Details

analyze22.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.8%	87.2%	0%	0%	0%	0
0%	0%	12.8%	87.2%	0%	0%	0%	1
0%	0%	12.8%	87.2%	0%	0%	0%	2
50%	6.4%	6.4%	87.2%	0%	0%	0%	3
57.1%	6.4%	4.8%	87.2%	0%	1.6%	0%	4
69.2%	7.2%	3.2%	87.2%	0%	2.4%	0%	5
75%	7.2%	2.4%	87.2%	0%	3.2%	0%	6
82.6%	7.6%	1.6%	87.2%	0%	3.6%	0%	7
86.4%	7.6%	1.2%	87.2%	0%	4%	0%	8
90.7%	7.8%	0.8%	87.2%	0%	4.2%	0%	9
92.6%	7.8%	0.6%	87.2%	0%	4.4%	0%	10
95%	7.9%	0.4%	87.2%	0%	4.5%	0%	11
96.3%	8%	0.3%	87.2%	0%	4.5%	0%	12

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.3s (13.3%)

Results

680.0ms	5915×	body	256	valid
318.0ms	1130×	body	1024	valid
239.0ms	1168×	body	512	valid
15.0ms	160×	body	256	invalid
14.0ms	43×	body	2048	valid

Bogosity

preprocess27.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

332×	`fma-def`
150×	`associate--r+`
124×	`associate-+l-`
108×	`associate-+l+`
96×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	103	46
5	219	46
6	570	46
7	713	46
8	908	46
9	944	46
10	954	46
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

182×	`fma-def`
110×	`associate--r+`
76×	`associate-+l-`
62×	`distribute-lft-in`
60×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	57	23
5	105	23
6	271	23
7	353	23
8	440	23
9	529	23
10	577	23
11	581	23

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

40.72%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	40.72%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (*.f64 x x) eps)
✓	7.38%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series4.0ms (0%)

Counts

2 → 40

Calls

12 calls:

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

rewrite96.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`*-commutative`
868×	`associate-*r/`
656×	`associate-*l/`
648×	`distribute-lft-in`
638×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	200	36
2	2841	36

Stop Event

1×	node limit

Counts

2 → 207

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)

Outputs
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Outputs

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simplify281.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-+r-`
968×	`fma-def`
702×	`associate-r`
552×	`associate-l`
544×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	13411
1	1695	12657
2	7887	12657

Stop Event

1×	node limit

Counts

247 → 356

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(neg.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 (sqrt.f64 -1) (neg.f64 (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) x)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)) x)
(fma.f64 (neg.f64 (sqrt.f64 -1)) (sqrt.f64 eps) x)
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) x))
(fma.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) x))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) x) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) x)))
(fma.f64 -1 (.f64 (sqrt.f64 -1) (sqrt.f64 eps)) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)))
(-.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (fma.f64 1/8 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) x)) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 eps eps)) 2) (.f64 1/16 (pow.f64 eps 4))) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) 1/64)) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (/.f64 -1/2 (/.f64 x eps)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (/.f64 (.f64 (.f64 -1/8 eps) eps) (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) -1/16))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (/.f64 (pow.f64 eps 4) (/.f64 x (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6))))) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/2 (*.f64 (/.f64 (pow.f64 eps 4) x) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 x 3)) 2) (/.f64 1/16 (pow.f64 x 6)))) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(*.f64 -1 eps)
(neg.f64 eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 (*.f64 -1 eps) (pow.f64 x 2))
(-.f64 (*.f64 x x) eps)
(+.f64 x (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 x (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 x (-.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(fma.f64 2 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
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(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (fma.f64 x x eps))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) 1) (+.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (-.f64 (pow.f64 x 4) (*.f64 (neg.f64 eps) (fma.f64 x x eps))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) 1) (neg.f64 (fma.f64 x x eps)))
(-.f64 (*.f64 x x) eps)
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) 1) (neg.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (/.f64 (sqrt.f64 (fma.f64 x x eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (hypot.f64 (pow.f64 x 3) (pow.f64 (neg.f64 eps) 3/2)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 (fma.f64 x x eps)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 1 (fma.f64 x x eps))) (+.f64 (pow.f64 x 4) (.f64 eps eps)))
(/.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) (.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 4) (.f64 eps eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 8) (pow.f64 eps 4)) (fma.f64 x x eps)) (fma.f64 eps eps (pow.f64 x 4)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (.f64 eps eps) 3)) (/.f64 1 (fma.f64 x x eps))) (+.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) (.f64 (.f64 eps eps) (+.f64 (pow.f64 x 4) (.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 eps 6)) (.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 8) (+.f64 (.f64 (*.f64 eps eps) (pow.f64 x 4)) (pow.f64 eps 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (fma.f64 x x eps)) (fma.f64 eps (*.f64 eps (fma.f64 eps eps (pow.f64 x 4))) (pow.f64 x 8)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))))) (+.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(/.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))) (+.f64 (pow.f64 eps 3) (pow.f64 x 6))))
(/.f64 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (*.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)) (+.f64 (pow.f64 eps 3) (pow.f64 x 6))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (/.f64 1 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (.f64 (pow.f64 eps 3) (+.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))) (+.f64 (pow.f64 x 12) (+.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) (pow.f64 eps 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (pow.f64 eps 3) 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))) (fma.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (pow.f64 x 6)) (pow.f64 x 12)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) 1) (fma.f64 x x eps))
(-.f64 (*.f64 x x) eps)
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (fma.f64 x x eps)))
(-.f64 (*.f64 x x) eps)
(/.f64 (/.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)) (.f64 (cbrt.f64 (fma.f64 x x eps)) (cbrt.f64 (fma.f64 x x eps)))) (cbrt.f64 (fma.f64 x x eps)))
(-.f64 (*.f64 x x) eps)
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) 1) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))))) (sqrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1)
(-.f64 (*.f64 x x) eps)
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 2)
(-.f64 (*.f64 x x) eps)
(pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 3)
(-.f64 (*.f64 x x) eps)
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3) 1/3)
(-.f64 (*.f64 x x) eps)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)) (neg.f64 (fma.f64 x x eps))))
(-.f64 (*.f64 x x) eps)
(neg.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (neg.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2))
(fabs.f64 (-.f64 (*.f64 x x) eps))
(log.f64 (exp.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (*.f64 x x) eps)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3))
(-.f64 (*.f64 x x) eps)
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(log1p.f64 (expm1.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (*.f64 x x) eps)
(fma.f64 x x (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 1 (*.f64 x x) (neg.f64 eps))
(-.f64 (*.f64 x x) eps)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (neg.f64 eps))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4))) eps)

eval101.0ms (1%)

Compiler: Compiled 9159 to 3216 computations (64.9% saved)

prune63.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	348	8	356
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	348	9	357

Error

Counts

357 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.01%	(/.f64 (/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	0.42%	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	78.63%	(/.f64 (.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
✓	40.72%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	44.21%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	18.19%	(.f64 (/.f64 (+.f64 eps 0) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (-.f64 (.f64 x (+.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	0.63%	(.f64 (+.f64 eps (.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	96.5%	(*.f64 x 2)
	53.1%	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 278 to 166 computations (40.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.42%	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 42 to 12 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-/r*`
1134×	`*-commutative`
988×	`associate-/l*`
822×	`associate-/r/`
532×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	274	52
2	3746	52

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Outputs
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Outputs

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

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

980×	`associate-+r+`
964×	`+-commutative`
740×	`associate-+l+`
732×	`times-frac`
682×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	9289
1	1451	8639
2	6672	8639

Stop Event

1×	node limit

Counts

171 → 259

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 x (sqrt.f64 (neg.f64 eps)))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series2.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`add-sqr-sqrt`
1600×	`*-un-lft-identity`
1494×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	170	11
2	2321	11

