Details

analyze20.0ms (0.3%)

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 (20%)

Results

717.0ms	5931×	body	256	valid
308.0ms	1128×	body	1024	valid
274.0ms	1165×	body	512	valid
16.0ms	161×	body	256	invalid
13.0ms	32×	body	2048	valid

Bogosity

preprocess32.0ms (0.5%)

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)

simplify25.0ms (0.4%)

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

25.6b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	4.0b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series6.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite99.0ms (1.5%)

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	53
1	200	53
2	2841	53

Stop Event

1×	node limit

Counts

3 → 243

Calls

Call 1

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

Outputs
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Outputs

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simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1136×	`fma-def`
898×	`associate-r`
678×	`associate-l`
616×	`associate-/l*`
558×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	15441
1	1874	14569

Stop Event

1×	node limit

Counts

299 → 421

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)))))
(+.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 1/2 (/.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))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.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))))) (+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
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(/.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 4) (.f64 eps (fma.f64 x x eps))) (/.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps))) (-.f64 (*.f64 x x) eps)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (/.f64 (fma.f64 x x eps) (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (/.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 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (/.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 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (+.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 x 4) (pow.f64 x 4)) (.f64 (.f64 eps eps) (.f64 eps eps))) (.f64 (fma.f64 x x eps) (+.f64 (pow.f64 x 4) (.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (.f64 x x)))))
(/.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 (.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 4) 3) (pow.f64 (.f64 eps eps) 3)) (.f64 (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 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (neg.f64 (fma.f64 x x eps)))
(/.f64 (neg.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 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 6) (pow.f64 (neg.f64 eps) 3))) (+.f64 (pow.f64 x 4) (.f64 (neg.f64 eps) (-.f64 (neg.f64 eps) (*.f64 x x)))))
(/.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 (.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 (.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 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) 1) (neg.f64 (fma.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 (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 (.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 (.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 (.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 (.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 (.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 (.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 (-.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)
(-.f64 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)))) 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 x (/.f64 (sqrt.f64 -1) x))) 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 x (/.f64 (sqrt.f64 -1) x))) (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 (*.f64 (pow.f64 eps 3) 1/16) (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))))))
(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 (.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5)))))
(*.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 (*.f64 eps -1/2) x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 x) (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(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 -1/8 (.f64 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 (*.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5))))
(+.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 (.f64 (pow.f64 eps 3) 1/16) (pow.f64 x 5)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (*.f64 x x) (sqrt.f64 -1))) 1/2))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1/2) (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.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 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (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)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) 1/2)))
(fma.f64 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) 1/2) (/.f64 x (/.f64 (sqrt.f64 -1) x)) (*.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 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 -1/8 (.f64 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (fma.f64 (sqrt.f64 eps) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 (.f64 x x) (sqrt.f64 -1))) (.f64 1/16 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))))
(fma.f64 (.f64 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8 (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 eps)) (/.f64 x (/.f64 (sqrt.f64 -1) x))) 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (.f64 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) 1/16)))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(fma.f64 -1/2 (/.f64 eps x) x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x))
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(/.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 (.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (sqrt.f64 (fma.f64 x x eps))) (sqrt.f64 (-.f64 (*.f64 x x) 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)))) (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.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 (pow.f64 (-.f64 (.f64 x x) eps) 2)) (/.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 4) (.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 2)))
(/.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 (/.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (cbrt.f64 (fma.f64 x x eps))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 4))
(/.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)))) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 4))
(/.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 (fma.f64 eps eps (pow.f64 x 4)) (-.f64 (.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 (*.f64 eps 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 (-.f64 (pow.f64 x 12) (pow.f64 eps 6)) (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))) (+.f64 (pow.f64 x 12) (fma.f64 (pow.f64 eps 3) (pow.f64 x 6) (pow.f64 eps 6))))
(/.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)

eval132.0ms (2%)

Compiler: Compiled 10455 to 3934 computations (62.4% saved)

prune80.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	413	8	421
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	413	9	422

Error

0.0b

Counts

422 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.0b	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
▶	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	25.6b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
✓	25.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	28.3b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.3b	(-.f64 x x)
	0.4b	(.f64 (+.f64 eps (.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	61.8b	(*.f64 x 2)
▶	34.3b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 182 to 124 computations (31.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x x) eps)
	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 42 to 12 computations (71.4% saved)

series6.0ms (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))))
1.0ms	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))))

rewrite91.0ms (1.3%)

