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)

sample1.3s (15.9%)

Results

680.0ms	5912×	body	256	valid
321.0ms	1129×	body	1024	valid
223.0ms	1177×	body	512	valid
15.0ms	163×	body	256	invalid
12.0ms	38×	body	2048	valid

Bogosity

preprocess28.0ms (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)

simplify24.0ms (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

22.4b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (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)
✓	4.4b	(-.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))

rewrite95.0ms (1.2%)

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))))))))

simplify153.0ms (1.9%)

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))

eval166.0ms (2.1%)

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

prune95.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	418	7	425
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	418	8	426

Error

Counts

426 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	22.7b	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
	38.9b	(-.f64 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))))
✓	22.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	23.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.3b	(-.f64 x x)
▶	61.8b	(*.f64 x 2)
▶	37.8b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 164 to 108 computations (34.1% saved)

localize11.0ms (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 (*.f64 x x) eps)
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 42 to 12 computations (71.4% saved)

series9.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	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	x	@	inf	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

rewrite90.0ms (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)))))

simplify128.0ms (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)))))
(.f64 (/.f64 (sqrt.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))))))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 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 (.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 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2))) (cbrt.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))))))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 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 (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 (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 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))))
(/.f64 (-.f64 (.f64 x x) (fma.f64 x x eps)) (.f64 1 (-.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))))
(/.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 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (.f64 (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) (-.f64 (.f64 x (+.f64 x x)) eps)))
(/.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 x (+.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)

localize2.0ms (0%)

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

localize5.0ms (0.1%)

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

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)

series3.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite56.0ms (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)))))))

simplify59.0ms (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))

eval182.0ms (2.3%)

Compiler: Compiled 14066 to 6015 computations (57.2% saved)

prune102.0ms (1.3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	561	5	566
Fresh	2	0	2
Picked	0	1	1
Done	2	3	5
Total	565	9	574

Error

Counts

574 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.1b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
▶	0.4b	(/.f64 (+.f64 eps 0) (fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x))
▶	37.8b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
▶	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	22.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	23.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	61.3b	(-.f64 x x)
✓	37.8b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 97 to 59 computations (39.2% 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 (*.f64 x x) eps)
	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

Compiler

Compiled 36 to 7 computations (80.6% saved)

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))))

rewrite69.0ms (0.9%)

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 46 to 23 computations (50% saved)

series5.0ms (0.1%)

Counts

3 → 54

Calls

18 calls:

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

rewrite97.0ms (1.2%)

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	63
1	285	63
2	3981	63

Stop Event

1×	node limit

Counts

3 → 186

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

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-r`
808×	`times-frac`
748×	`associate-/l*`
734×	`associate-l`
676×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	530	10772
1	1656	10158

Stop Event

1×	node limit

Counts

240 → 307

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

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

localize25.0ms (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 (+.f64 eps 0) (fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x))
✓	0.3b	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x)

Compiler

Compiled 60 to 23 computations (61.7% saved)

series19.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(/.f64 (+.f64 eps 0) (fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x))
3.0ms	eps	@	-inf	(/.f64 (+.f64 eps 0) (fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x))
2.0ms	eps	@	0	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x)
2.0ms	x	@	inf	(/.f64 (+.f64 eps 0) (fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x))
2.0ms	eps	@	inf	(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x)

rewrite102.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-*r/`
1172×	`associate-*l/`
1098×	`associate-/r*`
1072×	`*-commutative`
274×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	115
1	292	71
2	3637	71

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x)

(/.f64 (+.f64 eps 0) (fma.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) x))

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

Outputs

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

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

simplify137.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

952×	`fma-def`
944×	`associate-r`
736×	`*-commutative`
714×	`associate-l`
638×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	563	10938
1	1721	9940
2	7431	9932

Stop Event

1×	node limit

Counts

156 → 260

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	0.1b	(/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)
✓	0.1b	(/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps))
✓	27.0b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)

Compiler

Compiled 62 to 9 computations (85.5% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite135.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	755	14993
1	2491	13743

Stop Event

1×	node limit

Counts

283 → 405

Calls

Call 1

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

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

eval1.2s (14.6%)

Compiler: Compiled 61208 to 29300 computations (52.1% saved)

prune818.0ms (10.3%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	1970	9	1979
Fresh	0	1	1
Picked	0	1	1
Done	3	4	7
Total	1973	15	1988

