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)

sample1.4s (12.5%)

Results

661.0ms	2334×	body	1024	valid
511.0ms	4901×	body	256	valid
234.0ms	1021×	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

20.2b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.3b	(/.f64 1 (sqrt.f64 x))
✓	3.0b	(-.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

4 → 8

Calls

12 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	(sqrt.f64 (+.f64 x 1))

rewrite106.0ms (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	72
1	243	56
2	3324	56

Stop Event

1×	node limit

Counts

4 → 271

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

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

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1408×	`associate-+r-`
706×	`associate-/l*`
646×	`times-frac`
646×	`associate-/r*`
546×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	14195
1	1614	13085
2	7597	13085

Stop Event

1×	node limit

Counts

279 → 416

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

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

eval195.0ms (1.7%)

Compiler: Compiled 10098 to 7395 computations (26.8% saved)

prune85.0ms (0.7%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	395	21	416
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	396	21	417

Error

7.2b

Counts

417 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	46.5b	(/.f64 (-.f64 (/.f64 1 (.f64 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)))))
	20.2b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x (*.f64 x x))))
	46.5b	(/.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)))))
	20.1b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	37.3b	(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))
▶	7.4b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	7.4b	(/.f64 1 (*.f64 (sqrt.f64 (fma.f64 x x x)) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	7.4b	(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	24.7b	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	19.9b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶	23.4b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	23.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	24.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	30.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (exp.f64 (*.f64 (log1p.f64 x) 1/2))))
▶	30.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
	31.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	24.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	30.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) -1/2)))
▶	32.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	24.1b	(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 708 to 558 computations (21.2% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
✓	0.1b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))
✓	16.8b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 85 to 35 computations (58.8% saved)

series12.0ms (0.1%)

Counts

4 → 17

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
2.0ms	x	@	inf	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
2.0ms	x	@	0	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
1.0ms	x	@	inf	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x (*.f64 x x)))

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-/r*`
1096×	`associate-/l*`
340×	`add-sqr-sqrt`
332×	`pow1`
332×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	396	88
2	4804	88

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

486×	`+-commutative`
408×	`associate-r`
400×	`associate-+r+`
374×	`log-prod`
358×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	456	6990
1	1033	6814
2	4035	6782

Stop Event

1×	node limit

Counts

208 → 305

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.0b	(pow.f64 x -1/2)
	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	8.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

series46.0ms (0.4%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(pow.f64 x -1/2)
17.0ms	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	@	inf	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite79.0ms (0.7%)

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

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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)))))))

simplify100.0ms (0.9%)

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

localize80.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (*.f64 (+.f64 1 x) (+.f64 1 x)))
✓	0.7b	(/.f64 1 (*.f64 x x))
✓	2.9b	(-.f64 (/.f64 1 (.f64 x x)) (/.f64 1 (.f64 (+.f64 1 x) (+.f64 1 x))))
✓	25.7b	(/.f64 (-.f64 (/.f64 1 (.f64 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)))))

Compiler

Compiled 134 to 97 computations (27.6% saved)

series13.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(/.f64 (-.f64 (/.f64 1 (.f64 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)))))
4.0ms	x	@	-inf	(/.f64 (-.f64 (/.f64 1 (.f64 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)))))
2.0ms	x	@	inf	(/.f64 (-.f64 (/.f64 1 (.f64 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)))))
0.0ms	x	@	0	(/.f64 1 (*.f64 x x))
0.0ms	x	@	0	(/.f64 1 (*.f64 (+.f64 1 x) (+.f64 1 x)))

rewrite150.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`add-sqr-sqrt`
482×	`*-un-lft-identity`
478×	`pow1`
462×	`add-exp-log`
462×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	166
1	470	70
2	7848	70

Stop Event

1×	node limit

Counts

4 → 190

Calls

Call 1

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

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

simplify152.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

832×	`associate-r`
762×	`associate-l`
756×	`*-commutative`
680×	`associate-/l*`
674×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	15060
1	2095	13066

Stop Event

1×	node limit

Counts

238 → 325

Calls

Call 1

Inputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (/.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 1 (pow.f64 x -1/2))) (.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 1 (pow.f64 x -1/2)))))) x) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (.f64 25/16 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (/.f64 (.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 1 (pow.f64 x -1/2)))) (+.f64 (.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 (pow.f64 x -1/2) 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 1 (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 (/.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 (.f64 -1 (+.f64 1 (pow.f64 x -1/2))) 1/8)) (+.f64 1 (pow.f64 x -1/2)))))))) (pow.f64 x 2)) (+.f64 (.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 (pow.f64 x -1/2) 1))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.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 1 (pow.f64 x -1/2)))))) x) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))))
(-.f64 (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (.f64 -3/4 (sqrt.f64 x)) (.f64 1/8 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) x)))) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 3/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 2 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 3))) (.f64 1/8 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -5/4 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (.f64 -3/4 (sqrt.f64 x)) (.f64 1/8 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) x)))) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (+.f64 (.f64 1/4 (.f64 (.f64 (-.f64 (.f64 -3/4 (sqrt.f64 x)) (.f64 1/8 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) x))) (+.f64 (.f64 3/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 2 (sqrt.f64 (/.f64 1 x)))))) (sqrt.f64 (/.f64 1 (pow.f64 x 9))))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 3/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 2 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 -5/8 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -3/8 (sqrt.f64 (/.f64 1 x)))))) (pow.f64 x 4))) (+.f64 (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (sqrt.f64 x) (+.f64 (.f64 1/8 (.f64 (+.f64 (.f64 3/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 2 (sqrt.f64 (/.f64 1 x))))) x)) (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (.f64 -3/4 (sqrt.f64 x)) (.f64 1/8 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) x)))) (sqrt.f64 x)))))) (sqrt.f64 (/.f64 1 (pow.f64 x 9))))) (.f64 1/8 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2)))))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
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(exp.f64 (log.f64 (pow.f64 x -2)))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -2))) 1)
(*.f64 1 (pow.f64 (+.f64 1 x) -2))
(*.f64 (pow.f64 (+.f64 1 x) -2) 1)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -3/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 2))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 2) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) -2)))
(.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 1 (.f64 x x))) (-.f64 1 x))
(.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (.f64 x x) x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1))
(pow.f64 (+.f64 1 x) -2)
(pow.f64 (pow.f64 (+.f64 1 x) 2) -1)
(pow.f64 (pow.f64 (+.f64 1 x) -2) 1)
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 3)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) -3) 1/3)
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) -2) 2))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -2))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -2)))
(exp.f64 (neg.f64 (*.f64 2 (log1p.f64 x))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 x)) -1))
(exp.f64 (.f64 (neg.f64 (.f64 2 (log1p.f64 x))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -2)))

