Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.6s (15%)

Results

771.0ms	2314×	body	1024	valid
635.0ms	4898×	body	256	valid
198.0ms	1044×	body	512	valid

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

20.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(-.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))
✓	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.2b	(/.f64 1 (sqrt.f64 x))
✓	3.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series10.0ms (0.1%)

Counts

4 → 8

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
1.0ms	x	@	-inf	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	0	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(/.f64 1 (sqrt.f64 x))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))

rewrite136.0ms (1.3%)

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))))))))

simplify216.0ms (2%)

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))
(+.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))))
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(/.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))))
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(+.f64 (fma.f64 -1/2 x 1) (fma.f64 3/8 (.f64 x x) (.f64 -5/16 (pow.f64 x 3))))
1
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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))

eval275.0ms (2.5%)

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

prune83.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	399	17	416
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	400	17	417

Error

6.1b

Counts

417 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	44.6b	(/.f64 (-.f64 (/.f64 (/.f64 1 x) x) (/.f64 (/.f64 1 (+.f64 1 x)) (+.f64 1 x))) (*.f64 (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))
	44.6b	(/.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)))))
▶	20.2b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶	6.3b	(/.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))))
	6.3b	(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
▶	25.5b	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
	20.0b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	23.7b	(-.f64 (pow.f64 x -1/2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	23.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	24.4b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))
	31.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	31.0b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 1 x) 3/2))))
	32.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	23.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (sqrt.f64 (/.f64 1 (+.f64 1 x))))
	31.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (exp.f64 (*.f64 (log1p.f64 x) -1/2)))
▶	33.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) 1)
	23.8b	(-.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 544 to 434 computations (20.2% saved)

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
✓	0.1b	(/.f64 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))))
✓	16.7b	(sqrt.f64 (+.f64 x (*.f64 x x)))

Compiler

Compiled 85 to 35 computations (58.8% saved)

series13.0ms (0.1%)

Counts

4 → 17

Calls

12 calls:

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

rewrite96.0ms (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	110
1	396	88
2	4804	88

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

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

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def`
490×	`+-commutative`
410×	`associate-r`
360×	`associate-+r+`
360×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	457	6924
1	1040	6772
2	4010	6740

Stop Event

1×	node limit

Counts

208 → 317

Calls

Call 1

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

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

localize20.0ms (0.2%)

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)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 1 x) -1/2)
	0.2b	(/.f64 1 (sqrt.f64 x))
✓	10.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series3.0ms (0%)

Counts

2 → 14

Calls

6 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 120

Calls

Call 1

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

Outputs

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

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

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

134 → 230

Calls

Call 1

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

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

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.0b	(/.f64 -1 (+.f64 1 x))
✓	0.3b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
✓	3.0b	(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))

Compiler

Compiled 61 to 47 computations (23% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite143.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 248

Calls

Call 1

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

Outputs

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

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

simplify163.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	761	16792
1	2349	16448

Stop Event

1×	node limit

Counts

284 → 438

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x 1))
	0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	0.4b	(pow.f64 (pow.f64 x 1/4) -2)
✓	17.1b	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 38 to 30 computations (21.1% saved)

series45.0ms (0.4%)

Counts

2 → 18

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(pow.f64 (pow.f64 x 1/4) -2)
14.0ms	x	@	-inf	(pow.f64 (pow.f64 x 1/4) -2)
8.0ms	x	@	inf	(pow.f64 (pow.f64 x 1/4) -2)
0.0ms	x	@	-inf	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(-.f64 (pow.f64 (pow.f64 x 1/4) -2) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite122.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`associate-*r/`
1082×	`*-commutative`
742×	`associate-*l/`
514×	`distribute-lft-in`
504×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	292	32
2	3649	32

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-/r*`
1026×	`associate-*r/`
1010×	`+-commutative`
992×	`associate-+r+`
926×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	348	9118
1	903	8892
2	3661	8880

Stop Event

1×	node limit

Counts

140 → 241

Calls

Call 1

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

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

eval1.3s (11.8%)

