Details

analyze20.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 25 to 17 computations (32% saved)

sample1.3s (16.5%)

Results

689.0ms	5919×	body	256	valid
303.0ms	1163×	body	1024	valid
225.0ms	1133×	body	512	valid
17.0ms	177×	body	256	invalid
13.0ms	41×	body	2048	valid

Bogosity

preprocess34.0ms (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)

simplify23.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

25.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.9b	(-.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)
✓	4.6b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series6.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite100.0ms (1.3%)

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))))))))

simplify128.0ms (1.7%)

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

eval128.0ms (1.7%)

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

prune73.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Error

Counts

426 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	37.2b	(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
▶	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	26.4b	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.9b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	28.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.2b	(-.f64 x x)
	0.4b	(.f64 (+.f64 eps (.f64 x 0)) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
▶	61.8b	(*.f64 x 2)
▶	34.0b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 202 to 136 computations (32.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 12 computations (71.4% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite87.0ms (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)))))

simplify124.0ms (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 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
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(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2) 3)) (.f64 (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (-.f64 (.f64 x x) eps) 3/2) 3)) (.f64 (-.f64 (.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps)) (-.f64 (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (pow.f64 x 3) (pow.f64 (-.f64 (*.f64 x x) eps) 3/2)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 (-.f64 (.f64 x x) eps) 2) (.f64 (.f64 x x) (-.f64 (*.f64 x x) eps))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))) (+.f64 (+.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 2)) (.f64 x (.f64 x (fma.f64 x x (neg.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (+.f64 (pow.f64 x 4) (.f64 (-.f64 (.f64 x x) eps) (-.f64 (.f64 x (+.f64 x x)) eps)))))
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)))
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (-.f64 (.f64 x x) eps) 3)) (-.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2))) (-.f64 (.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)) eps)))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) 1) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))) (cbrt.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))) (-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(/.f64 (-.f64 (fma.f64 x x eps) (.f64 x x)) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4)) (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) 1) (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))))))) (sqrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (.f64 (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))))))) (cbrt.f64 (fma.f64 x x (-.f64 (.f64 x x) (+.f64 eps (.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x (neg.f64 eps)) 3/2)) (fma.f64 x x (-.f64 (fma.f64 x x (neg.f64 eps)) (*.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (.f64 x (+.f64 x x)) (fma.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)) eps)))
(pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 1)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 2)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))) 3)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3) 1/3)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 2))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) 2))
(fabs.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 1 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 1 (sqrt.f64 (-.f64 (*.f64 x x) eps)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4) x)
(fma.f64 (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) (pow.f64 (fma.f64 x x (neg.f64 eps)) 1/4) x)
(+.f64 x (pow.f64 (-.f64 (*.f64 x x) eps) 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(+.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(fma.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x (neg.f64 eps))) (cbrt.f64 (sqrt.f64 (fma.f64 x x (neg.f64 eps)))) x)

localize3.0ms (0%)

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

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)

series2.0ms (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)))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify57.0ms (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))

localize18.0ms (0.2%)

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)
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
✓	15.4b	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))

Compiler

Compiled 41 to 17 computations (58.5% saved)

series14.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	-inf	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
2.0ms	eps	@	inf	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
1.0ms	x	@	inf	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
1.0ms	eps	@	0	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
1.0ms	x	@	0	(-.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`*-commutative`
820×	`associate-*r/`
648×	`associate-*l/`
576×	`distribute-lft-in`
566×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	255	59
2	3339	59

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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

simplify132.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1294×	`fma-def`
942×	`associate-r`
794×	`*-commutative`
756×	`+-commutative`
718×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	710	16071
1	2082	14479