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))

Outputs

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1436×	`associate-/l*`
1146×	`associate-+l+`
1124×	`associate-r`
954×	`associate-l`
740×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1082
1	261	962
2	1031	900
3	4662	898

Stop Event

1×	node limit

Counts

50 → 61

Calls

Call 1

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

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

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
	0.02%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.13%	(*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0)))

Compiler

Compiled 61 to 27 computations (55.7% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite110.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`associate-/l*`
1160×	`associate-/r/`
752×	`associate-/l/`
334×	`associate-+l+`
286×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	300	30
2	4053	30

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0)))
(/.f64 (.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))

Outputs

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

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

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-+l+`
1010×	`associate-r`
920×	`times-frac`
862×	`associate-/l*`
826×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	4653
1	1325	4313
2	7677	4313

Stop Event

1×	node limit

Counts

171 → 207

Calls

Call 1

Inputs
eps
eps
eps
eps
eps
eps
eps
eps
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(+.f64 eps 0)
(+.f64 eps (-.f64 0 (/.f64 0 eps)))
(+.f64 0 eps)
(-.f64 eps 0)
(-.f64 eps (/.f64 0 eps))
(-.f64 eps (-.f64 (/.f64 0 eps) 0))
(-.f64 eps (+.f64 (/.f64 0 eps) 0))
(-.f64 eps (+.f64 0 (/.f64 0 eps)))
(-.f64 eps (+.f64 (/.f64 0 eps) (/.f64 0 eps)))
(-.f64 (exp.f64 (log1p.f64 eps)) 1)
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(-.f64 (+.f64 0 (exp.f64 (log1p.f64 eps))) 1)
(/.f64 eps 1)
(/.f64 eps (/.f64 eps eps))
(/.f64 eps (/.f64 (.f64 eps eps) (.f64 eps eps)))
(/.f64 (sqrt.f64 eps) (/.f64 1 (sqrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (/.f64 eps (pow.f64 eps 3/2)))
(/.f64 1 (/.f64 1 eps))
(/.f64 (pow.f64 eps 1/4) (/.f64 1 (*.f64 (pow.f64 eps 1/4) (sqrt.f64 eps))))
(/.f64 (cbrt.f64 eps) (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (cbrt.f64 eps) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 eps)) (sqrt.f64 eps))))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 1 (cbrt.f64 eps)))
(/.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 eps (*.f64 (cbrt.f64 eps) eps)))
(/.f64 (pow.f64 eps 3/2) (sqrt.f64 eps))
(/.f64 (*.f64 eps eps) eps)
(/.f64 (pow.f64 eps 3) (*.f64 eps eps))
(/.f64 (pow.f64 eps 3) (/.f64 1 (/.f64 1 (*.f64 eps eps))))
(/.f64 (*.f64 (sqrt.f64 eps) (pow.f64 eps 1/4)) (/.f64 1 (pow.f64 eps 1/4)))
(/.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) (pow.f64 eps 3))
(/.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (.f64 eps (.f64 (.f64 eps eps) (*.f64 eps eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(/.f64 (*.f64 (sqrt.f64 eps) (cbrt.f64 eps)) (/.f64 1 (cbrt.f64 (sqrt.f64 eps))))
(/.f64 (*.f64 eps (pow.f64 (cbrt.f64 eps) 2)) (/.f64 eps (cbrt.f64 eps)))
(/.f64 (.f64 (.f64 eps eps) (sqrt.f64 eps)) (pow.f64 eps 3/2))
(/.f64 (.f64 (.f64 eps eps) 1) eps)
(/.f64 (.f64 (.f64 eps eps) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 eps)))
(/.f64 (*.f64 eps (pow.f64 eps 3)) (pow.f64 eps 3))
(/.f64 (.f64 (.f64 eps eps) (pow.f64 eps 3)) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(/.f64 (.f64 (.f64 eps eps) (pow.f64 eps 3)) (*.f64 eps (pow.f64 eps 3)))
(/.f64 (*.f64 (pow.f64 eps 3) eps) (pow.f64 eps 3))
(/.f64 (neg.f64 (pow.f64 eps 3)) (neg.f64 (*.f64 eps eps)))
(/.f64 (neg.f64 (pow.f64 eps 3)) (.f64 1 (neg.f64 (.f64 eps eps))))
(/.f64 (-.f64 (.f64 (pow.f64 eps 3) (pow.f64 eps 3)) 0) (.f64 (*.f64 eps eps) (pow.f64 eps 3)))
(/.f64 (-.f64 0 (*.f64 eps eps)) (neg.f64 eps))
(/.f64 (-.f64 (.f64 (.f64 eps eps) (*.f64 eps eps)) 0) (pow.f64 eps 3))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))
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(/.f64 (pow.f64 (pow.f64 eps 3) 3) (.f64 (.f64 eps eps) (pow.f64 (*.f64 eps eps) 3)))
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(/.f64 (-.f64 (pow.f64 (.f64 eps eps) 3) 0) (.f64 eps (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 0 (.f64 (*.f64 eps eps) 0)))))
(/.f64 (.f64 (pow.f64 eps 3) (.f64 eps eps)) (*.f64 eps (pow.f64 eps 3)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 3) eps)
(pow.f64 eps 1)
(pow.f64 (sqrt.f64 eps) 2)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (*.f64 eps eps) 1/2)
(pow.f64 (pow.f64 eps 3) 1/3)
(sqrt.f64 (*.f64 eps eps))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps 3))
(expm1.f64 (log1p.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 eps)) 2))
(log1p.f64 (expm1.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)
(fma.f64 1 eps 0)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1)
(.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 eps))
(.f64 (/.f64 eps (-.f64 (fma.f64 x x eps) (.f64 x x))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 1 (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 eps (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 eps (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 1 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 eps))
(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 eps))
(.f64 (/.f64 (pow.f64 eps 1/4) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))) (pow.f64 eps 1/4))
(.f64 (/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 eps 1/4))) (pow.f64 eps 1/4))
(.f64 (/.f64 (sqrt.f64 eps) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (sqrt.f64 eps) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 (sqrt.f64 eps) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 eps (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(.f64 (/.f64 (sqrt.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 eps)))
(.f64 (/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps))) (cbrt.f64 (sqrt.f64 eps)))
(.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(.f64 (/.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))) (cbrt.f64 (sqrt.f64 eps)))
(.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (neg.f64 eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1) (/.f64 1 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (*.f64 eps eps)) eps)
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 eps 3)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 0 (*.f64 eps eps))) (neg.f64 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 eps 3)) eps)
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 eps (pow.f64 eps 3))) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) eps)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 0)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 0 (pow.f64 (.f64 eps eps) 3))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 0 (.f64 (*.f64 eps eps) 0))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (pow.f64 (.f64 eps eps) 3) 0)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 0 (.f64 (*.f64 eps eps) 0))))
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(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))

