Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.6s (14.5%)

Results

784.0ms	2297×	body	1024	valid
577.0ms	4877×	body	256	valid
236.0ms	1082×	body	512	valid

Bogosity

preprocess17.0ms (0.2%)

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)

simplify18.0ms (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))))

eval5.0ms (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

20.8b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1))
✓	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 1 (sqrt.f64 x))
✓	3.5b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series45.0ms (0.4%)

Counts

4 → 8

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
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))))
1.0ms	x	@	0	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 x))

rewrite102.0ms (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))))))))

simplify162.0ms (1.5%)

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))

eval228.0ms (2%)

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

prune131.0ms (1.2%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	394	22	416
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	395	22	417

Error

5.1b

Counts

417 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	20.8b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (sqrt.f64 (+.f64 x (*.f64 x x))))
▶	20.8b	(/.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
▶	45.9b	(/.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)))))
	20.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	35.4b	(/.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)))
▶	5.2b	(/.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))))
	20.7b	(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
	5.3b	(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	27.1b	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	20.7b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
▶	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	23.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	24.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))
	33.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	31.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (exp.f64 (*.f64 (log1p.f64 x) 1/2))))
	31.6b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
	34.2b	(-.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))))
	31.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) -1/2)))
▶	34.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	24.1b	(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	20.9b	(*.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))

Compiler

Compiled 690 to 548 computations (20.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 x x))
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x (*.f64 x x))))
✓	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))))
✓	15.5b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 85 to 35 computations (58.8% saved)

series11.0ms (0.1%)

Counts

4 → 28

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	@	0	(+.f64 x (*.f64 x x))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x (*.f64 x x)))

rewrite101.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`associate-/r*`
1090×	`associate-/l*`
340×	`add-sqr-sqrt`
332×	`pow1`
332×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	102
1	396	76
2	4804	76

Stop Event

1×	node limit

Counts

4 → 219

Calls

Call 1

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

simplify149.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/r/`
562×	`+-commutative`
528×	`associate-r`
476×	`associate-l`
436×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	532	7429
1	1272	7101
2	4799	7077

Stop Event

1×	node limit

Counts

247 → 368

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 9 computations (40% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x -1/2)
	0.0b	(sqrt.f64 (+.f64 x 1))
	0.2b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	9.4b	(-.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
20.0ms	x	@	0	(pow.f64 x -1/2)
17.0ms	x	@	-inf	(pow.f64 x -1/2)
8.0ms	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))))

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	244	32
2	3153	32

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

((#(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)))))))

simplify175.0ms (1.6%)

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

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

localize75.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) x)
✓	0.2b	(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))
✓	6.4b	(+.f64 (/.f64 (/.f64 1 x) x) (/.f64 -1 (*.f64 (+.f64 1 x) (+.f64 1 x))))
✓	26.8b	(/.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)))))

Compiler

Compiled 132 to 100 computations (24.2% saved)

series15.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.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)))))
3.0ms	x	@	0	(/.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)))))
3.0ms	x	@	-inf	(*.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 (/.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)))))
0.0ms	x	@	inf	(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x))))

rewrite131.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

486×	`add-sqr-sqrt`
478×	`+-commutative`
472×	`*-un-lft-identity`
468×	`pow1`
454×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	202
1	469	112
2	7698	112

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

Inputs
(/.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 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 x) 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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simplify153.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-/r*`
1190×	`associate-r`
1108×	`associate-l`
870×	`*-commutative`
844×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	857	20210
1	2666	19942

Stop Event

1×	node limit

Counts

268 → 393

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 1 x))
✓	0.0b	(/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
✓	0.1b	(/.f64 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
✓	3.4b	(-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series5.0ms (0%)

Counts

4 → 21

Calls

12 calls:

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

rewrite100.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`associate-/l/`
718×	`associate-/r/`
690×	`distribute-rgt-in`
646×	`distribute-lft-in`
540×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	84
1	241	84
2	3443	84

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

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

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

simplify121.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

972×	`associate-+l+`
952×	`associate-+r+`
728×	`associate-r`
716×	`+-commutative`
606×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	524	8452
1	1398	7734
2	6431	7734

Stop Event

1×	node limit

Counts

226 → 310

Calls

Call 1

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

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

eval1.2s (11.2%)

Compiler: Compiled 46710 to 34296 computations (26.6% saved)

prune541.0ms (4.9%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1437	32	1469
Fresh	16	1	17
Picked	1	0	1
Done	3	1	4
Total	1457	34	1491

Error

Counts

1491 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(pow.f64 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) -1)
▶	5.1b	(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
	0.4b	(/.f64 (/.f64 (/.f64 1 (hypot.f64 x (sqrt.f64 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)))))
	20.7b	(/.f64 (/.f64 (-.f64 1 (/.f64 x (+.f64 1 x))) (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (sqrt.f64 x))
	50.5b	(/.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
	29.2b	(/.f64 (/.f64 1/2 x) (sqrt.f64 x))
	29.7b	(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
	49.2b	(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
▶	50.0b	(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
	20.7b	(/.f64 (-.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
▶	20.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	29.1b	(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 x))
	29.4b	(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 35/128 (pow.f64 x 4))))) (sqrt.f64 x))
	20.7b	(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (-.f64 1 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
	5.4b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (pow.f64 (pow.f64 (fma.f64 x x x) 1/4) -2)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	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))))
▶	0.4b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	29.0b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	27.8b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x 1/2))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	28.3b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	0.5b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (pow.f64 x 1/4) (.f64 (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))))
	0.5b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (*.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (cbrt.f64 (sqrt.f64 (+.f64 x 1)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	20.7b	(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
	5.3b	(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	34.4b	(/.f64 1 (sqrt.f64 x))
	20.7b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
	33.3b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	23.3b	(-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	34.7b	(-.f64 (pow.f64 x -1/2) 1)
	34.1b	(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
	0.4b	(*.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)))))
	39.9b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
▶	34.3b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1179 to 883 computations (25.1% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 100 to 63 computations (37% saved)

series10.0ms (0.1%)

Counts

3 → 16

Calls

9 calls:

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

rewrite151.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`associate-/r/`
1084×	`associate-/l/`
342×	`add-sqr-sqrt`
336×	`pow1`
336×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	119
1	434	89
2	4878	87

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

322×	`*-commutative`
192×	`associate-*l/`
104×	`associate-*r/`
74×	`sqr-pow`
46×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	511	9629
1	1382	9629

Stop Event

1×

unsound

Counts

205 → 324

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(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))

rewrite52.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify45.0ms (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)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
✓	0.1b	(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
✓	0.2b	(/.f64 3/8 (*.f64 x x))
✓	3.4b	(-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))))

Compiler

Compiled 67 to 41 computations (38.8% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
0.0ms	x	@	0	(-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
0.0ms	x	@	0	(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
0.0ms	x	@	0	(/.f64 3/8 (*.f64 x x))

rewrite144.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1716×	`associate-/l*`
410×	`associate-+r+`
406×	`associate-+l+`
370×	`+-commutative`
362×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	352	88
2	5122	88