Stop Event

1×	node limit

Counts

231 → 376

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(neg.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) x)
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 x (.f64 1/2 (.f64 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps))))))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))) x) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 x x))) x) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.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 (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (+.f64 x (.f64 1/2 (.f64 (*.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))))))
(fma.f64 -1 (.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)) (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))) x) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 x x))) x) (.f64 (sqrt.f64 eps) (sqrt.f64 -1))) (.f64 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3)))) -1/8) (pow.f64 x 4)))
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 1/2 (/.f64 eps x) 0)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) x)) (.f64 1/16 (.f64 (pow.f64 eps 2) x))) (pow.f64 x 4))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (*.f64 -1 x) x)))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 x (.f64 (.f64 eps eps) -3/32)) (.f64 1/16 (.f64 x (.f64 eps eps)))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 eps x) (*.f64 0 x)))
(-.f64 (fma.f64 1/2 (/.f64 eps x) 0) (/.f64 (.f64 x (+.f64 (.f64 2 (.f64 eps (.f64 eps -3/32))) (.f64 1/16 (.f64 eps eps)))) (pow.f64 x 4)))
x
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (*.f64 x 2))
(fma.f64 x 2 (*.f64 (/.f64 eps x) -1/2))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/16 (.f64 (pow.f64 eps 2) x)) (.f64 -2 (.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) x))) (pow.f64 x 4))) (*.f64 2 x)))
(fma.f64 -1/2 (/.f64 eps x) (fma.f64 -1 (/.f64 (fma.f64 -1/16 (.f64 x (.f64 eps eps)) (.f64 (.f64 x (.f64 (.f64 eps eps) -3/32)) -2)) (pow.f64 x 4)) (*.f64 x 2)))
(fma.f64 (/.f64 eps x) -1/2 (-.f64 (+.f64 x x) (/.f64 (.f64 x (+.f64 (.f64 (.f64 eps eps) -1/16) (.f64 (.f64 eps (.f64 eps -3/32)) -2))) (pow.f64 x 4))))
(*.f64 1/2 (/.f64 eps x))
(/.f64 1/2 (/.f64 x eps))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (.f64 1/2 (/.f64 eps x)))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 (/.f64 x eps)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (*.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5)))))
(fma.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 eps x) (/.f64 1/16 (/.f64 (pow.f64 x 5) (pow.f64 eps 3)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7))) (+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))))))
(fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (fma.f64 5/128 (/.f64 (pow.f64 eps 4) (pow.f64 x 7)) (fma.f64 1/2 (/.f64 eps x) (.f64 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 x 5) (pow.f64 eps 3))))))
(-.f64 x (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2))
(-.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 (+.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) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2))
(-.f64 (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) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) eps) (.f64 x x)) x) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2))
(-.f64 (+.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 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4))) (.f64 2 (.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))) x)) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) 2))
(-.f64 (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))) (fma.f64 -1 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2) (.f64 (pow.f64 x 4) -3/32)))) (.f64 eps eps)) x)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) eps) (.f64 x x)) (-.f64 x (/.f64 (fma.f64 2 (.f64 (pow.f64 x 4) (.f64 -3/32 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) (.f64 (pow.f64 x 4) 1/16))) (*.f64 eps eps)))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (+.f64 (.f64 -1/12 (pow.f64 x 6)) (+.f64 (.f64 1/32 (pow.f64 x 6)) (.f64 -1/384 (pow.f64 x 6)))))) (.f64 -1/2 (.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 1/2 (/.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 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4))) (.f64 2 (.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))) x))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2) (fma.f64 1/32 (pow.f64 x 6) (.f64 (pow.f64 x 6) -11/128))) (.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 (.f64 (pow.f64 x 4) -3/32) (.f64 x x))))) (pow.f64 eps 3)) (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))) (fma.f64 -1 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 x 4) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2)) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2) (.f64 (pow.f64 x 4) -3/32)))) (*.f64 eps eps)) x))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 eps))))) 2))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) eps) (.f64 x x)) (-.f64 x (/.f64 (fma.f64 2 (.f64 (pow.f64 x 4) (.f64 -3/32 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) (.f64 (pow.f64 x 4) 1/16))) (.f64 eps eps)))) (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) (.f64 (pow.f64 x 6) -7/128)) (.f64 -1/2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2) (.f64 (pow.f64 x 6) -3/32)))) (pow.f64 eps 3))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (log.f64 eps))) 2))
(-.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) x) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))) x) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 x x))) x) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))))) (.f64 1/16 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (pow.f64 x 4))))) (pow.f64 eps 2))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) x)) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 4) -3/32))) (.f64 1/16 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (pow.f64 x 4))))) (.f64 eps eps)) (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))) x)) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(-.f64 (-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 eps)) (.f64 x x))) x) (/.f64 (fma.f64 2 (.f64 (sqrt.f64 -1) (.f64 (.f64 (pow.f64 x 4) -3/32) (sqrt.f64 eps))) (.f64 (.f64 (.f64 (sqrt.f64 eps) 1/16) (pow.f64 x 4)) (sqrt.f64 -1))) (.f64 eps eps))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (pow.f64 eps 5))))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))))) (.f64 1/16 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (pow.f64 x 4))))) (pow.f64 eps 2))) (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/32 (pow.f64 x 6)) (+.f64 (.f64 1/12 (pow.f64 x 6)) (.f64 1/384 (pow.f64 x 6))))) (sqrt.f64 (/.f64 1 (pow.f64 eps 5))))) (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 (.f64 (pow.f64 x 4) -3/32) (.f64 x x)) (sqrt.f64 (/.f64 1 (pow.f64 eps 5))))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 4) -3/32))) (.f64 1/16 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (pow.f64 x 4))))) (.f64 eps eps)) (fma.f64 2 (.f64 (sqrt.f64 -1) (.f64 (fma.f64 -1/32 (pow.f64 x 6) (.f64 (pow.f64 x 6) 11/128)) (sqrt.f64 (/.f64 1 (pow.f64 eps 5))))) (fma.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 eps)))) x)))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
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x
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x
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(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4)) (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (-.f64 (*.f64 x x) eps)))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(.f64 (cbrt.f64 (-.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 (-.f64 (.f64 x x) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/8)) (pow.f64 (-.f64 (*.f64 x x) eps) 1/8))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(.f64 (.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (cbrt.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 x x) eps)))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x x) eps)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2) 1/2))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (fabs.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (sqrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4))))
(/.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 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 (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 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (.f64 (cbrt.f64 (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 (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 (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 (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 (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 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (cbrt.f64 (+.f64 (pow.f64 x 4) (*.f64 eps (fma.f64 x x eps)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) (.f64 eps (fma.f64 x x eps)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (fma.f64 eps (fma.f64 x x eps) (pow.f64 x 4)))) (cbrt.f64 (-.f64 (pow.f64 x 6) (pow.f64 eps 3))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 x 4) (.f64 eps eps))) (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))))
(sqrt.f64 (-.f64 (*.f64 x x) eps))
(fabs.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(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))
(-.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 (sqrt.f64 (-.f64 (.f64 x x) eps))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)))) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 x x) eps))))
(.f64 (sqrt.f64 (cbrt.f64 (-.f64 (.f64 x x) eps))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
(.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (.f64 x x) eps) 1/4))
(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)
(fabs.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
(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 (-.f64 (*.f64 x x) eps) 3/4))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4)))
(pow.f64 (-.f64 (*.f64 x x) eps) 1/4)
(exp.f64 (.f64 1/4 (log.f64 (-.f64 (.f64 x x) eps))))
(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)

