-/r*`
974×	`*-commutative`
974×	`*-commutative`
804×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	24	29
2	31	29
3	40	29
4	47	29
5	57	29
6	73	29
7	83	29
8	86	29
0	339	7163
1	937	6809
2	3599	6781
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	339	7163
1	937	6809
2	3599	6781

Stop Event

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

Compiler

Compiled 192 to 173 computations (9.9% saved)

end122.0ms (1.2%)

Compiler: Compiled 227 to 174 computations (23.3% saved)