Stop Event

1×	node limit

Counts

4 → 249

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 x) (-.f64 0 (.f64 3/8 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (.f64 3/8 (pow.f64 x -2))) (/.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 3/8 (pow.f64 x -2))) (-.f64 (/.f64 1/2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (-.f64 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1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 3/8 (pow.f64 x -2)) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3/8 (pow.f64 x -2) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 3/8) x) (/.f64 (sqrt.f64 3/8) x) (/.f64 -1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 9/64 (pow.f64 x 4))) (cbrt.f64 (.f64 3/8 (pow.f64 x -2))) (/.f64 -1/2 x))))))

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1030×	`fma-def`
826×	`associate-/r*`
762×	`associate-r`
660×	`associate-l`
658×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	596	12021
1	1557	11033

Stop Event

1×	node limit

Counts

285 → 380

Calls

Call 1

Inputs
(/.f64 -3/8 (pow.f64 x 2))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (pow.f64 x 2))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 1 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(+.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))
(+.f64 1 (-.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 1))
(+.f64 (/.f64 1/2 x) (-.f64 0 (*.f64 3/8 (pow.f64 x -2))))
(+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 0)
(+.f64 0 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(+.f64 0 (*.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(+.f64 0 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(+.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1)
(+.f64 (-.f64 0 (*.f64 3/8 (pow.f64 x -2))) (/.f64 1/2 x))
(+.f64 (-.f64 1 (*.f64 3/8 (pow.f64 x -2))) (-.f64 (/.f64 1/2 x) 1))
(+.f64 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1) 1)
(+.f64 -1 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(+.f64 (*.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 0)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 0)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 0)
(+.f64 (+.f64 0 (-.f64 0 (*.f64 3/8 (pow.f64 x -2)))) (/.f64 1/2 x))
(+.f64 (-.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) 1)
(+.f64 (-.f64 1 (/.f64 1 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2) (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(+.f64 (-.f64 0 (/.f64 (/.f64 9/64 (pow.f64 x 4)) (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x)))) (/.f64 (/.f64 1/4 (*.f64 x x)) (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x))))
(+.f64 (-.f64 0 (/.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4)))))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4))))))
(+.f64 (-.f64 0 (/.f64 x (/.f64 (pow.f64 x 3) 3/8))) (/.f64 (*.f64 x x) (/.f64 (pow.f64 x 3) 1/2)))
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(+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (+.f64 (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (+.f64 (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))))
(+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))))
(+.f64 0 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))
(+.f64 (+.f64 1 (*.f64 3/8 (pow.f64 x -2))) (-.f64 (/.f64 -1/2 x) 1))
(+.f64 (/.f64 -1/2 x) (*.f64 3/8 (pow.f64 x -2)))
(+.f64 (/.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x -2)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x -2)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x -2)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x))))
(+.f64 (/.f64 -1/2 x) (+.f64 (*.f64 3/8 (pow.f64 x -2)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x))))
(+.f64 (.f64 (/.f64 -1/2 x) 1) (.f64 3/8 (pow.f64 x -2)))
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(+.f64 -1 (neg.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
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(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))
(+.f64 (+.f64 0 (*.f64 3/8 (pow.f64 x -2))) (/.f64 -1/2 x))
(+.f64 (+.f64 0 (.f64 3/8 (pow.f64 x -2))) (.f64 (/.f64 -1/2 x) 1))
(+.f64 (+.f64 0 (/.f64 -1/2 x)) (*.f64 3/8 (pow.f64 x -2)))
(+.f64 (-.f64 0 (-.f64 0 (*.f64 3/8 (pow.f64 x -2)))) (/.f64 -1/2 x))
(+.f64 (-.f64 0 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 1)
(+.f64 (-.f64 0 (/.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)))
(+.f64 (-.f64 0 (/.f64 1 (+.f64 1 (.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2))))) (/.f64 (pow.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 3) (+.f64 1 (.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)))))
(+.f64 (-.f64 (*.f64 3/8 (pow.f64 x -2)) (exp.f64 (log1p.f64 (/.f64 1/2 x)))) 1)
(*.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))
(*.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 1)
(*.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 2) (neg.f64 (cbrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2) (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x))) (/.f64 1 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x))))
(.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4))))))
(.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2))) (/.f64 1 (pow.f64 x 3)))
(*.f64 -1 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) 2)) (cbrt.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 1/2 x)) (/.f64 (sqrt.f64 3/8) x)) (-.f64 (/.f64 (sqrt.f64 3/8) x) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(/.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x))) (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x)))
(/.f64 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x)) (/.f64 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(/.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4)))))
(/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4)))) (/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4)))) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(/.f64 (-.f64 (.f64 3/8 x) (.f64 x (*.f64 x 1/2))) (pow.f64 x 3))
(/.f64 (sqrt.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x)))) (/.f64 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x)) (sqrt.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4)))) (sqrt.f64 (-.f64 (*.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2)))) (/.f64 (pow.f64 x 3) (sqrt.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x)))) (cbrt.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x))))) (/.f64 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x)) (cbrt.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (.f64 x x))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3))))) (/.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4)))) (cbrt.f64 (-.f64 (*.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2)))) (cbrt.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2))))) (/.f64 (pow.f64 x 3) (cbrt.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2))))))
(/.f64 (/.f64 (-.f64 (.f64 3/8 x) (.f64 x (.f64 x 1/2))) (.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 3))) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2))))
(/.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (-.f64 (.f64 3/8 (pow.f64 x -2)) (/.f64 -1/2 x)))
(/.f64 (+.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (pow.f64 (/.f64 -1/2 x) 3)) (-.f64 (+.f64 (/.f64 9/64 (pow.f64 x 4)) (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (.f64 (.f64 3/8 (pow.f64 x -2)) (/.f64 -1/2 x))))
(/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)
(/.f64 (-.f64 (/.f64 x 1/2) (.f64 (.f64 (.f64 x x) 8/3) 1)) (.f64 (.f64 (.f64 x x) 8/3) (/.f64 x 1/2)))
(/.f64 (-.f64 x (.f64 (.f64 (.f64 x x) 8/3) 1/2)) (.f64 (.f64 (.f64 x x) 8/3) x))
(/.f64 (-.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) 8/3) -1/2)) (.f64 (.f64 (.f64 x x) 8/3) (neg.f64 x)))
(/.f64 (-.f64 (.f64 3/8 (/.f64 x 1/2)) (.f64 x x)) (.f64 (.f64 x x) (/.f64 x 1/2)))
(/.f64 (-.f64 (.f64 3/8 (neg.f64 x)) (.f64 (.f64 x x) -1/2)) (.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (/.f64 3/8 x) (/.f64 x 1/2)) x) (.f64 x (/.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (/.f64 3/8 x) x) (.f64 x 1/2)) (*.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 3/8 x) (neg.f64 x)) (.f64 x -1/2)) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 -3/8 (/.f64 x 1/2)) (.f64 (.f64 x (neg.f64 x)) 1)) (.f64 (*.f64 x (neg.f64 x)) (/.f64 x 1/2)))
(/.f64 (-.f64 (.f64 -3/8 x) (.f64 (.f64 x (neg.f64 x)) 1/2)) (.f64 (*.f64 x (neg.f64 x)) x))
(/.f64 (-.f64 (.f64 -3/8 (neg.f64 x)) (.f64 (.f64 x (neg.f64 x)) -1/2)) (.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) (neg.f64 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (neg.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 3/8 x) (.f64 x (*.f64 x 1/2)))) (neg.f64 (pow.f64 x 3)))
(pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 3) 1/3)
(neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(log.f64 (/.f64 1 (exp.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(fma.f64 1 (*.f64 3/8 (pow.f64 x -2)) (/.f64 -1/2 x))
(fma.f64 3/8 (pow.f64 x -2) (/.f64 -1/2 x))
(fma.f64 (/.f64 (sqrt.f64 3/8) x) (/.f64 (sqrt.f64 3/8) x) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (/.f64 9/64 (pow.f64 x 4))) (cbrt.f64 (*.f64 3/8 (pow.f64 x -2))) (/.f64 -1/2 x))

