Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	50%	0%	0%	0%	50%	0%	2

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.6s (13.5%)

Results

803.0ms	2312×	body	1024	valid
568.0ms	4908×	body	256	valid
188.0ms	1036×	body	512	valid

Bogosity

preprocess13.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

80×	`fma-def`
46×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

80×	`fma-def`
46×	`associate--r+`
38×	`associate-+l-`
30×	`+-commutative`
24×	`associate--l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 34 to 26 computations (23.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

21.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 1 (sqrt.f64 x))
✓	3.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series6.0ms (0.1%)

Counts

3 → 4

Calls

9 calls:

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

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`associate-*l/`
1052×	`*-commutative`
884×	`associate-/r*`
564×	`distribute-lft-in`
552×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	243	45
2	3324	45

Stop Event

1×	node limit

Counts

3 → 191

Calls

Call 1

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

Outputs
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Outputs

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

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

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

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1374×	`associate-+l-`
1302×	`associate-+r-`
1238×	`+-commutative`
830×	`associate--r+`
486×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	11675
1	1313	10687
2	5604	10687

Stop Event

1×	node limit

Counts

195 → 328

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) 1))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) 1))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (pow.f64 x -1/2) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (pow.f64 x -1/2) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (pow.f64 x -1/2) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))) 1)
(*.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 (+.f64 1 x)) -3)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x)))) (/.f64 1 x)))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x)))) (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
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(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4))) (.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 x 1/4)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (+.f64 1 x) 1/4)) (pow.f64 (+.f64 1 x) 1/4))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))) (cbrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (/.f64 (-.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 1 x)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(*.f64 1 (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) 1)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(*.f64 -1 (/.f64 -1 (sqrt.f64 x)))
(*.f64 (/.f64 -1 (sqrt.f64 x)) -1)
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (pow.f64 (cbrt.f64 x) -1))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) -1)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))

Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (.f64 3/8 (.f64 x x)))
(fma.f64 -1/2 x (fma.f64 3/8 (*.f64 x x) 1))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (.f64 x x) (.f64 -5/16 (pow.f64 x 3))))
(+.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x))))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (+.f64 1 x) -1/2))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))) (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x))))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x))))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 2 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x))))) (-.f64 (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (-.f64 (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x))))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))))) (-.f64 (+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2)))
(+.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2)) (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(+.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 2 (fma.f64 (neg.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2)) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (+.f64 1 x) -1/2))))
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(/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (fabs.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (fabs.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 1 1/2)) (sqrt.f64 (+.f64 1 x)))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/2))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))
(/.f64 (/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (fabs.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (+.f64 -1 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))) (fabs.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(.f64 -1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 -1 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 0 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (+.f64 1 x)))
(.f64 -1 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (+.f64 1 x))))))
(/.f64 (neg.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 -1 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 (+.f64 1 x))))
(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(fabs.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -1/2))) 1)
(pow.f64 x -1/2)
(*.f64 1 (pow.f64 x -1/2))
(pow.f64 x -1/2)
(*.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(*.f64 (sqrt.f64 (pow.f64 x -1/2)) (sqrt.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(*.f64 (cbrt.f64 (pow.f64 x -1/2)) (/.f64 1 (cbrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)))
(/.f64 (cbrt.f64 (pow.f64 x -1/2)) (cbrt.f64 x))
(*.f64 -1 (/.f64 -1 (sqrt.f64 x)))
(/.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 -1 (sqrt.f64 x)) -1)
(/.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 x 1/4) -1) (pow.f64 (pow.f64 x 1/4) -1))
(pow.f64 (pow.f64 x 1/4) -2)
(*.f64 (pow.f64 (cbrt.f64 x) -1) (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 x)) -1) (pow.f64 (cbrt.f64 x) -1))
(*.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (sqrt.f64 x))))
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 x) -1)
(/.f64 1 (sqrt.f64 x))
(pow.f64 (pow.f64 x -1/2) 1)
(pow.f64 x -1/2)
(pow.f64 (sqrt.f64 (pow.f64 x -1/2)) 2)
(pow.f64 x -1/2)
(pow.f64 (cbrt.f64 (pow.f64 x -1/2)) 3)
(pow.f64 x -1/2)
(pow.f64 (pow.f64 (sqrt.f64 x) -3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(sqrt.f64 (/.f64 1 x))
(log.f64 (exp.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -1/2))))
(pow.f64 x -1/2)
(cbrt.f64 (pow.f64 (sqrt.f64 x) -3))
(expm1.f64 (log1p.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(exp.f64 (log.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(log1p.f64 (expm1.f64 (pow.f64 x -1/2)))
(pow.f64 x -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2))
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) -1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -1))
(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 1 x))) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (sqrt.f64 (+.f64 1 x)))))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))))
(/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (hypot.f64 1 (pow.f64 x 3/2)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (sqrt.f64 (+.f64 1 x)) -1)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -1/2) 2)
(/.f64 1 (sqrt.f64 (+.f64 1 x)))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)
(pow.f64 (+.f64 1 x) -1/2)
(pow.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(pow.f64 (+.f64 1 x) -1/2)
(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) 1/2)))
(exp.f64 (*.f64 (log1p.f64 x) -1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)

eval249.0ms (2.1%)