Outputs
eps
eps
eps
eps
eps
eps
eps
eps
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
eps
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
eps
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
eps
(.f64 -1 (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))
eps
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 eps (.f64 eps 1/8)) (pow.f64 x 3)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
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(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 1 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (pow.f64 eps 1/4) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))) (pow.f64 eps 1/4))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 eps 1/4))) (pow.f64 eps 1/4))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 eps) (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 (sqrt.f64 eps) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 eps (-.f64 (fma.f64 x x eps) (.f64 x x))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (-.f64 (fma.f64 x x eps) (*.f64 x x))))
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 (sqrt.f64 eps) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))
(.f64 (/.f64 eps (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))) (.f64 1 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(.f64 (/.f64 eps (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (sqrt.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (sqrt.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps))) (cbrt.f64 (sqrt.f64 eps)))
(/.f64 (.f64 (sqrt.f64 eps) (cbrt.f64 (sqrt.f64 eps))) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (sqrt.f64 eps)) (/.f64 (.f64 (cbrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (cbrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))) (cbrt.f64 (sqrt.f64 eps)))
(/.f64 (.f64 (sqrt.f64 eps) (cbrt.f64 (sqrt.f64 eps))) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (sqrt.f64 eps)) (/.f64 (.f64 (cbrt.f64 eps) (sqrt.f64 eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 eps (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(.f64 (/.f64 (neg.f64 eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))) (.f64 1 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1) (/.f64 1 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (*.f64 eps eps)) eps)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 eps 3)) (*.f64 eps eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 0 (*.f64 eps eps))) (neg.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 eps 3)) eps)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 eps eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 eps (pow.f64 eps 3))) (*.f64 eps eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) eps)) (*.f64 eps eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 0)) (*.f64 eps eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 0 (pow.f64 (.f64 eps eps) 3))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 0 (.f64 (*.f64 eps eps) 0))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (pow.f64 (.f64 eps eps) 3) 0)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 0 (.f64 (*.f64 eps eps) 0))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) (*.f64 eps eps))) (pow.f64 eps 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (/.f64 eps (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (hypot.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/4) (pow.f64 x 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps)))))
(.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 eps (.f64 (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 eps (.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)) (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 eps (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))) (cbrt.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 (/.f64 eps (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.1%	(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.41%	(/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
✓	0.63%	(/.f64 (/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))

Compiler

Compiled 94 to 12 computations (87.2% saved)

series16.0ms (0.2%)

Counts

3 → 32

Calls

18 calls:

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

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`associate-/r/`
616×	`associate-+l+`
362×	`add-sqr-sqrt`
356×	`*-un-lft-identity`
354×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	113
1	347	83
2	5452	83

Stop Event

1×	node limit

Counts

3 → 219

Calls

Call 1

Inputs

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

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

(sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Outputs

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simplify140.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-r`
958×	`associate-/l*`
928×	`associate-l`
892×	`*-commutative`
634×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	737	17391
1	2172	16751

Stop Event

1×	node limit

Counts

251 → 447

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
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(*.f64 1/2 (/.f64 eps x))
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(.f64 1 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 eps))
(.f64 (sqrt.f64 eps) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2)))
(.f64 (sqrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (cbrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (cbrt.f64 (.f64 eps (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (cbrt.f64 (.f64 eps (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2)))
(.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2) eps)
(.f64 (neg.f64 eps) (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (/.f64 1 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1/4)) (/.f64 eps (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4)))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 1 (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (neg.f64 eps))
(.f64 (/.f64 (sqrt.f64 eps) 1) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1/4)) (/.f64 (cbrt.f64 eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4)))
(.f64 (.f64 (cbrt.f64 eps) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 eps))
(.f64 (/.f64 eps (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (sqrt.f64 (-.f64 (-.f64 (.f64 x (+.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 eps))) (sqrt.f64 eps))
(.f64 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) 1) (/.f64 eps (*.f64 eps eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) 1) (/.f64 (-.f64 (.f64 eps eps) (.f64 0 eps)) (+.f64 0 (pow.f64 eps 3))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (*.f64 eps eps)) eps)
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (+.f64 0 (pow.f64 eps 3))) (-.f64 (.f64 eps eps) (.f64 0 eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (neg.f64 (+.f64 0 (pow.f64 eps 3)))) (neg.f64 (-.f64 (.f64 eps eps) (.f64 0 eps))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (-.f64 (pow.f64 eps 3) 0)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (-.f64 0 (*.f64 eps eps))) (neg.f64 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (.f64 x x) eps) 2))) (-.f64 (.f64 x (+.f64 x x)) eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (.f64 (+.f64 0 (pow.f64 eps 3)) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 0 (neg.f64 eps)) (.f64 0 (neg.f64 eps))))) (.f64 eps eps))
(.f64 (/.f64 (.f64 (+.f64 0 (pow.f64 eps 3)) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2)) (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 0 (neg.f64 eps)) 3))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 0 (neg.f64 eps)) (.f64 0 (neg.f64 eps)))) (.f64 (.f64 eps eps) (.f64 0 (neg.f64 eps)))))
(.f64 (/.f64 (/.f64 eps 1) (sqrt.f64 eps)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps 1) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (sqrt.f64 (-.f64 (-.f64 (.f64 x (+.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(pow.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(sqrt.f64 (.f64 eps (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(log.f64 (exp.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(cbrt.f64 (pow.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3/2)))
(expm1.f64 (log1p.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(exp.f64 (log.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1)
(.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1/4) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4))
(.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (sqrt.f64 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1/2))
(.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4))
(.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 (/.f64 (neg.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (sqrt.f64 eps) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (sqrt.f64 (-.f64 (-.f64 (.f64 x (+.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(hypot.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))

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

eval789.0ms (8.2%)

Compiler: Compiled 60080 to 21732 computations (63.8% saved)

prune751.0ms (7.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1863	7	1870
Fresh	2	1	3
Picked	1	0	1
Done	3	2	5
Total	1869	10	1879

Error

Counts

1879 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.59%	(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
▶	40.08%	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
	0.42%	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (+.f64 (neg.f64 eps) (-.f64 (fma.f64 x x eps) eps)))))
▶	40.84%	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))
▶	0.42%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	40.72%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	44.21%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	0.63%	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
▶	53.1%	(*.f64 1/2 (/.f64 eps x))
	96.49%	x

Compiler

Compiled 204 to 129 computations (36.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.42%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 36 to 7 computations (80.6% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-*r/`
1090×	`*-commutative`
1034×	`associate-*l/`
930×	`associate-/r*`
748×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	224	29
2	3277	29

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1056×	`associate-/l*`
962×	`times-frac`
958×	`associate-*r/`
742×	`associate-/r*`
596×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	3129
1	560	2809
2	2070	2753

Stop Event

1×	node limit

Counts

61 → 97

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 eps (.f64 eps 1/8)) (pow.f64 x 3)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps 1/8))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (*.f64 1 x))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 (.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (.f64 x x)))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (.f64 x x) (*.f64 1 x)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1)))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (fma.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (neg.f64 (.f64 (fma.f64 -1 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/2 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 x x))))))
(fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 eps) (/.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (sqrt.f64 -1) (.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2)))) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 (.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))) -1/2) (.f64 x x))))
(fma.f64 (pow.f64 x 3) (-.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (sqrt.f64 -1)))) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) -1/2) (.f64 x x) (*.f64 1 x))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 eps (.f64 eps 1/8)) (pow.f64 x 3)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps 1/8))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (.f64 (/.f64 eps (pow.f64 x 3)) eps) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 (/.f64 1/16 (pow.f64 x 5)) (pow.f64 eps 3)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8)))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (.f64 (.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5))) (.f64 -1/4 (/.f64 (.f64 eps (.f64 (.f64 eps eps) -1/8)) (pow.f64 x 5))))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (.f64 eps (pow.f64 x 5))) (/.f64 (.f64 -1/4 (.f64 (pow.f64 eps 3) -1/8)) (pow.f64 x 5)))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (.f64 (/.f64 eps (pow.f64 x 3)) eps) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (.f64 (pow.f64 eps 4) 5/64) (.f64 eps (pow.f64 x 5))) (.f64 -1/4 (/.f64 (pow.f64 eps 3) (/.f64 (pow.f64 x 5) -1/8))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 eps (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 eps 0)))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps eps))
(.f64 (neg.f64 eps) (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(.f64 (/.f64 (-.f64 (-.f64 (.f64 x (+.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps)
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (sqrt.f64 eps) 1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (-.f64 (.f64 x x) (-.f64 (.f64 x x) eps))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 eps 0)))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps eps))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(.f64 (/.f64 (-.f64 (-.f64 (.f64 x (+.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))) eps)
(.f64 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (neg.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))
(/.f64 eps (.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

localize5.0ms (0.1%)