Compiler: Compiled 42964 to 32239 computations (25% saved)

prune409.0ms (3.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1484	15	1499
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	1496	20	1516

Error

Counts

1516 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	6.4b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	23.5b	(/.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (.f64 x (-.f64 1 (.f64 x x))))
	6.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	36.3b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶	32.0b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
▶	21.5b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) 1))
▶	0.5b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
▶	29.1b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	0.9b	(/.f64 1 (*.f64 (hypot.f64 x (sqrt.f64 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
	32.0b	(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
	6.3b	(/.f64 1 (.f64 (sqrt.f64 (+.f64 x (.f64 x x))) (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
	20.0b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	33.1b	(-.f64 (pow.f64 x -1/2) 1)
✓	23.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	31.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	32.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	32.6b	(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
	33.2b	(-.f64 (sqrt.f64 (/.f64 1 x)) 1)
	42.0b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
▶	33.3b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 533 to 411 computations (22.9% saved)

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))
✓	0.1b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
✓	0.2b	(*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
✓	0.3b	(.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 120 to 82 computations (31.7% saved)

series9.0ms (0.1%)

Counts

4 → 20

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
2.0ms	x	@	inf	(*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))
1.0ms	x	@	inf	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 (.f64 (pow.f64 x 1/4) (*.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.0ms	x	@	-inf	(/.f64 1 (.f64 (pow.f64 x 1/4) (.f64 (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1)))))

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1374×	`associate-/l*`
880×	`associate-/r/`
368×	`add-sqr-sqrt`
358×	`*-un-lft-identity`
356×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	166
1	468	110
2	5155	108

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

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

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 (pow.f64 x 1/4) (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 x) (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 (pow.f64 x -1/4) (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 x) (+.f64 x 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) -1/2) (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/4) (/.f64 -1 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (sqrt.f64 (.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (cbrt.f64 (sqrt.f64 (.f64 x (+.f64 x 1))))) (cbrt.f64 (.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (+.f64 x 1))) (pow.f64 x -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1 (hypot.f64 1 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 -1 (neg.f64 (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 (pow.f64 x -1/4) (pow.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x 1) 1/4) (/.f64 (pow.f64 x -1/4) (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x 1)))) (pow.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x 1)))) (/.f64 (pow.f64 x -1/4) (pow.f64 (+.f64 x 1) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x 1)))) (/.f64 -1 (neg.f64 (sqrt.f64 (sqrt.f64 (.f64 x (+.f64 x 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/8) (/.f64 (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 x) (+.f64 x 1)))) (pow.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/8) (/.f64 (pow.f64 x -1/4) (.f64 (pow.f64 x 1/8) (hypot.f64 1 (sqrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/8) (/.f64 1 (.f64 (pow.f64 x 1/8) (sqrt.f64 (.f64 (sqrt.f64 x) (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/8) (/.f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 x))) (.f64 (pow.f64 x 1/8) (pow.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x 1/8) (/.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) -1/2) (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/8)) (/.f64 (pow.f64 x -1/4) (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/8)) (/.f64 1 (.f64 (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/8)) (pow.f64 x 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 x 1/8)) (/.f64 (pow.f64 (sqrt.f64 (.f64 x (+.f64 x 1))) -1/2) (pow.f64 x 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 x 1)) (/.f64 (pow.f64 x -1/4) (.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) (pow.f64 x 1/4))))))) 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simplify141.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

880×	`associate-r`
730×	`associate-/l*`
650×	`associate-/r*`
640×	`associate-l`
586×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	566	10316
1	1499	8868
2	7111	8866

Stop Event

1×	node limit

Counts

222 → 390

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

26 → 29

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 18 computations (25% saved)

series29.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
1.0ms	x	@	-inf	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
1.0ms	x	@	inf	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
0.0ms	x	@	-inf	(+.f64 1 (pow.f64 x -1/2))
0.0ms	x	@	0	(+.f64 1 (pow.f64 x -1/2))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`add-sqr-sqrt`
1974×	`*-un-lft-identity`
1860×	`add-cube-cbrt`
1842×	`add-cbrt-cube`
192×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	203	38
2	2705	38