Compiler: Compiled 8413 to 6034 computations (28.3% saved)

prune150.0ms (1.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	310	18	328
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	311	18	329

Error

5.4b

Counts

329 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	52.1b	(/.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (/.f64 1 (+.f64 1 x)) 3)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))
▶	5.5b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	48.1b	(/.f64 (-.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x))) (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
	21.4b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x (*.f64 x x))))
	48.1b	(/.f64 (+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (.f64 (+.f64 1 x) (+.f64 1 x)))) (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
	21.5b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	5.6b	(/.f64 (+.f64 1 (-.f64 x x)) (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	25.5b	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	21.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶	22.8b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	25.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
	23.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	34.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	23.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	32.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) -1/2)))
▶	34.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	23.2b	(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	21.5b	(*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))))

Compiler

Compiled 652 to 512 computations (21.5% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))
✓	0.1b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	16.0b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 57 to 24 computations (57.9% saved)

series12.0ms (0.1%)

Counts

4 → 17

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
3.0ms	x	@	inf	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))
2.0ms	x	@	0	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.0ms	x	@	0	(sqrt.f64 (+.f64 x (*.f64 x x)))

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-/r*`
1042×	`associate-/l*`
764×	`associate-/r/`
390×	`associate-+l+`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	110
1	309	88
2	4447	88

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

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

simplify167.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

704×	`associate-r`
698×	`+-commutative`
688×	`associate-+r+`
580×	`associate-+l+`
538×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	560	9253
1	1432	8929
2	6308	8927

Stop Event

1×	node limit

Counts

249 → 373

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

localize19.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	10.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series2.0ms (0%)

Counts

1 → 6

Calls

3 calls:

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

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`associate-*r/`
960×	`*-commutative`
734×	`associate-*l/`
490×	`distribute-lft-in`
480×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	244	25
2	3153	25

Stop Event

1×	node limit

Counts

1 → 98

Calls

Call 1

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

Outputs

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simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1738×	`associate-/l*`
1404×	`associate-/r*`
1080×	`associate-*r/`
900×	`*-commutative`
860×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	295	8158
1	832	7978
2	3325	7978

Stop Event

1×	node limit

Counts

104 → 185

Calls

Call 1

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

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

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (+.f64 1 x))
✓	0.2b	(*.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))))
✓	0.3b	(/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	3.3b	(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))

Compiler

Compiled 74 to 58 computations (21.6% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite149.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1230×	`associate-/l*`
896×	`associate-/l/`
366×	`add-sqr-sqrt`
360×	`associate-+l+`
352×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	356	94
2	5261	94

Stop Event

1×	node limit

Counts

4 → 314

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 x) (/.f64 1 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simplify252.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/r*`
964×	`associate-r`
868×	`+-commutative`
838×	`associate-/l*`
744×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	950	24908
1	2910	24190

Stop Event

1×	node limit

Counts

362 → 560

Calls

Call 1

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

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

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 x) 1/4)
	0.2b	(/.f64 1 (sqrt.f64 x))
✓	0.3b	(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
✓	17.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))

Compiler

Compiled 38 to 28 computations (26.3% saved)

series7.0ms (0.1%)

Counts

3 → 26

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
2.0ms	x	@	inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
0.0ms	x	@	-inf	(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
0.0ms	x	@	-inf	(pow.f64 (+.f64 1 x) 1/4)

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`*-commutative`
1004×	`associate-*r/`
738×	`associate-*l/`
582×	`distribute-lft-in`
570×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	291	51
2	3641	51

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

simplify151.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-*r/`
1152×	`+-commutative`
1070×	`associate-*l/`
618×	`associate-+l-`
572×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	10670
1	1252	10358
2	5033	10358