Compiler: Compiled 13 to 6 computations (53.8% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 x (sqrt.f64 (neg.f64 eps)))
✓	0.4%	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series7.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

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

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`associate-*r/`
1532×	`associate-/r*`
1202×	`associate-*l/`
882×	`*-commutative`
232×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	244	28
2	3302	28

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))
(+.f64 x (sqrt.f64 (neg.f64 eps)))

Outputs

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

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

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-/r/`
1078×	`distribute-rgt-in`
1060×	`distribute-lft-in`
866×	`associate-/l/`
502×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	5146
1	893	4606
2	3981	4572

Stop Event

1×	node limit

Counts

152 → 209

Calls

Call 1

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

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

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.25%	(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.39%	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)

Compiler

Compiled 49 to 12 computations (75.5% saved)

series6.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite82.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`associate-*r/`
1284×	`associate-*l/`
712×	`associate-/r*`
548×	`associate-/l*`
296×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	58
1	259	58
2	3565	58

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

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

simplify131.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

926×	`associate-+r+`
888×	`associate-+l+`
816×	`+-commutative`
792×	`associate-/l*`
516×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	8892
1	1398	8334
2	5974	8316

Stop Event

1×	node limit

Counts

164 → 270

Calls

Call 1

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

Outputs
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(/.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (.f64 x x)))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (.f64 x x)))
(-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (/.f64 x -1) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (.f64 x x))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (sqrt.f64 -1))))) (pow.f64 x 3) (+.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 1/2 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 eps)))) (*.f64 x x))))))
(fma.f64 (+.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (-.f64 (-.f64 (/.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (/.f64 x -1)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x))))
(-.f64 (-.f64 (fma.f64 (+.f64 (/.f64 1/2 eps) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (sqrt.f64 -1)))) (pow.f64 x 3) (/.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (/.f64 x -1)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 -1 (sqrt.f64 -1))) -1/2) (*.f64 x x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (-.f64 (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128))))
(-.f64 (fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))) (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) -1/8) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5))) (.f64 -1/4 (/.f64 eps (/.f64 (pow.f64 x 5) (.f64 (*.f64 eps eps) -1/8)))))))))
(fma.f64 (/.f64 eps x) -1/2 (fma.f64 x 2 (fma.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8 (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (pow.f64 eps 4) (.f64 (pow.f64 eps 4) 1/64)) (.f64 eps (pow.f64 x 5))) (/.f64 -1/4 (/.f64 (pow.f64 x 5) (.f64 (pow.f64 eps 3) -1/8))))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))
(/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (/.f64 x eps))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))
(fma.f64 -1 (.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/2) (.f64 x x)) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 x (*.f64 eps (pow.f64 (sqrt.f64 -1) 2))))))
(+.f64 (/.f64 x eps) (fma.f64 (.f64 (.f64 (/.f64 -1 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) -1/2) (*.f64 x x) (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (-.f64 (/.f64 x eps) (.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1))) (.f64 -1/2 (.f64 x x)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (.f64 -1 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))))
(fma.f64 -1 (.f64 (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/2) (.f64 x x)) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (fma.f64 (-.f64 (/.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 eps eps))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/2)) (sqrt.f64 -1)))) (pow.f64 x 3) (neg.f64 (/.f64 x (.f64 eps (pow.f64 (sqrt.f64 -1) 2)))))))
(+.f64 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 1/2 (.f64 eps eps)) (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 -1 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1))) (/.f64 (sqrt.f64 -1) -1/2)))) (/.f64 x eps)) (fma.f64 (.f64 (.f64 (/.f64 -1 (sqrt.f64 -1)) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) -1/2) (.f64 x x) (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
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(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (.f64 eps -1) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (neg.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 (.f64 eps -1) -1) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (.f64 eps -1) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (.f64 eps -1) (.f64 (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (cbrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (.f64 eps -1) (neg.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (.f64 eps -1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 (/.f64 eps 1) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))))
(/.f64 eps (.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) 1) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)))))
(/.f64 (/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1/2) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2)) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 -1 (/.f64 -1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 (+.f64 eps 0)))
(/.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (fma.f64 x x (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2))))
(/.f64 (-.f64 (.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) -1) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)) -1) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1/2) 2)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) -1))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.16%	(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
✓	0.24%	(/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
✓	39.89%	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)

Compiler

Compiled 62 to 9 computations (85.5% saved)

series10.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite138.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1670×	`associate-/r/`
1142×	`associate-/l/`
922×	`distribute-lft-in`
320×	`associate-+l+`
294×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	105
1	276	105
2	4294	105

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify185.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-r`
1098×	`*-commutative`
996×	`associate-/l*`
982×	`associate-*r/`
880×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	755	14993
1	2491	13743

Stop Event

1×	node limit

Counts

283 → 405

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
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(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1))
(log1p.f64 (expm1.f64 (.f64 eps (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(+.f64 (.f64 (/.f64 1 eps) x) (.f64 (/.f64 1 eps) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (.f64 (/.f64 1 eps) (sqrt.f64 (-.f64 (.f64 x x) eps))) (*.f64 (/.f64 1 eps) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))) 1)
(.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 1 eps))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps) 1)
(.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps))
(.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 eps)))
(.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 eps)))
(.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) 2) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(.f64 (/.f64 1 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (neg.f64 eps)))
(.f64 (/.f64 1 (sqrt.f64 eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps)))
(.f64 -1 (/.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps))
(.f64 (/.f64 1 (neg.f64 eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1) (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))
(.f64 (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (cbrt.f64 eps) 2)) (/.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) 2))) (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(.f64 (/.f64 1 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 1 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (/.f64 1 eps)) (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (/.f64 1 eps)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (.f64 x x) (+.f64 (neg.f64 eps) (.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 eps)) (-.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (+.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 eps)) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 3))) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3) 1/3)
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)
(neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))

Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (neg.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 x x)))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (/.f64 1 eps)))) -1/2) (.f64 x x)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (neg.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 x x))))))
(fma.f64 (-.f64 (/.f64 1/2 (.f64 eps (pow.f64 (sqrt.f64 -1) 4))) (.f64 (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (/.f64 1 eps)))) -1/2) (sqrt.f64 -1))))) (pow.f64 x 3) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps) (.f64 -1 (+.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) (.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 -1) 3) (sqrt.f64 (/.f64 1 eps)))) -1/2) (*.f64 x x))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (.f64 (pow.f64 eps 4) -5/128) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 1/16 (pow.f64 eps 3)) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 -1 (/.f64 (pow.f64 eps 4) (/.f64 (pow.f64 x 7) -5/128)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (+.f64 (.f64 (/.f64 (.f64 eps eps) (pow.f64 x 3)) -1/8) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 eps eps)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5))) (.f64 -1/4 (/.f64 eps (/.f64 (pow.f64 x 5) (.f64 -1/8 (*.f64 eps eps))))))))))
(+.f64 (fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 x (.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) -1/8))) (fma.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)) (fma.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 eps -1/8)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5))) (.f64 -1/4 (/.f64 (*.f64 (pow.f64 eps 3) -1/8) (pow.f64 x 5))))))
(*.f64 1/2 (/.f64 (pow.f64 eps 2) x))
(.f64 1/2 (/.f64 (.f64 eps eps) x))
(*.f64 1/2 (/.f64 eps (/.f64 x eps)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 eps 3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (*.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (.f64 eps eps) x) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (/.f64 (pow.f64 x 3) (pow.f64 eps 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 5/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 5/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))))))
(fma.f64 1/16 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)) (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 5/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (pow.f64 eps 3)))
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(fma.f64 -1 (/.f64 (.f64 eps x) (pow.f64 (sqrt.f64 -1) 2)) (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (pow.f64 eps 3))))
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(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(.f64 (/.f64 1 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 1 (/.f64 (pow.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2) eps))
(.f64 (/.f64 1 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (.f64 (/.f64 1 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) eps))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (.f64 (/.f64 1 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2) eps))
(.f64 (/.f64 (.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (/.f64 1 eps)) (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(.f64 (/.f64 (.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (/.f64 1 eps)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (.f64 x x) (+.f64 (neg.f64 eps) (.f64 x (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (/.f64 (/.f64 (+.f64 eps 0) eps) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (-.f64 (.f64 x x) eps) (.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 eps)) (-.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (+.f64 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x))) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) eps) (-.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (+.f64 (+.f64 eps 0) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) eps) (/.f64 (-.f64 (pow.f64 x 4) (.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 eps)) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 3))) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) eps) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 3))) (+.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)) eps)) (+.f64 (pow.f64 x 4) (.f64 (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 1)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 2)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) 3)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3) 1/3)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps)))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) 3))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) (pow.f64 eps 3)))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(exp.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)) 1))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)

eval749.0ms (7.8%)

Compiler: Compiled 44626 to 17488 computations (60.8% saved)

prune637.0ms (6.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1747	8	1755
Fresh	2	1	3
Picked	1	0	1
Done	2	4	6
Total	1752	13	1765

Error

Counts

1765 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	79.44%	(/.f64 (/.f64 eps (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x)))) eps)
	79.5%	(/.f64 (/.f64 eps (*.f64 2 (/.f64 x eps))) eps)
▶	84.25%	(/.f64 (.f64 1/2 (/.f64 (.f64 eps eps) x)) eps)
✓	0.42%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	40.84%	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
▶	88.42%	(/.f64 eps x)
▶	0.58%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
✓	40.72%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	44.21%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	53.27%	(*.f64 (/.f64 1/2 x) eps)
▶	0.78%	(.f64 eps (.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 1 eps)))
✓	53.1%	(*.f64 1/2 (/.f64 eps x))
	96.49%	x

Compiler

Compiled 223 to 145 computations (35% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.02%	(-.f64 (*.f64 x x) eps)
	0.16%	(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
✓	0.47%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))

Compiler

Compiled 49 to 10 computations (79.6% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1570×	`associate-/r*`
986×	`associate-/l*`
910×	`distribute-lft-in`
632×	`associate-/r/`
346×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	265	29
2	3759	29

Stop Event

1×	node limit

Counts

1 → 80

Calls

Call 1

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

Outputs

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

simplify117.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-+r+`
696×	`associate-/l/`
676×	`distribute-lft-neg-out`
648×	`associate-/r/`
566×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	342	5448
1	975	4994
2	4084	4884

Stop Event

1×	node limit

Counts

96 → 171

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 1/2 (/.f64 (.f64 eps eps) x))
✓	22.5%	(/.f64 (*.f64 eps eps) x)
✓	32.45%	(/.f64 (.f64 1/2 (/.f64 (.f64 eps eps) x)) eps)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
706×	`associate-/r/`
704×	`unswap-sqr`
668×	`swap-sqr`
438×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	197	57
2	2841	45

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

714×	`distribute-lft-neg-in`
630×	`distribute-rgt-neg-in`
616×	`associate-r`
616×	`associate-l`
556×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	5254
1	925	4912
2	4210	4900

Stop Event

1×	node limit

Counts

230 → 204

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.03%

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

✓

0.14%

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

✓

56.13%

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

series11.0ms (0.1%)

Counts

3 → 54

Calls

18 calls:

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

rewrite123.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`associate-/r/`
944×	`distribute-lft-in`
810×	`associate-/l/`
356×	`associate-+l+`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	93
1	320	81
2	4459	81

Stop Event

1×	node limit

Counts

3 → 315

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-r`
1028×	`associate-l`
894×	`associate-/r*`
888×	`*-commutative`
828×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	779	21797
1	2412	21175

