Details

analyze23.0ms (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 (16.6%)

Results

713.0ms	5937×	body	256	valid
309.0ms	1116×	body	1024	valid
230.0ms	1162×	body	512	valid
13.0ms	141×	body	256	invalid
13.0ms	41×	body	2048	valid

Bogosity

preprocess25.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

21.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	0.0b	(-.f64 (*.f64 x x) eps)
✓	5.2b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 26 to 6 computations (76.9% saved)

series9.0ms (0.1%)

Counts

3 → 56

Calls

18 calls:

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

rewrite90.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	200	53
2	2841	53

Stop Event

1×	node limit

Counts

3 → 243

Calls

Call 1

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

Outputs
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Outputs

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

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	671	15441
1	1874	14569

Stop Event

1×	node limit

Counts

299 → 425

Calls

Call 1

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

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

eval128.0ms (1.6%)

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

prune86.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	415	10	425
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	415	11	426

Error

Counts

426 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(/.f64 (/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))
	9.3b	(/.f64 (+.f64 eps 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))))
▶	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
▶	52.1b	(/.f64 (.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
	21.8b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
✓	21.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	25.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	61.4b	(-.f64 x x)
▶	61.8b	(*.f64 x 2)
▶	38.1b	(*.f64 1/2 (/.f64 eps x))

Compiler

Compiled 302 to 178 computations (41.1% saved)

localize15.0ms (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 x (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)

series9.0ms (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))))
1.0ms	eps	@	0	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))

rewrite86.0ms (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)))))

simplify109.0ms (1.4%)

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 (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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 13

Calls

6 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify56.0ms (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))

localize19.0ms (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 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.1b	(*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0)))

Compiler

Compiled 61 to 27 computations (55.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`add-sqr-sqrt`
996×	`*-un-lft-identity`
938×	`pow1`
936×	`add-cube-cbrt`
928×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	1
1	157	1
2	1620	1

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0)))

Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1468×	`associate-*r/`
1120×	`associate-/r/`
1000×	`unswap-sqr`
900×	`associate-/l/`
768×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	40
1	139	40
2	825	40

Stop Event

1×	node limit

Counts

40 → 30

Calls

Call 1

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

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

eval356.0ms (4.6%)

Compiler: Compiled 26887 to 12185 computations (54.7% saved)

prune257.0ms (3.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	959	6	965
Fresh	2	3	5
Picked	1	0	1
Done	2	3	5
Total	964	12	976

Error

Counts

976 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
▶	0.5b	(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
▶	37.5b	(/.f64 (+.f64 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
	23.4b	(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))
▶	0.3b	(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
▶	21.8b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
✓	21.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	25.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	61.4b	(-.f64 x x)
✓	38.1b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 229 to 150 computations (34.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 7 computations (80.6% saved)

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 97

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize15.0ms (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)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite102.0ms (1.3%)

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)))))

simplify101.0ms (1.3%)

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))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(*.f64 -1/2 (/.f64 eps x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1)
(*.f64 eps (/.f64 1 (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
(*.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))) 1)
(*.f64 1 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
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(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))
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(/.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))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))
(fma.f64 -1/2 (/.f64 eps x) (+.f64 x x))
(fma.f64 (/.f64 eps x) -1/2 (+.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x))))) 1)
(/.f64 eps (+.f64 x (fma.f64 -1/2 (/.f64 eps x) x)))
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(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))

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.1b	(/.f64 1 (-.f64 (*.f64 x x) eps))
✓	0.2b	(/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))
✓	6.1b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))

Compiler

Compiled 51 to 22 computations (56.9% saved)

series6.0ms (0.1%)

Counts

3 → 64

Calls

18 calls:

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

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	270	55
2	3436	55

Stop Event

1×	node limit

Counts

3 → 241

Calls

Call 1

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

Outputs

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

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

842×	`associate-r`
684×	`associate-l`
648×	`+-commutative`
634×	`*-commutative`
560×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	15213
1	2042	14437

Stop Event

1×	node limit

Counts

305 → 434

Calls

Call 1

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

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

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2))
	0.0b	(-.f64 (*.f64 x x) eps)
✓	0.3b	(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
✓	0.5b	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)