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
((#(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 (/.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 (sqrt.f64 eps) (/.f64 (sqrt.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 (cbrt.f64 (.f64 eps eps)) (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 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (/.f64 1 (+.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 (fma.f64 x x eps) (.f64 x x))))))) (#(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 x x) (+.f64 eps (.f64 x (sqrt.f64 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Outputs

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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)))))

simplify125.0ms (1.9%)

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

localize6.0ms (0.1%)

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps))))
✓	0.1b	(/.f64 1 (-.f64 (*.f64 x x) eps))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))
✓	6.7b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))

Compiler

Compiled 51 to 22 computations (56.9% saved)

series4.0ms (0.1%)

Counts

4 → 80

Calls

24 calls:

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

rewrite114.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`associate-*l/`
1078×	`*-commutative`
694×	`distribute-lft-in`
684×	`associate-/r*`
512×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	72
1	270	72
2	3436	72

Stop Event

1×	node limit

Counts

4 → 283

Calls

Call 1

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

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

simplify136.0ms (2%)

Algorithm

1×	egg-herbie

Rules

984×	`associate-r`
814×	`associate-l`
706×	`+-commutative`
680×	`*-commutative`
626×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	780	17287
1	2238	16859

Stop Event

1×	node limit

Counts

363 → 536

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

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
✓	24.4b	(/.f64 (*.f64 eps eps) (pow.f64 x 3))

Compiler

Compiled 42 to 21 computations (50% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
1.0ms	eps	@	0	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
1.0ms	x	@	0	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
1.0ms	eps	@	inf	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
0.0ms	x	@	inf	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))

rewrite71.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`associate-*l/`
1782×	`associate-/l*`
300×	`distribute-rgt-in`
292×	`add-sqr-sqrt`
286×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	303	58
2	3823	58

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))

Outputs

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

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

simplify63.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1510×	`associate-/l*`
1132×	`associate-*r/`
950×	`associate-/r*`
900×	`*-commutative`
752×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	3896
1	509	3690
2	2033	3598