Stop Event

1×	node limit

Counts

168 → 276

Calls

Call 1

Inputs
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(/.f64 -1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (.f64 -1/4 (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4)))) (+.f64 (.f64 3/128 (pow.f64 (/.f64 1 x) 1/4)) (.f64 7/128 (pow.f64 (/.f64 1 x) 1/4)))))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(-.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (.f64 3/8 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2)) (.f64 3/8 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 2))))) (+.f64 (.f64 5/16 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2) x)))))
1
(+.f64 1 (*.f64 1/4 x))
(+.f64 1 (+.f64 (.f64 -3/32 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 1 (+.f64 (.f64 7/128 (pow.f64 x 3)) (+.f64 (.f64 -3/32 (pow.f64 x 2)) (*.f64 1/4 x))))
(pow.f64 x 1/4)
(+.f64 (pow.f64 x 1/4) (*.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)))
(+.f64 (pow.f64 x 1/4) (+.f64 (.f64 1/4 (pow.f64 (/.f64 1 (pow.f64 x 3)) 1/4)) (.f64 -3/32 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/4))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (.f64 1 (-.f64 (/.f64 1 x) (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3))) (+.f64 (/.f64 1 x) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 x)))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)))) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2)) (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (.f64 (-.f64 (/.f64 1 x) (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))) 1) (-.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 3)) 1) (+.f64 (/.f64 1 x) (-.f64 (.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (sqrt.f64 x)))))
(/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))) 1) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (.f64 (-.f64 (/.f64 (/.f64 1 x) x) (.f64 (pow.f64 (+.f64 1 x) -1) (pow.f64 (+.f64 1 x) -1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 (pow.f64 (+.f64 1 x) -1) (/.f64 1 x)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 1 x) 3) (pow.f64 (pow.f64 (+.f64 1 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 (/.f64 (/.f64 1 x) x) (+.f64 (.f64 (pow.f64 (+.f64 1 x) -1) (pow.f64 (+.f64 1 x) -1)) (/.f64 (pow.f64 (+.f64 1 x) -1) x))))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 x 3/2)) (.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (+.f64 1 x) -3/2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x))))) (+.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (sqrt.f64 x) -3) 3) (pow.f64 (pow.f64 (+.f64 1 x) -3/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x))))) (+.f64 (/.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 x 3/2)) (+.f64 (.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (+.f64 1 x) -3/2)) (/.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 x 3/2)))))
(/.f64 (/.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)) 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (/.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) 1) (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 1 -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/8) -2) (pow.f64 (pow.f64 (+.f64 1 x) 1/8) -2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) -2) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -2))
(/.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (pow.f64 (+.f64 1 x) -1))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 1 x) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(exp.f64 (*.f64 (log1p.f64 x) -1/2))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 (+.f64 1 x) 1/4) 1)
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 1 1/4))
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 1/8))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (pow.f64 1 1/4) (pow.f64 (+.f64 1 x) 1/4))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/4) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/4))
(sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 1/4))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))
(exp.f64 (*.f64 1/4 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 1/4)))

Outputs
(*.f64 -1 (sqrt.f64 (/.f64 1 x)))
(neg.f64 (sqrt.f64 (/.f64 1 x)))
(/.f64 -1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(/.f64 -1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(/.f64 -1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(fma.f64 x -1/2 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 3/8 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (.f64 3/8 (.f64 x x)))
(fma.f64 x -1/2 (fma.f64 3/8 (*.f64 x x) 1))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (.f64 x x) (.f64 -5/16 (pow.f64 x 3))))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 3/8 (.f64 x x) (.f64 -5/16 (pow.f64 x 3))))
(sqrt.f64 (/.f64 1 x))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (pow.f64 (/.f64 1 x) 3))))
(fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 -1/2 (sqrt.f64 (pow.f64 (/.f64 1 x) 3))))))
(fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (.f64 -1/4 (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4)))) (+.f64 (.f64 3/128 (pow.f64 (/.f64 1 x) 1/4)) (.f64 7/128 (pow.f64 (/.f64 1 x) 1/4)))))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (+.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (+.f64 (.f64 -3/32 (pow.f64 (/.f64 1 x) 1/4)) (.f64 -1/16 (pow.f64 (/.f64 1 x) 1/4))))) (*.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))))
(fma.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 -1/4 (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32) (.f64 (pow.f64 (/.f64 1 x) 1/4) 5/64))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (+.f64 (sqrt.f64 (/.f64 1 x)) (fma.f64 1/2 (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32) (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4)) (.f64 -1/2 (sqrt.f64 (pow.f64 (/.f64 1 x) 3))))))))
(fma.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) (fma.f64 (pow.f64 (/.f64 1 x) 1/4) 5/64 (.f64 (pow.f64 (/.f64 1 x) 1/4) 5/128))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (fma.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 9)) 1/4) (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32)) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (sqrt.f64 (/.f64 1 x)))) (.f64 (.f64 (pow.f64 (/.f64 1 x) 1/4) -5/32) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 13)) 1/4) 1/2)))))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) 2))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))
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1
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(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) 1) (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) 1) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) 1) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)) (/.f64 1 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) 1) (+.f64 (/.f64 1 (+.f64 1 x)) (+.f64 (/.f64 1 x) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (+.f64 1 x) -3/2)) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (sqrt.f64 x)))))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 1)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 3)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(fabs.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 1 x) -1/2)))
(-.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2))) (pow.f64 (+.f64 1 x) -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2))) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 1 (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) 1)
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 1 -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/4))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1)) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (cbrt.f64 (/.f64 1 (+.f64 1 x))))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 1 x) -1/2))
(pow.f64 (+.f64 1 x) -1/2)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/8) -2) (pow.f64 (pow.f64 (+.f64 1 x) 1/8) -2))
(pow.f64 (pow.f64 (+.f64 1 x) 1/8) -4)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) -2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) -2) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) -2))
(/.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) 1/4))
(sqrt.f64 (pow.f64 (+.f64 1 x) -1))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2))))
(pow.f64 (+.f64 1 x) -1/2)
(cbrt.f64 (pow.f64 (+.f64 1 x) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(exp.f64 (*.f64 (log1p.f64 x) -1/2))
(pow.f64 (exp.f64 (log1p.f64 x)) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -1/2)))
(pow.f64 (+.f64 1 x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4))) 1)
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 1 (pow.f64 (+.f64 1 x) 1/4))
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (pow.f64 (+.f64 1 x) 1/4) 1)
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (pow.f64 (+.f64 1 x) 1/4) (pow.f64 1 1/4))
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (pow.f64 (+.f64 1 x) 1/8) (pow.f64 (+.f64 1 x) 1/8))
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 (pow.f64 1 1/4) (pow.f64 (+.f64 1 x) 1/4))
(pow.f64 (+.f64 1 x) 1/4)
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/4) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/4))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/2)
(sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1/4) (pow.f64 (cbrt.f64 (+.f64 1 x)) 1/4))
(sqrt.f64 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) 1/2)
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) 1/4)))
(pow.f64 (+.f64 1 x) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) 1/4))))
(pow.f64 (+.f64 1 x) 1/4)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 3))
(pow.f64 (+.f64 1 x) 1/4)
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) 1/4)))
(pow.f64 (+.f64 1 x) 1/4)
(exp.f64 (*.f64 1/4 (log1p.f64 x)))
(pow.f64 (exp.f64 1/4) (log1p.f64 x))
(pow.f64 (exp.f64 (log1p.f64 x)) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) 1/4)))
(pow.f64 (+.f64 1 x) 1/4)