Compiler

Compiled 60 to 28 computations (53.3% saved)

series27.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	inf	(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
4.0ms	x	@	0	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
3.0ms	eps	@	-inf	(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
2.0ms	eps	@	inf	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)
2.0ms	x	@	inf	(pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)

rewrite91.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`associate-/r*`
1008×	`associate-/l*`
968×	`associate-/r/`
308×	`add-sqr-sqrt`
296×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	329	69
2	4244	69

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

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((#(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 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(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 log1p.f64 (expm1.f64 (+.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 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 (cbrt.f64 (-.f64 (*.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps))) 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)))))))

simplify169.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-r`
912×	`*-commutative`
858×	`associate-/r*`
788×	`associate-/l*`
762×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	734	16416
1	2296	15676

Stop Event

1×	node limit

Counts

224 → 382

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) (sqrt.f64 eps))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)))) (pow.f64 x 4)) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
(+.f64 (.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 -3/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 3))) (sqrt.f64 -1)))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 3/64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (sqrt.f64 -1))) (.f64 -7/64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 eps 5))) (sqrt.f64 -1)))) (pow.f64 x 6)) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 -1) (sqrt.f64 eps)))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/32 (pow.f64 eps 3)))) (pow.f64 x 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/32 (pow.f64 eps 2)) (*.f64 -1/8 (pow.f64 eps 2)))) (pow.f64 x 5))) x)))))
(*.f64 -1 x)
(+.f64 (.f64 1/2 (/.f64 eps x)) (.f64 -1 x))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 -1 x))))
(+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 eps (+.f64 (.f64 1/32 (pow.f64 eps 2)) (.f64 -1/8 (pow.f64 eps 2)))) (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (.f64 -1 x) (.f64 -2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 eps 3)) (+.f64 (.f64 -1/12 (pow.f64 eps 3)) (.f64 1/32 (pow.f64 eps 3)))) (pow.f64 x 5))))))))
x
(+.f64 (*.f64 -1/2 (/.f64 eps x)) x)
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x))
(+.f64 (.f64 -1/2 (/.f64 eps x)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 5))) (+.f64 (*.f64 -1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) x)))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 2)) eps)))
(+.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)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))) (pow.f64 eps 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4)) (pow.f64 eps 2))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (+.f64 (.f64 1/32 (pow.f64 x 6)) (+.f64 (.f64 -1/384 (pow.f64 x 6)) (.f64 -1/12 (pow.f64 x 6))))) (pow.f64 eps 3))) (+.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)))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 -1))
(+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))
(+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (+.f64 (.f64 1/16 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (.f64 (sqrt.f64 eps) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 -1) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))))) (.f64 2 (.f64 (sqrt.f64 eps) (.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)))))))) (pow.f64 eps 3))) (+.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4)))) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (+.f64 (.f64 -1/2 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 eps)))) (+.f64 (.f64 1/16 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 x 4)) (sqrt.f64 (/.f64 1 (pow.f64 eps 3))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 -1))))))
(*.f64 1/2 (/.f64 eps x))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 eps x)))
(+.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 eps (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x))
(+.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x)) (.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)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))))
(+.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 4) (pow.f64 x 4)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 3))) (+.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 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))) (.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 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))))) eps)) (.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)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.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 1/32 (pow.f64 x 6)) (+.f64 (.f64 -1/384 (pow.f64 x 6)) (.f64 -1/12 (pow.f64 x 6))))) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 (+.f64 (.f64 -1/8 (pow.f64 x 4)) (.f64 1/32 (pow.f64 x 4))) (pow.f64 x 2))) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 4) (pow.f64 x 4)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (pow.f64 x 4)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))) (.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 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))))))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x))) (.f64 1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) (.f64 (+.f64 (.f64 1/16 (.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 x 2))) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 3)))))) (pow.f64 eps 2))) (+.f64 (/.f64 eps (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 4) (pow.f64 x 4)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 3))) (+.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 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))) (.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 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))))) eps)) (.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)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 eps)))))) 2) x) 2))))))
(/.f64 eps (+.f64 x (*.f64 (sqrt.f64 -1) (sqrt.f64 eps))))
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(.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 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))) (pow.f64 eps 3)) eps)
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (.f64 eps eps) (.f64 eps eps))) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 eps (pow.f64 eps 3))) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (*.f64 eps eps) (pow.f64 eps 3))) (pow.f64 eps 3))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) eps)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) 0)) (*.f64 eps eps))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (+.f64 0 (pow.f64 (.f64 eps eps) 3))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (-.f64 0 (.f64 (*.f64 eps eps) 0))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (-.f64 (pow.f64 (.f64 eps eps) 3) 0)) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 0 (.f64 (*.f64 eps eps) 0))))
(.f64 (/.f64 (.f64 (pow.f64 eps 3) (/.f64 1 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (.f64 (pow.f64 eps 3) (*.f64 eps eps))) (pow.f64 eps 3))
(.f64 (/.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))))))
(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 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 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 x x) eps)))) (-.f64 1 x))
(-.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 x x) (-.f64 (.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 (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 (.f64 x x) (fma.f64 x x eps)) (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x))
(/.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 (pow.f64 (-.f64 (.f64 x x) eps) 1/4) (sqrt.f64 x))) (-.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)))))
(exp.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps)))) 1))
(log1p.f64 (expm1.f64 (+.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 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 (cbrt.f64 (-.f64 (.f64 x x) eps)) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 x x) eps))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))