eval400.0ms (5.2%)

Compiler: Compiled 30540 to 14257 computations (53.3% saved)

prune282.0ms (3.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1106	9	1115
Fresh	3	1	4
Picked	1	0	1
Done	2	3	5
Total	1112	13	1125

Error

Counts

1125 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.2b	(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
▶	33.6b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
	26.4b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))
▶	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	34.3b	(/.f64 1/2 (/.f64 x eps))
	29.0b	(-.f64 x (pow.f64 (pow.f64 (neg.f64 eps) 1/4) 2))
	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.9b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	0.4b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
✓	34.0b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x
	61.2b	0

Compiler

Compiled 222 to 151 computations (32% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 7 computations (80.6% saved)

series1.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite68.0ms (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))))))))))

simplify103.0ms (1.3%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1/2 (/.f64 x eps))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

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

Outputs

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

simplify43.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

52 → 29

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 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	@	0	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
0.0ms	eps	@	inf	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
0.0ms	x	@	0	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
0.0ms	eps	@	-inf	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))

rewrite111.0ms (1.5%)

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	48
1	285	48
2	3981	48

Stop Event

1×	node limit

Counts

2 → 131

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))

Outputs

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

simplify154.0ms (2%)

Algorithm

1×	egg-herbie

Rules

692×	`+-commutative`
676×	`times-frac`
628×	`associate-r`
586×	`associate-/r*`
530×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	404	7807
1	1238	7537
2	5957	7533

Stop Event

1×	node limit

Counts

179 → 215

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

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

localize13.0ms (0.2%)

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)
✓	0.2b	(/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	0.3b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)

Compiler

Compiled 49 to 12 computations (75.5% saved)

series5.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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

simplify132.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

164 → 270

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 x 3) 1/8)
✓	0.0b	(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))
✓	27.2b	(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))
1.0ms	eps	@	0	(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))
1.0ms	x	@	0	(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))
1.0ms	eps	@	inf	(/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8))
0.0ms	eps	@	-inf	(fma.f64 1/2 (/.f64 eps x) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3) 1/8)))

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`swap-sqr`
738×	`associate-/r/`
492×	`associate-/l/`
396×	`distribute-lft-neg-in`
342×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	311	77
2	4018	77