eval1.2s (10.4%)

Compiler: Compiled 44839 to 33402 computations (25.5% saved)

prune338.0ms (2.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	1475	20	1495
Fresh	11	2	13
Picked	1	0	1
Done	3	1	4
Total	1490	23	1513

Error

Counts

1513 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	5.7b	(/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (+.f64 x (*.f64 x x)) (+.f64 1 (-.f64 x x))))
	27.7b	(/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	5.6b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (/.f64 1 (/.f64 1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
	22.8b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 1)
	27.9b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	33.0b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
▶	0.4b	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
	5.7b	(/.f64 (+.f64 1 (-.f64 x x)) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (+.f64 x (*.f64 x x)))))
	5.7b	(/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (.f64 (+.f64 1 x) x)))
	33.0b	(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
	21.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.9b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	34.3b	(-.f64 (pow.f64 x -1/2) 1)
▶	23.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
▶	34.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
✓	34.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	34.3b	(.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (.f64 x x)))
▶	0.3b	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
	45.4b	(.f64 (.f64 1/2 (sqrt.f64 x)) (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))))
	41.5b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
▶	34.2b	(sqrt.f64 (/.f64 1 x))
	0.8b	(neg.f64 (/.f64 -1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))

Compiler

Compiled 621 to 468 computations (24.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 25 computations (51.9% saved)

series25.0ms (0.2%)

Counts

4 → 4

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
4.0ms	x	@	-inf	(/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
3.0ms	x	@	inf	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
3.0ms	x	@	0	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
3.0ms	x	@	inf	(/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`associate-/r*`
898×	`associate-/l*`
768×	`distribute-rgt-in`
730×	`distribute-lft-in`
490×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	108
1	277	108
2	3607	108

Stop Event

1×	node limit

Counts

4 → 278

Calls

Call 1

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

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

simplify196.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1178×	`times-frac`
964×	`associate-/l*`
926×	`associate-r`
900×	`associate-/r*`
732×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	14424
1	2003	13926

Stop Event

1×	node limit

Counts

282 → 438

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`add-sqr-sqrt`
1148×	`*-un-lft-identity`
1082×	`pow1`
1068×	`add-cube-cbrt`
1058×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	136	7
2	1531	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-+r+`
1158×	`associate-/r*`
1114×	`associate-+l+`
1092×	`associate-r`
1012×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	506
1	122	404
2	326	314
3	944	314
4	4557	314

Stop Event

1×	node limit

Counts

26 → 29

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite121.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1480×	`associate-*r/`
1032×	`*-commutative`
1026×	`associate-*l/`
716×	`distribute-lft-in`
504×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	242	21
2	3208	21