Stop Event

1×	node limit

Counts

120 → 106

Calls

Call 1

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

Outputs
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(/.f64 (pow.f64 eps 2) (pow.f64 x 3))
(/.f64 (*.f64 eps eps) (pow.f64 x 3))
(*.f64 (/.f64 eps (pow.f64 x 3)) eps)
(/.f64 eps (/.f64 (pow.f64 x 3) eps))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (/.f64 x 1/2))
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x 3))
(.f64 (.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8)
(*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8)
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
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(fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
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(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x 3))
(.f64 (.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8)
(*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8)
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(/.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x 3))
(.f64 (.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8)
(*.f64 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) 1/8)
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(+.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 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
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(fma.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) eps) 1/8 (/.f64 1/2 (/.f64 x eps)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (/.f64 x 1/2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
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(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(*.f64 1/2 (/.f64 eps x))
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(/.f64 (fma.f64 (.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3) (.f64 1/8 (pow.f64 (/.f64 eps x) 3))) (-.f64 (fma.f64 (.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (.f64 (.f64 (pow.f64 x -3) (*.f64 eps eps)) (/.f64 1/16 (/.f64 x eps)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3)) (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3))) (.f64 1/4 (pow.f64 (/.f64 eps x) 2))) 1) (-.f64 (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3)) (*.f64 eps (/.f64 1/2 x))))
(/.f64 (+.f64 (.f64 (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3)))) (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))))) (.f64 -1/4 (pow.f64 (/.f64 eps x) 2))) (-.f64 (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3)))) (.f64 eps (/.f64 1/2 x))))
(/.f64 (fma.f64 (.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (-.f64 (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))) (/.f64 1/2 (/.f64 x eps))))
(/.f64 (fma.f64 (.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (.f64 (pow.f64 (/.f64 eps x) 2) -1/4)) (.f64 eps (+.f64 (.f64 1/8 (*.f64 eps (pow.f64 x -3))) (/.f64 -1/2 x))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3)) 3)) 1) (+.f64 (.f64 (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3)) (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3))) (-.f64 (.f64 1/4 (pow.f64 (/.f64 eps x) 2)) (.f64 (.f64 (.f64 1/8 (.f64 eps eps)) (pow.f64 x -3)) (.f64 eps (/.f64 1/2 x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/2 x)) 3) (pow.f64 (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3)))) 3)) (fma.f64 (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3)))) (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3)))) (-.f64 (.f64 (pow.f64 (/.f64 eps x) 2) 1/4) (.f64 (.f64 eps (/.f64 1/2 x)) (.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))))))))
(/.f64 (fma.f64 (.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3) (pow.f64 (/.f64 1/2 (/.f64 x eps)) 3)) (fma.f64 (.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (fma.f64 (pow.f64 (/.f64 eps x) 2) 1/4 (.f64 (/.f64 1/2 (/.f64 x eps)) (.f64 (pow.f64 x -3) (.f64 (.f64 eps eps) -1/8))))))
(/.f64 (fma.f64 (.f64 (pow.f64 eps 6) 1/512) (pow.f64 (pow.f64 x -3) 3) (.f64 1/8 (pow.f64 (/.f64 eps x) 3))) (-.f64 (fma.f64 (.f64 (pow.f64 eps 4) 1/64) (pow.f64 x -6) (.f64 (pow.f64 (/.f64 eps x) 2) 1/4)) (.f64 (.f64 (pow.f64 x -3) (*.f64 eps eps)) (/.f64 1/16 (/.f64 x eps)))))
(pow.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x))) 1)
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(pow.f64 (sqrt.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x)))) 2)
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(pow.f64 (cbrt.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x)))) 3)
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(pow.f64 (pow.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x))) 3) 1/3)
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(sqrt.f64 (pow.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x))) 2))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(log.f64 (exp.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x))))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(cbrt.f64 (pow.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x))) 3))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(expm1.f64 (log1p.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(exp.f64 (log.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (.f64 eps (/.f64 1/2 x)))) 1))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))
(log1p.f64 (expm1.f64 (fma.f64 1/8 (.f64 eps (.f64 eps (pow.f64 x -3))) (*.f64 eps (/.f64 1/2 x)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 eps (*.f64 eps (pow.f64 x -3)))))
(fma.f64 eps (/.f64 1/2 x) (.f64 1/8 (.f64 (pow.f64 x -3) (*.f64 eps eps))))
(.f64 eps (+.f64 (/.f64 1/2 x) (.f64 (pow.f64 x -3) (*.f64 eps 1/8))))

eval431.0ms (6.4%)

Compiler: Compiled 28097 to 11811 computations (58% saved)

prune358.0ms (5.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1135	8	1143
Fresh	1	2	3
Picked	1	0	1
Done	2	3	5
Total	1139	13	1152

Error

Counts

1152 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	33.9b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
▶	26.5b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))
	4.0b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))))
▶	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	34.4b	(/.f64 1/2 (/.f64 x eps))
	28.4b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 -1 eps))))
✓	25.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	28.3b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.3b	(-.f64 x x)
▶	35.9b	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
	0.4b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
✓	61.8b	(*.f64 x 2)
✓	34.3b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 246 to 167 computations (32.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x x) eps)
	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	0.3b	(/.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))))

rewrite69.0ms (1%)

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))))))))))

simplify59.0ms (0.9%)

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)))
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(.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))))

localize3.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 eps (/.f64 (*.f64 x x) 1/8)) 1/2)
✓	0.1b	(/.f64 (*.f64 x x) 1/8)
✓	0.1b	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
✓	11.8b	(/.f64 eps (/.f64 (*.f64 x x) 1/8))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series41.0ms (0.6%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
33.0ms	x	@	inf	(/.f64 eps (/.f64 (*.f64 x x) 1/8))
2.0ms	eps	@	0	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
1.0ms	x	@	-inf	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
1.0ms	eps	@	0	(/.f64 eps (/.f64 (*.f64 x x) 1/8))
1.0ms	eps	@	inf	(/.f64 eps (/.f64 (*.f64 x x) 1/8))

rewrite99.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`associate-/r/`
638×	`distribute-rgt-in`
602×	`distribute-lft-in`
566×	`associate-/l/`
418×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	281	86
2	4088	86

