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)

sample1.9s (18.5%)

Results

794.0ms	2347×	body	1024	valid
774.0ms	4903×	body	256	valid
276.0ms	1006×	body	512	valid

Bogosity

preprocess11.0ms (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)

simplify20.0ms (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

22.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize14.0ms (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))
✓	3.5b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series5.0ms (0%)

Counts

3 → 4

Calls

9 calls:

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

rewrite94.0ms (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)))))))

simplify142.0ms (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)

eval195.0ms (1.9%)

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

prune95.0ms (1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	311	17	328
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	17	329

Error

4.8b

Counts

329 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.0b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	46.2b	(/.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)))))
	22.4b	(/.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
	46.1b	(/.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)))))
▶	22.5b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	5.0b	(/.f64 (+.f64 1 (-.f64 x x)) (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	22.3b	(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
	26.5b	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	22.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	26.3b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2))
	23.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	33.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	25.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	31.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) -1/2)))
▶	33.5b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	25.0b	(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 536 to 422 computations (21.3% saved)

localize19.0ms (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))))
✓	0.2b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	13.7b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 57 to 24 computations (57.9% saved)

series10.0ms (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)))
2.0ms	x	@	inf	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
2.0ms	x	@	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)))
0.0ms	x	@	-inf	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite98.0ms (1%)

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

simplify177.0ms (1.8%)

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 2 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts

1 → 2

Calls

3 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`add-sqr-sqrt`
1528×	`*-un-lft-identity`
1430×	`add-cube-cbrt`
1418×	`add-cbrt-cube`
1406×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	13
2	2051	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

908×	`distribute-lft-in`
866×	`fma-def`
858×	`associate-r`
782×	`distribute-rgt-in`
770×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	808
1	177	704
2	671	704
3	3156	704

Stop Event

1×	node limit

Counts

34 → 43

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x -1/2)
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	9.9b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series44.0ms (0.4%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(pow.f64 x -1/2)
16.0ms	x	@	-inf	(pow.f64 x -1/2)
6.0ms	x	@	inf	(pow.f64 x -1/2)
0.0ms	x	@	-inf	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite82.0ms (0.8%)

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	36
1	244	32
2	3153	32

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

simplify183.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-/r*`
1126×	`associate-*r/`
1026×	`associate-+r+`
1026×	`+-commutative`
944×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	8608
1	872	8420
2	3632	8408

Stop Event

1×	node limit

Counts

134 → 211

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

localize72.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
✓	0.0b	(/.f64 -1 (+.f64 1 x))
✓	0.3b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	3.5b	(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))

Compiler

Compiled 61 to 47 computations (23% saved)

series25.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	x	@	0	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms	x	@	inf	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms	x	@	-inf	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.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 (+.f64 1 x)))
0.0ms	x	@	-inf	(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r/`
1464×	`associate-/l*`
342×	`add-sqr-sqrt`
328×	`*-un-lft-identity`
324×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	331	63
2	4844	63

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

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

simplify159.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-r`
766×	`*-commutative`
724×	`distribute-lft-in`
720×	`+-commutative`
694×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	761	16792
1	2349	16448