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-/l*`
1360×	`associate-/r*`
1260×	`associate-*r/`
988×	`unswap-sqr`
750×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	2622
1	442	2368
2	1683	2216

Stop Event

1×	node limit

Counts

90 → 105

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x -1/2) 1)
	0.0b	(/.f64 -1 (+.f64 1 x))
✓	0.3b	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) 1))
	3.0b	(+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))

Compiler

Compiled 48 to 37 computations (22.9% saved)

series37.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	-inf	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) 1))
0.0ms	x	@	inf	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) 1))
0.0ms	x	@	0	(/.f64 (+.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x))) (+.f64 (pow.f64 x -1/2) 1))
0.0ms	x	@	-inf	(+.f64 (pow.f64 x -1/2) 1)
0.0ms	x	@	0	(+.f64 (pow.f64 x -1/2) 1)

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1322×	`associate-/r/`
1308×	`associate-/l*`
932×	`associate-/l/`
316×	`add-sqr-sqrt`
302×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	307	56
2	4382	56

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (+.f64 1 (pow.f64 x -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x))) (+.f64 1 (pow.f64 x -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (*.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (/.f64 1 (+.f64 1 (pow.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (hypot.f64 1 (pow.f64 x -1/4))) (/.f64 (sqrt.f64 (+.f64 (/.f64 1 x) (/.f64 1 (-.f64 -1 x)))) (hypot.f64 1 (pow.f64 x -1/4))))))) (#(struct:change 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simplify164.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-+l+`
878×	`associate-+r+`
770×	`+-commutative`
560×	`distribute-lft-in`
534×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	403	7487
1	1317	7139
2	5846	7139

Stop Event

1×	node limit

Counts

141 → 221

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

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

localize20.0ms (0.2%)

Local error

Found 3 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 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 56 to 32 computations (42.9% saved)

series4.0ms (0%)

Counts

2 → 5

Calls

6 calls:

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

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`associate-*l/`
1174×	`associate-/r*`
1096×	`*-commutative`
888×	`associate-/l*`
462×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	327	44
2	3643	42

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-/l*`
990×	`times-frac`
808×	`distribute-lft-in`
756×	`associate-/r*`
736×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	3833
1	599	3531
2	2067	3513

Stop Event

1×	node limit

Counts

93 → 146

Calls

Call 1

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

eval625.0ms (5.8%)

Compiler: Compiled 31130 to 22403 computations (28% saved)

prune450.0ms (4.2%)

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1186	13	1199
Fresh	2	12	14
Picked	1	0	1
Done	2	3	5
Total	1191	28	1219

Error

Counts

1219 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(pow.f64 x -1/2)
▶	6.4b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
▶	21.0b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) 1))
	23.5b	(/.f64 (/.f64 (-.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))) (.f64 x (-.f64 1 (.f64 x x))))
	6.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	36.3b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	49.6b	(/.f64 (/.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x -1/2) 1))
▶	29.1b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
✓	32.0b	(/.f64 (/.f64 1 x) (+.f64 1 (pow.f64 x -1/2)))
	29.1b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (fma.f64 (pow.f64 x 1/4) (pow.f64 x 1/4) (sqrt.f64 (+.f64 x 1))))
	29.1b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))
	48.6b	(/.f64 (.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) (+.f64 (.f64 1/2 x) 1)))
	46.4b	(/.f64 (*.f64 (+.f64 1 (-.f64 x x)) (/.f64 1 x)) (+.f64 (sqrt.f64 x) 1))
▶	31.8b	(/.f64 1 (+.f64 x (pow.f64 x 1/2)))
	32.0b	(/.f64 1 (*.f64 (+.f64 (pow.f64 x -1/2) 1) x))
	29.7b	(/.f64 1 (*.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	33.3b	(/.f64 1 (sqrt.f64 x))
▶	59.2b	(/.f64 1 x)
	20.0b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	33.1b	(-.f64 (pow.f64 x -1/2) 1)
✓	23.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	31.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	32.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	32.6b	(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
	22.2b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	33.2b	(-.f64 (sqrt.f64 (/.f64 1 x)) 1)
	42.0b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	33.3b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 640 to 495 computations (22.7% saved)

