Details

analyze19.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.2s (15.2%)

Results

640.0ms	5951×	body	256	valid
321.0ms	1124×	body	1024	valid
222.0ms	1143×	body	512	valid
16.0ms	172×	body	256	invalid
12.0ms	38×	body	2048	valid

Bogosity

preprocess33.0ms (0.4%)

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)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

25.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.1b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	0.0b	(-.f64 (*.f64 x x) eps)
✓	3.9b	(-.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	x	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
1.0ms	eps	@	0	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
0.0ms	eps	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) eps))

rewrite109.0ms (1.4%)

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

Outputs
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Outputs

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

simplify124.0ms (1.5%)

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 → 425

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

eval165.0ms (2.1%)

Compiler: Compiled 10567 to 3979 computations (62.3% saved)

prune78.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	416	9	425
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	416	10	426

Error

0.0b

Counts

426 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	38.6b	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
	0.6b	(/.f64 (/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	59.1b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.1b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.2b	(-.f64 x x)
	0.4b	(.f64 (+.f64 eps (.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	61.7b	(*.f64 x 2)
▶	34.6b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 234 to 142 computations (39.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite91.0ms (1.1%)

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

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

simplify131.0ms (1.6%)

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))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (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 (cbrt.f64 (.f64 eps eps)) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (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 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1) (/.f64 1 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (*.f64 eps eps)) eps)
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 eps 3)) (*.f64 eps eps))
(.f64 (/.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (cbrt.f64 eps))
(.f64 (/.f64 eps (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 eps (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(.f64 (/.f64 eps (-.f64 (.f64 x x) (fma.f64 x x eps))) (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x))
(.f64 (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps))
(.f64 (/.f64 (neg.f64 eps) (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 (neg.f64 eps) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (pow.f64 eps 3))) (neg.f64 (*.f64 eps eps)))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 0 (*.f64 eps eps))) (neg.f64 eps))
(.f64 (/.f64 (.f64 (.f64 eps eps) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (neg.f64 (*.f64 eps eps))) (neg.f64 eps))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (pow.f64 eps 3)) (pow.f64 eps 3)) eps)
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (.f64 eps (pow.f64 eps 3))) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 0)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (+.f64 0 (pow.f64 (.f64 eps eps) 3))) (-.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 0) (.f64 0 (*.f64 eps eps))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 eps 3)) (-.f64 (pow.f64 (.f64 eps eps) 3) 0)) (+.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 0) (.f64 0 (*.f64 eps eps))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (/.f64 eps (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2)
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(cbrt.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3)))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (/.f64 (-.f64 (.f64 x x) eps) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 1)
(-.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) (exp.f64 (log1p.f64 x))) 1)
(.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) 1)
(.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) 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 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 (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)))) (-.f64 (fma.f64 x x eps) (*.f64 x x)))
(.f64 (/.f64 1 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))
(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 (fma.f64 x x eps) (.f64 x x))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (+.f64 (-.f64 (+.f64 (.f64 x x) (.f64 x x)) eps) (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (+.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 3))) (-.f64 (+.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (.f64 (.f64 x x) (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(/.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 1 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (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 (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 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2) (/.f64 1 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (/.f64 1 (/.f64 1 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (/.f64 1 (/.f64 1 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))))
(/.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (/.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (/.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)))) (/.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)))) (/.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 (neg.f64 (-.f64 (fma.f64 x x eps) (.f64 x x))) (.f64 1 (neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (.f64 1 (neg.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))))
(/.f64 (-.f64 (.f64 x x) (fma.f64 x x eps)) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.f64 (-.f64 (.f64 x x) (fma.f64 x x eps)) (.f64 1 (-.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)))
(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 (-.f64 (.f64 x x) eps) 2)) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (-.f64 (+.f64 (.f64 x x) (*.f64 x x)) eps)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2) 3)) (.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (+.f64 (pow.f64 x 6) (-.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3) (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)

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

localize3.0ms (0%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`add-sqr-sqrt`
1500×	`*-un-lft-identity`
1400×	`add-cube-cbrt`
1384×	`add-cbrt-cube`
1370×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	147	13
2	1848	13

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (neg.f64 eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 eps) 1/2) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 1/2 eps) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 1/2 eps)) (neg.f64 x))))) (#(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 sqrt.f64 (*.f64 (pow.f64 (/.f64 eps x) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 eps x)) 1/2))))) (#(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 (0.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-in`
1686×	`distribute-rgt-in`
1042×	`associate-r`
928×	`associate-l`
658×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	531
1	145	417
2	542	297
3	3910	297