Stop Event

1×	node limit

Counts

284 → 438

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))))
(/.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))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(-.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 (/.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 (/.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)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(-.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/16 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 5))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 x)) (+.f64 (.f64 3/32 (sqrt.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x)))))) (pow.f64 x 5))) (+.f64 (.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))))
(/.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 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.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 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.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 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (+.f64 (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))) (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 5))))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 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)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) (-.f64 1 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 1 (-.f64 -1 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))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(-.f64 (/.f64 (pow.f64 x -2) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (-.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (+.f64 (/.f64 1 x) (/.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)))))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x))))) 1)
(-.f64 (+.f64 (/.f64 1 (-.f64 -1 x)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) 1)
(*.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)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) 2) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))
(*.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(.f64 (+.f64 (pow.f64 x -3) (/.f64 1 (pow.f64 (-.f64 -1 x) 3))) (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 x -2) (/.f64 1 (.f64 x (-.f64 -1 x)))))))
(.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (.f64 x x))))
(*.f64 (/.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))) (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))))
(.f64 (/.f64 1 (+.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)) (-.f64 (pow.f64 x -2) (/.f64 1 (.f64 x (-.f64 -1 x)))))) (+.f64 (pow.f64 x -3) (/.f64 1 (pow.f64 (-.f64 -1 x) 3))))
(.f64 (/.f64 1 (+.f64 x (.f64 x x))) (+.f64 1 (-.f64 x x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2)))) (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))
(.f64 (/.f64 (-.f64 (pow.f64 x -2) (/.f64 1 (pow.f64 (+.f64 1 x) 2))) (+.f64 (+.f64 1 x) x)) (+.f64 x (.f64 x x)))
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(cbrt.f64 (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))))
(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) (neg.f64 (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)))
(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 (-.f64 -1 x)))
(*.f64 -1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) 1)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 1 (sqrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.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 (.f64 x x) x)))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (*.f64 -1 (-.f64 1 x)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (.f64 -1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(.f64 (/.f64 1 (neg.f64 (-.f64 1 (.f64 x x)))) (-.f64 1 x))
(.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (-.f64 (.f64 x x) x)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (-.f64 1 x)))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(.f64 (/.f64 -1 (-.f64 (.f64 x x) 1)) (-.f64 x 1))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(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 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.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))))
(+.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 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 4)) (/.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))))
(+.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 (+.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 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(+.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.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 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) x (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.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 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) x (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.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 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)))
(+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (-.f64 (fma.f64 (-.f64 (/.f64 5/16 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 3/8 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))) (.f64 x x) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) x (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (/.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 5/16 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 3/8 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))) (.f64 x x) (fma.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 1 (pow.f64 x -1/2))) (/.f64 3/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) x (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) 1/8))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 -1/4 (/.f64 (.f64 (sqrt.f64 x) -3/8) (pow.f64 x 4)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 3/32))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 (.f64 (sqrt.f64 x) 3/32) (pow.f64 x 4)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 3/32))))
(-.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/16 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 5))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 x)) (+.f64 (.f64 3/32 (sqrt.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x)))))) (pow.f64 x 5))) (+.f64 (.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))))
(-.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 3/16 (/.f64 (.f64 (sqrt.f64 x) -3/8) (pow.f64 x 5)) (fma.f64 -1/4 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 x)) (fma.f64 3/32 (sqrt.f64 x) (.f64 -1/4 (.f64 (sqrt.f64 x) -3/8)))) (pow.f64 x 5)) (fma.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (fma.f64 -1/4 (/.f64 (.f64 (sqrt.f64 x) -3/8) (pow.f64 x 4)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 3/32)))))))
(-.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 3/16 (/.f64 (sqrt.f64 x) (/.f64 (pow.f64 x 5) -3/8)) (fma.f64 -1/4 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 x)) (fma.f64 3/32 (sqrt.f64 x) (.f64 (sqrt.f64 x) 3/32))) (pow.f64 x 5)) (fma.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9))) (+.f64 (/.f64 (.f64 (sqrt.f64 x) 3/32) (pow.f64 x 4)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) 3/32)))))))
(/.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 1/2 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (.f64 x x)))
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(.f64 (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (.f64 x (-.f64 1 (.f64 x x)))) (-.f64 1 x))
(.f64 (-.f64 1 x) (/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (.f64 x (-.f64 1 (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (.f64 x (-.f64 1 (.f64 x x))))
(.f64 (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (.f64 x (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (-.f64 (.f64 x x) x)))
(.f64 (+.f64 1 (-.f64 (.f64 x x) x)) (/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (*.f64 x (+.f64 1 (pow.f64 x 3)))))
(.f64 (+.f64 1 (-.f64 (.f64 x x) x)) (/.f64 1 (.f64 (+.f64 (pow.f64 x 4) (.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) (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 (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 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)))))
(/.f64 (/.f64 (*.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)))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) (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 x) (/.f64 1 (-.f64 -1 x))) (.f64 (sqrt.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)))) (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 x) (/.f64 1 (-.f64 -1 x))) (.f64 (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4)) (sqrt.f64 (+.f64 (pow.f64 x -3/2) (pow.f64 (+.f64 1 x) -3/2))))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (-.f64 (pow.f64 (+.f64 x (*.f64 x x)) -1/2) (/.f64 1 x)))))
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)) (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))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)) (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))))
(/.f64 (.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)))) (.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)))
(.f64 (/.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 2)) (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 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (.f64 (cbrt.f64 (+.f64 (pow.f64 x -3/2) (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 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (pow.f64 (+.f64 x (*.f64 x x)) -1/2)))))
(.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (.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 -3/2) (pow.f64 (+.f64 1 x) -3/2))))) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (-.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)
(-.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))
(pow.f64 (/.f64 1 (-.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))
(neg.f64 (/.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) (/.f64 1 (-.f64 -1 x)))) (/.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)))) (-.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 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) (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 (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))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) 3)
(/.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))))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) 3)
(/.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 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 -1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(.f64 (/.f64 -1 (-.f64 1 (.f64 x x))) (-.f64 1 x))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 x) (fma.f64 x x -1))
(.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (.f64 x x) x)))
(/.f64 (+.f64 -1 (neg.f64 (-.f64 (*.f64 x x) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (*.f64 -1 (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 x) (fma.f64 x x -1))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (.f64 -1 (+.f64 1 (-.f64 (*.f64 x x) x))))
(/.f64 (+.f64 -1 (neg.f64 (-.f64 (*.f64 x x) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 1 (neg.f64 (-.f64 1 (.f64 x x)))) (-.f64 1 x))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 x) (fma.f64 x x -1))
(.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (-.f64 (.f64 x x) x)))
(/.f64 (+.f64 -1 (neg.f64 (-.f64 (*.f64 x x) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 1 (.f64 x x)))) (neg.f64 (-.f64 1 x)))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 x) (fma.f64 x x -1))
(.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(/.f64 (+.f64 -1 (neg.f64 (-.f64 (*.f64 x x) x))) (+.f64 1 (pow.f64 x 3)))
(/.f64 (-.f64 -1 (-.f64 (*.f64 x x) x)) (+.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 -1 (-.f64 (.f64 x x) 1)) (-.f64 x 1))
(/.f64 (neg.f64 (-.f64 1 x)) (-.f64 1 (*.f64 x x)))
(/.f64 (-.f64 1 x) (fma.f64 x x -1))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (-.f64 1 x))) (sqrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (/.f64 -1 (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 x)))
(.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(.f64 (/.f64 -1 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(.f64 (/.f64 -1 (.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))) (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 (.f64 x x)))) (cbrt.f64 (-.f64 1 x)))
(/.f64 (.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (-.f64 1 x))) (cbrt.f64 (-.f64 1 (.f64 x x))))
(.f64 (/.f64 -1 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 1 x)))
(.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(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))