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

Inputs
(/.f64 eps (/.f64 (*.f64 x x) 1/8))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(/.f64 (*.f64 x x) 1/8)
(+.f64 (/.f64 eps (/.f64 (*.f64 x x) 1/8)) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (/.f64 1/8 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (/.f64 eps (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps x) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 eps x) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (sqrt.f64 eps) x) (sqrt.f64 1/8)) (.f64 (/.f64 (sqrt.f64 eps) x) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 1/8 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))) (pow.f64 (cbrt.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))) 2) (cbrt.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 (cbrt.f64 eps) (/.f64 1/8 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (.f64 x x)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (.f64 eps (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/8 (.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 eps) (neg.f64 (/.f64 1/8 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (.f64 eps 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x x)) (/.f64 eps 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 x) (sqrt.f64 1/8)) (.f64 (/.f64 eps x) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 x 4) 64))) (/.f64 eps (.f64 (pow.f64 (cbrt.f64 x) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps 1) (/.f64 1/8 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (cbrt.f64 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (sqrt.f64 x)) (/.f64 (/.f64 1/8 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/8 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (neg.f64 x))) (.f64 eps -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (.f64 x (neg.f64 x))) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 eps (neg.f64 x)) (neg.f64 (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) 1) (.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 eps) (.f64 x x)) (/.f64 (sqrt.f64 eps) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (.f64 (/.f64 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(/.f64 x (.f64 (sqrt.f64 eps) (/.f64 1/8 x)))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (/.f64 (.f64 x x) (.f64 (pow.f64 (cbrt.f64 eps) 2) 1/8))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (.f64 x (.f64 x 8))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 eps) -1) (/.f64 1/8 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 eps) (.f64 x x)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) 1) (/.f64 1/8 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) (sqrt.f64 x)) (/.f64 (/.f64 1/8 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) (cbrt.f64 (pow.f64 x 4))) (/.f64 1/8 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 eps 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1/8 x) (cbrt.f64 x)))))) (#(struct:change 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(pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 eps x) (/.f64 1/8 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) (.f64 (/.f64 eps x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 eps x) 1/2) (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 1) (.f64 (.f64 (/.f64 eps x) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 eps x) 1/2) 1) (.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 1)) (.f64 1 (.f64 (.f64 (/.f64 eps x) 1/2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x)) 1) 1) (.f64 (.f64 (.f64 (/.f64 eps x) 1/2) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 eps x) (fma.f64 eps (/.f64 1/8 (.f64 x x)) 1/2)))) 1)))) (#(struct:change #<rule 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simplify161.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-r`
926×	`associate-l`
824×	`*-commutative`
630×	`associate-/l*`
616×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	11068
1	1701	10194
2	7680	10194