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	0.0b	(pow.f64 (+.f64 1 x) -1/2)
✓	0.1b	(/.f64 (/.f64 -1 x) (-.f64 -1 x))
✓	6.4b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
2.0ms	x	@	0	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
1.0ms	x	@	inf	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
0.0ms	x	@	-inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
0.0ms	x	@	inf	(+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))

rewrite137.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1872×	`associate-/r/`
1600×	`associate-/l/`
338×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
320×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	330	93
2	4794	93

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify214.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1192×	`*-commutative`
1072×	`associate-r`
1022×	`associate-*r/`
978×	`associate-/r*`
976×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	759	16736
1	2633	16292

Stop Event

1×	node limit

Counts

252 → 437

Calls

Call 1

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

localize44.0ms (0.4%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 4

Calls

6 calls:

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

rewrite80.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`add-sqr-sqrt`
1622×	`*-un-lft-identity`
1526×	`add-cube-cbrt`
1516×	`add-cbrt-cube`
160×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	178	28
2	2168	28

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1078×	`associate-+r+`
1072×	`unswap-sqr`
860×	`associate-+l+`
810×	`associate-/r*`
750×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	1370
1	335	1316
2	1344	1316
3	6963	1316

Stop Event

1×	node limit

Counts

72 → 79

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-/r/`
1550×	`associate-/l/`
732×	`distribute-lft-in`
284×	`add-sqr-sqrt`
270×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	280	37
2	3987	37

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 x (-.f64 -1 x)))) (pow.f64 x -1/2)) (*.f64 (/.f64 -1 (*.f64 (+.f64 -1 (/.f64 1 x)) (*.f64 x (-.f64 -1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -3/2)) (*.f64 x (-.f64 -1 x)))) (/.f64 1 x)) (*.f64 (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -3/2)) (*.f64 x (-.f64 -1 x)))) (-.f64 1 (pow.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -3/2)) (*.f64 x (-.f64 -1 x)))) (-.f64 1 (pow.f64 x -1/2))) (*.f64 (/.f64 -1 (*.f64 (+.f64 1 (pow.f64 x -3/2)) (*.f64 x (-.f64 -1 x)))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (+.f64 (pow.f64 x -1/2) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (*.f64 (/.f64 -1 (+.f64 x 1)) (/.f64 1 (+.f64 (pow.f64 x -1/2) 1))))))) (#(struct:change #<rule 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simplify150.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1106×	`associate-/r/`
794×	`associate-*l/`
692×	`*-commutative`
668×	`associate-*r/`
582×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	7149
1	1456	6601
2	5624	6565

Stop Event

1×	node limit

Counts

115 → 219

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

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

localize16.0ms (0.1%)

Local error

Found 3 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 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 1

Calls

3 calls:

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

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`associate-*l/`
1188×	`associate-/r*`
1110×	`*-commutative`
838×	`associate-/l*`
502×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	241	33
2	3363	33

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1266×	`associate-+r+`
1222×	`associate-*r/`
1054×	`associate-/l*`
842×	`times-frac`
738×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	165	3029
1	466	2743
2	1556	2671
3	7800	2671

Stop Event

1×	node limit

Counts

59 → 85

Calls

Call 1

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

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

eval936.0ms (8.7%)

Compiler: Compiled 31519 to 24141 computations (23.4% saved)

prune286.0ms (2.6%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1197	8	1205
Fresh	8	12	20
Picked	0	1	1
Done	4	3	7
Total	1209	24	1233