Stop Event

1×	node limit

Counts

369 → 461

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps)))))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 -2 x))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (*.f64 x -2))
(+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (*.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps)))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps))))
(+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -2 x) (.f64 -32 (/.f64 (pow.f64 x 5) (pow.f64 eps 2))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (.f64 -32 (/.f64 (pow.f64 x 5) (.f64 eps eps))))))
(fma.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (fma.f64 -2 x (*.f64 -32 (/.f64 (/.f64 (pow.f64 x 5) eps) eps)))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (*.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 1/2 (/.f64 (pow.f64 eps 2) x))
(.f64 1/2 (/.f64 (.f64 eps eps) x))
(*.f64 1/2 (/.f64 eps (/.f64 x eps)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)) (+.f64 (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(.f64 -2 (.f64 eps x))
(.f64 eps (.f64 x -2))
(+.f64 (.f64 -2 (.f64 eps x)) (*.f64 -8 (pow.f64 x 3)))
(fma.f64 -2 (.f64 eps x) (.f64 (pow.f64 x 3) -8))
(+.f64 (.f64 -2 (.f64 eps x)) (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -32 (/.f64 (pow.f64 x 5) eps))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (.f64 -32 (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -2 (.f64 eps x)) (+.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 2))) (*.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 -128 (/.f64 (pow.f64 x 7) (.f64 eps eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 -128 (/.f64 (/.f64 (pow.f64 x 7) eps) eps) (.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(.f64 -2 (.f64 eps x))
(.f64 eps (.f64 x -2))
(+.f64 (.f64 -2 (.f64 eps x)) (*.f64 -8 (pow.f64 x 3)))
(fma.f64 -2 (.f64 eps x) (.f64 (pow.f64 x 3) -8))
(+.f64 (.f64 -2 (.f64 eps x)) (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -32 (/.f64 (pow.f64 x 5) eps))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (.f64 -32 (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -2 (.f64 eps x)) (+.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 2))) (*.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 -128 (/.f64 (pow.f64 x 7) (.f64 eps eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 -128 (/.f64 (/.f64 (pow.f64 x 7) eps) eps) (.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(.f64 -2 (.f64 eps x))
(.f64 eps (.f64 x -2))
(+.f64 (.f64 -2 (.f64 eps x)) (*.f64 -8 (pow.f64 x 3)))
(fma.f64 -2 (.f64 eps x) (.f64 (pow.f64 x 3) -8))
(+.f64 (.f64 -2 (.f64 eps x)) (+.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -32 (/.f64 (pow.f64 x 5) eps))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (.f64 -32 (/.f64 (pow.f64 x 5) eps))))
(+.f64 (.f64 -2 (.f64 eps x)) (+.f64 (.f64 -8 (pow.f64 x 3)) (+.f64 (.f64 -128 (/.f64 (pow.f64 x 7) (pow.f64 eps 2))) (*.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 -128 (/.f64 (pow.f64 x 7) (.f64 eps eps)) (*.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(fma.f64 -2 (.f64 eps x) (fma.f64 -8 (pow.f64 x 3) (fma.f64 -128 (/.f64 (/.f64 (pow.f64 x 7) eps) eps) (.f64 -32 (/.f64 (pow.f64 x 5) eps)))))
(*.f64 1/2 (/.f64 (pow.f64 eps 2) x))
(.f64 1/2 (/.f64 (.f64 eps eps) x))
(*.f64 1/2 (/.f64 eps (/.f64 x eps)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)) (+.f64 (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(*.f64 1/2 (/.f64 (pow.f64 eps 2) x))
(.f64 1/2 (/.f64 (.f64 eps eps) x))
(*.f64 1/2 (/.f64 eps (/.f64 x eps)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))
(+.f64 (.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 eps 2) x)) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 (.f64 eps eps) x) (fma.f64 1/8 (/.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5))))))
(fma.f64 1/128 (/.f64 (pow.f64 eps 5) (pow.f64 x 7)) (+.f64 (fma.f64 1/2 (/.f64 eps (/.f64 x eps)) (/.f64 1/8 (pow.f64 (/.f64 x eps) 3))) (*.f64 1/32 (/.f64 (pow.f64 eps 4) (pow.f64 x 5)))))
(/.f64 -1/2 x)
(*.f64 2 (/.f64 x eps))
(*.f64 2 (/.f64 x eps))
(*.f64 2 (/.f64 x eps))
(/.f64 -1/2 x)
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(/.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (.f64 1 (-.f64 (.f64 2 (/.f64 x eps)) (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (fma.f64 2 (/.f64 x eps) (neg.f64 (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (/.f64 1/4 (.f64 x x))) (-.f64 (*.f64 2 (/.f64 x eps)) (/.f64 -1/2 x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))) (-.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))) (-.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))) (.f64 1 (-.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))) (-.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) (.f64 (pow.f64 (/.f64 x eps) 3) 8)) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)))) (+.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) 64) (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)))) (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 x eps) 3) (.f64 64 (pow.f64 (/.f64 x eps) 3))) (/.f64 (/.f64 1/64 (pow.f64 x 3)) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (*.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)))) (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (pow.f64 (.f64 2 (/.f64 x eps)) 2)) (.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (.f64 (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)) (+.f64 (/.f64 1/4 (.f64 x x)) (pow.f64 (*.f64 2 (/.f64 x eps)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 4) (.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (/.f64 1/4 (.f64 x x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 4) (/.f64 (/.f64 1/16 (.f64 x x)) (.f64 x x))) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (/.f64 1/4 (*.f64 x x))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (-.f64 (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (.f64 (*.f64 2 (/.f64 x eps)) (/.f64 -1/2 x)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 2 (/.f64 x eps))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 (/.f64 x eps) (/.f64 -1 x)))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) (pow.f64 (/.f64 -1/2 x) 3)) (.f64 1 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (-.f64 (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (.f64 (.f64 2 (/.f64 x eps)) (/.f64 -1/2 x))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (*.f64 2 (/.f64 x eps))))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 -1/8 (pow.f64 x 3))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (-.f64 (/.f64 1/4 (.f64 x x)) (*.f64 (/.f64 x eps) (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)) 3)) (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (-.f64 (.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x))) (.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)) 3)) (.f64 1 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (-.f64 (.f64 (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x))) (*.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) (pow.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) 3)) (+.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2) (*.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (-.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3)) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) (.f64 (pow.f64 (/.f64 x eps) 3) 8)) (+.f64 (.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))) (.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) (/.f64 1/8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (/.f64 x eps) 3) 3) 512) (/.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 x eps) 3) (pow.f64 (/.f64 x eps) 3)) 64) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 1/8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x eps) 3) 8) 3) (/.f64 1/512 (pow.f64 (pow.f64 x 3) 3))) (.f64 (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (.f64 (/.f64 1/2 x) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)))) (+.f64 (.f64 (pow.f64 (/.f64 x eps) 3) (.f64 64 (pow.f64 (/.f64 x eps) 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 (/.f64 x eps) 3) 8 (/.f64 1/8 (pow.f64 x 3)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3)) (.f64 (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)) (+.f64 (.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (pow.f64 (.f64 2 (/.f64 x eps)) 2)) (+.f64 (.f64 (/.f64 1/4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (/.f64 1/4 (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) 3) (/.f64 1/64 (pow.f64 (.f64 x x) 3))) (.f64 (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 4) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (/.f64 1/4 (.f64 x x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) 3) (/.f64 1/64 (pow.f64 (.f64 x x) 3))) (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x))) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 4) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (pow.f64 (.f64 2 (/.f64 x eps)) 2) (/.f64 1/4 (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 2 x) x) (.f64 eps 1/2)) (.f64 eps x))
(/.f64 (-.f64 (.f64 x (.f64 x 2)) (.f64 1/2 eps)) (.f64 eps x))
(/.f64 (-.f64 (.f64 (.f64 2 x) x) (.f64 eps 1/2)) (.f64 1 (*.f64 eps x)))
(/.f64 (-.f64 (.f64 x (.f64 x 2)) (.f64 1/2 eps)) (.f64 eps x))
(pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 1)
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(pow.f64 (sqrt.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) 2)
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) 3)
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(pow.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3) 1/3)
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(sqrt.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)))))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(cbrt.f64 (pow.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) 3))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(expm1.f64 (log1p.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(exp.f64 (log.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) 1))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(log1p.f64 (expm1.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(fma.f64 (/.f64 x eps) 2 (/.f64 -1/2 x))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(fma.f64 1 (*.f64 2 (/.f64 x eps)) (/.f64 -1/2 x))
(fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))
(fma.f64 1 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(+.f64 (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) (sqrt.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(+.f64 (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (.f64 2 (/.f64 x eps))) (sqrt.f64 (.f64 2 (/.f64 x eps))) (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) 2) (cbrt.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x))) (+.f64 (/.f64 1/2 x) (/.f64 -1/2 x)))
(+.f64 (fma.f64 2 (/.f64 x eps) (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 1/2 x)))
(+.f64 (fma.f64 2 (/.f64 x eps) (/.f64 1/2 x)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 x eps))) 2) (cbrt.f64 (.f64 2 (/.f64 x eps))) (/.f64 -1/2 x))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(-.f64 (*.f64 x x) eps)
✓	0.39%	(.f64 eps (.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (/.f64 1 eps)))
	0.42%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.57%	(.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 eps))

Compiler

Compiled 70 to 17 computations (75.7% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

12 calls:

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

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

974×	`associate-/l/`
944×	`associate-/r/`
942×	`distribute-lft-in`
344×	`associate-+l+`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	76
1	312	58
2	4591	58

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify241.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

996×	`associate-+r+`
880×	`associate-+l+`
858×	`+-commutative`
730×	`associate-/r*`
728×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	7821
1	1399	7037
2	6265	7037