Stop Event

1×	node limit

Counts

306 → 299

Calls

Call 1

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

Outputs
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/8 (/.f64 eps (pow.f64 x 2)))
(/.f64 (.f64 1/8 eps) (.f64 x x))
(.f64 eps (/.f64 1/8 (.f64 x x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 (*.f64 1/2 eps) x)
(/.f64 1/2 (/.f64 x eps))
(+.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 (.f64 1/2 eps) x))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 (/.f64 x eps)))
(+.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 (.f64 1/2 eps) x))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 (/.f64 x eps)))
(+.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 (.f64 1/2 eps) x))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 (/.f64 x eps)))
(*.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3)))
(.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)))
(*.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)))
(+.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 (.f64 1/2 eps) x))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 (/.f64 x eps)))
(+.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 (.f64 1/2 eps) x))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 (/.f64 x eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
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(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512) (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512)) 1/64) (.f64 (+.f64 1/4 (.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2))) (-.f64 (.f64 (pow.f64 (/.f64 eps (*.f64 x x)) 3) 1/512) 1/8)))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) (pow.f64 (/.f64 eps (.f64 x x)) 3)) 1/262144) -1/64) (.f64 (+.f64 1/4 (.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2))) (fma.f64 (pow.f64 (/.f64 eps (*.f64 x x)) 3) 1/512 -1/8)))
(/.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 eps (.f64 x x)) 6) 1/262144 -1/64) (fma.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) 1/4)) (fma.f64 (pow.f64 (/.f64 eps (*.f64 x x)) 3) 1/512 -1/8))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2)) 1/16) (.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) (+.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) 1/4)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 4) -1/16) (.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) (+.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) 1/4)))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) 4) -1/16) (.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) (+.f64 (pow.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) 2) 1/4)))
(/.f64 (+.f64 1/512 (pow.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512) 3)) (.f64 (+.f64 1/4 (.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512) (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512)) (-.f64 1/64 (.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512) 1/8)))))
(/.f64 (+.f64 1/512 (.f64 (pow.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 3) 1/134217728)) (.f64 (+.f64 1/4 (.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2))) (+.f64 (.f64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) (pow.f64 (/.f64 eps (.f64 x x)) 3)) 1/262144) (-.f64 1/64 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/4096)))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 3) 1/134217728 1/512) (+.f64 (fma.f64 (pow.f64 (/.f64 eps (.f64 x x)) 6) 1/262144 1/64) (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) -1/4096))) (fma.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) (fma.f64 eps (/.f64 1/8 (*.f64 x x)) -1/2) 1/4))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) 3) 1/64) (.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) (+.f64 (.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2)) (+.f64 1/16 (.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) 1/4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) 3) -1/64) (.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) (+.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 4) (+.f64 1/16 (.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) 1/4)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) 2) 3) -1/64) (.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) (+.f64 (pow.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) 4) (fma.f64 (pow.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) 2) 1/4 1/16))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) -1/4)) (neg.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2)))
(-.f64 (/.f64 (pow.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) 2) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2)) (/.f64 1/4 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) 2) -1/4) (fma.f64 eps (/.f64 1/8 (*.f64 x x)) -1/2))
(/.f64 (neg.f64 (+.f64 1/8 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512))) (neg.f64 (+.f64 1/4 (.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) (fma.f64 eps (/.f64 1/8 (*.f64 x x)) -1/2)))))
(/.f64 (+.f64 1/8 (.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512)) (+.f64 1/4 (.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x)) (fma.f64 eps (/.f64 1/8 (*.f64 x x)) -1/2))))
(/.f64 (fma.f64 (pow.f64 (/.f64 eps (.f64 x x)) 3) 1/512 1/8) (fma.f64 (.f64 eps (/.f64 1/8 (.f64 x x))) (fma.f64 eps (/.f64 1/8 (.f64 x x)) -1/2) 1/4))
(pow.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2) 1)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)) 2)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)) 3)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2) 3) 1/3)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2) 2))
(fabs.f64 (fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2))))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2) 3))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(exp.f64 (log.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 eps (/.f64 1/8 (.f64 x x)) 1/2)) 1))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)))
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(fma.f64 1 (*.f64 (/.f64 eps x) (/.f64 1/8 x)) 1/2)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(fma.f64 (.f64 (/.f64 (sqrt.f64 eps) x) (sqrt.f64 1/8)) (.f64 (/.f64 (sqrt.f64 eps) x) (sqrt.f64 1/8)) 1/2)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))) 2) (cbrt.f64 (.f64 (/.f64 eps x) (/.f64 1/8 x))) 1/2)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)
(fma.f64 (/.f64 eps (*.f64 x x)) 1/8 1/2)
(fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2)
(fma.f64 (/.f64 eps x) (/.f64 1/8 x) 1/2)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.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
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	@	0	(-.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 (0.8%)

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)))))))

simplify58.0ms (0.9%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (neg.f64 eps)))
✓	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series6.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	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))))
1.0ms	eps	@	0	(/.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))))

rewrite101.0ms (1.5%)

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)))))))

simplify104.0ms (1.5%)

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))))
(+.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 (sqrt.f64 (pow.f64 eps 5)) (/.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 4)))))))
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(-.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))

eval391.0ms (5.8%)

Compiler: Compiled 22792 to 10561 computations (53.7% saved)

prune266.0ms (4%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1025	6	1031
Fresh	3	2	5
Picked	1	0	1
Done	2	5	7
Total	1031	13	1044