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

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

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	eps	@	inf	(-.f64 x (sqrt.f64 (neg.f64 eps)))
0.0ms	x	@	0	(-.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)))

rewrite55.0ms (0.7%)

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 (0.7%)

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))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (/.f64 eps x))
✓	0.0b	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
✓	27.4b	(/.f64 (*.f64 eps eps) (pow.f64 x 3))

Compiler

Compiled 42 to 21 computations (50% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
1.0ms	x	@	0	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
0.0ms	eps	@	inf	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
0.0ms	x	@	-inf	(/.f64 (*.f64 eps eps) (pow.f64 x 3))
0.0ms	x	@	inf	(/.f64 (*.f64 eps eps) (pow.f64 x 3))

rewrite75.0ms (0.9%)

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)))))))))

simplify74.0ms (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))))

eval217.0ms (2.7%)

Compiler: Compiled 16859 to 7661 computations (54.6% saved)

prune146.0ms (1.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	718	10	728
Fresh	2	2	4
Picked	1	0	1
Done	3	2	5
Total	724	14	738

Error

Counts

738 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	35.9b	(fma.f64 1/8 (.f64 (/.f64 eps (.f64 x x)) (/.f64 eps x)) (*.f64 1/2 (/.f64 eps x)))
	0.4b	(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
▶	33.9b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
▶	34.6b	(/.f64 (*.f64 1/2 eps) x)
▶	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	34.9b	(/.f64 1/2 (/.f64 x eps))
▶	60.8b	(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
	59.1b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.1b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.2b	(-.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)
	61.6b	x

Compiler

Compiled 284 to 187 computations (34.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite67.0ms (0.8%)

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))))))))))

simplify58.0ms (0.7%)

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

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (*.f64 1/2 (/.f64 eps x)))
	0.0b	(*.f64 1/2 (/.f64 eps x))
✓	5.4b	(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)

Compiler

Compiled 30 to 17 computations (43.3% saved)

series1.0ms (0%)

Counts

2 → 30

Calls

12 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`associate-/r*`
920×	`*-commutative`
740×	`associate-/l*`
628×	`distribute-lft-in`
590×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	223	28
2	3067	28

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs

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

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1336×	`associate-+l+`
1262×	`associate-+r+`
712×	`+-commutative`
708×	`associate-r`
604×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	8676
1	1441	8102
2	6416	8098

Stop Event

1×	node limit

Counts

228 → 296

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

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

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (/.f64 eps x))
✓	0.0b	(+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	0.1b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

Compiler

Compiled 46 to 23 computations (50% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite90.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`associate-/l*`
1262×	`associate-/r/`
816×	`associate-/l/`
278×	`add-sqr-sqrt`
270×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	285	61
2	3981	61

Stop Event

1×	node limit

Counts

3 → 160

Calls

Call 1

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

Outputs

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

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

simplify157.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

772×	`times-frac`
706×	`+-commutative`
664×	`associate-r`
636×	`associate-/l*`
636×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	8286
1	1387	8036
2	6484	8036

Stop Event

1×	node limit

Counts

208 → 254

Calls

Call 1

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

eval608.0ms (7.6%)

Compiler: Compiled 25440 to 13065 computations (48.6% saved)

prune248.0ms (3.1%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1030	14	1044
Fresh	3	4	7
Picked	1	0	1
Done	0	6	6
Total	1034	24	1058

Error

Counts

1058 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(/.f64 (/.f64 1/2 x) (/.f64 1 eps))
	34.9b	(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) 2) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) 2) (*.f64 1/2 (/.f64 eps x))))
▶	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x)))
	41.7b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 x eps)) x)))
	33.9b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 -1/2 (/.f64 x eps)) x)))
	60.7b	(/.f64 (+.f64 eps 0) (*.f64 eps (/.f64 -1/2 x)))
✓	34.6b	(/.f64 (*.f64 1/2 eps) x)
▶	33.9b	(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x))))
▶	0.4b	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
	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))))
	27.1b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	34.9b	(/.f64 1/2 (/.f64 x eps))
	60.8b	(-.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 eps x)) 2) 1) 1)
✓	60.8b	(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
▶	59.1b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.1b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.2b	(-.f64 x x)
	35.9b	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
	34.0b	(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps)
	34.7b	(*.f64 (/.f64 1/2 x) eps)
▶	60.7b	(*.f64 x -2)
	61.6b	x

Compiler

Compiled 493 to 335 computations (32% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.0b	(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
✓	0.3b	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)

Compiler

Compiled 54 to 23 computations (57.4% saved)

series21.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
4.0ms	eps	@	inf	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
4.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
1.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
1.0ms	eps	@	inf	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)

rewrite81.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-*r/`
1310×	`associate-*l/`
910×	`associate-/r*`
750×	`associate-/l*`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	279	65
2	3772	65