Outputs
(/.f64 -3/8 (pow.f64 x 2))
(/.f64 -3/8 (*.f64 x x))
(*.f64 -3/8 (pow.f64 x -2))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (*.f64 x x))
(*.f64 3/8 (pow.f64 x -2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (*.f64 x x))
(*.f64 3/8 (pow.f64 x -2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (*.f64 x x))
(*.f64 3/8 (pow.f64 x -2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (*.f64 x x))
(*.f64 3/8 (pow.f64 x -2))
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (*.f64 x x))
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(/.f64 (-.f64 (.f64 (/.f64 3/8 x) x) (.f64 x 1/2)) (*.f64 x x))
(/.f64 (-.f64 (.f64 x (/.f64 3/8 x)) (.f64 x 1/2)) (*.f64 x x))
(/.f64 (.f64 x (+.f64 -1/2 (/.f64 3/8 x))) (.f64 x x))
(/.f64 (-.f64 (.f64 (/.f64 3/8 x) (neg.f64 x)) (.f64 x -1/2)) (*.f64 x (neg.f64 x)))
(/.f64 (fma.f64 (/.f64 3/8 x) (neg.f64 x) (neg.f64 (.f64 x -1/2))) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 x) (+.f64 -1/2 (/.f64 3/8 x))) (.f64 x (neg.f64 x)))
(/.f64 (-.f64 (.f64 -3/8 (/.f64 x 1/2)) (.f64 (.f64 x (neg.f64 x)) 1)) (.f64 (*.f64 x (neg.f64 x)) (/.f64 x 1/2)))
(/.f64 (-.f64 (.f64 -3/8 (/.f64 x 1/2)) (.f64 x (neg.f64 x))) (/.f64 (neg.f64 (pow.f64 x 3)) 1/2))
(.f64 (/.f64 (+.f64 (.f64 x x) (/.f64 x -4/3)) (neg.f64 (pow.f64 x 3))) 1/2)
(/.f64 (-.f64 (.f64 -3/8 x) (.f64 (.f64 x (neg.f64 x)) 1/2)) (.f64 (*.f64 x (neg.f64 x)) x))
(.f64 (-.f64 (.f64 x 3/8) (.f64 x (.f64 x 1/2))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (.f64 x (-.f64 3/8 (.f64 x 1/2))) (pow.f64 x 3))
(/.f64 (-.f64 (.f64 -3/8 (neg.f64 x)) (.f64 (.f64 x (neg.f64 x)) -1/2)) (.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)))
(.f64 (-.f64 (.f64 x 3/8) (.f64 x (.f64 x 1/2))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (.f64 x (-.f64 3/8 (.f64 x 1/2))) (pow.f64 x 3))
(/.f64 (neg.f64 (-.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 1/4 (*.f64 x x)))) (neg.f64 (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x))))
(.f64 1 (/.f64 (+.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 -1/4 (.f64 x x))) (fma.f64 3/8 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (neg.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 3/16 (pow.f64 x 3)) (/.f64 9/64 (pow.f64 x 4))))))
(/.f64 (neg.f64 (-.f64 (.f64 27/512 (pow.f64 (pow.f64 x -2) 3)) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (+.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 3/16 (pow.f64 x 3))))))
(/.f64 (neg.f64 (fma.f64 27/512 (pow.f64 (pow.f64 x -2) 3) (/.f64 -1/8 (pow.f64 x 3)))) (-.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 9/64 (pow.f64 x 4)) (/.f64 3/16 (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (.f64 3/8 x) (.f64 x (*.f64 x 1/2)))) (neg.f64 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 x 3/8) (.f64 x (.f64 x 1/2))) (/.f64 1 (pow.f64 x 3)))
(/.f64 (.f64 x (-.f64 3/8 (.f64 x 1/2))) (pow.f64 x 3))
(pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 1)
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 2)
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 3)
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 3) 1/3)
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(neg.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (+.f64 (/.f64 3/8 x) -1/2)) x) 2))
(fabs.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(log.f64 (/.f64 1 (exp.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 3))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) 1))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(fma.f64 1 (*.f64 3/8 (pow.f64 x -2)) (/.f64 -1/2 x))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(fma.f64 3/8 (pow.f64 x -2) (/.f64 -1/2 x))
(-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(fma.f64 (/.f64 (sqrt.f64 3/8) x) (/.f64 (sqrt.f64 3/8) x) (/.f64 -1/2 x))
(+.f64 (pow.f64 (/.f64 (sqrt.f64 3/8) x) 2) (/.f64 -1/2 x))
(+.f64 (/.f64 -1/2 x) (pow.f64 (/.f64 (sqrt.f64 3/8) x) 2))
(fma.f64 (cbrt.f64 (/.f64 9/64 (pow.f64 x 4))) (cbrt.f64 (*.f64 3/8 (pow.f64 x -2))) (/.f64 -1/2 x))
(fma.f64 (cbrt.f64 (*.f64 3/8 (pow.f64 x -2))) (cbrt.f64 (/.f64 9/64 (pow.f64 x 4))) (/.f64 -1/2 x))

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (+.f64 x 1))
✓	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
✓	0.3b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
✓	3.4b	(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))

Compiler

Compiled 61 to 47 computations (23% saved)

series30.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
1.0ms	x	@	0	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
1.0ms	x	@	inf	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
1.0ms	x	@	-inf	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
0.0ms	x	@	inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))

rewrite139.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`associate-/r/`
1476×	`associate-/l*`
344×	`add-sqr-sqrt`
330×	`*-un-lft-identity`
326×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	118
1	332	88
2	4868	88

Stop Event

1×	node limit

Counts

4 → 331

Calls

Call 1

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

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

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1598×	`associate-r`
1350×	`associate-l`
1002×	`*-commutative`
918×	`associate-*l/`
890×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	958	23183
1	2945	22805