Error

Counts

1044 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(/.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2) (/.f64 x eps))
▶	33.9b	(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	26.5b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
▶	4.0b	(/.f64 eps (+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))))
▶	56.5b	(/.f64 eps x)
▶	34.4b	(/.f64 1/2 (/.f64 x eps))
	28.4b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 -1 eps))))
✓	25.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.3b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	35.9b	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
✓	34.3b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 198 to 131 computations (33.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))
✓	0.0b	(+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))))
✓	5.3b	(exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 55 to 9 computations (83.6% saved)

series35.0ms (0.5%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))))
0.0ms	eps	@	inf	(/.f64 eps (+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))))
0.0ms	eps	@	-inf	(/.f64 eps (+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))))
0.0ms	eps	@	-inf	(+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps)))))
0.0ms	eps	@	inf	(sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))

rewrite106.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`associate-*r/`
1306×	`associate-*l/`
930×	`associate-/r*`
760×	`associate-/l*`
290×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	82
1	253	82
2	3474	82

Stop Event

1×	node limit

Counts

4 → 268

Calls

Call 1

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

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

simplify143.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

852×	`associate-r`
848×	`associate-/l*`
636×	`associate-l`
592×	`associate-/r*`
556×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	767	14972
1	1996	14458

Stop Event

1×	node limit

Counts

340 → 473

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1/2 (/.f64 x eps))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`add-sqr-sqrt`
1592×	`*-un-lft-identity`
1492×	`add-cube-cbrt`
1476×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2008	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/l*`
1130×	`distribute-lft-in`
1038×	`distribute-rgt-in`
894×	`associate-+r+`
842×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	706
1	162	706
2	647	706
3	2594	706

Stop Event

1×	node limit

Counts

52 → 29

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 18 computations (55% saved)

series4.0ms (0.1%)

Counts

3 → 54

Calls

18 calls:

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

rewrite121.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`associate-/l*`
920×	`distribute-rgt-in`
890×	`distribute-lft-in`
540×	`associate-/r/`
262×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	63
1	234	63
2	3459	63

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 1 (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (sqrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x x) (pow.f64 (fma.f64 -1/2 (/.f64 eps x) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x))) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (/.f64 eps x) x)) 2) (fma.f64 -1/2 (/.f64 eps x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 eps (-.f64 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simplify160.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

916×	`associate-r`
714×	`associate-l`
674×	`fma-def`
634×	`*-commutative`
576×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	13661
1	1634	11003

Stop Event

1×	node limit

Counts

249 → 312

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sqrt.f64 (neg.f64 eps)))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite60.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`add-sqr-sqrt`
1950×	`*-un-lft-identity`
1824×	`add-cube-cbrt`
1804×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	194	17
2	2827	17

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1082×	`times-frac`
1062×	`associate-+r+`
996×	`associate-+l+`
978×	`associate-/l*`
684×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	1666
1	377	1502
2	1585	1428
3	6599	1428

Stop Event

1×	node limit

Counts

48 → 72

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

eval348.0ms (5.2%)

Compiler: Compiled 24632 to 11092 computations (55% saved)

prune264.0ms (3.9%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1007	4	1011
Fresh	0	3	3
Picked	0	1	1
Done	0	9	9
Total	1007	17	1024

Error

Counts

1024 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(/.f64 (fma.f64 eps (/.f64 1/8 (*.f64 x x)) 1/2) (/.f64 x eps))
	33.9b	(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
✓	33.9b	(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	26.5b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	4.0b	(/.f64 eps (+.f64 x (sqrt.f64 (exp.f64 (log.f64 (-.f64 (*.f64 x x) eps))))))
	60.5b	(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
✓	56.5b	(/.f64 eps x)
✓	34.4b	(/.f64 1/2 (/.f64 x eps))
	28.4b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 -1 eps))))
✓	25.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.3b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	35.9b	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
	34.4b	(*.f64 (/.f64 1/2 x) eps)
	60.5b	(*.f64 x -2)
✓	34.3b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 160 to 107 computations (33.1% saved)

regimes57.0ms (0.8%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	eps
12.0ms	x
12.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`eps`
0.3b	1	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 252 to 112 computations (55.6% saved)

regimes70.0ms (1%)

Counts

18 → 2

Calls

Call 1

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

Calls

3 calls:

32.0ms	x
17.0ms	eps
16.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
6.5b	2	`x`
10.9b	2	`eps`
0.8b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 138 to 71 computations (48.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.5119387760444805e-154	-1.8698305098927124e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes64.0ms (1%)

Counts

15 → 2

Calls

Call 1

Inputs
x
(*.f64 x -2)
(*.f64 x 2)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) 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 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