Stop Event

1×	node limit

Counts

1 → 154

Calls

Call 1

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

Outputs

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simplify163.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1424×	`+-commutative`
1202×	`associate-+l-`
966×	`associate-+r-`
916×	`associate--r+`
586×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	10954
1	1315	10378
2	5455	9906

Stop Event

1×	node limit

Counts

158 → 253

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 x) -1/2)
	0.2b	(/.f64 1 (sqrt.f64 x))
✓	10.5b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series2.0ms (0%)

Counts

2 → 14

Calls

6 calls:

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

rewrite121.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`associate-*r/`
960×	`*-commutative`
718×	`associate-*l/`
558×	`distribute-lft-in`
546×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	243	38
2	3146	38

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-*r/`
1418×	`associate-+l+`
1412×	`associate-+r+`
864×	`+-commutative`
574×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	8972
1	974	8672
2	4126	8584

Stop Event

1×	node limit

Counts

134 → 230

Calls

Call 1

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

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

localize57.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.2b	(*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	0.4b	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))

Compiler

Compiled 57 to 43 computations (24.6% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
2.0ms	x	@	0	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
1.0ms	x	@	inf	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
0.0ms	x	@	-inf	(*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.0ms	x	@	inf	(*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

rewrite137.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`distribute-lft-in`
1226×	`associate-/r/`
908×	`associate-/l/`
296×	`add-sqr-sqrt`
282×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	111
1	284	99
2	4256	99

Stop Event

1×	node limit

Counts

3 → 239

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify252.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-r`
1046×	`*-commutative`
996×	`associate-/r*`
912×	`distribute-lft-in`
812×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	805	20573
1	2546	20175

Stop Event

1×	node limit

Counts

275 → 463

Calls

Call 1

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

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

eval1.2s (10.6%)

Compiler: Compiled 45618 to 32387 computations (29% saved)

prune626.0ms (5.4%)

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1511	16	1527
Fresh	9	8	17
Picked	1	0	1
Done	1	4	5
Total	1522	28	1550

Error

Counts

1550 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	34.2b	(pow.f64 x -1/2)
▶	0.1b	(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
▶	5.1b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	5.7b	(/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (+.f64 x (*.f64 x x)) (+.f64 1 (-.f64 x x))))
	27.7b	(/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.4b	(/.f64 (/.f64 1 x) (+.f64 (*.f64 (+.f64 1 x) (pow.f64 x -1/2)) (sqrt.f64 (+.f64 1 x))))
	23.9b	(/.f64 (/.f64 1 x) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 2 (sqrt.f64 x))))
	0.4b	(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x))))))
	22.6b	(/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1))))
	24.5b	(/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (.f64 (sqrt.f64 (/.f64 1 x)) 2)))
	28.8b	(/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 x)))
	5.7b	(/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (.f64 (+.f64 1 x) x)))
	0.8b	(/.f64 1 (*.f64 x (fma.f64 (pow.f64 x -1/2) (+.f64 1 x) (sqrt.f64 (+.f64 1 x)))))
	34.3b	(/.f64 1 (sqrt.f64 x))
▶	21.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.9b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	34.3b	(-.f64 (pow.f64 x -1/2) 1)
✓	23.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
✓	34.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
✓	34.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
▶	23.1b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	62.5b	(-.f64 (*.f64 1/2 x) 1)
	23.1b	(+.f64 1 (-.f64 (pow.f64 x -1/2) 1))
	34.3b	(.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 1 (.f64 x x)))
	0.4b	(.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) x)))
	41.5b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
▶	61.6b	(*.f64 1/2 x)
✓	34.2b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 662 to 522 computations (21.1% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.1b	(/.f64 (pow.f64 x -1/2) (+.f64 1 x))
✓	0.1b	(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
✓	10.5b	(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))

Compiler

Compiled 69 to 52 computations (24.6% saved)

series16.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
3.0ms	x	@	-inf	(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
3.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
1.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x)))
1.0ms	x	@	0	(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))

rewrite167.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`associate-/l/`
1078×	`distribute-rgt-in`
1050×	`distribute-lft-in`
296×	`add-sqr-sqrt`
284×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	129
1	283	117
2	4419	117

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify207.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

820×	`associate-r`
774×	`associate-l`
730×	`*-commutative`
530×	`associate-/r*`
528×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	516	11039
1	1550	10481
2	6810	10481

Stop Event

1×	node limit

Counts

171 → 235

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series47.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
15.0ms	x	@	-inf	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
6.0ms	x	@	inf	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1698×	`add-sqr-sqrt`
1668×	`*-un-lft-identity`
1578×	`add-cube-cbrt`
1568×	`add-cbrt-cube`
176×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	182	7
2	2408	7