Stop Event

1×	node limit

Counts

379 → 599

Calls

Call 1

Inputs
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1)
(-.f64 (+.f64 (/.f64 1 x) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) x)) 1)
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (.f64 3/8 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(-.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (pow.f64 x -1/2) 1) x)) (+.f64 (.f64 (-.f64 (.f64 5/16 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 1 (pow.f64 x -1/2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))) (+.f64 1 (pow.f64 x -1/2)))) (.f64 3/8 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))))) (+.f64 (pow.f64 x -1/2) 1))) (+.f64 (.f64 3/8 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))))) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)) (+.f64 (.f64 3/8 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (.f64 -1/2 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))) (+.f64 (pow.f64 x -1/2) 1))))) x) (.f64 1/2 (/.f64 1 (*.f64 (+.f64 1 (pow.f64 x -1/2)) (+.f64 (pow.f64 x -1/2) 1))))))) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1)))
(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5))))) (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))
(-.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 3/16 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 5))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 1/2 (sqrt.f64 x)) (+.f64 (.f64 3/32 (sqrt.f64 x)) (.f64 -1/4 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x)))))) (pow.f64 x 5))) (+.f64 (.f64 -5/64 (sqrt.f64 (/.f64 1 (pow.f64 x 9)))) (+.f64 (.f64 -1/4 (/.f64 (-.f64 (.f64 -1/2 (sqrt.f64 x)) (.f64 -1/8 (sqrt.f64 x))) (pow.f64 x 4))) (*.f64 3/32 (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))))
(/.f64 1/2 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))
(-.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2)))) (.f64 5/16 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 4))))) (+.f64 (.f64 3/8 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3)))) (.f64 35/128 (/.f64 1 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 5))))))
(+.f64 1 (pow.f64 x -1/2))
(+.f64 (*.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) 1))
(+.f64 (.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (.f64 3/8 (pow.f64 x 2)))))
(+.f64 (.f64 -1/2 x) (+.f64 (pow.f64 x -1/2) (+.f64 1 (+.f64 (.f64 3/8 (pow.f64 x 2)) (*.f64 -5/16 (pow.f64 x 3))))))
(*.f64 2 (sqrt.f64 (/.f64 1 x)))
(+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 2 (sqrt.f64 (/.f64 1 x))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (*.f64 2 (sqrt.f64 (/.f64 1 x)))))
(+.f64 (.f64 3/8 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 -5/16 (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (.f64 2 (sqrt.f64 (/.f64 1 x))))))
(.f64 2 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))))
(+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))
(+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x))))
(+.f64 (.f64 3/8 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 2))) (+.f64 (.f64 -5/16 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (pow.f64 x 3))) (+.f64 (.f64 2 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))))) (.f64 -1/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) x)))))
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) 1)
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(-.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))
(-.f64 (/.f64 1 x) (-.f64 (/.f64 1 (+.f64 1 x)) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))) (-.f64 1 (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) (-.f64 1 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (/.f64 1 (-.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (-.f64 1 (*.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 x))) (+.f64 1 (/.f64 1 (+.f64 1 x))))
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (/.f64 (pow.f64 (/.f64 1 (-.f64 -1 x)) 2) (-.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))
(-.f64 (/.f64 (pow.f64 x -2) (-.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (-.f64 (/.f64 (pow.f64 (/.f64 1 (-.f64 -1 x)) 2) (-.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (fma.f64 (neg.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 (+.f64 1 x) -1/2) (/.f64 1 (+.f64 1 x)))))
(-.f64 (+.f64 (/.f64 1 x) (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x))))) 1)
(-.f64 (+.f64 (/.f64 1 (-.f64 -1 x)) (exp.f64 (log1p.f64 (/.f64 1 x)))) 1)
(*.f64 1 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))))
(*.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) 1)
(*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))))
(*.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) 2))
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(pow.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(fma.f64 1 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 1 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2))
(fma.f64 (pow.f64 x -1/4) (pow.f64 x -1/4) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (pow.f64 (+.f64 1 x) -1/4) (pow.f64 (+.f64 1 x) -1/4) (pow.f64 x -1/2))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -1/2)) (pow.f64 (+.f64 1 x) -1/2))
(fma.f64 (cbrt.f64 (/.f64 1 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -1/2)) (pow.f64 x -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 -1 x)))
(*.f64 -1 (/.f64 1 (+.f64 1 x)))
(*.f64 (/.f64 1 (-.f64 -1 x)) 1)
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) (/.f64 1 (sqrt.f64 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 x))) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 x))) 2) (cbrt.f64 (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 1 (+.f64 1 x)) -1)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 x))) (/.f64 -1 (sqrt.f64 (+.f64 1 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (/.f64 1 (-.f64 -1 x))))
(*.f64 (/.f64 -1 (fma.f64 x x -1)) (+.f64 x -1))
(*.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))
(.f64 (/.f64 1 (fma.f64 x x -1)) (.f64 -1 (+.f64 x -1)))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (.f64 -1 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 1 (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))
(*.f64 (/.f64 1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))
(*.f64 (/.f64 -1 (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1)))
(*.f64 (/.f64 -1 (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))
(.f64 (/.f64 -1 (-.f64 1 (.f64 x x))) (-.f64 1 x))
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 -1 (sqrt.f64 (+.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))
(*.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))
(pow.f64 (/.f64 1 (-.f64 -1 x)) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (-.f64 -1 x))) 3)
(pow.f64 (-.f64 -1 x) -1)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)) 1/3)
(neg.f64 (/.f64 1 (+.f64 1 x)))
(sqrt.f64 (pow.f64 (/.f64 1 (-.f64 -1 x)) 2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 -1 x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 -1 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 -1 x))))
(exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 -1) (log1p.f64 x)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 -1 x))))

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

localize21.0ms (0.2%)

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))))
✓	15.5b	(pow.f64 (fma.f64 x x x) -1/2)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series5.0ms (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	@	-inf	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
0.0ms	x	@	inf	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))

rewrite84.0ms (0.8%)

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)))))))

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((#(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 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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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(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)))))))

simplify85.0ms (0.8%)

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

eval869.0ms (7.8%)

Compiler: Compiled 48105 to 35277 computations (26.7% saved)

prune452.0ms (4.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1675	14	1689
Fresh	16	12	28
Picked	1	0	1
Done	3	2	5
Total	1695	28	1723

Error

Counts

1723 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
	29.9b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (neg.f64 (sqrt.f64 x)))) 2)
▶	34.3b	(pow.f64 x -1/2)
▶	5.3b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	50.0b	(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 x))
	29.9b	(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
	5.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	34.5b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	29.2b	(/.f64 (/.f64 1/2 x) (sqrt.f64 x))
	29.7b	(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
	49.2b	(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
▶	50.0b	(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
▶	20.7b	(/.f64 (-.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
	44.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
	30.2b	(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
	50.1b	(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
	29.7b	(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
	20.7b	(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
	34.4b	(/.f64 1 (sqrt.f64 x))
	20.7b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
▶	33.3b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	23.3b	(-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	34.7b	(-.f64 (pow.f64 x -1/2) 1)
	34.1b	(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
	29.8b	(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
	39.9b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	34.3b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 696 to 547 computations (21.4% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x 1) -1/2)
	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
✓	0.1b	(/.f64 (/.f64 1 x) (+.f64 1 x))
✓	5.2b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))

Compiler

Compiled 54 to 40 computations (25.9% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1430×	`associate-/l/`
1050×	`distribute-rgt-in`
1006×	`distribute-lft-in`
310×	`add-sqr-sqrt`
296×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	81
1	313	81
2	4526	81

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

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

Outputs

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

simplify120.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

932×	`+-commutative`
868×	`associate-+r+`
824×	`associate-+l+`
666×	`fma-def`
664×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	524	10684
1	1605	9478
2	6209	9470

Stop Event

1×	node limit

Counts

162 → 273

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x -1/2)
✓	0.0b	(/.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓	0.0b	(-.f64 (pow.f64 x -1/2) (/.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 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
0.0ms	x	@	0	(-.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))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 (*.f64 1/2 x) 1))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`associate-*r/`
968×	`*-commutative`
716×	`associate-*l/`
512×	`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 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 1 (+.f64 (*.f64 1/2 x) 1))