Outputs
(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
(/.f64 1 (*.f64 x (+.f64 1 (pow.f64 x -1/2))))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))
(+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))))
(-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (/.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 1 (pow.f64 x -1/2))) (.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 1 (pow.f64 x -1/2)))))) x) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x)))))))
(fma.f64 (-.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 -1 (/.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) x (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))))))
(fma.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -1/2) 1/2))))) x (-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x))))))
(+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (.f64 25/16 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (/.f64 (.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 1 (pow.f64 x -1/2)))) (+.f64 (.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 (pow.f64 x -1/2) 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (pow.f64 x -1/2) 1/2)) (+.f64 1 (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 (/.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 (.f64 -1 (+.f64 1 (pow.f64 x -1/2))) 1/8)) (+.f64 1 (pow.f64 x -1/2)))))))) (pow.f64 x 2)) (+.f64 (.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 (pow.f64 x -1/2) 1))) (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.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 1 (pow.f64 x -1/2)))))) x) (+.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) x)) (.f64 -1 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))) (sqrt.f64 (/.f64 1 x))))))))
(fma.f64 (-.f64 (/.f64 2 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (/.f64 25/16 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 -1 (/.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (neg.f64 (/.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (fma.f64 -1 (+.f64 1 (pow.f64 x -1/2)) -1/8)))))))) (.f64 x x) (fma.f64 (-.f64 (+.f64 (/.f64 1/8 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (fma.f64 -1 (/.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))) x (+.f64 (/.f64 1 (.f64 x (+.f64 1 (pow.f64 x -1/2)))) (neg.f64 (fma.f64 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))) (sqrt.f64 (/.f64 1 x)) (/.f64 1/2 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2)))))))))
(fma.f64 (-.f64 (/.f64 2 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (/.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -1/2) 1/2))))) (/.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1/2))) (+.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2))) (fma.f64 -1 (+.f64 1 (pow.f64 x -1/2)) -1/8))) (/.f64 25/16 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 1 (pow.f64 x -1/2))))))) (.f64 x x) (fma.f64 (+.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 (/.f64 1/8 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (.f64 (/.f64 (.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 (pow.f64 x -1/2) 1/2))))) x (-.f64 (/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 1 (pow.f64 x -1/2))) (+.f64 1/2 (sqrt.f64 (/.f64 1 x)))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))))
(-.f64 (fma.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 1/8 (/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -3) (.f64 x x))))
(+.f64 (fma.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (*.f64 x x) -3)) -1/8))
(-.f64 (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 1/4 (.f64 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) (-.f64 (.f64 -3/4 (sqrt.f64 x)) (.f64 1/8 (.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (.f64 -1 (sqrt.f64 (/.f64 1 x)))) x)))) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (+.f64 (.f64 1/8 (/.f64 (+.f64 (.f64 3/4 (sqrt.f64 (/.f64 1 x))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (.f64 2 (sqrt.f64 (/.f64 1 x))))) (pow.f64 x 3))) (.f64 1/8 (/.f64 (+.f64 (.f64 -2 (sqrt.f64 (/.f64 1 x))) (*.f64 -1 (sqrt.f64 (/.f64 1 x)))) (pow.f64 x 2))))))
(-.f64 (+.f64 (fma.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (fma.f64 1/4 (.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -3) (.f64 (-.f64 (.f64 -3/4 (sqrt.f64 x)) (.f64 1/8 (.f64 x (.f64 (sqrt.f64 (/.f64 1 x)) -3)))) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))) (.f64 1/8 (+.f64 (/.f64 (fma.f64 3/4 (sqrt.f64 (/.f64 1 x)) (.f64 (sqrt.f64 (/.f64 1 x)) 5/2)) (pow.f64 x 3)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) -3) (.f64 x x))))))
(-.f64 (+.f64 (fma.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (fma.f64 1/4 (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 x 7))) (.f64 (sqrt.f64 (/.f64 1 x)) -3)) (fma.f64 -3/4 (sqrt.f64 x) (.f64 (.f64 -1/8 x) (.f64 (sqrt.f64 (/.f64 1 x)) -3)))) (.f64 1/8 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (.f64 x x) -3)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 x)) 13/4) (pow.f64 x 3))))))
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(exp.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))))
(-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))) 1))
(-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))))
(-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))
(fma.f64 1 (pow.f64 x -2) (neg.f64 (pow.f64 (+.f64 1 x) -2)))
(-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))
(fma.f64 (/.f64 1 x) (/.f64 1 x) (neg.f64 (pow.f64 (+.f64 1 x) -2)))
(+.f64 (pow.f64 (/.f64 1 x) 2) (neg.f64 (pow.f64 (+.f64 1 x) -2)))
(-.f64 (/.f64 1 (*.f64 x x)) (pow.f64 (+.f64 1 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)) (neg.f64 (pow.f64 (+.f64 1 x) -2)))
(-.f64 (pow.f64 x -2) (pow.f64 (+.f64 1 x) -2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x -2))) 1)
(pow.f64 x -2)
(*.f64 1 (pow.f64 x -2))
(pow.f64 x -2)