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 1 (sqrt.f64 x))
✓	0.3b	(pow.f64 (pow.f64 (+.f64 1 x) 1/4) -2)
✓	14.2b	(-.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)

series4.0ms (0%)

Counts

2 → 14

Calls

6 calls:

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

rewrite129.0ms (1.3%)

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	42
1	291	38
2	3641	38

Stop Event

1×	node limit

Counts

2 → 124

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)

Outputs

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simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-*r/`
1056×	`associate-*l/`
1006×	`+-commutative`
618×	`associate-+l-`
572×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	408	9598
1	1101	9322
2	4615	9322

Stop Event

1×	node limit

Counts

138 → 224

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

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)))))
(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 (/.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)) (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 (/.f64 1 (pow.f64 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))
(-.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))))
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(/.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)
(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)

eval1.0s (10.1%)

Compiler: Compiled 39296 to 28729 computations (26.9% saved)

prune413.0ms (4.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1391	21	1412
Fresh	11	1	12
Picked	1	0	1
Done	4	0	4
Total	1407	22	1429

Error

0.0b

Counts

1429 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) 2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	5.0b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	21.5b	(/.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (.f64 x (-.f64 1 (.f64 x x))))
	1.2b	(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) 3)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	0.6b	(/.f64 (/.f64 1 (/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 x 1/4)) (/.f64 1 (pow.f64 x 1/4)))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	5.2b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	28.3b	(/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
▶	34.4b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	5.0b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3/2) (pow.f64 x 3/2)) (+.f64 x (-.f64 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x))))))
▶	23.4b	(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 1)
	28.6b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	31.9b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
	5.0b	(/.f64 (+.f64 1 (-.f64 x x)) (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	31.9b	(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
	22.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.0b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	33.4b	(-.f64 (pow.f64 x -1/2) 1)
▶	0.3b	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
	41.5b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
▶	33.0b	(sqrt.f64 (/.f64 1 x))
▶	0.5b	(neg.f64 (/.f64 -1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
	62.8b	-1

Compiler

Compiled 632 to 466 computations (26.3% saved)

localize18.0ms (0.2%)

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 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
✓	0.1b	(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
✓	0.2b	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))