Error

Counts

1988 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.1b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
▶	54.0b	(/.f64 (/.f64 eps (-.f64 (.f64 2 (/.f64 x eps)) (.f64 1/2 (/.f64 1 x)))) eps)
▶	53.9b	(/.f64 (/.f64 eps (*.f64 2 (/.f64 x eps))) eps)
	60.5b	(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))
▶	55.0b	(/.f64 (.f64 1/2 (/.f64 (.f64 eps eps) x)) eps)
	37.8b	(/.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))))
▶	22.3b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	57.1b	(/.f64 eps x)
✓	22.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	23.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	34.0b	(.f64 (/.f64 (/.f64 1 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (*.f64 eps eps))
▶	60.5b	(*.f64 x -2)
✓	37.8b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 255 to 166 computations (34.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 6 computations (71.4% saved)

series6.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	194	28
2	2827	28

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-*r/`
1066×	`unswap-sqr`
852×	`associate-*l/`
602×	`*-commutative`
480×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2462
1	537	2224
2	2522	2158

Stop Event

1×	node limit

Counts

96 → 115

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 eps eps) x))
✓	12.6b	(/.f64 (*.f64 eps eps) x)
✓	20.0b	(/.f64 (.f64 1/2 (/.f64 (.f64 eps eps) x)) eps)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

230 → 204

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 eps (*.f64 2 (/.f64 x eps)))
✓	20.0b	(/.f64 (/.f64 eps (*.f64 2 (/.f64 x eps))) eps)

Compiler

Compiled 29 to 13 computations (55.2% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1150×	`*-commutative`
1110×	`associate-/r/`
844×	`associate-/l/`
782×	`unswap-sqr`
734×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	200	44
2	2906	44

Stop Event

1×	node limit

Counts

2 → 217

Calls

Call 1

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

Outputs

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simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-l`
1340×	`associate-r`
1116×	`associate-/l*`
926×	`associate-*r/`
816×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	485	6121
1	1521	5733
2	7882	5733

Stop Event

1×	node limit

Counts

265 → 267

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

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

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.1b

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

✓

34.1b

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

Compiler

Compiled 62 to 38 computations (38.7% saved)

series5.0ms (0.1%)

Counts

3 → 54

Calls

18 calls:

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

rewrite124.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 315

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify165.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	779	21797
1	2412	21175

Stop Event

1×	node limit

Counts

369 → 461

Calls

Call 1

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

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

eval752.0ms (9.5%)

Compiler: Compiled 22566 to 13148 computations (41.7% saved)

prune333.0ms (4.2%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	1034	13	1047
Fresh	0	5	5
Picked	1	0	1
Done	0	9	9
Total	1035	27	1062

Error

Counts

1062 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.1b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
	60.8b	(/.f64 (/.f64 eps (/.f64 -1/2 x)) eps)
✓	53.9b	(/.f64 (/.f64 eps (*.f64 2 (/.f64 x eps))) eps)
	54.6b	(/.f64 (/.f64 1/2 (/.f64 (/.f64 x eps) eps)) eps)
	60.5b	(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))
	54.9b	(/.f64 (.f64 (/.f64 1 (.f64 2 x)) (*.f64 eps eps)) eps)
✓	55.0b	(/.f64 (.f64 1/2 (/.f64 (.f64 eps eps) x)) eps)
	60.8b	(/.f64 (.f64 -2 (.f64 eps x)) eps)
	37.8b	(/.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))))
✓	22.3b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	57.1b	(/.f64 eps x)
✓	22.4b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	23.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	44.5b	(.f64 (/.f64 (/.f64 eps eps) (-.f64 (.f64 (.f64 2 x) x) (.f64 eps 1/2))) (*.f64 eps x))
	34.0b	(.f64 (/.f64 (/.f64 1 eps) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (*.f64 eps eps))
	56.2b	(.f64 (/.f64 (/.f64 1 eps) (.f64 2 x)) (*.f64 eps eps))
	45.6b	(.f64 (/.f64 eps (.f64 eps (*.f64 2 x))) eps)
	54.6b	(*.f64 (/.f64 1 (neg.f64 eps)) (/.f64 -1/2 (/.f64 (/.f64 x eps) eps)))
	37.9b	(*.f64 (/.f64 1/2 (/.f64 x eps)) 1)
	53.9b	(.f64 (/.f64 1/2 eps) (.f64 eps (/.f64 eps x)))
	37.9b	(.f64 (.f64 (/.f64 1 eps) (*.f64 1/2 (/.f64 eps x))) eps)
✓	60.5b	(*.f64 x -2)
✓	37.8b	(*.f64 1/2 (/.f64 eps x))
	53.9b	(neg.f64 (/.f64 (/.f64 (neg.f64 eps) (/.f64 x eps)) (/.f64 eps 1/2)))
	37.8b	(neg.f64 (/.f64 eps (.f64 eps (.f64 (/.f64 x eps) -2))))
	61.8b	x