(*.f64 (pow.f64 x -2) 1)
(pow.f64 x -2)
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))
(*.f64 (pow.f64 x -1/2) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1/2) x) (sqrt.f64 x))
(*.f64 (/.f64 1 x) (/.f64 1 x))
(/.f64 1 (*.f64 x x))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2))
(pow.f64 x -2)
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (cbrt.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(*.f64 (pow.f64 x -3/2) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (pow.f64 x -3/2))
(.f64 -1 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 1 (*.f64 x x))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) x))
(*.f64 (pow.f64 x -1/2) (/.f64 (pow.f64 x -1/2) x))
(/.f64 (pow.f64 x -1) x)
(*.f64 (/.f64 (pow.f64 x -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x -1/2) (cbrt.f64 x)))
(/.f64 (/.f64 (pow.f64 x -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) x))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 x (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (*.f64 (sqrt.f64 x) (cbrt.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 x -2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 2) (pow.f64 (cbrt.f64 x) 2))
(*.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)
(pow.f64 (*.f64 x x) -1)
(/.f64 1 (*.f64 x x))
(pow.f64 (pow.f64 x -2) 1)
(pow.f64 x -2)
(pow.f64 (/.f64 1 x) 2)
(/.f64 1 (*.f64 x x))
(pow.f64 (cbrt.f64 (pow.f64 x -2)) 3)
(pow.f64 x -2)
(pow.f64 (pow.f64 (pow.f64 x -2) 3) 1/3)
(pow.f64 x -2)
(sqrt.f64 (/.f64 (pow.f64 x -3) x))
(log.f64 (exp.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -2))))
(pow.f64 x -2)
(cbrt.f64 (pow.f64 (pow.f64 x -2) 3))
(pow.f64 x -2)
(expm1.f64 (log1p.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(exp.f64 (log.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(exp.f64 (.f64 (.f64 2 (log.f64 x)) -1))
(pow.f64 x -2)
(exp.f64 (*.f64 (log.f64 (pow.f64 x -2)) 1))
(pow.f64 x -2)
(log1p.f64 (expm1.f64 (pow.f64 x -2)))
(pow.f64 x -2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -2))) 1)
(pow.f64 (+.f64 1 x) -2)
(*.f64 1 (pow.f64 (+.f64 1 x) -2))
(pow.f64 (+.f64 1 x) -2)
(*.f64 (pow.f64 (+.f64 1 x) -2) 1)
(pow.f64 (+.f64 1 x) -2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -3/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (sqrt.f64 (+.f64 1 x))))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (exp.f64 (neg.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 2)
(exp.f64 (*.f64 -2 (log1p.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 2))
(pow.f64 (+.f64 1 x) -2)
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (+.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (+.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 2) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(pow.f64 (+.f64 1 x) -2)
(*.f64 (pow.f64 (+.f64 1 x) -3/2) (pow.f64 (+.f64 1 x) -1/2))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -3/2))
(*.f64 -1 (neg.f64 (pow.f64 (+.f64 1 x) -2)))
(pow.f64 (+.f64 1 x) -2)
(.f64 (.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (cbrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 1 (.f64 x x))) (-.f64 1 x))
(.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (.f64 x x) x)))
(.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 1 (pow.f64 x 3))) (+.f64 (.f64 x x) (-.f64 1 x)))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) 1) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 1 x)))
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 1 x)))
(/.f64 (pow.f64 (+.f64 1 x) -1) (+.f64 1 x))
(*.f64 (/.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (/.f64 (pow.f64 (+.f64 1 x) -1/2) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (pow.f64 (+.f64 1 x) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (+.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (.f64 (+.f64 1 x) (cbrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (sqrt.f64 (+.f64 1 x))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (sqrt.f64 (+.f64 1 x))) (/.f64 1 (.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 2) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 4)) -1) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 4))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))
(/.f64 (*.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 4)))) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))
(pow.f64 (+.f64 1 x) -2)
(pow.f64 (pow.f64 (+.f64 1 x) 2) -1)
(/.f64 1 (pow.f64 (+.f64 1 x) 2))
(pow.f64 (pow.f64 (+.f64 1 x) -2) 1)
(pow.f64 (+.f64 1 x) -2)
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 2)
(exp.f64 (*.f64 -2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) 3)
(pow.f64 (+.f64 1 x) -2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) -3) 1/3)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) -3))
(sqrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) -2) 2))
(sqrt.f64 (pow.f64 (+.f64 1 x) -4))
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) -2)))
(pow.f64 (+.f64 1 x) -2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) -2))))
(pow.f64 (+.f64 1 x) -2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) 2) -3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) -2)))
(pow.f64 (+.f64 1 x) -2)
(exp.f64 (neg.f64 (*.f64 2 (log1p.f64 x))))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 2)
(exp.f64 (*.f64 -2 (log1p.f64 x)))
(exp.f64 (.f64 (.f64 2 (log1p.f64 x)) -1))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 2)
(exp.f64 (*.f64 -2 (log1p.f64 x)))
(exp.f64 (.f64 (neg.f64 (.f64 2 (log1p.f64 x))) 1))
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) 2)
(exp.f64 (*.f64 -2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) -2)))
(pow.f64 (+.f64 1 x) -2)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))
	0.3b	(/.f64 1 (sqrt.f64 x))
✓	6.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
✓	10.5b	(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))