Compiler

Compiled 52 to 25 computations (51.9% saved)

series26.0ms (0.3%)

Counts

4 → 4

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
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	@	0	(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
4.0ms	x	@	0	(/.f64 -1 (hypot.f64 x (sqrt.f64 x)))
3.0ms	x	@	-inf	(/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))

rewrite141.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-/r*`
908×	`associate-/l*`
768×	`distribute-rgt-in`
730×	`distribute-lft-in`
506×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	108
1	277	108
2	3609	108

Stop Event

1×	node limit

Counts

4 → 278

Calls

Call 1

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

simplify158.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

976×	`associate-r`
908×	`associate-/l*`
884×	`associate-/r*`
766×	`associate-/l/`
730×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	676	15660
1	1890	13934

Stop Event

1×	node limit

Counts

282 → 456

Calls

Call 1

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

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

localize5.0ms (0.1%)

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))

rewrite50.0ms (0.5%)

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)))))))

simplify43.0ms (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)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))
	13.7b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 35 to 11 computations (68.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(+.f64 x (*.f64 x x))
0.0ms	x	@	0	(+.f64 x (*.f64 x x))
0.0ms	x	@	inf	(+.f64 x (*.f64 x x))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`add-sqr-sqrt`
1200×	`*-un-lft-identity`
1130×	`add-cube-cbrt`
1120×	`add-cbrt-cube`
1114×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	112	9
2	1613	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 x (*.f64 x x))

Outputs

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1092×	`associate-r`
1064×	`associate-+r+`
954×	`associate-l`
822×	`associate-+l+`
618×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	910
1	215	880
2	745	880
3	4068	844

Stop Event

1×	node limit

Counts

50 → 49

Calls

Call 1

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

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

localize52.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
✓	0.3b	(/.f64 1 (*.f64 x x))
✓	8.7b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

Compiler

Compiled 47 to 31 computations (34% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-/r*`
1052×	`associate-/l*`
758×	`distribute-lft-in`
708×	`associate-/r/`
608×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	277	44
2	3902	44

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (*.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) 1 (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (*.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 x -2) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (*.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (pow.f64 (+.f64 1 x) -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1)) (pow.f64 (+.f64 1 x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) 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simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1084×	`associate-/l/`
652×	`associate-/r/`
526×	`+-commutative`
512×	`associate-l`
484×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	5638
1	959	5210
2	4263	5190

Stop Event

1×	node limit

Counts

110 → 161

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 x (sqrt.f64 x))
	0.0b	(+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))
✓	0.1b	(*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))
✓	0.4b	(/.f64 -1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))

Compiler

Compiled 62 to 27 computations (56.5% saved)

series38.0ms (0.4%)

Counts

3 → 2

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(hypot.f64 x (sqrt.f64 x))
3.0ms	x	@	-inf	(/.f64 -1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
2.0ms	x	@	inf	(/.f64 -1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
2.0ms	x	@	0	(/.f64 -1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
1.0ms	x	@	-inf	(*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-*r/`
1274×	`associate-*l/`
790×	`associate-/r*`
704×	`distribute-lft-in`
358×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	91
1	254	91
2	3274	91

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

Inputs

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

(*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))

(hypot.f64 x (sqrt.f64 x))

Outputs

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

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

778×	`associate-/l*`
764×	`associate-r`
714×	`associate-/r*`
658×	`associate-l`
500×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	9572
1	1040	8526
2	6346	8490

Stop Event

1×	node limit

Counts

164 → 250

Calls

Call 1

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

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

eval536.0ms (5.3%)

Compiler: Compiled 32253 to 19326 computations (40.1% saved)

prune678.0ms (6.8%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1265	14	1279
Fresh	6	11	17
Picked	1	0	1
Done	3	1	4
Total	1275	26	1301

Error

Counts

1301 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	29.6b	(pow.f64 (/.f64 (/.f64 1 x) (hypot.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/4))) 2)
	33.0b	(pow.f64 x -1/2)
	51.4b	(/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 x -1/2)))
	5.0b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶	5.2b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	28.3b	(/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	59.3b	(/.f64 (/.f64 1 (+.f64 x 1/2)) 1)
▶	0.4b	(/.f64 (/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
✓	34.4b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	34.4b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2)))
	28.6b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	31.9b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
▶	59.3b	(/.f64 (/.f64 1 x) 1)
	61.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) 1)
	31.9b	(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
	51.4b	(/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (.f64 x x)))
	33.1b	(/.f64 1 (sqrt.f64 x))
▶	22.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.0b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	33.4b	(-.f64 (pow.f64 x -1/2) 1)
▶	23.8b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	34.4b	(.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (.f64 x (neg.f64 x))) -1)
	29.5b	(*.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) x) (/.f64 1 x))
	41.5b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
	28.8b	(neg.f64 (/.f64 -1 (*.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
	62.8b	-1