Stop Event

1×	node limit

Counts

159 → 265

Calls

Call 1

Inputs
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (.f64 -1 (/.f64 x (.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/128 (pow.f64 eps 3)) (.f64 -1/32 (pow.f64 eps 3))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))))
(*.f64 2 (/.f64 x eps))
(-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 2 (/.f64 x eps)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 (pow.f64 eps 2) (pow.f64 x 5)))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 eps) (.f64 1/8 eps))) (pow.f64 x 5))) (+.f64 (.f64 2 (/.f64 x eps)) (.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))))) (*.f64 1/2 (/.f64 1 x)))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) eps))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (sqrt.f64 -1))))) (pow.f64 x 3)) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 eps)) (+.f64 (.f64 -1 (/.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 eps))))) (pow.f64 x 2))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/32 (pow.f64 eps 4)) (.f64 -1/128 (pow.f64 eps 4))) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(*.f64 2 x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (pow.f64 eps 2)) 2) (.f64 1/16 (pow.f64 eps 4))) (.f64 eps (pow.f64 x 5)))) (.f64 -1/4 (/.f64 (.f64 eps (+.f64 (.f64 -1/4 (pow.f64 eps 2)) (*.f64 1/8 (pow.f64 eps 2)))) (pow.f64 x 5)))))))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 -1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(+.f64 (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 1 (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 x x)) (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(+.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (/.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 eps (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 eps (.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1))
(/.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps)
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 1 (/.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps))
(/.f64 1 (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps) eps))
(/.f64 1 (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps) (neg.f64 (neg.f64 eps))))
(/.f64 1 (.f64 (/.f64 eps (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))
(/.f64 (/.f64 1 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
(/.f64 (pow.f64 eps -1/2) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps) (sqrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps -1/2)))
(/.f64 (sqrt.f64 eps) (.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))))
(/.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (sqrt.f64 eps) (.f64 (/.f64 eps (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (sqrt.f64 eps)))
(/.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 1 (cbrt.f64 eps))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 2) (.f64 eps (cbrt.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))))
(/.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (*.f64 eps eps))
(/.f64 (neg.f64 eps) (.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 eps) (neg.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (neg.f64 eps) (.f64 (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1))
(/.f64 -1 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 -1 (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps) (neg.f64 eps)))
(/.f64 -1 (.f64 (neg.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps)))
(/.f64 -1 (.f64 eps (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps))))
(/.f64 (sqrt.f64 (neg.f64 eps)) (.f64 (/.f64 eps (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1) (.f64 eps eps))
(/.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) -1) (.f64 eps (neg.f64 eps)))
(/.f64 (.f64 eps -1) (.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (neg.f64 eps)))
(/.f64 (.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) -1) (neg.f64 eps))
(/.f64 (.f64 (/.f64 1 eps) (neg.f64 eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 (neg.f64 eps) 1) (.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (neg.f64 eps) 1) (.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) eps))
(/.f64 (.f64 (neg.f64 eps) (/.f64 1 eps)) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (.f64 -1 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 eps))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (/.f64 1 (cbrt.f64 (.f64 eps eps))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) (cbrt.f64 eps)))
(/.f64 (/.f64 eps (.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 eps))
(/.f64 (/.f64 eps (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (cbrt.f64 eps))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (neg.f64 eps) -1) (.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (neg.f64 eps)))
(/.f64 (neg.f64 (neg.f64 eps)) (.f64 eps (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (neg.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (neg.f64 eps))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) -1)
(pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (pow.f64 (/.f64 1 eps) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 eps) 3) (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (.f64 (-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 -1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 x x)) (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(+.f64 (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))
(/.f64 (sqrt.f64 eps) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 eps -1/2)))
(/.f64 (sqrt.f64 eps) (.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps)))
(/.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 1 (cbrt.f64 eps))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))))
(/.f64 (.f64 eps eps) (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (neg.f64 eps) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(/.f64 -1 (.f64 1 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps))))
(/.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) eps)
(/.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (neg.f64 eps))
(/.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (neg.f64 eps)) (.f64 1 (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))

Outputs
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5)))))
(+.f64 (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 (.f64 1/16 (.f64 eps eps)) (pow.f64 x 5)))
(fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps)) (/.f64 1/2 x)))
(+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7))) (+.f64 (.f64 1/8 (/.f64 eps (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 5))))))
(fma.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7)) (+.f64 (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (/.f64 1/2 x)) (/.f64 (.f64 1/16 (.f64 eps eps)) (pow.f64 x 5))))
(fma.f64 5/128 (/.f64 (pow.f64 eps 3) (pow.f64 x 7)) (fma.f64 1/8 (/.f64 eps (pow.f64 x 3)) (fma.f64 1/16 (/.f64 eps (/.f64 (pow.f64 x 5) eps)) (/.f64 1/2 x))))
(*.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)))
(/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1))
(+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps))))
(fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) eps)))
(-.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (/.f64 x (neg.f64 eps)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -1 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 2))) (+.f64 (.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps))) (.f64 -1 (/.f64 x (*.f64 (pow.f64 (sqrt.f64 -1) 2) eps)))))
(fma.f64 -1 (.f64 (.f64 (/.f64 (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (pow.f64 (sqrt.f64 -1) 3)) -1/2) (.f64 x x)) (fma.f64 (/.f64 1 (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 eps)) (neg.f64 (/.f64 (/.f64 x (pow.f64 (sqrt.f64 -1) 2)) eps))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 eps)) (sqrt.f64 -1)) (/.f64 x (neg.f64 eps))) (.f64 (.f64 -1 (/.f64 (sqrt.f64 (pow.f64 (/.f64 1 eps) 3)) (sqrt.f64 -1))) (.f64 -1/2 (.f64 x x))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (pow.f64 (/.f64 1 eps) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (/.f64 1 (pow.f64 eps 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 eps) 3) (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (/.f64 1 (pow.f64 eps 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (pow.f64 (/.f64 1 eps) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (.f64 (-.f64 0 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1 (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (+.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))))
(+.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/2))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 eps (+.f64 eps 0))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 eps (+.f64 eps 0)) (+.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 -1 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 eps (+.f64 eps 0)) (+.f64 x (neg.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(.f64 (/.f64 eps (+.f64 eps 0)) (+.f64 x (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (neg.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)))))
(-.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) 1/2))
(+.f64 (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) x) (.f64 (/.f64 eps (+.f64 eps (-.f64 (.f64 x x) (.f64 x x)))) (.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 eps (+.f64 eps 0)) (+.f64 x (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (neg.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))))))
(fma.f64 (neg.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(+.f64 (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 x x)) (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))))
(+.f64 (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 x x)))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (.f64 x x) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (sqrt.f64 eps) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (sqrt.f64 eps)))
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 eps))
(.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (sqrt.f64 eps) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (pow.f64 eps -1/2)))
(/.f64 (sqrt.f64 eps) (.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 eps))))
(.f64 (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 eps))
(.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 eps)))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))
(.f64 (cbrt.f64 eps) (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (/.f64 1 (cbrt.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))
(.f64 (cbrt.f64 eps) (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (cbrt.f64 (.f64 eps eps)) (.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) (cbrt.f64 eps))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))
(.f64 (cbrt.f64 eps) (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (.f64 eps eps) (.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 eps) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 eps) (.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 -1 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 -1 (.f64 1 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1) eps)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 (/.f64 (.f64 eps eps) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) -1) (neg.f64 eps))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (.f64 (neg.f64 eps) 1) (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 eps (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2))) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))))
(/.f64 eps (.f64 (cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 2)) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (neg.f64 (neg.f64 eps)) (.f64 1 (neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(cbrt.f64 (.f64 (pow.f64 eps 3) (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3)))
(cbrt.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 3))))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 3) (pow.f64 eps 3)))
(cbrt.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 3))))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

eval779.0ms (8.1%)

Compiler: Compiled 46338 to 22504 computations (51.4% saved)

prune496.0ms (5.2%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1747	15	1762
Fresh	1	3	4
Picked	1	0	1
Done	2	6	8
Total	1751	24	1775