Compiler

Compiled 45 to 34 computations (24.4% saved)

series2.0ms (0%)

Counts

3 → 8

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
0.0ms	x	@	-inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))
0.0ms	x	@	inf	(/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2)))
0.0ms	x	@	inf	(cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))

rewrite139.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-*l/`
912×	`associate-/r*`
738×	`distribute-lft-in`
446×	`associate-/l*`
360×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	288	57
2	3859	57

Stop Event

1×	node limit

Counts

3 → 251

Calls

Call 1

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

Outputs

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

simplify182.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`times-frac`
940×	`associate-/l*`
836×	`associate-/r*`
604×	`associate-r`
480×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	623	14235
1	1645	13103

Stop Event

1×	node limit

Counts

259 → 381

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/16 (pow.f64 x 3)))))
(fma.f64 -1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/16 (pow.f64 x 3))))
(fma.f64 -1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 1/16 (pow.f64 x 3) 1)))
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 (pow.f64 x 3) -5/16)))
(+.f64 (fma.f64 x -1/2 1) (fma.f64 (pow.f64 x 3) -5/16 (.f64 x (.f64 x 3/8))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 x)))) 1)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 1 (neg.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(*.f64 (pow.f64 1 1/3) (hypot.f64 1 (sqrt.f64 x)))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)))
(*.f64 (/.f64 1 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2)) (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))) 1) (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) 1) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x)))
(*.f64 (/.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) -1) (cbrt.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(hypot.f64 1 (sqrt.f64 x))
(/.f64 (hypot.f64 1 (sqrt.f64 x)) 1)
(hypot.f64 1 (sqrt.f64 x))
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(/.f64 (/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (cbrt.f64 (+.f64 1 x)))
(.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 2))) (sqrt.f64 (cbrt.f64 (+.f64 1 x)))))
(/.f64 (/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 1 1/3)) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3)) (pow.f64 (pow.f64 (+.f64 1 x) 3/4) 1/3))
(/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4))))
(/.f64 (+.f64 (/.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) -1) (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4)) (cbrt.f64 (pow.f64 (+.f64 1 x) 3/4))))
(/.f64 (/.f64 (-.f64 (neg.f64 (hypot.f64 1 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) -1)) (sqrt.f64 x)) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 0 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (neg.f64 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
(/.f64 (*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) -1)) (neg.f64 (sqrt.f64 x))) (neg.f64 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (*.f64 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))) (sqrt.f64 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 1)
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) 2)
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) 3)
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 3) 1/3)
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2)) 2))
(fabs.f64 (-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x)))))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x)))) 3))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))) 1))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 1 (pow.f64 x -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x -1/2))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(fma.f64 (pow.f64 (sqrt.f64 x) -1/2) (pow.f64 (sqrt.f64 x) -1/2) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(+.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 (sqrt.f64 x) -1))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))) 1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 1 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) (/.f64 1 (cbrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(*.f64 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))) -1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 -1 (/.f64 -1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1) (pow.f64 (sqrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) -1) (pow.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 1 x)))
(/.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (-.f64 (.f64 x x) x))))
(/.f64 (sqrt.f64 (+.f64 1 (-.f64 (*.f64 x x) x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x))) (hypot.f64 1 (pow.f64 x 3/2)))
(pow.f64 (pow.f64 (+.f64 1 x) 3/2) -1/3)
(*.f64 (pow.f64 (pow.f64 (+.f64 1 x) 3/2) -1/6) (pow.f64 (pow.f64 (+.f64 1 x) 3/2) -1/6))
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1/2) 2)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x)))) 3)
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(pow.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))
(sqrt.f64 (/.f64 1 (+.f64 1 x)))
(log.f64 (exp.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(cbrt.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x))) -1))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (hypot.f64 1 (sqrt.f64 x)))) 1))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x)))))
(/.f64 1 (hypot.f64 1 (sqrt.f64 x)))

eval1.5s (13%)

Compiler: Compiled 43333 to 31429 computations (27.5% saved)

prune588.0ms (5.2%)

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	1412	25	1437
Fresh	13	3	16
Picked	1	0	1
Done	0	4	4
Total	1426	32	1458

Error

0.0b

Counts

1458 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) -1)
▶	7.3b	(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
▶	0.2b	(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))))
	47.5b	(/.f64 (/.f64 1 (.f64 x x)) (.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
	30.7b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
✓	46.5b	(/.f64 (-.f64 (/.f64 1 (.f64 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)))))
	20.1b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	0.5b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	31.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/8 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
▶	29.9b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	0.6b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 1/4)) (.f64 (pow.f64 x 1/4) (pow.f64 (+.f64 x 1) 1/4))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	7.4b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (pow.f64 (hypot.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4)) 2))
	7.4b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (/.f64 1 (+.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))
	7.7b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (/.f64 (+.f64 (pow.f64 x 3/2) (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 (+.f64 x 1) x) (hypot.f64 x (sqrt.f64 x)))))
✓	7.4b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	21.5b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)
	30.2b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	32.0b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	7.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (sqrt.f64 (/.f64 1 (fma.f64 x x x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	30.7b	(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
	7.4b	(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	19.9b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
▶	30.8b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	23.4b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	31.6b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	32.0b	(-.f64 (pow.f64 x -1/2) 1)
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	31.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
✓	32.1b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	0.5b	(*.f64 (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) 1) (/.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
	43.2b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
▶	31.7b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1111 to 821 computations (26.1% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
✓	0.0b	(+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))
✓	0.1b	(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))))
✓	0.3b	(*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))

Compiler

Compiled 48 to 26 computations (45.8% saved)

series48.0ms (0.4%)

Counts

3 → 2

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))))
16.0ms	x	@	inf	(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))))
5.0ms	x	@	-inf	(*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
3.0ms	x	@	inf	(*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))
1.0ms	x	@	0	(/.f64 (pow.f64 x -1/2) (*.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x))))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-*r/`
1654×	`associate-/r*`
1460×	`associate-*l/`
262×	`add-sqr-sqrt`
248×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	107
1	256	91
2	3438	91

Stop Event

1×	node limit

Counts

3 → 165

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify144.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1896×	`unswap-sqr`
1126×	`associate-/r/`
558×	`associate-/l*`
400×	`associate-+r+`
372×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	8265
1	971	7523
2	4011	7521

Stop Event

1×	node limit

Counts

167 → 250

Calls

Call 1

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite51.0ms (0.4%)

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)))))))

simplify44.0ms (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)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`associate-*r/`
970×	`*-commutative`
716×	`associate-*l/`
510×	`distribute-lft-in`
494×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	249	42
2	3169	42