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

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

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

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

simplify143.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1014×	`fma-def`
1004×	`associate-r`
802×	`*-commutative`
756×	`associate-l`
580×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	11750
1	1840	10596
2	7400	10588

Stop Event

1×	node limit

Counts

160 → 293

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)))) (pow.f64 x 4)) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (sqrt.f64 -1))) (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (sqrt.f64 -1)))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.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 2) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/32 (pow.f64 eps 3)))) (pow.f64 x 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/32 (pow.f64 eps 2)) (*.f64 -1/8 (pow.f64 eps 2)))) (pow.f64 x 5))) x)))))
(*.f64 -1 x)
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1 x))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2)))) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/32 (pow.f64 eps 3)))) (pow.f64 x 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)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 2)) eps)))
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(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 -1/4 (.f64 (.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2)))) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 -1/4 (.f64 (.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/384 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/32 (pow.f64 eps 3))))) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2)))) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 x)) (.f64 -1/4 (.f64 (*.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 x 3))))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 x))
(+.f64 (.f64 -1/4 (.f64 eps (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 x)))
(+.f64 (.f64 -1/4 (.f64 eps (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 x)) (.f64 -3/32 (.f64 (pow.f64 eps 2) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7))))))))
(+.f64 (.f64 -1/4 (.f64 eps (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 x)) (+.f64 (.f64 -7/128 (.f64 (pow.f64 eps 3) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 11)))))) (.f64 -3/32 (.f64 (pow.f64 eps 2) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 x 7)))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (.f64 -1/12 (pow.f64 x 6)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (.f64 -1/384 (pow.f64 x 6))))) (pow.f64 eps 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (pow.f64 eps 2)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) (pow.f64 x 2)) eps)))))
(pow.f64 (*.f64 -1 eps) 1/4)
(+.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 -1/4 (*.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (+.f64 (pow.f64 (.f64 -1 eps) 1/4) (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2)))))
(+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 7)) 1/4) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (+.f64 (pow.f64 (.f64 -1 eps) 1/4) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 3)) 1/4) (pow.f64 x 2))) (.f64 -1 (.f64 (pow.f64 (/.f64 -1 (pow.f64 eps 11)) 1/4) (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 6)) (*.f64 1/384 (pow.f64 x 6)))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 1)
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 x x) eps)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/8) (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/8) (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 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/8)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/8))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(.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 (sqrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (sqrt.f64 (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 1 (sqrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps)))) (sqrt.f64 (fma.f64 x x eps)))
(/.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)))))
(/.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 (sqrt.f64 (-.f64 (.f64 x x) 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 (-.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))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(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))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.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 (.f64 (sqrt.f64 eps) 1) (+.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 (.f64 (cbrt.f64 eps) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 2) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (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 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 eps (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 2)) (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(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))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) 1))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) 1)
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 x x) eps) 1/4))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/8) (pow.f64 (-.f64 (*.f64 x x) eps) 1/8))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1/4) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1/4))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/4))
(sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(exp.f64 (.f64 1/4 (log.f64 (-.f64 (.f64 x x) eps))))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))

Outputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (sqrt.f64 (/.f64 1 eps))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (.f64 -1/2 (sqrt.f64 -1)) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)))) (pow.f64 x 4)) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(fma.f64 (fma.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (.f64 -3/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 4) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (sqrt.f64 (/.f64 1 eps))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(fma.f64 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8) (pow.f64 x 4) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (.f64 -1/2 (sqrt.f64 -1)) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps))))))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (sqrt.f64 -1))) (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (sqrt.f64 -1)))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(fma.f64 (fma.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) (.f64 -3/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))))) (pow.f64 x 4) (fma.f64 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 5)))) -1/16) (pow.f64 x 6) (fma.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 x x)) (sqrt.f64 (/.f64 1 eps))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8) (pow.f64 x 4) (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (.f64 (sqrt.f64 -1) -1/16)) (pow.f64 x 6) (fma.f64 (sqrt.f64 -1) (sqrt.f64 eps) (.f64 (.f64 -1/2 (sqrt.f64 -1)) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))))))
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 2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 2 (/.f64 (.f64 (.f64 eps eps) -3/32) (pow.f64 x 3)) (fma.f64 1/16 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) x)))
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0
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(/.f64 (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 (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 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.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 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.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 (cbrt.f64 (-.f64 (pow.f64 x 4) (*.f64 eps eps))) (/.f64 (cbrt.f64 (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 (fma.f64 x x eps))) (cbrt.f64 (sqrt.f64 (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 (.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 (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)))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
(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 (fma.f64 x x (neg.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (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 (fma.f64 x x (neg.f64 eps)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 x x) eps)) 1/2))
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) 1))
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
(-.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 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 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 (sqrt.f64 eps) (/.f64 (.f64 (sqrt.f64 eps) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (pow.f64 (cbrt.f64 eps) 2) (/.f64 (.f64 (cbrt.f64 eps) 1) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (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 (neg.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 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2))
(.f64 (/.f64 eps (+.f64 (-.f64 (.f64 x x) (.f64 x x)) eps)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(*.f64 (/.f64 eps (+.f64 eps 0)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(*.f64 (/.f64 eps eps) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (fma.f64 x x (-.f64 (.f64 x x) (fma.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))) eps))))
(.f64 (/.f64 (sqrt.f64 eps) 1) (/.f64 (sqrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.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 1 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)) (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (/.f64 eps (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) 1) (/.f64 (cbrt.f64 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (/.f64 eps (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (/.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2)))
(pow.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)))))
(pow.f64 (sqrt.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)))))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) 3)
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 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 (fma.f64 x x (neg.f64 eps)))))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps) -1)
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(neg.f64 (/.f64 eps (neg.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) 2))
(fabs.f64 (/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))
(log.f64 (exp.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)))))
(log.f64 (+.f64 1 (expm1.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)))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3))
(/.f64 eps (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(expm1.f64 (log1p.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)))))
(exp.f64 (log.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)))))
(exp.f64 (.f64 (log.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)))))
(log1p.f64 (expm1.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 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))) 1)
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) 1)
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(.f64 1 (pow.f64 (-.f64 (.f64 x x) eps) 1/4))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/8) (pow.f64 (-.f64 (*.f64 x x) eps) 1/8))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) 1/4) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)) 1/4))
(pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) 1/2)
(sqrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) 1/4))
(sqrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))) 1/2)
(sqrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 3/4))
(cbrt.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(exp.f64 (.f64 1/4 (log.f64 (-.f64 (.f64 x x) eps))))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(exp.f64 (.f64 (.f64 1/4 (log.f64 (-.f64 (*.f64 x x) eps))) 1))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (/.f64 eps x))
✓	3.9b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`associate-*l/`
1128×	`associate-/r*`
1090×	`*-commutative`
760×	`associate-/l*`
746×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	212	21
2	3107	21

Stop Event

1×	node limit

Counts

1 → 125

Calls

Call 1

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

Outputs

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

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1570×	`associate-/r/`
1288×	`+-commutative`
1026×	`associate--r+`
862×	`associate--l+`
640×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	8503
1	1116	7139
2	5373	7131

Stop Event

1×	node limit

Counts

149 → 195

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x)))
✓	0.1b	(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x))))
✓	0.2b	(*.f64 eps (/.f64 -1/2 x))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite136.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`associate-/l*`
816×	`distribute-lft-in`
700×	`associate-/r/`
402×	`associate-/l/`
350×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	297	61
2	4250	61

Stop Event

1×	node limit

Counts

3 → 313

Calls

Call 1

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

Outputs

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

simplify242.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1240×	`associate-l`
898×	`associate-/r*`
760×	`*-commutative`
756×	`associate-/l*`
748×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	724	19043
1	2028	16321