Outputs

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

simplify113.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1716×	`associate-*l/`
1216×	`associate-+r+`
1192×	`associate-+l+`
1016×	`+-commutative`
624×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	439	9954
1	1311	9144
2	5003	8884

Stop Event

1×	node limit

Counts

168 → 281

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 3/8 x) 1/2)
✓	0.1b	(/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)
✓	0.1b	(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
✓	3.4b	(-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))

Compiler

Compiled 56 to 42 computations (25% saved)

series3.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
0.0ms	x	@	-inf	(-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
0.0ms	x	@	inf	(-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
0.0ms	x	@	0	(/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1136×	`distribute-lft-in`
1070×	`associate-/l/`
894×	`associate-/r/`
330×	`add-sqr-sqrt`
314×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	325	88
2	4591	88

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 1 (.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 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x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))))))
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simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1416×	`associate-r`
1014×	`associate-l`
896×	`distribute-lft-in`
856×	`associate-/l*`
814×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	634	13503
1	1888	12333

Stop Event

1×	node limit

Counts

311 → 408

Calls

Call 1

Inputs
(/.f64 -3/8 (pow.f64 x 2))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(/.f64 3/8 (pow.f64 x 2))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(/.f64 -1/2 x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(/.f64 3/8 x)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
-1/2
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
-1/2
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 1 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(+.f64 1 (*.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1))
(+.f64 1 (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1))
(+.f64 1 (-.f64 (*.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 1))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 1))
(+.f64 1 (.f64 1 (.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1)))
(+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 0)
(+.f64 0 (neg.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(+.f64 0 (*.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(+.f64 0 (*.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)))
(+.f64 0 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))))
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))))
(+.f64 0 (.f64 1 (.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))))
(+.f64 0 (.f64 1 (.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x))))
(+.f64 0 (.f64 1 (.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))))
(+.f64 0 (.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))))
(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) -1)
(+.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1)
(+.f64 (/.f64 1/2 x) (-.f64 0 (/.f64 3/8 (*.f64 x x))))
(+.f64 (-.f64 0 (/.f64 3/8 (*.f64 x x))) (/.f64 1/2 x))
(+.f64 (-.f64 1 (/.f64 3/8 (*.f64 x x))) (-.f64 (/.f64 1/2 x) 1))
(+.f64 (*.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1) 1)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 0)
(+.f64 (*.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)) 0)
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 0)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 0)
(+.f64 (+.f64 0 (-.f64 0 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x))
(+.f64 (-.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x) 2)) 1)
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(.f64 (/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8) (+.f64 (pow.f64 (/.f64 9/64 (.f64 x x)) 3) (pow.f64 (+.f64 1/4 (/.f64 3/16 x)) 3))) (+.f64 (.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x))) (-.f64 (.f64 (+.f64 1/4 (/.f64 3/16 x)) (+.f64 1/4 (/.f64 3/16 x))) (.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))))))
(/.f64 1 (/.f64 1 (+.f64 (/.f64 3/8 x) -1/2)))
(/.f64 1 (/.f64 (+.f64 (/.f64 3/8 x) 1/2) (+.f64 (/.f64 9/64 (*.f64 x x)) -1/4)))
(/.f64 1 (/.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))) (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8)))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) 1)
(/.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) -1/4) (+.f64 (/.f64 3/8 x) 1/2))
(/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8) (+.f64 (/.f64 9/64 (*.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))))
(/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8) (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (.f64 (/.f64 3/8 x) -1/2))))
(/.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8) (.f64 1 (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (*.f64 (/.f64 3/8 x) -1/2)))))
(/.f64 (neg.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) -1/4)) (neg.f64 (+.f64 (/.f64 3/8 x) 1/2)))
(/.f64 (neg.f64 (+.f64 (/.f64 9/64 (.f64 x x)) -1/4)) (.f64 1 (neg.f64 (+.f64 (/.f64 3/8 x) 1/2))))
(/.f64 (neg.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8)) (neg.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) (+.f64 1/4 (/.f64 3/16 x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8)) (.f64 1 (neg.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))))))
(/.f64 (-.f64 (.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x))) 1/16) (.f64 (+.f64 (/.f64 3/8 x) 1/2) (+.f64 (/.f64 9/64 (*.f64 x x)) 1/4)))
(/.f64 (-.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) 1/64) (.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))) (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) 1/64) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (.f64 (/.f64 3/8 x) -1/2))) (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 9/64 (.f64 x x)) 3) 1/64) (.f64 (+.f64 (/.f64 3/8 x) 1/2) (+.f64 (.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x))) (+.f64 1/16 (.f64 (/.f64 9/64 (*.f64 x x)) 1/4)))))
(/.f64 (-.f64 (pow.f64 (/.f64 27/512 (pow.f64 x 3)) 3) 1/512) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))) (+.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) (+.f64 1/64 (.f64 (/.f64 27/512 (pow.f64 x 3)) 1/8)))))
(/.f64 (-.f64 (pow.f64 (/.f64 27/512 (pow.f64 x 3)) 3) 1/512) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (.f64 (/.f64 3/8 x) -1/2))) (+.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) (+.f64 1/64 (*.f64 (/.f64 27/512 (pow.f64 x 3)) 1/8)))))
(pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 3/8 x) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 3/8 x) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 3/8 x) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 3))
(expm1.f64 (log.f64 (+.f64 (/.f64 3/8 x) 1/2)))
(exp.f64 (log.f64 (+.f64 (/.f64 3/8 x) -1/2)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 3/8 x) -1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 3/8 x) -1/2)))
(fma.f64 1 (/.f64 3/8 x) -1/2)
(fma.f64 3/8 (/.f64 1 x) -1/2)
(fma.f64 (sqrt.f64 (/.f64 3/8 x)) (sqrt.f64 (/.f64 3/8 x)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 x)) 2) (cbrt.f64 (/.f64 3/8 x)) -1/2)