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

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simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1724×	`associate-*l/`
1214×	`associate-+r+`
1186×	`associate-+l+`
1014×	`+-commutative`
612×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	9974
1	1283	9190
2	4950	8926

Stop Event

1×	node limit

Counts

168 → 290

Calls

Call 1

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

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

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 41 computations (37.9% saved)

series6.0ms (0.1%)

Counts

3 → 17

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`associate-/r*`
1054×	`associate-/l*`
744×	`associate-/r/`
404×	`associate-/l/`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	377	63
2	4295	57

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/2)) (*.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/2)) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1/2)) (neg.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x))) (sqrt.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1/2) -1/2) (*.f64 (pow.f64 (+.f64 x 1/2) -1/2) (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x))) 2) (cbrt.f64 (/.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (-.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1/2) -2)) (*.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1/2 x))) (*.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))) (/.f64 1 (-.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (-.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 1 (+.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 (+.f64 x 1/2)) (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 -1/2 x)) (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))) (/.f64 1 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) 2)) (*.f64 (/.f64 1 (-.f64 -1/2 x)) (cbrt.f64 (-.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))) (+.f64 x 1/2))) (/.f64 1 (sqrt.f64 (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x))))))))) (#(struct:change #<rule egg-rr> 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simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1502×	`associate-*r/`
1500×	`associate-/r*`
1286×	`associate-*l/`
592×	`+-commutative`
408×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	5298
1	1052	5082
2	4240	5072

Stop Event

1×	node limit

Counts

142 → 247

Calls

Call 1

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

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

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
✓	0.1b	(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
✓	16.8b	(pow.f64 (fma.f64 x x x) -1/2)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series4.0ms (0%)

Counts

3 → 13

Calls

9 calls:

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

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`associate-*r/`
1262×	`associate-*l/`
1020×	`associate-/r*`
308×	`add-sqr-sqrt`
294×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	300	77
2	3991	77

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

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

Outputs

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

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

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

simplify106.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1522×	`distribute-lft-in`
1506×	`distribute-rgt-in`
968×	`associate-/r/`
814×	`associate-/l/`
450×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	5622
1	777	5514
2	3033	5490

Stop Event

1×	node limit

Counts

128 → 213

Calls

Call 1

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

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

eval921.0ms (8.1%)

Compiler: Compiled 31119 to 21766 computations (30.1% saved)

prune365.0ms (3.2%)

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	1235	15	1250
Fresh	15	8	23
Picked	1	0	1
Done	5	3	8
Total	1256	26	1282

Error

Counts

1282 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	31.7b	(pow.f64 x -1/2)
	7.2b	(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 x 1))) 1) x))
	30.2b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
	30.7b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
	30.0b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (pow.f64 (+.f64 x 1/2) -1/2) 2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	30.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (/.f64 -1 (cbrt.f64 (-.f64 -1/2 x))) 3)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
▶	47.6b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) 1))
▶	59.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
	30.5b	(/.f64 1 (*.f64 (+.f64 x 1/2) (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))))
	30.7b	(/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) x))
	31.8b	(/.f64 1 (sqrt.f64 x))
	19.9b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
✓	30.8b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	23.4b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	31.6b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	32.0b	(-.f64 (pow.f64 x -1/2) 1)
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	31.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	21.8b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	7.5b	(.f64 (pow.f64 x -1/4) (.f64 (pow.f64 x -1/4) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1)))))))
▶	7.3b	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (.f64 x (+.f64 x 1))))))
	0.5b	(*.f64 (/.f64 (pow.f64 x -1/4) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 (pow.f64 x -1/4) (sqrt.f64 (+.f64 x 1))))
▶	0.2b	(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
	43.2b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	31.7b	(sqrt.f64 (/.f64 1 x))
	60.4b	2

Compiler

Compiled 612 to 481 computations (21.4% saved)

localize29.0ms (0.3%)

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 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
✓	0.1b	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 1 x)))

Compiler

Compiled 58 to 40 computations (31% saved)

series13.0ms (0.1%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
3.0ms	x	@	-inf	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
3.0ms	x	@	inf	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms	x	@	0	(/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
1.0ms	x	@	inf	(*.f64 (/.f64 (pow.f64 x -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 1 (sqrt.f64 (+.f64 1 x))))

rewrite109.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`associate-/r/`
984×	`distribute-rgt-in`
936×	`distribute-lft-in`
636×	`associate-/l/`
336×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	120
1	314	116
2	4410	108

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

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

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1062×	`times-frac`
874×	`associate-/l*`
844×	`associate-l`
824×	`associate-r`
684×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	619	12344
1	1879	11668

Stop Event

1×	node limit

Counts

252 → 366

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

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

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 x 1/2))

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`associate-*r/`
854×	`*-commutative`
642×	`distribute-lft-in`
634×	`associate-*l/`
622×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	205	21
2	2744	21

Stop Event

1×	node limit

Counts

1 → 126

Calls

Call 1

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

Outputs

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simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-*r/`
1316×	`+-commutative`
1028×	`associate-*l/`
778×	`associate-+l-`
742×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	8596
1	1047	8222
2	4305	8014

Stop Event

1×	node limit

Counts

138 → 230

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

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 53 to 32 computations (39.6% saved)

series6.0ms (0.1%)

Counts

2 → 2

Calls

6 calls:

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

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`associate-*l/`
1216×	`associate-/r*`
1080×	`*-commutative`
882×	`associate-/l*`
622×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	332	40
2	3557	40

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

832×	`unswap-sqr`
806×	`associate-+l+`
524×	`distribute-lft-in`
518×	`+-commutative`
486×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	360	5614
1	1088	5090
2	4662	5086

Stop Event

1×	node limit

Counts

146 → 245

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1))))
✓	0.1b	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (.f64 x (+.f64 x 1))))))
✓	0.2b	(/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
✓	16.8b	(sqrt.f64 (*.f64 x (+.f64 x 1)))

Compiler

Compiled 59 to 42 computations (28.8% saved)

series14.0ms (0.1%)