Stop Event

1×	node limit

Counts

385 → 504

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

Outputs
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 -1/2 (/.f64 eps x))
(*.f64 eps (/.f64 -1/2 x))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.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 (/.f64 eps x) 1/2))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.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)))))
(+.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))))))
(*.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)))))
(+.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))))))
(*.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)))))
(+.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))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.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 (/.f64 eps x) 1/2))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.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 (/.f64 eps x) 1/2))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/32 (/.f64 (pow.f64 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 1/32 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (fma.f64 1/2 (/.f64 eps x) (fma.f64 1/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (/.f64 1/32 (/.f64 (pow.f64 x 5) (pow.f64 eps 3))))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 eps (/.f64 x 1/2))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(*.f64 -2 x)
(*.f64 x -2)
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(+.f64 (.f64 -2 x) (.f64 1/2 (/.f64 eps x)))
(fma.f64 -2 x (*.f64 (/.f64 eps x) 1/2))
(fma.f64 -2 x (/.f64 eps (/.f64 x 1/2)))
(*.f64 1/2 (/.f64 eps x))
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(/.f64 (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 3) (.f64 8 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))) (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 2) (.f64 (.f64 2 (.f64 eps (/.f64 -1/2 x))) (-.f64 (.f64 2 (.f64 eps (/.f64 -1/2 x))) (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 3) (pow.f64 (.f64 (/.f64 eps x) -1) 3)) (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 2) (.f64 (.f64 (/.f64 eps x) -1) (-.f64 (.f64 (/.f64 eps x) -1) (fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) 3) (pow.f64 (.f64 2 (.f64 eps (/.f64 -1/2 x))) 3)) (.f64 1 (+.f64 (pow.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) 2) (-.f64 (.f64 (.f64 2 (.f64 eps (/.f64 -1/2 x))) (.f64 2 (.f64 eps (/.f64 -1/2 x)))) (.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) (.f64 2 (.f64 eps (/.f64 -1/2 x))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 3) (.f64 8 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))) (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 2) (.f64 (.f64 2 (.f64 eps (/.f64 -1/2 x))) (-.f64 (.f64 2 (.f64 eps (/.f64 -1/2 x))) (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 3) (pow.f64 (.f64 (/.f64 eps x) -1) 3)) (+.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 2) (.f64 (.f64 (/.f64 eps x) -1) (-.f64 (.f64 (/.f64 eps x) -1) (fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 3) -8) 3) (pow.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3) 3)) (.f64 (+.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 eps (/.f64 -1/2 x)) (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))))) (+.f64 (.f64 (.f64 (pow.f64 x 3) -8) (.f64 (pow.f64 x 3) -8)) (+.f64 (.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -512) (pow.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3) 3)) (.f64 (fma.f64 (.f64 x x) 4 (.f64 (.f64 eps (/.f64 -1/2 x)) (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)))) (+.f64 (.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) 64) (.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3) (fma.f64 (pow.f64 x 3) -8 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 3) 3) -512) (pow.f64 (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3) 3)) (fma.f64 (.f64 x x) 4 (.f64 -1/2 (.f64 (/.f64 eps x) (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)))))) (+.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 64)) (.f64 (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3) (fma.f64 (pow.f64 x 3) -8 (pow.f64 (*.f64 -1/2 (/.f64 eps x)) 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) 4) 3) (pow.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) 3)) (.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) (+.f64 (+.f64 (.f64 (.f64 (.f64 x x) 4) (.f64 (.f64 x x) 4)) (.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2))) (.f64 (.f64 (.f64 x x) 4) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 2)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) 3)) (.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) 16) (+.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 4) (.f64 (pow.f64 (.f64 eps (/.f64 -1/2 x)) 2) (.f64 x (.f64 x 4)))))))
(/.f64 (/.f64 (-.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 6)) (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2))) (+.f64 (.f64 (.f64 x (pow.f64 x 3)) 16) (+.f64 (pow.f64 (.f64 -1/2 (/.f64 eps x)) 4) (.f64 (pow.f64 (.f64 -1/2 (/.f64 eps x)) 2) (.f64 x (*.f64 x 4))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (pow.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) 2)) (.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) (-.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (.f64 eps (/.f64 -1/2 x)) 3)) (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2))) (/.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (.f64 x -2)) 2) (-.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (*.f64 eps (/.f64 -1/2 x)) 3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) (/.f64 (-.f64 (.f64 (pow.f64 x 3) -8) (pow.f64 (.f64 -1/2 (/.f64 eps x)) 3)) (fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))))
(pow.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x))) 1)
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(pow.f64 (sqrt.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))) 2)
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(pow.f64 (cbrt.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))) 3)
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(pow.f64 (pow.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x))) 3) 1/3)
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(sqrt.f64 (pow.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2)) 2))
(log.f64 (exp.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x))))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(cbrt.f64 (pow.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x))) 3))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(expm1.f64 (log1p.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(exp.f64 (log.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(exp.f64 (.f64 (log.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x)))) 1))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(log1p.f64 (expm1.f64 (fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(fma.f64 x -2 (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(fma.f64 -2 x (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(fma.f64 1 (.f64 x -2) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 eps (/.f64 -1/2 x) (*.f64 x -2))
(fma.f64 1 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x))) (.f64 2 (*.f64 eps (/.f64 -1/2 x))))
(fma.f64 x -2 (.f64 3 (.f64 eps (/.f64 -1/2 x))))
(fma.f64 x -2 (/.f64 -3/2 (/.f64 x eps)))
(fma.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (.f64 x -2)) (*.f64 eps (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (.f64 x -2)) (sqrt.f64 (.f64 x -2)) (*.f64 -1/2 (/.f64 eps x)))
(fma.f64 (sqrt.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x)))) (sqrt.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x)))) (.f64 2 (.f64 eps (/.f64 -1/2 x))))
(fma.f64 x -2 (.f64 3 (.f64 eps (/.f64 -1/2 x))))
(fma.f64 x -2 (/.f64 -3/2 (/.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 (.f64 x x) 4)) (cbrt.f64 (.f64 x -2)) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 x -2)) (.f64 eps (/.f64 -1/2 x)))
(fma.f64 (cbrt.f64 (.f64 x (.f64 x 4))) (cbrt.f64 (.f64 x -2)) (.f64 -1/2 (/.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x)))) 2) (cbrt.f64 (fma.f64 x -2 (.f64 eps (/.f64 -1/2 x)))) (.f64 2 (.f64 eps (/.f64 -1/2 x))))
(fma.f64 x -2 (.f64 3 (.f64 eps (/.f64 -1/2 x))))
(fma.f64 x -2 (/.f64 -3/2 (/.f64 x eps)))