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1610×	`associate-/l*`
1112×	`associate-/r*`
1026×	`associate-r`
996×	`fma-def`
894×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1448
1	292	1342
2	1063	1178
3	5896	1178

Stop Event

1×	node limit

Counts

56 → 66

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) -1/2)
✓	3.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite136.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`unswap-sqr`
806×	`*-commutative`
694×	`associate-*r/`
526×	`associate-*l/`
480×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	204	38
2	2676	38

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1 (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -1/2) (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1)) (pow.f64 (+.f64 x 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (fma.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 1 (pow.f64 (+.f64 x 1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 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simplify134.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1446×	`associate-*r/`
1040×	`+-commutative`
1038×	`associate-*l/`
620×	`associate-+l-`
576×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	10268
1	1204	9442
2	4654	9442

Stop Event

1×	node limit

Counts

160 → 279

Calls

Call 1

Inputs
(-.f64 (pow.f64 x -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (.f64 -3/8 (pow.f64 x 2)))) 1)
(-.f64 (+.f64 (.f64 1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 (.f64 5/16 (pow.f64 x 3)) (*.f64 -3/8 (pow.f64 x 2))))) 1)
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 -35/128 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (.f64 -3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))))
(.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))
(+.f64 (.f64 1/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)) (.f64 -3/8 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))))
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))) (sqrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (cbrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))) (/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))) (cbrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (cbrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)))) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)))))
(/.f64 (-.f64 (.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -3/2))) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))
(/.f64 (-.f64 (.f64 (pow.f64 x -3/2) (pow.f64 x -3/2)) (.f64 (pow.f64 (+.f64 x 1) -3/2) (pow.f64 (+.f64 x 1) -3/2))) (.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))
(/.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)) (neg.f64 (pow.f64 (+.f64 x (*.f64 x x)) -1/2))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -1) 3) (pow.f64 (pow.f64 (+.f64 x 1) -1) 3)) (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (+.f64 (.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (*.f64 (pow.f64 (+.f64 x 1) -1) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x -3/2) 3) (pow.f64 (pow.f64 (+.f64 x 1) -3/2) 3)) (.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))) (+.f64 (.f64 (pow.f64 x -3/2) (pow.f64 x -3/2)) (.f64 (pow.f64 (+.f64 x 1) -3/2) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x -1)) (pow.f64 (+.f64 x 1) -1)) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)) (neg.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (sqrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2) (cbrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (neg.f64 (pow.f64 (+.f64 x 1) -1/2)) 3)) 1) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)) (neg.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x -1)) (pow.f64 (+.f64 x 1) -1)) 1) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (*.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 (+.f64 x 1) -3/2))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x -1) 3) (pow.f64 (pow.f64 (+.f64 x 1) -1) 3)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (+.f64 (.f64 (pow.f64 x -1/2) (pow.f64 x -3/2)) (*.f64 (pow.f64 (+.f64 x 1) -1) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x -3/2) (pow.f64 x -3/2)) (.f64 (pow.f64 (+.f64 x 1) -3/2) (pow.f64 (+.f64 x 1) -3/2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x -3/2) 3) (pow.f64 (pow.f64 (+.f64 x 1) -3/2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))) (+.f64 (.f64 (pow.f64 x -3/2) (pow.f64 x -3/2)) (.f64 (pow.f64 (+.f64 x 1) -3/2) (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) 1) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1)))))
(pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 1)
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 2)
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) 3)
(pow.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 x -1) (pow.f64 (+.f64 x 1) -1)) (neg.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 x 1) -3/2)) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) -1/2) (+.f64 (pow.f64 (+.f64 x 1) -1) (pow.f64 x -1))))))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 2))
(log.f64 (exp.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) 3))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(fma.f64 (cbrt.f64 (pow.f64 x -1)) (cbrt.f64 (pow.f64 x -1/2)) (neg.f64 (pow.f64 (+.f64 x 1) -1/2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2))) 1)
(*.f64 1 (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (+.f64 x 1) -1/2) 1)
(*.f64 (pow.f64 (+.f64 x 1) -1/2) (pow.f64 1 -1/2))
(*.f64 (pow.f64 (+.f64 x 1) -1/4) (pow.f64 (+.f64 x 1) -1/4))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1)) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))
(*.f64 (pow.f64 1 -1/2) (pow.f64 (+.f64 x 1) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1/2) (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -1/2) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) -1/2))
(.f64 (.f64 (pow.f64 (+.f64 x 1) -1/8) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4))) (*.f64 (pow.f64 (+.f64 x 1) -1/8) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4) (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (+.f64 x 1) -1/8)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (+.f64 x 1) -1/8)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4) (pow.f64 (+.f64 x 1) -1/8)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4) (pow.f64 (+.f64 x 1) -1/8)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4)) (*.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) -1/4)) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4)))
(.f64 (.f64 (pow.f64 (+.f64 x 1) -1/8) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4)) (*.f64 (pow.f64 (+.f64 x 1) -1/8) (pow.f64 (sqrt.f64 (+.f64 x 1)) -1/4)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/4)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1))) (cbrt.f64 (pow.f64 (+.f64 x 1) -1/4))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) -1/2)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) -1/8) (pow.f64 (pow.f64 (+.f64 x 1) 2) -1/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) -3/2) 1/6) (pow.f64 (pow.f64 (+.f64 x 1) -3/2) 1/6))
(sqrt.f64 (pow.f64 (+.f64 x 1) -1))
(log.f64 (exp.f64 (pow.f64 (+.f64 x 1) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 x 1) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x 1) -1/2)))
(exp.f64 (*.f64 -1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x 1) -1/2)))