Compiler

Compiled 598 to 464 computations (22.4% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
✓	0.1b	(*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
✓	0.1b	(/.f64 (/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
✓	0.7b	(/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))

Compiler

Compiled 83 to 46 computations (44.6% saved)

series38.0ms (0.4%)

Counts

4 → 1

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	x	@	0	(/.f64 (/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
4.0ms	x	@	-inf	(/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
3.0ms	x	@	0	(/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
3.0ms	x	@	-inf	(/.f64 (/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
2.0ms	x	@	inf	(/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (sqrt.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))

rewrite133.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`associate-/l*`
792×	`distribute-rgt-in`
730×	`distribute-lft-in`
662×	`associate-/r/`
502×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	190
1	303	150
2	4141	150

Stop Event

1×	node limit

Counts

4 → 173

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))) -1/2) (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (/.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) -1) (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 1 x) 3/2)))) (sqrt.f64 (+.f64 (+.f64 x x) (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (+.f64 x (-.f64 -1 x)))) (sqrt.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (fma.f64 x x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 x (sqrt.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 x (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2) (hypot.f64 x (sqrt.f64 x))) (pow.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 x (sqrt.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (/.f64 1 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))) (hypot.f64 x (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1642×	`associate-/r/`
1142×	`distribute-rgt-in`
1140×	`distribute-lft-in`
442×	`associate-/l*`
374×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	11000
1	913	10606
2	3788	10544

Stop Event

1×	node limit

Counts

174 → 313

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
✓	6.0b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.6%)

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)))))

simplify70.0ms (0.7%)

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)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
✓	3.2b	(-.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

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.7%)

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	25
1	204	25
2	2676	25

Stop Event

1×	node limit

Counts

1 → 106

Calls

Call 1

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

Outputs

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simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1734×	`associate-/r*`
1404×	`associate-*r/`
1028×	`associate-*l/`
922×	`associate-+l+`
862×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	8552
1	973	8064
2	3914	7904

Stop Event

1×	node limit

Counts

118 → 201

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 (+.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)))

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

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
	0.0b	(+.f64 x (*.f64 x x))
✓	0.2b	(/.f64 1 (+.f64 x (*.f64 x x)))
✓	4.9b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

Compiler

Compiled 56 to 32 computations (42.9% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite131.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1836×	`associate-/r*`
1194×	`associate-/l*`
968×	`associate-/r/`
318×	`add-sqr-sqrt`
304×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	305	60
2	4425	60

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1038×	`+-commutative`
802×	`associate-r`
760×	`*-commutative`
714×	`associate-+r+`
642×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	491	10368
1	1552	9632
2	7161	9632