Error

Counts

1233 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(pow.f64 x -1/2)
	49.6b	(/.f64 (/.f64 (/.f64 1 x) x) (+.f64 (pow.f64 x -1/2) 1))
	31.6b	(/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) 2))
	6.4b	(/.f64 (/.f64 1 (+.f64 x (*.f64 x x))) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))
	29.1b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (pow.f64 (pow.f64 (+.f64 1 x) 1/4) 2)))
	48.6b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (+.f64 (*.f64 1/2 x) 1)))
✓	29.1b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
	46.4b	(/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) 1))
	31.8b	(/.f64 1 (+.f64 x (sqrt.f64 x)))
	29.7b	(/.f64 1 (*.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
	1.0b	(/.f64 1 (.f64 x (.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
	33.3b	(/.f64 1 (sqrt.f64 x))
✓	59.2b	(/.f64 1 x)
	20.0b	(-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2))
	33.1b	(-.f64 (pow.f64 x -1/2) 1)
✓	23.8b	(-.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (+.f64 1 x) -1/2))
	31.9b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (+.f64 (*.f64 1/2 x) 1)))
	32.7b	(-.f64 (/.f64 1 (sqrt.f64 x)) (+.f64 (*.f64 -1/2 x) 1))
	32.6b	(-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1)
	22.2b	(-.f64 (+.f64 1 (pow.f64 x -1/2)) 1)
	33.2b	(-.f64 (sqrt.f64 (/.f64 1 x)) 1)
	0.4b	(.f64 (/.f64 -1 (.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (/.f64 1 x))
	42.0b	(*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 x 3))))
✓	33.3b	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 255 to 202 computations (20.8% saved)

regimes54.0ms (0.5%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
12.0ms	(-.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 720 to 512 computations (28.9% saved)

regimes35.0ms (0.3%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 407 to 294 computations (27.8% saved)

regimes54.0ms (0.5%)

Counts

34 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	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 339 to 247 computations (27.1% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	1479.9268451278847	46729366408.112335

Results

16.0ms

144×

body

256

valid

Compiler

Compiled 232 to 184 computations (20.7% saved)

regimes49.0ms (0.5%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
10.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

Results

Error	Segments	Branch
0.9b	2	`x`
0.9b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 313 to 230 computations (26.5% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	1479.9268451278847	46729366408.112335

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 232 to 184 computations (20.7% saved)

regimes48.0ms (0.4%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
6.3b	2	`x`
6.3b	2	`(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 302 to 223 computations (26.2% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	1479.9268451278847	46729366408.112335

Results

15.0ms

144×

body

256

valid

Compiler

Compiled 259 to 211 computations (18.5% saved)

regimes61.0ms (0.6%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

1 calls:

55.0ms

Results

Error	Segments	Branch
7.0b	2	`x`

Compiler

Compiled 228 to 166 computations (27.2% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.0016813618283650074	5.138027225919427

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 240 to 197 computations (17.9% saved)

regimes61.0ms (0.6%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
18.3b	2	`x`

Compiler

Compiled 173 to 125 computations (27.7% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.0016813618283650074	5.138027225919427

Results

13.0ms

128×

body

256

valid

Compiler

Compiled 192 to 157 computations (18.2% saved)

regimes18.0ms (0.2%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
18.6b	2	`x`

Compiler

Compiled 80 to 58 computations (27.5% saved)

bsearch51.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	0.0016813618283650074	5.138027225919427

Results

49.0ms

128×

body

256

valid

Compiler

Compiled 152 to 125 computations (17.8% saved)

regimes17.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
21.1b	2	`x`

Compiler

Compiled 54 to 39 computations (27.8% saved)

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	0.0016813618283650074	5.138027225919427

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 144 to 125 computations (13.2% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
31.8b	1	`x`

Compiler

Compiled 40 to 28 computations (30% saved)

regimes43.0ms (0.4%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

42.0ms

Results

Error	Segments	Branch
31.3b	2	`x`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
15.0ms	0.0016813618283650074	5.138027225919427

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 112 to 93 computations (17% saved)

regimes6.0ms (0.1%)

Accuracy

Total -26.7b remaining (-80.5%)

Threshold costs -26.7b (-80.5%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(pow.f64 x -1/2)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
33.2b	1	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
18×	`*-commutative`
14×	`sub-neg`
4×	`neg-mul-1`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	599
1	96	599
2	105	599
3	109	599
4	111	599