localize145.0ms (1.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x))
✓	0.1b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x)))
✓	12.7b	(/.f64 (.f64 (.f64 eps -1/2) eps) x)
✓	22.2b	(/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps)

Compiler

Compiled 74 to 43 computations (41.9% saved)

series7.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	0	(/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps)
0.0ms	x	@	inf	(/.f64 (.f64 (.f64 eps -1/2) eps) x)
0.0ms	eps	@	inf	(/.f64 (.f64 (.f64 eps -1/2) eps) x)
0.0ms	x	@	0	(/.f64 (.f64 (.f64 eps -1/2) eps) x)
0.0ms	eps	@	0	(/.f64 (.f64 (.f64 eps -1/2) eps) x)

rewrite166.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`distribute-rgt-in`
1488×	`distribute-lft-in`
326×	`add-sqr-sqrt`
318×	`*-un-lft-identity`
316×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	124
1	331	88
2	4939	88

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 eps -1/2) x) (.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 eps -1/2) x) (.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (pow.f64 eps 3)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps)) 0) (/.f64 (.f64 eps -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (pow.f64 eps 3)) 0) (/.f64 (.f64 eps -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps))) (.f64 0 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps))) (.f64 eps (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 eps eps) (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (pow.f64 eps 3))) (.f64 0 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 eps -1/2) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (.f64 eps -1/2)) (.f64 (/.f64 1 x) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (.f64 eps -1/2)) (/.f64 1 (.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps -1/2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 eps -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps)) (.f64 (sqrt.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (.f64 eps -1/2) x)) (sqrt.f64 (/.f64 (.f64 eps -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps)) 2) (.f64 (cbrt.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps)) (/.f64 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (.f64 eps -1/2) x)) (pow.f64 (cbrt.f64 (/.f64 (.f64 eps -1/2) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 eps -1/2) x)) 2) (cbrt.f64 (/.f64 (.f64 eps -1/2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 eps) (.f64 (/.f64 (.f64 eps -1/2) x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps (neg.f64 (.f64 eps -1/2))) x) (/.f64 1 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 eps (.f64 eps -1/2)) 1) (/.f64 (/.f64 1 x) eps))))) 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simplify149.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1102×	`associate-l`
1092×	`associate-r`
1074×	`associate-/l*`
560×	`fma-def`
558×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	512	9447
1	1425	8513

Stop Event

1×	node limit

Counts

301 → 283

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

eval865.0ms (10.8%)

Compiler: Compiled 44912 to 27449 computations (38.9% saved)

prune412.0ms (5.1%)

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	1471	17	1488
Fresh	2	11	13
Picked	0	1	1
Done	2	8	10
Total	1475	37	1512