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.1b	(/.f64 (/.f64 1 x) (+.f64 1 x))
✓	5.1b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

Compiler

Compiled 51 to 38 computations (25.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-/r/`
1242×	`associate-/l/`
888×	`distribute-lft-in`
296×	`add-sqr-sqrt`
282×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
1	284	68
2	4238	68

Stop Event

1×	node limit

Counts

2 → 163

Calls

Call 1

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

Outputs

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

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1082×	`*-commutative`
870×	`associate-*l/`
856×	`associate-r`
784×	`associate-l`
744×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	615	13689
1	2022	12543

Stop Event

1×	node limit

Counts

187 → 332

Calls

Call 1

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

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

eval808.0ms (6.9%)

Compiler: Compiled 37454 to 29777 computations (20.5% saved)

prune263.0ms (2.3%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1127	9	1136
Fresh	7	12	19
Picked	1	0	1
Done	1	7	8
Total	1136	28	1164

Error

Counts

1164 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	38.4b	(pow.f64 (*.f64 x x) -1/4)
	34.2b	(pow.f64 x -1/2)
	24.4b	(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 x))) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
	22.6b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1)))
	29.2b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))
	27.7b	(/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	34.3b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	0.4b	(/.f64 (/.f64 1 x) (+.f64 (*.f64 (+.f64 1 x) (pow.f64 x -1/2)) (sqrt.f64 (+.f64 1 x))))
	23.9b	(/.f64 (/.f64 1 x) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 2 (sqrt.f64 x))))
	24.5b	(/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (.f64 (sqrt.f64 (/.f64 1 x)) 2)))
	28.8b	(/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 x)))
	0.8b	(/.f64 1 (.f64 (+.f64 (pow.f64 (+.f64 1 x) 1/2) (.f64 (pow.f64 x -1/2) (+.f64 1 x))) x))
	5.7b	(/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (.f64 (+.f64 1 x) x)))
	34.3b	(/.f64 1 (sqrt.f64 x))
✓	21.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.9b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	34.3b	(-.f64 (pow.f64 x -1/2) 1)
✓	23.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
✓	34.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
✓	34.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
✓	23.1b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	62.5b	(-.f64 (*.f64 1/2 x) 1)
	23.1b	(+.f64 (+.f64 (pow.f64 x -1/2) -1) 1)
	41.1b	(*.f64 1/2 (sqrt.f64 (pow.f64 (/.f64 1 x) 3)))
	41.5b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	61.6b	(*.f64 1/2 x)
✓	34.2b	(sqrt.f64 (/.f64 1 x))
	0.4b	(neg.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (-.f64 -1 x)))

Compiler

Compiled 315 to 251 computations (20.3% saved)

regimes58.0ms (0.5%)

Counts

64 → 1

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 909 to 647 computations (28.8% saved)

regimes53.0ms (0.5%)

Counts

59 → 1

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (-.f64 -1 x)))

Calls

2 calls:

25.0ms	x
9.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 794 to 570 computations (28.2% saved)

regimes36.0ms (0.3%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	x
8.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.4b	1	`x`
0.4b	1	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 444 to 333 computations (25% saved)

regimes50.0ms (0.4%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
11.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 343 to 257 computations (25.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7909019437947352e-9	0.0008158526334558214

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes86.0ms (0.7%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 313 to 236 computations (24.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7909019437947352e-9	0.0008158526334558214

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes79.0ms (0.7%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

61.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 300 to 227 computations (24.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.126669337593895e-13	2.7909019437947352e-9

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes30.0ms (0.3%)

Counts

24 → 2

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
1.0b	2	`x`

Compiler

Compiled 206 to 156 computations (24.3% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.03850101373004582	71.6518625489962

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 232 to 189 computations (18.5% saved)

regimes22.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.0b	2	`x`

Compiler

Compiled 128 to 94 computations (26.6% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	0.03850101373004582	71.6518625489962

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 184 to 149 computations (19% saved)

regimes18.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.2b	2	`x`

Compiler

Compiled 67 to 50 computations (25.4% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.03850101373004582	71.6518625489962