Error

Counts

1775 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	84.29%	(/.f64 (/.f64 (.f64 eps (.f64 1/2 eps)) x) eps)
	79.5%	(/.f64 (/.f64 (*.f64 1/2 eps) (/.f64 x eps)) eps)
	95.17%	(/.f64 (/.f64 eps (/.f64 -1/2 x)) eps)
	80.38%	(/.f64 (/.f64 1/2 (/.f64 (/.f64 x eps) eps)) eps)
	79.46%	(/.f64 (.f64 1/2 (.f64 (/.f64 eps x) eps)) eps)
	84.25%	(/.f64 (.f64 1/2 (.f64 (/.f64 1 (neg.f64 x)) (*.f64 eps (neg.f64 eps)))) eps)
	95.17%	(/.f64 (.f64 -2 (.f64 eps x)) eps)
	52.49%	(/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x))
✓	0.42%	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	40.84%	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	88.42%	(/.f64 eps x)
✓	0.58%	(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
	52.64%	(/.f64 1 (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x))))
	53.29%	(/.f64 1 (*.f64 2 (/.f64 x eps)))
✓	40.72%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	44.21%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	63.1%	(.f64 (/.f64 (/.f64 eps eps) (-.f64 (.f64 (.f64 2 x) x) (.f64 eps 1/2))) (*.f64 eps x))
	79.5%	(*.f64 (/.f64 1/2 (neg.f64 eps)) (/.f64 (neg.f64 eps) (/.f64 x eps)))
	53.27%	(*.f64 (/.f64 1/2 x) eps)
	79.45%	(.f64 (/.f64 1/2 eps) (.f64 eps (/.f64 eps x)))
	94.81%	(*.f64 x -2)
	53.36%	(.f64 eps (.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 1 eps)))
✓	53.1%	(*.f64 1/2 (/.f64 eps x))
	96.49%	x

Compiler

Compiled 251 to 168 computations (33.1% saved)

regimes63.0ms (0.7%)

Counts

39 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	eps
18.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
17.0ms	x

Results

Error	Segments	Branch
0.42%	1	`x`
0.42%	1	`eps`
0.42%	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 441 to 191 computations (56.7% saved)

regimes130.0ms (1.3%)

Counts

27 → 2

Calls

Call 1

Inputs
x
(*.f64 x -2)
(*.f64 x 2)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1 (*.f64 2 (/.f64 x eps)))
(/.f64 (.f64 -2 (.f64 eps x)) eps)
(/.f64 (/.f64 eps (/.f64 -1/2 x)) eps)
(.f64 (/.f64 1/2 eps) (.f64 eps (/.f64 eps x)))
(/.f64 (.f64 1/2 (.f64 (/.f64 eps x) eps)) eps)
(/.f64 (.f64 1/2 (/.f64 (.f64 eps eps) x)) eps)
(/.f64 (/.f64 1/2 (/.f64 (/.f64 x eps) eps)) eps)
(/.f64 (/.f64 eps (*.f64 2 (/.f64 x eps))) eps)
(/.f64 (/.f64 (*.f64 1/2 eps) (/.f64 x eps)) eps)
(/.f64 (/.f64 (.f64 eps (.f64 1/2 eps)) x) eps)
(.f64 eps (.f64 (*.f64 1/2 (/.f64 eps x)) (/.f64 1 eps)))
(*.f64 (/.f64 1/2 (neg.f64 eps)) (/.f64 (neg.f64 eps) (/.f64 x eps)))
(/.f64 1 (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x))))
(/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x))
(/.f64 (.f64 1/2 (.f64 (/.f64 1 (neg.f64 x)) (*.f64 eps (neg.f64 eps)))) eps)
(/.f64 (/.f64 eps (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x)))) eps)
(.f64 (/.f64 (/.f64 eps eps) (-.f64 (.f64 (.f64 2 x) x) (.f64 eps 1/2))) (*.f64 eps x))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))

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

Calls

3 calls:

69.0ms	eps
26.0ms	x
25.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
7.22%	2	`x`
15.64%	4	`eps`
0.95%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 244 to 130 computations (46.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-7.560233839833806e-153	-3.1674312180162354e-161

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes89.0ms (0.9%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

59.0ms	eps
25.0ms	x

Results

Error	Segments	Branch
8.28%	2	`x`
15.73%	4	`eps`

Compiler

Compiled 217 to 117 computations (46.1% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.3465139058981587e-95	7.687952375112395e-95

Results

7.0ms	74×	body	256	valid
3.0ms	22×	body	512	valid
1.0ms	8×	body	256	invalid

Compiler

Compiled 159 to 112 computations (29.6% saved)

regimes30.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
12.0ms	eps

Results

Error	Segments	Branch
52.49%	1	`x`
52.49%	1	`eps`

Compiler

Compiled 205 to 113 computations (44.9% saved)

regimes23.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
9.0ms	eps

Results

Error	Segments	Branch
52.64%	1	`x`
52.64%	1	`eps`

Compiler

Compiled 147 to 79 computations (46.3% saved)

regimes22.0ms (0.2%)

Counts

18 → 1

Calls

Call 1

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

Outputs
(*.f64 1/2 (/.f64 eps x))

Calls

2 calls:

10.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
53.1%	1	`x`
53.1%	1	`eps`

Compiler

Compiled 134 to 70 computations (47.8% saved)

regimes9.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
88.42%	1	`x`
88.42%	1	`eps`

Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(*.f64 x -2)

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
94.81%	1	`x`
94.81%	1	`eps`

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative`
28×	`+-commutative`
18×	`sub-neg`
12×	`neg-mul-1`
12×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	283
1	70	283
2	94	283
3	107	283
4	113	283
5	114	283

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x)))
(if (<=.f64 x 14091255496643/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x)))
(/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x))
(/.f64 1 (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
x

Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (/.f64 (+.f64 (.f64 x (.f64 x 2)) (*.f64 -1/2 eps)) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -4717453031026927/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (/.f64 (+.f64 (.f64 x (.f64 x 2)) (*.f64 eps -1/2)) x)))
(if (<=.f64 x 14091255496643/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x)))
(if (<=.f64 x 14091255496643/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (/.f64 (+.f64 (.f64 x (.f64 x 2)) (*.f64 -1/2 eps)) x)))
(if (<=.f64 x 14091255496643/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (/.f64 (+.f64 (.f64 x (.f64 x 2)) (*.f64 eps -1/2)) x)))
(/.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x 2)) (*.f64 1/2 eps)) x))
(/.f64 eps (/.f64 (+.f64 (.f64 x (.f64 x 2)) (*.f64 -1/2 eps)) x))
(/.f64 eps (/.f64 (+.f64 (.f64 x (.f64 x 2)) (*.f64 eps -1/2)) x))
(/.f64 1 (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x))))
(/.f64 1 (+.f64 (.f64 2 (/.f64 x eps)) (.f64 -1/2 (/.f64 1 x))))
(/.f64 1 (+.f64 (.f64 2 (/.f64 x eps)) (.f64 (/.f64 1 x) -1/2)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
x

Compiler

Compiled 120 to 76 computations (36.7% saved)

soundness174.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1080×	`associate-+r-`
980×	`associate-+r+`
968×	`fma-def`
964×	`+-commutative`
740×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	13411
1	1695	12657
2	7887	12657
0	479	9289
1	1451	8639
2	6672	8639

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 136 to 38 computations (72.1% saved)

end56.0ms (0.6%)

Compiler: Compiled 104 to 56 computations (46.2% saved)

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	103	46
5	219	46
6	570	46
7	713	46
8	908	46
9	944	46
10	954	46
0	2	2

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	57	23
5	105	23
6	271	23
7	353	23
8	440	23
9	529	23
10	577	23
11	581	23

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	103	46
5	219	46
6	570	46
7	713	46
8	908	46
9	944	46
10	954	46
0	2	2

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	57	23
5	105	23
6	271	23
7	353	23
8	440	23
9	529	23
10	577	23
11	581	23

Iter	Nodes	Cost
0	13	46
1	24	46
2	38	46
3	66	46
4	103	46
5	219	46
6	570	46
7	713	46
8	908	46
9	944	46
10	954	46
0	2	2

Iter	Nodes	Cost
0	9	23
1	15	23
2	23	23
3	37	23
4	57	23
5	105	23
6	271	23
7	353	23
8	440	23
9	529	23
10	577	23
11	581	23