Counts

4 → 26

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (.f64 x (+.f64 x 1))))))
2.0ms	x	@	-inf	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (.f64 x (+.f64 x 1))))))
1.0ms	x	@	0	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (.f64 x (+.f64 x 1))))))
1.0ms	x	@	-inf	(/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1)))))
1.0ms	x	@	0	(/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1)))))

rewrite111.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`distribute-lft-in`
910×	`associate-/r*`
650×	`associate-/l*`
588×	`associate-/r/`
432×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	122
1	291	98
2	3915	98

Stop Event

1×	node limit

Counts

4 → 303

Calls

Call 1

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

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

simplify212.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-/l*`
908×	`associate-r`
900×	`associate-/l/`
754×	`associate-/r*`
742×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	815	18775
1	2287	18031

Stop Event

1×	node limit

Counts

329 → 526

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 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
(+.f64 1/2 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))
(+.f64 1/2 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))))
(+.f64 1/2 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x)))))
1
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/16 (/.f64 1 (pow.f64 x 3)))) (*.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/16 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 35/128 (/.f64 1 (pow.f64 x 4))) (.f64 3/8 (/.f64 1 (pow.f64 x 2)))))
(/.f64 -1 (*.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x))
(neg.f64 (+.f64 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x)) (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 x 2))))))
(-.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 3))) (+.f64 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x)) (.f64 3/2 (/.f64 1 (*.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 9/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 2))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 3/16 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3) (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 3/2 (/.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 9/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3)))) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1))) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 (sqrt.f64 -1) 4)))))) (pow.f64 x 4)))) (+.f64 (/.f64 1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x)) (.f64 3/2 (/.f64 1 (.f64 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2) (pow.f64 x 2))))))
1
(*.f64 2 x)
(+.f64 3/2 (*.f64 2 x))
(-.f64 (+.f64 3/2 (.f64 2 x)) (.f64 1/8 (/.f64 1 x)))
(-.f64 (+.f64 3/2 (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/8 (/.f64 1 x)))
(.f64 -1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x))
(+.f64 3/2 (.f64 -1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x)))
(+.f64 3/2 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x))))
(+.f64 3/2 (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 x 2)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))) (.f64 -1 (.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) x)))))
(+.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 x)) 1))
(+.f64 (hypot.f64 x (sqrt.f64 x)) 0)
(-.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) 1)
(*.f64 1 (hypot.f64 x (sqrt.f64 x)))
(*.f64 (hypot.f64 x (sqrt.f64 x)) 1)
(*.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (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 (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) 2))) (sqrt.f64 (cbrt.f64 (fma.f64 x x x))))
(*.f64 (pow.f64 1 1/2) (hypot.f64 x (sqrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) 2)) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 1/2))
(pow.f64 (fma.f64 x x x) 1/2)
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(/.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)))
(/.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (/.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2) (cbrt.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (/.f64 -1 (neg.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) (/.f64 1 (/.f64 1 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 -1 (/.f64 -1 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))) -1)
(/.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (/.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2) (sqrt.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (sqrt.f64 (-.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (/.f64 -1 (sqrt.f64 (-.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x)))) (/.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x)))) (.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)) (/.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2) (sqrt.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (-.f64 -1 (+.f64 x (hypot.f64 x (sqrt.f64 x)))))) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x)))) (cbrt.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))))) (/.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (cbrt.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2))) (/.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (/.f64 -1 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)) (/.f64 -1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x)))) (neg.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x)))) (.f64 1 (neg.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x)))) (.f64 -1 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (.f64 1 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))) (.f64 -1 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (fma.f64 x x x) 3)) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (-.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (*.f64 1 (-.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x 1) 2)) (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1)))
(/.f64 (-.f64 (fma.f64 x x x) (pow.f64 (+.f64 x 1) 2)) (*.f64 1 (-.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))))
(/.f64 (-.f64 (.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (pow.f64 (fma.f64 x x x) 2)) (.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (+.f64 (fma.f64 x x x) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3) 3) (pow.f64 (pow.f64 (fma.f64 x x x) 3/2) 3)) (.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))) (-.f64 (+.f64 (.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (+.f64 x 1) 3)) (pow.f64 (fma.f64 x x x) 3)) (.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) 3)) (-.f64 (+.f64 (.f64 x x) (.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (*.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) 3)) (.f64 1 (-.f64 (+.f64 (.f64 x x) (.f64 (+.f64 1 (hypot.f64 x (sqrt.f64 x))) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (+.f64 x (.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) 2) 3) (pow.f64 (fma.f64 x x x) 3)) (.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))) (+.f64 (.f64 (pow.f64 (+.f64 x 1) 2) (pow.f64 (+.f64 x 1) 2)) (+.f64 (pow.f64 (fma.f64 x x x) 2) (*.f64 (pow.f64 (+.f64 x 1) 2) (fma.f64 x x x))))))
(/.f64 (/.f64 1 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2)) (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2))
(/.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -2))) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (/.f64 1 (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 1 (-.f64 x x)))) (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)))) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) -1)) (pow.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) -1))
(/.f64 (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) -1)) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) -1))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 1) (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) (sqrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2))) (sqrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2)))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) 1) (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))) (sqrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -2)))) (cbrt.f64 (/.f64 1 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))))
(/.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2))) (cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) -1/2)))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) 1) (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x)))))) (sqrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (/.f64 (.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) (.f64 (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))) (cbrt.f64 (+.f64 x (-.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (+.f64 1 (-.f64 x x))) (+.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (+.f64 x 1)))) (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (hypot.f64 x (sqrt.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) 1) (+.f64 (pow.f64 (+.f64 x 1) 2) (*.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 (fma.f64 x x x) 3/2)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) 2) (.f64 (+.f64 x 1) (-.f64 x (hypot.f64 x (sqrt.f64 x)))))))
(pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))) 3))
(expm1.f64 (log.f64 (+.f64 (+.f64 2 x) (hypot.f64 x (sqrt.f64 x)))))
(exp.f64 (log.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(fma.f64 1 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 1 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x 1))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 1 (hypot.f64 x (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 -1 (.f64 (pow.f64 (sqrt.f64 -1) 2) x))
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1
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1
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(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))) 1))
(-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))))
(-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (+.f64 x 1) (hypot.f64 x (sqrt.f64 x)))
(-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 1 (hypot.f64 x (sqrt.f64 x)) (+.f64 x 1))
(-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (sqrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x 1))
(-.f64 (+.f64 x 1) (neg.f64 (hypot.f64 x (sqrt.f64 x))))
(+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)) (+.f64 x 1))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))
(fma.f64 (cbrt.f64 (fma.f64 x x x)) (cbrt.f64 (hypot.f64 x (sqrt.f64 x))) (+.f64 x 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (+.f64 1 (hypot.f64 x (sqrt.f64 x))))

eval931.0ms (8.2%)