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 -1 (.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (/.f64 1 x))
(/.f64 1 (.f64 x (.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(if (<=.f64 x 85000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 x 85000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (*.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(if (<=.f64 x 70000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (+.f64 (.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 1) (-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) 1)))
(if (<=.f64 x 5584463537939415/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) 1)))
(if (<=.f64 x 3602879701896397/4503599627370496) (-.f64 (pow.f64 x -1/2) 1) (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(if (<=.f64 x 7385903388887613/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 1 x)

Outputs
(.f64 (/.f64 -1 (.f64 (-.f64 -1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))) (/.f64 1 x))
(/.f64 1 (.f64 x (.f64 (+.f64 1 x) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)))))
(/.f64 1 (.f64 x (.f64 (+.f64 x 1) (+.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)))))
(if (<=.f64 x 85000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))))
(if (<=.f64 x 85000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
(if (<=.f64 x 85000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 1 (*.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))))
(if (<=.f64 x 85000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 1 (*.f64 x (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))
(if (<=.f64 x 70000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 1 x) -1/2)) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 70000000) (-.f64 (pow.f64 x -1/2) (pow.f64 (+.f64 x 1) -1/2)) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (-.f64 (+.f64 (.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (+.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (.f64 x 1/2)) -1) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 5944751508129055/9007199254740992) (+.f64 -1 (+.f64 (sqrt.f64 (/.f64 1 x)) (.f64 x 1/2))) (/.f64 (/.f64 (/.f64 -1 x) (-.f64 -1 x)) (.f64 (sqrt.f64 (/.f64 1 x)) 2)))
(if (<=.f64 x 1) (-.f64 (+.f64 (*.f64 1/2 x) (sqrt.f64 (/.f64 1 x))) 1) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) 1)))
(if (<=.f64 x 1) (+.f64 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 x 1/2)) -1) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 x))))
(if (<=.f64 x 1) (+.f64 -1 (+.f64 (sqrt.f64 (/.f64 1 x)) (*.f64 x 1/2))) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 x))))
(if (<=.f64 x 5584463537939415/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 (/.f64 1 x) (+.f64 (sqrt.f64 x) 1)))
(if (<=.f64 x 5584463537939415/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 x))))
(if (<=.f64 x 5584463537939415/9007199254740992) (+.f64 -1 (pow.f64 x -1/2)) (/.f64 (/.f64 1 x) (+.f64 1 (sqrt.f64 x))))
(if (<=.f64 x 3602879701896397/4503599627370496) (-.f64 (pow.f64 x -1/2) 1) (-.f64 (+.f64 1 (pow.f64 x -1/2)) 1))
(if (<=.f64 x 3602879701896397/4503599627370496) (+.f64 (pow.f64 x -1/2) -1) (+.f64 (+.f64 (pow.f64 x -1/2) 1) -1))
(if (<=.f64 x 3602879701896397/4503599627370496) (+.f64 -1 (pow.f64 x -1/2)) (+.f64 -1 (+.f64 (pow.f64 x -1/2) 1)))
(/.f64 1 (+.f64 x (sqrt.f64 x)))
(if (<=.f64 x 7385903388887613/9007199254740992) (-.f64 (pow.f64 x -1/2) 1) (/.f64 1 x))
(if (<=.f64 x 7385903388887613/9007199254740992) (+.f64 (pow.f64 x -1/2) -1) (/.f64 1 x))
(if (<=.f64 x 7385903388887613/9007199254740992) (+.f64 -1 (pow.f64 x -1/2)) (/.f64 1 x))
(pow.f64 x -1/2)
(/.f64 1 x)

Compiler

Compiled 231 to 180 computations (22.1% saved)

soundness204.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

1408×	`associate-+r-`
1342×	`associate-/l*`
990×	`times-frac`
808×	`distribute-lft-in`
756×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	635	14195
1	1614	13085
2	7597	13085
0	231	3833
1	599	3531
2	2067	3513

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 54 to 39 computations (27.8% saved)

end121.0ms (1.1%)

Compiler: Compiled 219 to 164 computations (25.1% 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