Compiler

Compiled 295 to 194 computations (34.2% saved)

regimes61.0ms (0.8%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	eps
18.0ms	x
15.0ms	(-.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 360 to 167 computations (53.6% saved)

regimes115.0ms (1.4%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	eps
28.0ms	x
25.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
8.0b	2	`x`
8.4b	4	`eps`
0.4b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 253 to 132 computations (47.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.987955477854866e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes95.0ms (1.2%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

50.0ms	eps
39.0ms	x

Results

Error	Segments	Branch
8.1b	2	`x`
8.4b	4	`eps`

Compiler

Compiled 235 to 122 computations (48.1% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.429041390281193e-108	5.91033170583941e-108

Results

7.0ms	72×	body	256	valid
4.0ms	8×	body	256	invalid
1.0ms	8×	body	512	valid

Compiler

Compiled 125 to 85 computations (32% saved)

regimes31.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	eps
13.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`eps`

Compiler

Compiled 223 to 118 computations (47.1% saved)

regimes23.0ms (0.3%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
37.8b	1	`x`
37.8b	1	`eps`

Compiler

Compiled 144 to 77 computations (46.5% saved)

regimes11.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

5.0ms	eps
4.0ms	x

Results

Error	Segments	Branch
57.1b	1	`x`
57.1b	1	`eps`

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes9.0ms (0.1%)

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(*.f64 x -2)

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

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

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 6213926106628337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(*.f64 1/2 (/.f64 eps x))
(/.f64 eps x)
(*.f64 x -2)
x

Outputs
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(if (<=.f64 x 6213926106628337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 6213926106628337/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x)))))
(*.f64 1/2 (/.f64 eps x))
(*.f64 (/.f64 eps x) 1/2)
(/.f64 eps x)
(*.f64 x -2)
x

Compiler

Compiled 99 to 58 computations (41.4% saved)

soundness149.0ms (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)

end50.0ms (0.6%)

Compiler: Compiled 85 to 37 computations (56.5% saved)

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

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

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

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

Details

analyze19.0ms (0.2%)

sample1.3s (15.9%)

preprocess28.0ms (0.4%)

simplify24.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.1%)

series6.0ms (0.1%)

rewrite95.0ms (1.2%)

simplify153.0ms (1.9%)

eval166.0ms (2.1%)

prune95.0ms (1.2%)

localize11.0ms (0.1%)

series9.0ms (0.1%)

rewrite90.0ms (1.1%)

simplify128.0ms (1.6%)

localize3.0ms (0%)

localize2.0ms (0%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite56.0ms (0.7%)

simplify59.0ms (0.7%)

eval182.0ms (2.3%)

prune102.0ms (1.3%)

localize9.0ms (0.1%)

series2.0ms (0%)

rewrite69.0ms (0.9%)

simplify58.0ms (0.7%)

localize15.0ms (0.2%)

series5.0ms (0.1%)

rewrite97.0ms (1.2%)

simplify93.0ms (1.2%)

localize25.0ms (0.3%)

series19.0ms (0.2%)

rewrite102.0ms (1.3%)

simplify137.0ms (1.7%)

localize14.0ms (0.2%)

series7.0ms (0.1%)

rewrite135.0ms (1.7%)

simplify126.0ms (1.6%)

eval1.2s (14.6%)

prune818.0ms (10.3%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite67.0ms (0.8%)

simplify58.0ms (0.7%)

localize3.0ms (0%)

localize8.0ms (0.1%)

series8.0ms (0.1%)

rewrite115.0ms (1.4%)

simplify91.0ms (1.1%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite82.0ms (1%)

simplify110.0ms (1.4%)

localize22.0ms (0.3%)

series5.0ms (0.1%)

rewrite124.0ms (1.6%)

simplify165.0ms (2.1%)

eval752.0ms (9.5%)

prune333.0ms (4.2%)

regimes61.0ms (0.8%)

regimes115.0ms (1.4%)

bsearch0.0ms (0%)

regimes95.0ms (1.2%)

bsearch13.0ms (0.2%)

regimes31.0ms (0.4%)

regimes23.0ms (0.3%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

simplify10.0ms (0.1%)

soundness149.0ms (1.9%)

end50.0ms (0.6%)

Profiling

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

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