Compiler: Compiled 42219 to 29078 computations (31.1% saved)

prune427.0ms (3.8%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1551	12	1563
Fresh	6	12	18
Picked	1	0	1
Done	2	5	7
Total	1560	29	1589

Error

Counts

1589 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x -1/2) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))) 2)
	31.7b	(pow.f64 x -1/2)
	7.2b	(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 x 1))) 1) x))
	0.1b	(/.f64 (pow.f64 x -1/2) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))
	30.2b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
✓	59.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
	59.3b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
	61.3b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
	61.2b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
	60.7b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.f64 x x)))) 1)
	49.8b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
	30.5b	(/.f64 1 (*.f64 (+.f64 x 1/2) (+.f64 (sqrt.f64 x) (hypot.f64 1 (sqrt.f64 x)))))
	31.8b	(/.f64 1 (sqrt.f64 x))
	19.9b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
✓	30.8b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	23.4b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	31.6b	(-.f64 (pow.f64 x -1/2) (+.f64 (*.f64 -1/2 x) 1))
	32.0b	(-.f64 (pow.f64 x -1/2) 1)
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	31.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	7.5b	(.f64 (pow.f64 x -1/4) (.f64 (pow.f64 x -1/4) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (*.f64 x (+.f64 x 1)))))))
	30.7b	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))))
	31.4b	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
	25.7b	(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
	31.1b	(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
	30.2b	(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
	43.2b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	31.7b	(sqrt.f64 (/.f64 1 x))
	60.4b	2

Compiler

Compiled 366 to 280 computations (23.5% saved)

regimes70.0ms (0.6%)

Counts

74 → 1

Calls

Call 1

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

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

Calls

2 calls:

32.0ms	x
13.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 1189 to 793 computations (33.3% saved)

regimes71.0ms (0.6%)

Counts

50 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 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 (/.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 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 (sqrt.f64 (*.f64 x (+.f64 x 1))) 1) x))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (.f64 x (+.f64 x 1))))))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.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 (+.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 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (-.f64 (+.f64 x 1/2) (/.f64 1/8 x)))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (/.f64 1 (.f64 x 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 (/.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 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 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x))) (/.f64 1 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) -1/2)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (exp.f64 (*.f64 (log1p.f64 x) 1/2))))
(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

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

Calls

2 calls:

40.0ms	x
14.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.1b	2	`x`
0.1b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 709 to 508 computations (28.3% saved)

bsearch9.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	3.049468253394965e+151	6.573891311145961e+154

Results

8.0ms

32×

body

1024

valid

Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes50.0ms (0.4%)

Counts

35 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 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 (/.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 x) (sqrt.f64 (+.f64 x 1))))

Outputs
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Calls

2 calls:

28.0ms	x
12.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.1b	2	`x`
0.1b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 393 to 281 computations (28.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7147103842287542e-8	4.613633468062567e-5

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes33.0ms (0.3%)

Counts

30 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 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 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))

Outputs
(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.1b	2	`x`

Compiler

Compiled 327 to 231 computations (29.4% saved)

bsearch14.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	489.22408741436385	94736.4686545577

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 212 to 174 computations (17.9% saved)

regimes31.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))

Outputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))))

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.5b	2	`x`

Compiler

Compiled 299 to 210 computations (29.8% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.37280183697390085	489.22408741436385

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 320 to 253 computations (20.9% saved)

regimes30.0ms (0.3%)

Counts

25 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (sqrt.f64 (+.f64 x (.f64 x x))))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) 1))

Outputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x)))))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.6b	2	`x`

Compiler

Compiled 268 to 187 computations (30.2% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.37280183697390085	489.22408741436385

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 256 to 213 computations (16.8% saved)

regimes31.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))

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

Calls

1 calls:

26.0ms

Results

Error	Segments	Branch
0.7b	2	`x`

Compiler

Compiled 221 to 156 computations (29.4% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.37280183697390085	489.22408741436385

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 224 to 189 computations (15.6% saved)

regimes25.0ms (0.2%)

Counts

20 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (.f64 x 2))))

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.7b	2	`x`

Compiler

Compiled 198 to 138 computations (30.3% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.37280183697390085	489.22408741436385

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 208 to 173 computations (16.8% saved)

regimes23.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x))))
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))

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

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
1.0b	2	`x`

Compiler

Compiled 187 to 129 computations (31% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.37280183697390085	489.22408741436385

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 200 to 165 computations (17.5% saved)

regimes20.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.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 1 (pow.f64 x -1/2)) x))
(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.1b	2	`x`

Compiler

Compiled 167 to 114 computations (31.7% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.37280183697390085	489.22408741436385

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 176 to 141 computations (19.9% saved)

regimes18.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
(*.f64 (pow.f64 x -1/2) (/.f64 1/2 x))
(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.2b	2	`x`

Compiler

Compiled 140 to 93 computations (33.6% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.37280183697390085	489.22408741436385

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 144 to 117 computations (18.8% saved)

regimes16.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(-.f64 (/.f64 1 (sqrt.f64 x)) 1)

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
20.7b	2	`x`

Compiler

Compiled 126 to 82 computations (34.9% saved)