Outputs
(/.f64 -3/8 (pow.f64 x 2))
(/.f64 -3/8 (*.f64 x x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(/.f64 1/2 x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 3/8 (/.f64 1 (pow.f64 x 2))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(/.f64 3/8 (pow.f64 x 2))
(/.f64 3/8 (*.f64 x x))
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(/.f64 -1/2 x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(/.f64 -1/2 x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(-.f64 (.f64 3/8 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 -1/2 x))
(/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)
(/.f64 3/8 x)
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
-1/2
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
-1/2
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(-.f64 (*.f64 3/8 (/.f64 1 x)) 1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(+.f64 1 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 1 (*.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 1 (-.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 1 (-.f64 (*.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)) 1))
(+.f64 1 (fma.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x) -1))
(*.f64 (/.f64 1 x) (-.f64 1/2 (/.f64 3/8 x)))
(+.f64 1 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 1))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 1))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 1 (.f64 1 (.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1)))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 0)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (neg.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (*.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (*.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)))
(+.f64 1 (fma.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x) -1))
(*.f64 (/.f64 1 x) (-.f64 1/2 (/.f64 3/8 x)))
(+.f64 0 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (.f64 1 (.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (.f64 1 (.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x))))
(+.f64 1 (fma.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x) -1))
(*.f64 (/.f64 1 x) (-.f64 1/2 (/.f64 3/8 x)))
(+.f64 0 (.f64 1 (.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 0 (.f64 1 (.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (-.f64 1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) -1)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (/.f64 1/2 x) (-.f64 0 (/.f64 3/8 (*.f64 x x))))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (-.f64 0 (/.f64 3/8 (*.f64 x x))) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (-.f64 1 (/.f64 3/8 (*.f64 x x))) (-.f64 (/.f64 1/2 x) 1))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (*.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 1) 1)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (*.f64 -1 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 0)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (*.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x)) 0)
(+.f64 1 (fma.f64 (-.f64 1/2 (/.f64 3/8 x)) (/.f64 1 x) -1))
(*.f64 (/.f64 1 x) (-.f64 1/2 (/.f64 3/8 x)))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) (sqrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 0)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x))) 0)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (+.f64 0 (-.f64 0 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (-.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 3/8 x) -1/2) x) 2)) 1)
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x)
(+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x)))
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(/.f64 (-.f64 1/8 (/.f64 27/512 (pow.f64 x 3))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 3/16 x) (/.f64 9/64 (*.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 27/512 (pow.f64 x 3)) -1/8)) (.f64 1 (neg.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))))))
(/.f64 (+.f64 (neg.f64 (/.f64 27/512 (pow.f64 x 3))) 1/8) (neg.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) (+.f64 1/4 (/.f64 3/16 x)))))
(/.f64 (-.f64 1/8 (/.f64 27/512 (pow.f64 x 3))) (neg.f64 (+.f64 1/4 (+.f64 (/.f64 3/16 x) (/.f64 9/64 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x))) 1/16) (.f64 (+.f64 (/.f64 3/8 x) 1/2) (+.f64 (/.f64 9/64 (*.f64 x x)) 1/4)))
(/.f64 (fma.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x)) -1/16) (.f64 (+.f64 1/2 (/.f64 3/8 x)) (+.f64 1/4 (/.f64 9/64 (.f64 x x)))))
(/.f64 (+.f64 (/.f64 (/.f64 81/4096 (.f64 x x)) (.f64 x x)) -1/16) (.f64 (+.f64 1/2 (/.f64 3/8 x)) (+.f64 1/4 (/.f64 9/64 (.f64 x x)))))
(/.f64 (-.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) 1/64) (.f64 (+.f64 (/.f64 9/64 (*.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))) (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3)))))
(/.f64 (fma.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3)) -1/64) (.f64 (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3))) (+.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x)))))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 729/262144 (pow.f64 x 3)) (pow.f64 x 3)) -1/64) (+.f64 1/4 (+.f64 (/.f64 3/16 x) (/.f64 9/64 (*.f64 x x))))) (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3))))
(/.f64 (-.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) 1/64) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (.f64 (/.f64 3/8 x) -1/2))) (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3)))))
(/.f64 (fma.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3)) -1/64) (.f64 (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3))) (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (/.f64 -3/16 x)))))
(/.f64 (+.f64 (/.f64 (/.f64 729/262144 (pow.f64 x 3)) (pow.f64 x 3)) -1/64) (.f64 (+.f64 1/8 (/.f64 27/512 (pow.f64 x 3))) (-.f64 1/4 (-.f64 (/.f64 -3/16 x) (/.f64 9/64 (.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 9/64 (.f64 x x)) 3) 1/64) (.f64 (+.f64 (/.f64 3/8 x) 1/2) (+.f64 (.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x))) (+.f64 1/16 (.f64 (/.f64 9/64 (*.f64 x x)) 1/4)))))
(/.f64 (+.f64 (/.f64 729/262144 (pow.f64 (.f64 x x) 3)) -1/64) (.f64 (+.f64 1/2 (/.f64 3/8 x)) (fma.f64 (/.f64 9/64 (.f64 x x)) (/.f64 9/64 (.f64 x x)) (+.f64 1/16 (/.f64 9/256 (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 729/262144 (pow.f64 (.f64 x x) 3)) -1/64) (.f64 (+.f64 1/2 (/.f64 3/8 x)) (+.f64 (/.f64 (/.f64 81/4096 (.f64 x x)) (.f64 x x)) (+.f64 1/16 (/.f64 9/256 (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 27/512 (pow.f64 x 3)) 3) 1/512) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))) (+.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) (+.f64 1/64 (.f64 (/.f64 27/512 (pow.f64 x 3)) 1/8)))))
(/.f64 (+.f64 (pow.f64 (/.f64 27/512 (pow.f64 x 3)) 3) -1/512) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (+.f64 1/4 (/.f64 3/16 x))) (fma.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3)) (+.f64 1/64 (/.f64 27/4096 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (/.f64 19683/134217728 (pow.f64 (pow.f64 x 3) 3)) -1/512) (+.f64 (/.f64 (/.f64 729/262144 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 1/64 (/.f64 27/4096 (pow.f64 x 3))))) (+.f64 1/4 (+.f64 (/.f64 3/16 x) (/.f64 9/64 (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 27/512 (pow.f64 x 3)) 3) 1/512) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (.f64 (/.f64 3/8 x) -1/2))) (+.f64 (.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3))) (+.f64 1/64 (*.f64 (/.f64 27/512 (pow.f64 x 3)) 1/8)))))
(/.f64 (+.f64 (pow.f64 (/.f64 27/512 (pow.f64 x 3)) 3) -1/512) (.f64 (+.f64 (/.f64 9/64 (.f64 x x)) (-.f64 1/4 (/.f64 -3/16 x))) (fma.f64 (/.f64 27/512 (pow.f64 x 3)) (/.f64 27/512 (pow.f64 x 3)) (+.f64 1/64 (/.f64 27/4096 (pow.f64 x 3))))))
(/.f64 (/.f64 (+.f64 (/.f64 19683/134217728 (pow.f64 (pow.f64 x 3) 3)) -1/512) (+.f64 (/.f64 (/.f64 729/262144 (pow.f64 x 3)) (pow.f64 x 3)) (+.f64 1/64 (/.f64 27/4096 (pow.f64 x 3))))) (-.f64 1/4 (-.f64 (/.f64 -3/16 x) (/.f64 9/64 (*.f64 x x)))))
(pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 1)
(+.f64 -1/2 (/.f64 3/8 x))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 3/8 x) -1/2)) 2)
(+.f64 -1/2 (/.f64 3/8 x))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 3/8 x) -1/2)) 3)
(+.f64 -1/2 (/.f64 3/8 x))
(pow.f64 (pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 3) 1/3)
(+.f64 -1/2 (/.f64 3/8 x))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 2))
(sqrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 3/8 x)) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 3/8 x) -1/2)))
(+.f64 -1/2 (/.f64 3/8 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 3/8 x) -1/2))))
(+.f64 -1/2 (/.f64 3/8 x))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 3/8 x) -1/2) 3))
(+.f64 -1/2 (/.f64 3/8 x))
(expm1.f64 (log.f64 (+.f64 (/.f64 3/8 x) 1/2)))
(expm1.f64 (log.f64 (+.f64 1/2 (/.f64 3/8 x))))
(exp.f64 (log.f64 (+.f64 (/.f64 3/8 x) -1/2)))
(+.f64 -1/2 (/.f64 3/8 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 3/8 x) -1/2)) 1))
(+.f64 -1/2 (/.f64 3/8 x))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 3/8 x) -1/2)))
(+.f64 -1/2 (/.f64 3/8 x))
(fma.f64 1 (/.f64 3/8 x) -1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(fma.f64 3/8 (/.f64 1 x) -1/2)
(+.f64 -1/2 (/.f64 3/8 x))
(fma.f64 (sqrt.f64 (/.f64 3/8 x)) (sqrt.f64 (/.f64 3/8 x)) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 3/8 x)) 2) (cbrt.f64 (/.f64 3/8 x)) -1/2)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 1 x))
✓	0.2b	(/.f64 (-.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
✓	3.4b	(-.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))