Stop Event

1×	node limit

Counts

3 → 155

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (/.f64 1/8 (pow.f64 x 3)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (*.f64 eps eps) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (*.f64 eps (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 1/2) (pow.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 1/2) 2) (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (cbrt.f64 (*.f64 eps eps)) (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 eps x) 2) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 eps eps)) (/.f64 -1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 (*.f64 eps eps) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 (*.f64 eps eps) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3/2) (sqrt.f64 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 x x) 4)) (*.f64 (/.f64 (*.f64 eps eps) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) x) (/.f64 1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) 1) (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3/2)) (/.f64 1/8 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (*.f64 eps (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (*.f64 (/.f64 eps (pow.f64 x 3)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 eps (pow.f64 x 3)) 1/8) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 x 3))) (*.f64 (*.f64 eps eps) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) (neg.f64 (pow.f64 x 3))) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/8 (pow.f64 x 3)) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 x 3)) (/.f64 eps 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 x 3)) (*.f64 eps 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) 1) (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x 3)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 (*.f64 x x) 4)) (/.f64 (*.f64 1/2 eps) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3)) (/.f64 (cbrt.f64 (*.f64 eps eps)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (pow.f64 x 3/2)) (sqrt.f64 1/8)) (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (pow.f64 x 3/2)) (sqrt.f64 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (*.f64 x x) 4)) (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1/8 (pow.f64 x 3)) (neg.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (neg.f64 (pow.f64 x 3))) (*.f64 eps -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (*.f64 (pow.f64 x 3) -8)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 (sqrt.f64 eps) 1/8))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (*.f64 eps eps)) 1/8))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps eps) -1) (/.f64 -1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (pow.f64 x 3) (*.f64 (cbrt.f64 (pow.f64 eps 4)) 1/8))) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 eps) (*.f64 (/.f64 (pow.f64 x 3) eps) 8)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (/.f64 (pow.f64 x 3) eps) 8)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 x 3) 8)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (*.f64 eps eps)) -1) (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (*.f64 eps eps)) (pow.f64 x 3)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) 1) x) (/.f64 1/8 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) 1) 1) (/.f64 1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) 1) (pow.f64 x 3/2)) (/.f64 1/8 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) 1) (*.f64 x x)) (/.f64 1/8 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) 1) (neg.f64 (pow.f64 x 3))) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) 1) -1) (/.f64 -1/8 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3/2) (sqrt.f64 1/8))) 1) (sqrt.f64 (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3/2) (sqrt.f64 1/8))) (pow.f64 x 3/2)) (sqrt.f64 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) (/.f64 (pow.f64 x 3/2) (sqrt.f64 1/8))) (sqrt.f64 (neg.f64 (pow.f64 x 3)))) (sqrt.f64 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4)) x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4)) 1) (cbrt.f64 (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) 4)) (neg.f64 x)) (cbrt.f64 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (/.f64 1/8 (pow.f64 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 eps eps)) x) 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (*.f64 (*.f64 eps eps) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 eps eps) (/.f64 -1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1 (*.f64 (/.f64 (*.f64 eps eps) (pow.f64 x 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 eps (/.f64 (pow.f64 x 3) (*.f64 eps -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (*.f64 eps eps)) (*.f64 (pow.f64 x 3) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 eps 4) (pow.f64 x 6)) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (/.f64 1/8 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (pow.f64 x 3) 8) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (/.f64 1/8 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps (/.f64 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simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1762×	`distribute-lft-in`
1760×	`distribute-rgt-in`
820×	`associate-r`
648×	`associate-l`
622×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	369	6005
1	1028	5921
2	5328	5921

Stop Event

1×	node limit

Counts

215 → 212

Calls

Call 1

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

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

eval651.0ms (8.5%)

Compiler: Compiled 35024 to 16112 computations (54% saved)

prune515.0ms (6.7%)

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	1431	7	1438
Fresh	1	4	5
Picked	1	0	1
Done	1	6	7
Total	1434	17	1451

Error

Counts

1451 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	60.6b	(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))
	33.6b	(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 (/.f64 eps x) -1/2)))
▶	33.6b	(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	26.4b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
✓	34.3b	(/.f64 1/2 (/.f64 x eps))
	29.0b	(-.f64 x (pow.f64 (pow.f64 (neg.f64 eps) 1/4) 2))
▶	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.9b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	33.7b	(.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) eps)
✓	0.4b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
	34.1b	(*.f64 (/.f64 1/2 x) eps)
▶	60.6b	(*.f64 x -2)
✓	34.0b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x
	61.2b	0

Compiler

Compiled 253 to 174 computations (31.2% 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)

series9.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	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))))
0.0ms	x	@	0	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	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))))))

simplify57.0ms (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))
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(/.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)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.6b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 125