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	0.37280183697390085	489.22408741436385

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 240 to 189 computations (21.3% saved)

regimes14.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.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)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
21.4b	2	`x`

Compiler

Compiled 115 to 74 computations (35.7% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	0.005461131069870423	0.37280183697390085

Results

12.0ms

112×

body

256

valid

Compiler

Compiled 198 to 153 computations (22.7% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
2
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (+.f64 2 (.f64 -4 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (-.f64 (/.f64 1 x) (/.f64 1/2 (.f64 x x)))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 (+.f64 x -1/2) (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1/16)) (+.f64 1/4 (.f64 x x)))) 1)

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
49.8b	1	`x`

Compiler

Compiled 104 to 66 computations (36.5% saved)

regimes6.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
59.3b	1	`x`

Compiler

Compiled 58 to 40 computations (31% saved)

regimes5.0ms (0%)

Accuracy

Total -1.9b remaining (-3.3%)

Threshold costs -1.9b (-3.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
59.3b	1	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

68×	`+-commutative`
44×	`*-commutative`
34×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	1019
1	169	1019
2	204	1019
3	226	1019
4	236	1019
5	237	1019

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (pow.f64 x -1/2) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(if (<=.f64 x 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112) (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) 1) x)) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/151115727451828646838272) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x))))) (-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 4200) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x))))))
(if (<=.f64 x 1261007895663739/2251799813685248) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x)))))))
(if (<=.f64 x 5224175567749775/9007199254740992) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (*.f64 x 2) (/.f64 1/8 x))))))
(if (<=.f64 x 5584463537939415/9007199254740992) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 7385903388887613/18014398509481984) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 3152519739159347/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 5404319552844595/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1))
(if (<=.f64 x 3314649325744685/36028797018963968) (pow.f64 x -1/2) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
2

Outputs
(/.f64 (pow.f64 x -1/2) (+.f64 x (+.f64 1 (hypot.f64 x (sqrt.f64 x)))))
(if (<=.f64 x 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112) (/.f64 (pow.f64 x -1/2) (+.f64 (+.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) 1) x)) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 1999999999999999999466806008246307489711078038236873372571680376048739359044847523345839519129134316887338757648057420040785188188258060440266031719514112) (/.f64 (pow.f64 x -1/2) (+.f64 x (+.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/151115727451828646838272) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x))))) (-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/151115727451828646838272) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (+.f64 (.f64 x 2) (/.f64 -1/8 x))))) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 4200) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x))))))
(if (<=.f64 x 4200) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (.f64 x 2) (/.f64 1/8 x))))))
(if (<=.f64 x 4200) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (+.f64 (.f64 x 2) (/.f64 -1/8 x))))))
(if (<=.f64 x 1261007895663739/2251799813685248) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x)))))))
(if (<=.f64 x 1261007895663739/2251799813685248) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (.f64 x 1/2)))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 1/8 x)))))))
(if (<=.f64 x 1261007895663739/2251799813685248) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 1 (.f64 x 1/2)))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (+.f64 x 1) (+.f64 1/2 (+.f64 (+.f64 x (/.f64 1/16 (*.f64 x x))) (/.f64 -1/8 x)))))))
(if (<=.f64 x 5224175567749775/9007199254740992) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (*.f64 x 2) (/.f64 1/8 x))))))
(if (<=.f64 x 5224175567749775/9007199254740992) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (.f64 x 1/2)))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (-.f64 (*.f64 x 2) (/.f64 1/8 x))))))
(if (<=.f64 x 5224175567749775/9007199254740992) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 1 (.f64 x 1/2)))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (+.f64 (*.f64 x 2) (/.f64 -1/8 x))))))
(if (<=.f64 x 5584463537939415/9007199254740992) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 5584463537939415/9007199254740992) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (.f64 x 1/2)))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 5584463537939415/9007199254740992) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 1 (.f64 x 1/2)))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 7385903388887613/18014398509481984) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 7385903388887613/18014398509481984) (-.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 x -1/2))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 7385903388887613/18014398509481984) (+.f64 (pow.f64 x -1/2) (-.f64 -1 (.f64 x -1/2))) (.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 3/2 (*.f64 x 2)))))
(if (<=.f64 x 3152519739159347/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 x 3152519739159347/4503599627370496) (-.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 x -1/2))) (.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 3152519739159347/4503599627370496) (+.f64 (pow.f64 x -1/2) (-.f64 -1 (.f64 x -1/2))) (.f64 (/.f64 1/2 x) (/.f64 1 (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 (.f64 -1/2 x) 1)) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 1) (-.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 x -1/2))) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 1) (+.f64 (pow.f64 x -1/2) (-.f64 -1 (.f64 x -1/2))) (.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 5944751508129055/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (*.f64 (pow.f64 x -1/2) (/.f64 1/2 x)))
(if (<=.f64 x 5404319552844595/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1))
(if (<=.f64 x 5404319552844595/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))))
(if (<=.f64 x 3314649325744685/36028797018963968) (pow.f64 x -1/2) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1))
(if (<=.f64 x 3314649325744685/36028797018963968) (pow.f64 x -1/2) (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x))) 1)
(.f64 (+.f64 1 (-.f64 x x)) (.f64 (/.f64 1 (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x)))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) 1)
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2)))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) 1)
(*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x))
2

Compiler

Compiled 386 to 298 computations (22.8% saved)

soundness348.0ms (3.1%)

Algorithm

4×	egg-herbie

Rules

1408×	`associate-+r-`
1408×	`associate-+r-`
1088×	`times-frac`
1088×	`times-frac`
940×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	635	14195
1	1614	13085
2	7597	13085
0	623	14235
1	1645	13103
0	635	14195
1	1614	13085
2	7597	13085
0	623	14235
1	1645	13103

Stop Event

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

Compiler

Compiled 358 to 228 computations (36.3% saved)

end181.0ms (1.6%)

Compiler: Compiled 370 to 274 computations (25.9% 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