Stop Event

1×	node limit

Counts

138 → 254

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

Outputs
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) x)
(/.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 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) x) (neg.f64 (fma.f64 (/.f64 (/.f64 1 (+.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 (/.f64 1 (+.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 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) x) (neg.f64 (fma.f64 (/.f64 (/.f64 1 (+.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 (fma.f64 x (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.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 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 (.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 (/.f64 1 (+.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 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) x) (.f64 -1 (+.f64 (.f64 (fma.f64 1/8 (/.f64 (fma.f64 (/.f64 (/.f64 1 (+.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 (/.f64 1 (+.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 (/.f64 1 (+.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 x (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.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)))))) (fma.f64 -1 (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (+.f64 (pow.f64 x -1/2) 1/2) (+.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 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (fma.f64 1/8 (/.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 (/.f64 1/16 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))))) (.f64 x x) (*.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 1 x) (+.f64 1 (pow.f64 x -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 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (.f64 x x) 3/2))))
(+.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))))))
(-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (.f64 x x) 3/2)))) (/.f64 (fma.f64 -1/8 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/8) (*.f64 x 1/4))) (pow.f64 x 4)))
(+.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)))))))
(fma.f64 -1 (/.f64 (fma.f64 -1/2 (.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))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (sqrt.f64 x))) (fma.f64 -1/8 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/8) (sqrt.f64 (pow.f64 x 3)))) (.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 x)) 1/16)) x))) (pow.f64 x 5)) (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)))))))
(-.f64 (-.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (.f64 -1/4 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (.f64 x x) 3/2)))) (/.f64 (fma.f64 -1/8 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/8) (.f64 x 1/4))) (pow.f64 x 4))) (/.f64 (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 (fma.f64 -1/8 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) 2) (sqrt.f64 (pow.f64 x 3))) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -1/8) (.f64 x 1/4))) (sqrt.f64 x))) (fma.f64 -1/8 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 3/2) (.f64 (sqrt.f64 (/.f64 1 x)) (.f64 -1/8 (sqrt.f64 (pow.f64 x 3))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 1/16) (.f64 x 1/4)))) (pow.f64 x 5)))
(/.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 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))))
(/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.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 -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)))))
(fma.f64 1/4 (/.f64 (.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) -3/2) (.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) 2))) (/.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))))))
(fma.f64 1/4 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) (/.f64 -3/2 (pow.f64 x 3))) (/.f64 1/2 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))
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(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1))
(pow.f64 (hypot.f64 x (sqrt.f64 x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x x)) -1))
(/.f64 1 (fma.f64 x x x))
(.f64 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (-.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6)))) (-.f64 (pow.f64 x 3) (pow.f64 x 6)))
(*.f64 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (-.f64 (pow.f64 x 6) (pow.f64 x 12))) (-.f64 (pow.f64 x 3) (pow.f64 x 6)))
(*.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)) (-.f64 (pow.f64 x 6) (pow.f64 x 12))) (-.f64 (pow.f64 x 3) (pow.f64 x 6)))
(.f64 (/.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 x 6) 3))) (-.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 x 6) (pow.f64 x 6))) (*.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 x 12) (pow.f64 (pow.f64 x 3) 3)))) (+.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 x 3) 3)))
(.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 x 6) 3) (.f64 x (pow.f64 x 8)))) (+.f64 (pow.f64 x 12) (-.f64 (pow.f64 x 6) (*.f64 x (pow.f64 x 8)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (.f64 x x) (pow.f64 x 4)))) (neg.f64 (*.f64 x (-.f64 1 x))))
(.f64 (.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (.f64 x (-.f64 1 x)) (-.f64 (.f64 x x) (pow.f64 x 4)))
(*.f64 (/.f64 1 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 x x) (pow.f64 x 4)))) (*.f64 x (-.f64 1 x)))
(.f64 (.f64 x (-.f64 1 x)) (/.f64 1 (-.f64 (*.f64 x x) (pow.f64 x 4))))
(/.f64 (.f64 x (-.f64 1 x)) (-.f64 (.f64 x x) (pow.f64 x 4)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)))) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))
(*.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 x 6))))
(/.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3)) (+.f64 (pow.f64 x 3) (pow.f64 x 6)))
(.f64 (/.f64 1 (.f64 (-.f64 1 (*.f64 x x)) x)) (-.f64 1 x))
(/.f64 (.f64 1 (-.f64 1 x)) (.f64 x (-.f64 1 (*.f64 x x))))
(/.f64 (/.f64 (-.f64 1 x) 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 1 (*.f64 x (+.f64 1 (pow.f64 x 3)))))
(/.f64 (/.f64 (fma.f64 x (+.f64 x -1) 1) x) (+.f64 1 (pow.f64 x 3)))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x))) (*.f64 x (-.f64 x 1)))
(.f64 (.f64 x (+.f64 x -1)) (/.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))
(/.f64 (.f64 x (+.f64 x -1)) (-.f64 (pow.f64 x 4) (.f64 x x)))
(.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (-.f64 (.f64 x x) (pow.f64 x 4)))) (sqrt.f64 (*.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (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 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) (sqrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (hypot.f64 (pow.f64 x 3) (pow.f64 x 3/2))) (sqrt.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (-.f64 1 x))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 x 4))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))) (cbrt.f64 (.f64 x (-.f64 1 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (cbrt.f64 (-.f64 (.f64 x x) (pow.f64 x 4)))) (cbrt.f64 (*.f64 x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2))) (cbrt.f64 (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)))) (cbrt.f64 (-.f64 (fma.f64 x x (pow.f64 x 4)) (pow.f64 x 3))))
(.f64 (/.f64 (.f64 x (-.f64 1 x)) (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) (pow.f64 x 4)))) (+.f64 (.f64 x x) (pow.f64 x 4)))
(.f64 (/.f64 (.f64 x (-.f64 1 x)) (-.f64 (pow.f64 x 4) (pow.f64 x 8))) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (/.f64 (-.f64 1 x) (/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 8)) x)) (fma.f64 x x (pow.f64 x 4)))
(.f64 (/.f64 (.f64 x (-.f64 1 x)) (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 4) 3))) (+.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 4) (pow.f64 x 4))) (pow.f64 x 6)))
(/.f64 (.f64 (.f64 x (-.f64 1 x)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 8) (pow.f64 x 6)))) (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 x 4) 3)))
(.f64 (.f64 (/.f64 x (-.f64 (pow.f64 x 6) (pow.f64 x 12))) (-.f64 1 x)) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 6) (pow.f64 x 8))))
(pow.f64 (fma.f64 x x x) -1)
(/.f64 1 (fma.f64 x x x))
(pow.f64 (/.f64 1 (fma.f64 x x x)) 1)
(/.f64 1 (fma.f64 x x x))
(pow.f64 (pow.f64 (fma.f64 x x x) -1/2) 2)
(/.f64 1 (fma.f64 x x x))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x x))) 3)
(/.f64 1 (fma.f64 x x x))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3) 1/3)
(/.f64 1 (fma.f64 x x x))
(sqrt.f64 (pow.f64 (fma.f64 x x x) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x x))))
(/.f64 1 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x x)))))
(/.f64 1 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x x)) 3))
(/.f64 1 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x x))))
(/.f64 1 (fma.f64 x x x))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x x))))
(/.f64 1 (fma.f64 x x x))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) -1))
(/.f64 1 (fma.f64 x x x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x x))) 1))
(/.f64 1 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x x))))
(/.f64 1 (fma.f64 x x x))