Compiler

Compiled 38 to 25 computations (34.2% saved)

series2.0ms (0%)

Counts

3 → 21

Calls

9 calls:

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

rewrite108.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

814×	`associate-/r/`
720×	`distribute-rgt-in`
690×	`associate-/l/`
668×	`distribute-lft-in`
508×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	241	69
2	3460	69

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1026×	`associate-+l+`
1024×	`associate-+r+`
780×	`+-commutative`
710×	`associate-r`
620×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	7850
1	1414	7476
2	6304	7476

Stop Event

1×	node limit

Counts

204 → 284

Calls

Call 1

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

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

eval730.0ms (6.6%)

Compiler: Compiled 42003 to 32289 computations (23.1% saved)

prune360.0ms (3.2%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1434	6	1440
Fresh	4	17	21
Picked	0	1	1
Done	0	6	6
Total	1438	30	1468

Error

Counts

1468 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	30.2b	(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
	29.9b	(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (neg.f64 (sqrt.f64 x)))) 2)
✓	34.3b	(pow.f64 x -1/2)
✓	5.3b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	29.8b	(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
	29.7b	(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
	5.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	34.5b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
	29.2b	(/.f64 (/.f64 1/2 x) (sqrt.f64 x))
	29.7b	(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
	49.2b	(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
✓	50.0b	(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
	50.1b	(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
✓	20.7b	(/.f64 (-.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
	44.9b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
	30.2b	(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
	50.1b	(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
	30.0b	(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
	29.7b	(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
	20.7b	(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
	34.4b	(/.f64 1 (sqrt.f64 x))
	20.7b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))
✓	33.3b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	23.5b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	23.3b	(-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	34.7b	(-.f64 (pow.f64 x -1/2) 1)
	34.1b	(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
	30.2b	(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
	39.9b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	34.3b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 370 to 292 computations (21.1% saved)

regimes64.0ms (0.6%)

Counts

75 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 1174 to 810 computations (31% saved)

regimes86.0ms (0.8%)

Counts

67 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.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 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 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 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (-.f64 1 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.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 (/.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 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
(-.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))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (neg.f64 (sqrt.f64 x)))) 2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 35/128 (pow.f64 x 4))))) (sqrt.f64 x))
(/.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))
(/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

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

Calls

2 calls:

49.0ms	x
17.0ms	(-.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 978 to 690 computations (29.4% saved)

bsearch2.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
2.0ms	4950040840316710.0	36271897126568063000.0

Results

2.0ms

16×

body

256

valid

Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes85.0ms (0.8%)

Counts

66 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.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 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 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 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (-.f64 1 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.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 (/.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 (-.f64 1 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))) (sqrt.f64 x))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
(-.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))))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) (neg.f64 (sqrt.f64 x)))) 2)
(*.f64 (pow.f64 (+.f64 1 x) -1/2) (+.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) -1))
(/.f64 (/.f64 (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) x)) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 x))
(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 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 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (+.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 35/128 (pow.f64 x 4))))) (sqrt.f64 x))
(/.f64 (/.f64 2 (pow.f64 x 3)) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 1 x)))))

Outputs

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

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

Calls

2 calls:

48.0ms	x
17.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 964 to 682 computations (29.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.59006344077523e-7	0.004547016354646494

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes62.0ms (0.6%)

Counts

49 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.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 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 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 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (-.f64 1 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

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

Calls

2 calls:

37.0ms	x
12.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 645 to 466 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.59006344077523e-7	0.004547016354646494

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes61.0ms (0.6%)

Counts

48 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.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 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 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 (+.f64 1 x))) (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (/.f64 x (+.f64 1 x))))) (-.f64 1 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))

Outputs
(/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 x))
(-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x))))

Calls

2 calls:

35.0ms	x
13.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 622 to 451 computations (27.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.386946799676909e-8	3.2850830782374385e-7

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes54.0ms (0.5%)

Counts

42 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.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 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))

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

Calls

2 calls:

31.0ms	x
12.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

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

Compiler

Compiled 507 to 369 computations (27.2% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	2.556100853742929e+62	3.6903225452241134e+63

Results

13.0ms

80×

body

512

valid

Compiler

Compiled 181 to 138 computations (23.8% saved)

regimes52.0ms (0.5%)

Counts

40 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
(-.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 (sqrt.f64 (/.f64 x (+.f64 1 x)))) (sqrt.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))))
(/.f64 1 (/.f64 1 (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))))
(pow.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1)
(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))

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

Calls

2 calls:

31.0ms	x
12.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.4b	2	`x`
0.4b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 473 to 345 computations (27.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4770058745939424e-9	2.386946799676909e-8

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes31.0ms (0.3%)

Counts

30 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.4b	2	`x`

Compiler

Compiled 343 to 247 computations (28% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
11.0ms	75988.63657429429	485726.0630081499

Results

9.0ms

96×

body

256

valid

Compiler

Compiled 166 to 133 computations (19.9% saved)

regimes29.0ms (0.3%)

Counts

27 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)
(/.f64 (-.f64 (/.f64 1/2 x) (/.f64 3/8 (*.f64 x x))) (sqrt.f64 x))
(/.f64 (+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) -1) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x))) (sqrt.f64 x))
(/.f64 (/.f64 (/.f64 1 x) (+.f64 1 x)) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (+.f64 (-.f64 1 (+.f64 1 (/.f64 3/8 (*.f64 x x)))) (/.f64 1/2 x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1))) (*.f64 2 (sqrt.f64 (/.f64 1 x))))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (/.f64 3/8 (*.f64 x x)) (/.f64 1/2 x)))) (sqrt.f64 x))
(/.f64 (-.f64 1 (+.f64 1 (-.f64 (+.f64 1 (/.f64 3/8 (*.f64 x x))) (+.f64 (/.f64 1/2 x) 1)))) (sqrt.f64 x))
(/.f64 (/.f64 (-.f64 1 (*.f64 (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (-.f64 -1 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))) (+.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x) 2)) (sqrt.f64 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 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x)

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
1.2b	2	`x`

Compiler

Compiled 315 to 226 computations (28.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.15686454911424177	2.958229797445186

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 205 to 167 computations (18.5% saved)

regimes18.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))
(/.f64 (+.f64 (/.f64 3/8 x) -1/2) (*.f64 (neg.f64 (sqrt.f64 x)) x))
(/.f64 (/.f64 (neg.f64 (+.f64 -1/2 (/.f64 3/8 x))) x) (sqrt.f64 x))
(*.f64 (pow.f64 x -1/2) (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)))
(-.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 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x))

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.2b	2	`x`

Compiler

Compiled 139 to 99 computations (28.8% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.15686454911424177	2.958229797445186

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 198 to 160 computations (19.2% saved)

regimes13.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))

Outputs
(-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.7b	2	`x`

Compiler

Compiled 82 to 60 computations (26.8% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.15686454911424177	2.958229797445186