Error

Counts

1512 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	34.8b	(/.f64 (/.f64 1/2 x) (/.f64 1 eps))
	34.9b	(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) 2) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) 2) (*.f64 1/2 (/.f64 eps x))))
✓	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x)))
	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) eps) x)))
	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 (.f64 eps -1/2) (*.f64 eps (/.f64 1 x))) eps) x)))
	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 eps eps) x)) eps) x)))
	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (*.f64 -1/2 (/.f64 eps (/.f64 x eps))) eps) x)))
	41.7b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 x eps)) x)))
	55.0b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps)) eps) x)))
	33.9b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (/.f64 (.f64 eps -1/2) eps) (/.f64 eps x)) x)))
	34.2b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (/.f64 1 eps) (.f64 (/.f64 (*.f64 eps -1/2) x) eps)) x)))
	43.9b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (/.f64 1 (.f64 eps x))) x)))
	43.9b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (/.f64 1 x) (/.f64 1 eps))) x)))
	60.7b	(/.f64 (+.f64 eps 0) (*.f64 eps (/.f64 -1/2 x)))
	34.8b	(/.f64 (.f64 (+.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) x) (.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (.f64 (/.f64 eps x) -1/2)) x))
✓	34.6b	(/.f64 (*.f64 1/2 eps) x)
	33.9b	(/.f64 (neg.f64 eps) (-.f64 (*.f64 x -2) (/.f64 -1/2 (/.f64 x eps))))
✓	0.4b	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
	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))))
	27.1b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	56.5b	(/.f64 eps x)
	34.9b	(/.f64 1/2 (/.f64 x eps))
	60.8b	(-.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 eps x)) 2) 1) 1)
✓	60.8b	(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
	60.0b	(-.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x))
	61.2b	(-.f64 x (+.f64 (/.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 x eps)) x))
✓	59.1b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.1b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.9b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	35.9b	(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
	34.0b	(.f64 (/.f64 1 (-.f64 (.f64 eps (/.f64 -1/2 x)) (*.f64 x -2))) eps)
	34.0b	(.f64 (/.f64 1 (+.f64 (/.f64 (.f64 eps -1/2) x) (+.f64 x x))) eps)
	34.7b	(*.f64 (/.f64 1/2 x) eps)
✓	60.7b	(*.f64 x -2)
	61.6b	x
	61.2b	0

Compiler

Compiled 520 to 344 computations (33.8% saved)

regimes106.0ms (1.3%)

Counts

51 → 1

Calls

Call 1

Inputs
0
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 (*.f64 1/2 eps) x)
(/.f64 (/.f64 1/2 x) (/.f64 1 eps))
(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
(-.f64 (+.f64 1 (*.f64 1/2 (/.f64 eps x))) 1)
(/.f64 (+.f64 eps 0) (*.f64 eps (/.f64 -1/2 x)))
(-.f64 (-.f64 (+.f64 (*.f64 1/2 (/.f64 eps x)) 2) 1) 1)
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x))))
(/.f64 (neg.f64 eps) (-.f64 (*.f64 x -2) (/.f64 -1/2 (/.f64 x eps))))
(.f64 (/.f64 1 (+.f64 (/.f64 (.f64 eps -1/2) x) (+.f64 x x))) eps)
(.f64 (/.f64 1 (-.f64 (.f64 eps (/.f64 -1/2 x)) (*.f64 x -2))) eps)
(.f64 (/.f64 eps x) (+.f64 (/.f64 eps (/.f64 (.f64 x x) 1/8)) 1/2))
(-.f64 x (+.f64 (/.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 x eps)) x))
(-.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 -1/2 (/.f64 x eps)) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (/.f64 (.f64 eps -1/2) eps) (/.f64 eps x)) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 -1/2 (.f64 eps eps)) (*.f64 x eps)) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (*.f64 -1/2 (/.f64 eps (/.f64 x eps))) eps) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 -1/2 (/.f64 (.f64 eps eps) x)) eps) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) eps) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (/.f64 (.f64 (.f64 eps -1/2) eps) x) eps) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (/.f64 1 (.f64 eps x))) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (/.f64 1 eps) (.f64 (/.f64 (*.f64 eps -1/2) x) eps)) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (/.f64 (.f64 (.f64 eps -1/2) (*.f64 eps (/.f64 1 x))) eps) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (.f64 eps (.f64 eps -1/2)) (.f64 (/.f64 1 x) (/.f64 1 eps))) x)))
(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (.f64 (/.f64 (.f64 (/.f64 (.f64 eps -1/2) x) eps) (.f64 eps eps)) eps) x)))
(/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) 2) (/.f64 (+.f64 (.f64 1/2 (/.f64 eps x)) 2) (*.f64 1/2 (/.f64 eps x))))
(/.f64 (.f64 (+.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) x) (.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (.f64 (/.f64 eps x) -1/2)) 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 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
(*.f64 (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) eps)
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x 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 (.f64 x x)) (/.f64 eps x)) (*.f64 1/2 (/.f64 eps x)))
(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
(/.f64 (/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))

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

Calls

3 calls:

49.0ms	eps
22.0ms	x
20.0ms	(-.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 637 to 329 computations (48.4% saved)

regimes226.0ms (2.8%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

3 calls:

106.0ms	x
74.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
34.0ms	eps

Results

Error	Segments	Branch
4.9b	4	`x`
10.6b	2	`eps`
0.7b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 490 to 277 computations (43.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.0635914923475326e-154	-2.1348264133554478e-157

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes156.0ms (1.9%)

Counts

40 → 4

Calls

Call 1

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

Calls

2 calls:

78.0ms	eps
66.0ms	x

Results

Error	Segments	Branch
6.1b	4	`x`
11.0b	2	`eps`

Compiler

Compiled 472 to 268 computations (43.2% saved)

bsearch44.0ms (0.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
24.0ms	3.981952103640728e-93	3.8849116353486836e-91
13.0ms	5.005917668131186e-110	1.6842034319165287e-108
6.0ms	5.725157444977703e-119	7.761625671665363e-119

Results

20.0ms	224×	body	256	valid
7.0ms	48×	body	512	valid
4.0ms	47×	body	256	invalid

Compiler

Compiled 424 to 293 computations (30.9% saved)

regimes169.0ms (2.1%)

Counts

39 → 4

Calls

Call 1

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

Calls

2 calls:

93.0ms	eps
65.0ms	x

Results

Error	Segments	Branch
6.1b	4	`x`
11.6b	4	`eps`

Compiler

Compiled 465 to 266 computations (42.8% saved)

bsearch35.0ms (0.4%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
14.0ms	3.981952103640728e-93	3.8849116353486836e-91
15.0ms	5.005917668131186e-110	1.6842034319165287e-108
6.0ms	5.725157444977703e-119	7.761625671665363e-119

Results

21.0ms	229×	body	256	valid
6.0ms	43×	body	512	valid
3.0ms	42×	body	256	invalid

Compiler

Compiled 396 to 279 computations (29.5% saved)

regimes46.0ms (0.6%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	eps
17.0ms	x

Results

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

Compiler

Compiled 460 to 264 computations (42.6% saved)

regimes20.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

8.0ms	x
8.0ms	eps

Results

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

Compiler

Compiled 98 to 58 computations (40.8% saved)

regimes19.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
34.6b	1	`x`
34.6b	1	`eps`

Compiler

Compiled 87 to 53 computations (39.1% saved)

regimes17.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
0
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))

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

Calls

2 calls:

10.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
34.6b	1	`x`
34.6b	1	`eps`

Compiler

Compiled 37 to 21 computations (43.2% saved)

regimes12.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

6.0ms	x
4.0ms	eps

Results

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes9.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
0
x
(*.f64 x -2)
(*.f64 x 2)
(-.f64 x x)

Outputs
(*.f64 x -2)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
60.7b	1	`x`
60.7b	1	`eps`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.8b remaining (-1.3%)

Threshold costs -0.8b (-1.3%)

Counts

2 → 1

Calls

Call 1

Inputs
0
x

Outputs
0

Calls

2 calls:

4.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
61.2b	1	`x`
61.2b	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	477
1	78	477
2	97	477
3	110	477
4	116	477
5	117	477

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))) -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x)))))
(if (<=.f64 x 6904967880808265/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 1374996415083717/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 eps (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) (if (<=.f64 x 2018278782071263/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (*.f64 eps (/.f64 -1/2 x)))))))
(if (<=.f64 x 6904967880808265/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 3278837605199633/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 eps (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) (if (<=.f64 x 2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (*.f64 eps (/.f64 -1/2 x)))))))
(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 (*.f64 1/2 eps) x)
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
0

Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -3019169939857233/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 x)))))
(if (<=.f64 x 6904967880808265/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 1374996415083717/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 eps (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) (if (<=.f64 x 2018278782071263/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (*.f64 eps (/.f64 -1/2 x)))))))
(if (<=.f64 x 6904967880808265/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 1374996415083717/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192) (/.f64 eps (+.f64 x (+.f64 x (.f64 -1/2 (/.f64 eps x))))) (if (<=.f64 x 2018278782071263/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps)))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (*.f64 eps (/.f64 -1/2 x)))))))
(if (<=.f64 x 6904967880808265/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 3278837605199633/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 eps (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) (if (<=.f64 x 2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (*.f64 eps (/.f64 -1/2 x)))))))
(if (<=.f64 x 6904967880808265/90854840536950861318665475986000566794205170085914757535186274897579911014174740415773881339220445695095315200783272241691825203576832) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x 3278837605199633/10576895500643977583230644928524336637254474927428499508554380724390492659780981533203027367035444557561459392400373732868096) (/.f64 eps (+.f64 x (+.f64 x (.f64 -1/2 (/.f64 eps x))))) (if (<=.f64 x 2348542582773833/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (*.f64 eps (/.f64 -1/2 x)))))))
(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 eps (/.f64 -1/2 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 (*.f64 1/2 eps) x)
(/.f64 (*.f64 eps 1/2) x)
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 eps x)
(*.f64 x -2)
0

Compiler

Compiled 195 to 118 computations (39.5% saved)

soundness152.0ms (1.9%)

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)

end81.0ms (1%)

Compiler: Compiled 175 to 86 computations (50.9% saved)

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

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

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

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

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

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