Calls

2 calls:

39.0ms	eps
22.0ms	x

Results

Error	Segments	Branch
7.1b	2	`x`
10.9b	2	`eps`

Compiler

Compiled 103 to 53 computations (48.5% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	9.950736269637506e-93	1.1739634537125187e-90

Results

8.0ms	83×	body	256	valid
4.0ms	29×	body	512	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 169 to 115 computations (32% saved)

regimes27.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
x
(*.f64 x -2)
(*.f64 x 2)
(-.f64 x x)
(/.f64 eps x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 1/2 x) eps)
(/.f64 1/2 (/.f64 x eps))
(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

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

Calls

2 calls:

7.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
33.9b	1	`x`
33.9b	1	`eps`

Compiler

Compiled 91 to 48 computations (47.3% saved)

regimes15.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	eps
6.0ms	x

Results

Error	Segments	Branch
34.3b	1	`x`
34.3b	1	`eps`

Compiler

Compiled 43 to 23 computations (46.5% saved)

regimes13.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

7.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
56.5b	1	`x`
56.5b	1	`eps`

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes8.0ms (0.1%)

Accuracy

Total -1.8b remaining (-2.9%)

Threshold costs -1.8b (-2.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 x -2)

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
60.5b	1	`x`
60.5b	1	`eps`

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	228
1	48	228
2	57	228
3	62	228
4	64	228

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))) -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) 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))) -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -3019169939857233/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(if (<=.f64 x 96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 96326941871583/2293498615990071511610820895302086940796564989168281123737588839386922876088484808070018553110125686554624) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 eps x)
(*.f64 x -2)
x

Compiler

Compiled 99 to 58 computations (41.4% saved)

soundness161.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1136×	`fma-def`
980×	`associate-+r+`
964×	`+-commutative`
898×	`associate-r`
740×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	15441
1	1874	14569
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)

end45.0ms (0.7%)

Compiler: Compiled 85 to 37 computations (56.5% 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

Details

analyze20.0ms (0.3%)

sample1.3s (20%)

preprocess32.0ms (0.5%)

simplify25.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite99.0ms (1.5%)

simplify121.0ms (1.8%)

eval132.0ms (2%)

prune80.0ms (1.2%)

localize12.0ms (0.2%)

series6.0ms (0.1%)

rewrite91.0ms (1.3%)

simplify125.0ms (1.9%)

localize3.0ms (0%)

localize6.0ms (0.1%)

localize15.0ms (0.2%)

series4.0ms (0.1%)

rewrite114.0ms (1.7%)

simplify136.0ms (2%)

localize15.0ms (0.2%)

series6.0ms (0.1%)

rewrite71.0ms (1.1%)

simplify63.0ms (0.9%)

eval431.0ms (6.4%)

prune358.0ms (5.3%)

localize12.0ms (0.2%)

series1.0ms (0%)

rewrite69.0ms (1%)

simplify59.0ms (0.9%)

localize3.0ms (0%)

localize15.0ms (0.2%)

series41.0ms (0.6%)

rewrite99.0ms (1.5%)

simplify161.0ms (2.4%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite54.0ms (0.8%)

simplify58.0ms (0.9%)

localize9.0ms (0.1%)

series6.0ms (0.1%)

rewrite101.0ms (1.5%)

simplify104.0ms (1.5%)

eval391.0ms (5.8%)

prune266.0ms (4%)

localize15.0ms (0.2%)

series35.0ms (0.5%)

rewrite106.0ms (1.6%)

simplify143.0ms (2.1%)

localize3.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite58.0ms (0.9%)

simplify46.0ms (0.7%)

localize13.0ms (0.2%)

series4.0ms (0.1%)

rewrite121.0ms (1.8%)

simplify160.0ms (2.4%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite60.0ms (0.9%)

simplify65.0ms (1%)

eval348.0ms (5.2%)

prune264.0ms (3.9%)

regimes57.0ms (0.8%)

regimes70.0ms (1%)

bsearch0.0ms (0%)

regimes64.0ms (1%)

bsearch14.0ms (0.2%)

regimes27.0ms (0.4%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes8.0ms (0.1%)

simplify9.0ms (0.1%)

soundness161.0ms (2.4%)

end45.0ms (0.7%)

Profiling

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