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 152 to 125 computations (17.8% saved)

regimes14.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 x -1/2) 1)
(pow.f64 (*.f64 x x) -1/4)

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
22.1b	2	`x`

Compiler

Compiled 59 to 45 computations (23.7% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.03850101373004582	71.6518625489962

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 128 to 101 computations (21.1% saved)

regimes7.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(pow.f64 x -1/2)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
34.2b	1	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes4.0ms (0%)

Accuracy

Total -1.0b remaining (-1.5%)

Threshold costs -1.0b (-1.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
61.6b	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`+-commutative`
30×	`*-commutative`
22×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	710
1	105	706
2	127	706
3	144	706
4	151	706
5	152	706

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
(neg.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (-.f64 -1 x)))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 (+.f64 1 x) (pow.f64 x -1/2)) (sqrt.f64 (+.f64 1 x))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 x) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 2 (sqrt.f64 x)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3961408125713217/9903520314283042199192993792) (/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (.f64 (sqrt.f64 (/.f64 1 x)) 2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (/.f64 (/.f64 1 x) (.f64 2 (sqrt.f64 x))))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 x))))
(if (<=.f64 x 3602879701896397/4503599627370496) (-.f64 (pow.f64 x -1/2) 1) (pow.f64 (*.f64 x x) -1/4))
(pow.f64 x -1/2)
(*.f64 1/2 x)

Outputs
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 1 x))))
(/.f64 (pow.f64 x -1/2) (/.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (pow.f64 x -1/2) (+.f64 x 1))))
(neg.f64 (/.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (-.f64 -1 x)))
(/.f64 (neg.f64 (/.f64 1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))) (-.f64 -1 x))
(/.f64 (/.f64 -1 (*.f64 x (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (-.f64 -1 x))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 (+.f64 1 x) (pow.f64 x -1/2)) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 x) (+.f64 (*.f64 (pow.f64 x -1/2) (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 x) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 2 (sqrt.f64 x)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 x) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 (sqrt.f64 x) 2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 x) (+.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 (sqrt.f64 x) 2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/604462909807314587353088) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3961408125713217/9903520314283042199192993792) (/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (.f64 (sqrt.f64 (/.f64 1 x)) 2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3961408125713217/9903520314283042199192993792) (/.f64 (/.f64 1 x) (.f64 (+.f64 x 1) (.f64 (sqrt.f64 (/.f64 1 x)) 2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 x 1)))) 3961408125713217/9903520314283042199192993792) (/.f64 (/.f64 1 x) (.f64 (+.f64 x 1) (.f64 (sqrt.f64 (/.f64 1 x)) 2))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (/.f64 (/.f64 1 x) (.f64 (+.f64 1 x) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 x -1/2))) (/.f64 (/.f64 1 x) (.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))))
(if (<=.f64 x 5944751508129055/9007199254740992) (+.f64 (pow.f64 x -1/2) (+.f64 -1 (.f64 x 1/2))) (/.f64 (/.f64 1 x) (.f64 (+.f64 x 1) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (/.f64 (/.f64 1 x) (.f64 2 (sqrt.f64 x))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 x -1/2))) (/.f64 (/.f64 1 x) (.f64 (sqrt.f64 x) 2)))
(if (<=.f64 x 1) (+.f64 (pow.f64 x -1/2) (+.f64 -1 (.f64 x 1/2))) (/.f64 (/.f64 1 x) (.f64 (sqrt.f64 x) 2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (/.f64 1 x) (*.f64 2 (sqrt.f64 x))))
(if (<=.f64 x 5944751508129055/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (/.f64 (/.f64 1 x) (*.f64 (sqrt.f64 x) 2)))
(if (<=.f64 x 3602879701896397/4503599627370496) (-.f64 (pow.f64 x -1/2) 1) (pow.f64 (*.f64 x x) -1/4))
(if (<=.f64 x 3602879701896397/4503599627370496) (+.f64 (pow.f64 x -1/2) -1) (pow.f64 (*.f64 x x) -1/4))
(pow.f64 x -1/2)
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 262 to 205 computations (21.8% saved)

soundness158.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1214×	`associate-/r*`
1092×	`associate-r`
1046×	`*-commutative`
996×	`associate-/r*`
964×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	950	24908
1	2910	24190
0	805	20573
1	2546	20175

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 316 to 221 computations (30.1% saved)

end132.0ms (1.1%)

Compiler: Compiled 251 to 190 computations (24.3% saved)

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33
0	1	1

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33
0	1	1

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33
0	1	1

Iter	Nodes	Cost
0	11	33
1	16	33
2	22	33
3	31	33
4	41	33
5	59	33
6	110	33
7	148	33
8	193	33
9	233	33
10	257	33
11	259	33