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 198 to 167 computations (15.7% saved)

regimes13.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
(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 (/.f64 1/2 x) (sqrt.f64 x))
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
(/.f64 (-.f64 1 (-.f64 1 (/.f64 1/2 x))) (sqrt.f64 x))
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))

Outputs
(-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1)
(-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.7b	2	`x`

Compiler

Compiled 71 to 51 computations (28.2% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.15686454911424177	2.958229797445186

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 184 to 153 computations (16.8% saved)

regimes11.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
1.9b	2	`x`

Compiler

Compiled 60 to 42 computations (30% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.15686454911424177	2.958229797445186

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 149 to 118 computations (20.8% saved)

regimes10.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
2.0b	2	`x`

Compiler

Compiled 31 to 21 computations (32.3% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.15686454911424177	2.958229797445186

Results

11.0ms

112×

body

256

valid

Compiler

Compiled 121 to 97 computations (19.8% saved)

regimes5.0ms (0%)

Accuracy

Total -1.3b remaining (-3.9%)

Threshold costs -1.3b (-3.9%)

Counts

5 → 1

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
34.3b	1	`x`

Compiler

Compiled 25 to 18 computations (28% saved)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

80×	`+-commutative`
50×	`sub-neg`
44×	`*-commutative`
30×	`neg-mul-1`
28×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	124	1225
1	183	1193
2	236	1193
3	265	1193
4	279	1193
5	281	1193

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(if (<=.f64 x 5000000000000000) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4722366482869645/4722366482869645213696) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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)))) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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)))) 3022314549036573/75557863725914323419136) (/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 x)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 x 1000000000000000057857959942726969827393378689175040438172647424) (/.f64 (/.f64 1 (+.f64 x (.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4835703278458517/2417851639229258349412352) (/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 x 215000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (/.f64 (.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x)))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2))))
(if (<=.f64 x 2476979795053773/2251799813685248) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2))))
(if (<=.f64 x 1) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(if (<=.f64 x 6124895493223875/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(pow.f64 x -1/2)

Outputs
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 1 (sqrt.f64 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 (sqrt.f64 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
(if (<=.f64 x 5000000000000000) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))) (/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 5000000000000000) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 5000000000000000) (/.f64 (pow.f64 (fma.f64 x x x) -1/2) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (/.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1/2 (/.f64 3/8 x))) x))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4722366482869645/4722366482869645213696) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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 1 x)))) 4722366482869645/4722366482869645213696) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (-.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 1/8 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 4722366482869645/4722366482869645213696) (/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 1/2 (+.f64 (+.f64 x (/.f64 1/16 (.f64 x x))) (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 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 1 x)))) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 4722366482869645/4722366482869645213696) (/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (+.f64 x (+.f64 1/2 (/.f64 -1/8 x))))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 3022314549036573/75557863725914323419136) (/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 x)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 3022314549036573/75557863725914323419136) (/.f64 (+.f64 (/.f64 1/2 x) (-.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 3/8 (*.f64 x x)))) (sqrt.f64 x)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 3022314549036573/75557863725914323419136) (/.f64 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 5/16 (pow.f64 x 3)) (/.f64 -3/8 (*.f64 x x)))) (sqrt.f64 x)) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 x 1000000000000000057857959942726969827393378689175040438172647424) (/.f64 (/.f64 1 (+.f64 x (.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2))) (/.f64 (.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 1000000000000000057857959942726969827393378689175040438172647424) (/.f64 (/.f64 1 (+.f64 x (.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (neg.f64 (.f64 (pow.f64 x -1/2) (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 1000000000000000057857959942726969827393378689175040438172647424) (/.f64 (/.f64 1 (+.f64 x (.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (/.f64 (.f64 (pow.f64 x -1/2) (-.f64 1/2 (/.f64 3/8 x))) x))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) 4835703278458517/2417851639229258349412352) (/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 (-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 1 x)))) 4835703278458517/2417851639229258349412352) (/.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) (+.f64 -1/2 (/.f64 3/8 x)))) x) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 (+.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 -1 (sqrt.f64 (+.f64 1 x)))) 4835703278458517/2417851639229258349412352) (/.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1/2 (/.f64 3/8 x))) x) (-.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 1 (+.f64 1 x)))))
(if (<=.f64 x 215000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (*.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 215000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (neg.f64 (*.f64 (pow.f64 x -1/2) (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 215000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (*.f64 (pow.f64 x -1/2) (-.f64 1/2 (/.f64 3/8 x))) x))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (.f64 1/2 x) 1))) (/.f64 (.f64 (pow.f64 x -1/2) (neg.f64 (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (.f64 x 1/2)))) (/.f64 (neg.f64 (.f64 (pow.f64 x -1/2) (+.f64 -1/2 (/.f64 3/8 x)))) x))
(if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 1 (.f64 x 1/2)))) (/.f64 (.f64 (pow.f64 x -1/2) (-.f64 1/2 (/.f64 3/8 x))) x))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 3/8 x) 1/2) x)) (sqrt.f64 x)))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (*.f64 x 1/2)))) (/.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 3/8 x))) x) (sqrt.f64 x)))
(if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 1 (*.f64 x 1/2)))) (/.f64 (/.f64 (-.f64 1/2 (/.f64 3/8 x)) x) (sqrt.f64 x)))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 (*.f64 1/2 x) 1))) (-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2))))
(if (<=.f64 x 6530219459687219/4503599627370496) (-.f64 (pow.f64 x -1/2) (/.f64 1 (+.f64 1 (*.f64 x 1/2)))) (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2))))
(if (<=.f64 x 6530219459687219/4503599627370496) (+.f64 (pow.f64 x -1/2) (/.f64 -1 (+.f64 1 (*.f64 x 1/2)))) (/.f64 (-.f64 1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(if (<=.f64 x 2476979795053773/2251799813685248) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (-.f64 0 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2))))
(if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2)) -1) (neg.f64 (/.f64 (+.f64 -1/2 (/.f64 3/8 x)) (pow.f64 x 3/2))))
(if (<=.f64 x 2476979795053773/2251799813685248) (+.f64 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2)) -1) (/.f64 (-.f64 1/2 (/.f64 3/8 x)) (pow.f64 x 3/2)))
(if (<=.f64 x 1) (-.f64 (+.f64 (*.f64 1/2 x) (pow.f64 x -1/2)) 1) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(if (<=.f64 x 1) (+.f64 (+.f64 (pow.f64 x -1/2) (*.f64 x 1/2)) -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(if (<=.f64 x 6124895493223875/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(if (<=.f64 x 6124895493223875/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (/.f64 (/.f64 1/2 x) (sqrt.f64 x)))
(pow.f64 x -1/2)

Compiler

Compiled 436 to 332 computations (23.9% saved)

soundness283.0ms (2.5%)

Algorithm

4×	egg-herbie

Rules

1586×	`associate-/r/`
1416×	`associate-r`
1408×	`associate-+r-`
1014×	`associate-l`
972×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	532	7429
1	1272	7101
2	4799	7077
0	635	14195
1	1614	13085
2	7597	13085
0	524	8452
1	1398	7734
2	6431	7734
0	634	13503
1	1888	12333

Stop Event

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

Compiler

Compiled 504 to 354 computations (29.8% saved)

end170.0ms (1.5%)

Compiler: Compiled 422 to 306 computations (27.5% 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