eval531.0ms (5.3%)

Compiler: Compiled 29918 to 21041 computations (29.7% saved)

prune208.0ms (2.1%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	977	5	982
Fresh	3	17	20
Picked	1	0	1
Done	1	4	5
Total	982	26	1008

Error

Counts

1008 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	37.9b	(pow.f64 (*.f64 x x) -1/4)
	33.0b	(pow.f64 x -1/2)
	51.4b	(/.f64 (pow.f64 x -2) (+.f64 1 (pow.f64 x -1/2)))
	28.3b	(/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	59.3b	(/.f64 (/.f64 1 (+.f64 x 1/2)) 1)
	31.9b	(/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) x)
	5.2b	(/.f64 (/.f64 1 (*.f64 (+.f64 x 1) x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	34.4b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	34.4b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2)))
	28.6b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
	31.9b	(/.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))))
✓	59.3b	(/.f64 (/.f64 1 x) 1)
	61.1b	(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) 1)
	9.1b	(/.f64 (-.f64 1 x) (.f64 x (.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
	31.9b	(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
	51.4b	(/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (.f64 x x)))
	33.1b	(/.f64 1 (sqrt.f64 x))
✓	22.3b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.0b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	33.4b	(-.f64 (pow.f64 x -1/2) 1)
✓	23.8b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	29.5b	(*.f64 (/.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) x) (/.f64 1 x))
	41.5b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
	28.8b	(neg.f64 (/.f64 -1 (*.f64 x (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))
	62.8b	-1

Compiler

Compiled 286 to 223 computations (22% saved)

regimes56.0ms (0.6%)

Counts

58 → 1

Calls

Call 1

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

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

Calls

2 calls:

29.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 780 to 539 computations (30.9% saved)

regimes49.0ms (0.5%)

Counts

52 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	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 654 to 466 computations (28.7% saved)

regimes47.0ms (0.5%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	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 231 computations (26.2% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	14.617161146903701	181526.10902511005

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 224 to 181 computations (19.2% saved)

regimes45.0ms (0.4%)

Counts

29 → 2

Calls

Call 1

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

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

28.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.5b	2	`x`
0.5b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 252 to 189 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.340440375761675e-14	6.464866511481787e-9

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes49.0ms (0.5%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	x
8.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
12.0b	2	`x`
12.0b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 228 to 171 computations (25% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	181526.10902511005	359334235.62347776