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

149 → 195

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 18 computations (55% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite71.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	234	27
2	3459	27

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

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

Outputs

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

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1326×	`associate-*r/`
922×	`associate-/r*`
920×	`fma-def`
828×	`associate-*l/`
738×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	5579
1	722	5509
2	2471	5161

Stop Event

1×	node limit

Counts

99 → 131

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 54 to 27 computations (50% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1746×	`associate-/r*`
1092×	`associate-/l*`
882×	`distribute-lft-in`
582×	`associate-/r/`
278×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	269	54
2	3751	54

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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

simplify113.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1432×	`distribute-lft-in`
1394×	`distribute-rgt-in`
766×	`associate-/r/`
542×	`+-commutative`
448×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	423	8954
1	1180	8750
2	4348	8750

Stop Event

1×	node limit

Counts

176 → 249

Calls

Call 1

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

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

eval600.0ms (7.9%)

Compiler: Compiled 24779 to 12701 computations (48.7% saved)

prune235.0ms (3.1%)

Pruning

22 alts after pruning (11 fresh and 11 done)

	Pruned	Kept	Total
New	895	7	902
Fresh	2	4	6
Picked	0	1	1
Done	0	10	10
Total	897	22	919

Error

Counts

919 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	34.3b	(/.f64 (.f64 (+.f64 (+.f64 x (.f64 1/2 (/.f64 eps x))) x) (.f64 1/2 (/.f64 eps x))) (+.f64 (-.f64 x (.f64 (/.f64 eps x) -1/2)) x))
	33.6b	(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
✓	33.6b	(/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
✓	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
✓	26.4b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	60.6b	(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
	56.5b	(/.f64 eps x)
✓	34.3b	(/.f64 1/2 (/.f64 x eps))
	29.0b	(-.f64 x (pow.f64 (pow.f64 (neg.f64 eps) 1/4) 2))
✓	59.5b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	25.9b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	28.8b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	33.7b	(.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (/.f64 eps x)) x))) eps)
✓	0.4b	(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) eps)
	60.6b	(.f64 (/.f64 1 (.f64 (/.f64 eps x) -1/2)) eps)
	34.1b	(*.f64 (/.f64 1/2 x) eps)
	60.6b	(.f64 (.f64 (/.f64 -2 eps) x) eps)
	60.6b	(.f64 (.f64 -2 (/.f64 x eps)) eps)
✓	60.6b	(*.f64 x -2)
✓	34.0b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x
	61.2b	0

Compiler

Compiled 216 to 143 computations (33.8% saved)

regimes88.0ms (1.2%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
16.0ms	eps
15.0ms	x

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 306 to 145 computations (52.6% saved)

regimes180.0ms (2.4%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

3 calls:

65.0ms	eps
60.0ms	x
50.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
4.7b	2	`x`
10.4b	6	`eps`
0.5b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 209 to 106 computations (49.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.3370151687254189e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes137.0ms (1.8%)

Counts

23 → 2

Calls

Call 1

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

84.0ms	eps
48.0ms	x

Results

Error	Segments	Branch
5.3b	2	`x`
10.5b	6	`eps`

Compiler

Compiled 182 to 93 computations (48.9% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	9.908220202369755e-113	2.6617218011877107e-112

Results

9.0ms	72×	body	256	valid
1.0ms	8×	body	512	valid
1.0ms	10×	body	256	invalid

Compiler

Compiled 125 to 85 computations (32% saved)

regimes27.0ms (0.4%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	eps
11.0ms	x

Results

Error	Segments	Branch
33.6b	1	`x`
33.6b	1	`eps`

Compiler

Compiled 170 to 89 computations (47.6% saved)

regimes54.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
34.0b	1	`x`
34.0b	1	`eps`

Compiler

Compiled 85 to 45 computations (47.1% saved)

regimes14.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

7.0ms	eps
5.0ms	x

Results

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 x -2)

Calls

2 calls:

5.0ms	x
4.0ms	eps

Results

Error	Segments	Branch
60.6b	1	`x`
60.6b	1	`eps`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.9b remaining (-1.4%)

Threshold costs -0.9b (-1.4%)

Counts

2 → 1

Calls

Call 1

Inputs
0
x

Outputs
0

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

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	34	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 324922229779783/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.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)
0

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 324922229779783/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 324922229779783/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (-.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)
0

Compiler

Compiled 99 to 59 computations (40.4% saved)

soundness152.0ms (2%)

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)

end72.0ms (0.9%)

Compiler: Compiled 85 to 38 computations (55.3% saved)

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

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

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

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

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

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