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 184 to 157 computations (14.7% saved)

regimes21.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
12.4b	2	`x`

Compiler

Compiled 136 to 100 computations (26.5% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	1.0106943477002415e-9	11.270052926575765

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 226 to 193 computations (14.6% saved)

regimes13.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
23.4b	1	`x`

Compiler

Compiled 128 to 93 computations (27.3% saved)

regimes12.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
23.8b	1	`x`

Compiler

Compiled 107 to 80 computations (25.2% saved)

regimes13.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
23.0b	2	`x`

Compiler

Compiled 54 to 39 computations (27.8% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.0106943477002415e-9	11.270052926575765

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 156 to 123 computations (21.2% saved)

regimes11.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
31.6b	2	`x`

Compiler

Compiled 43 to 33 computations (23.3% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1.0106943477002415e-9	11.270052926575765

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 216 to 173 computations (19.9% saved)

regimes6.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(pow.f64 x -1/2)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
33.0b	1	`x`

Compiler

Compiled 38 to 29 computations (23.7% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
59.3b	1	`x`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes4.0ms (0%)

Accuracy

Total -3.5b remaining (-5.9%)

Threshold costs -3.5b (-5.9%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
59.3b	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative`
22×	`sub-neg`
20×	`*-commutative`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	536
1	103	536
2	123	536
3	140	536
4	148	536
5	151	536
6	152	536

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(/.f64 (/.f64 1 x) (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(if (<=.f64 x 170000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3961408125713217/39614081257132168796771975168) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(if (<=.f64 x 135000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 1)
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(if (<=.f64 x 1823957849085051/2251799813685248) (-.f64 (pow.f64 x -1/2) 1) (pow.f64 (*.f64 x x) -1/4))
(if (<=.f64 x 5404319552844595/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) 1))
(pow.f64 x -1/2)
(/.f64 (/.f64 1 (+.f64 x 1/2)) 1)
(/.f64 (/.f64 1 x) 1)
-1

Outputs
(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 (/.f64 -1 (hypot.f64 x (sqrt.f64 x))) (/.f64 -1 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))))
(/.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 (+.f64 x 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(if (<=.f64 x 170000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
(if (<=.f64 x 170000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (/.f64 1 (+.f64 x 1/2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3961408125713217/39614081257132168796771975168) (/.f64 (/.f64 1 x) (+.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)))) 3961408125713217/39614081257132168796771975168) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(if (<=.f64 x 135000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(if (<=.f64 x 135000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 x -1/2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(if (<=.f64 x 1) (+.f64 (pow.f64 x -1/2) (-.f64 -1 (.f64 x -1/2))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))
(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x)))) 1)
(/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
(+.f64 (+.f64 1 (pow.f64 x -1/2)) -1)
(+.f64 -1 (+.f64 1 (pow.f64 x -1/2)))
(if (<=.f64 x 1823957849085051/2251799813685248) (-.f64 (pow.f64 x -1/2) 1) (pow.f64 (*.f64 x x) -1/4))
(if (<=.f64 x 1823957849085051/2251799813685248) (+.f64 (pow.f64 x -1/2) -1) (pow.f64 (*.f64 x x) -1/4))
(if (<=.f64 x 1823957849085051/2251799813685248) (+.f64 -1 (pow.f64 x -1/2)) (pow.f64 (*.f64 x x) -1/4))
(if (<=.f64 x 5404319552844595/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) 1))
(if (<=.f64 x 5404319552844595/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))))
(if (<=.f64 x 5404319552844595/9007199254740992) (+.f64 -1 (pow.f64 x -1/2)) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))))
(pow.f64 x -1/2)
(/.f64 (/.f64 1 (+.f64 x 1/2)) 1)
(/.f64 1 (+.f64 x 1/2))
(/.f64 (/.f64 1 x) 1)
(/.f64 1 x)
-1

Compiler

Compiled 208 to 160 computations (23.1% saved)

soundness224.0ms (2.2%)

Algorithm

3×	egg-herbie

Rules

1374×	`associate-+l-`
1374×	`associate-+l-`
1302×	`associate-+r-`
1302×	`associate-+r-`
1238×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	11675
1	1313	10687
2	5604	10687
0	479	11675
1	1313	10687
2	5604	10687
0	560	9253
1	1432	8929
2	6308	8927

Stop Event

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

Compiler

Compiled 158 to 89 computations (43.7% saved)

end114.0ms (1.1%)

Compiler: Compiled 195 to 143 computations (26.7% 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