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

eval1.1s (13.7%)

Compiler: Compiled 52847 to 24850 computations (53% saved)

prune651.0ms (8.4%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1835	8	1843
Fresh	1	3	4
Picked	1	0	1
Done	2	5	7
Total	1839	16	1855

Error

Counts

1855 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
	60.5b	(/.f64 (+.f64 eps 0) (*.f64 (/.f64 eps x) -1/2))
	37.5b	(/.f64 (neg.f64 eps) (-.f64 (.f64 x -2) (.f64 (/.f64 eps x) -1/2)))
▶	0.5b	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
▶	37.5b	(/.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))))
▶	23.4b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	57.0b	(/.f64 eps x)
▶	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	21.8b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
	25.2b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 -1 eps))))
✓	21.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	25.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	60.5b	(*.f64 x -2)
✓	38.1b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x

Compiler

Compiled 271 to 181 computations (33.2% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 23 computations (57.4% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
1.0ms	eps	@	-inf	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
0.0ms	x	@	0	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
0.0ms	eps	@	0	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
0.0ms	x	@	inf	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1552×	`associate-*r/`
1320×	`associate-*l/`
910×	`associate-/r*`
748×	`associate-/l*`
282×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	279	29
2	3772	29

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify135.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1766×	`associate-/r*`
1586×	`distribute-lft-in`
624×	`associate-r`
556×	`associate-/r/`
540×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	5624
1	969	5000
2	4325	4990

Stop Event

1×	node limit

Counts

58 → 126

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

localize3.0ms (0%)

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.2b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

Compiler

Compiled 29 to 13 computations (55.2% saved)

series2.0ms (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	x	@	inf	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
0.0ms	eps	@	0	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
0.0ms	x	@	-inf	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))

rewrite79.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 125

Calls

Call 1

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

Outputs

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

simplify96.0ms (1.2%)

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

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

localize12.0ms (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)

series15.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	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	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)))

rewrite72.0ms (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

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

simplify73.0ms (0.9%)

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

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)

series7.0ms (0.1%)

Counts

2 → 26

Calls

12 calls:

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

rewrite75.0ms (1%)

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))))))

simplify90.0ms (1.2%)

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))

eval671.0ms (8.6%)

Compiler: Compiled 33566 to 18033 computations (46.3% saved)

prune246.0ms (3.2%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	1064	3	1067
Fresh	2	4	6
Picked	0	1	1
Done	0	9	9
Total	1066	17	1083

Error

Counts

1083 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	21.5b	(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
	37.5b	(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
✓	0.5b	(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
✓	37.5b	(/.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))))
✓	23.4b	(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
	60.5b	(/.f64 eps (*.f64 (/.f64 eps x) -1/2))
	57.0b	(/.f64 eps x)
✓	59.4b	(-.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))
✓	21.8b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
	25.2b	(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 -1 eps))))
✓	21.8b	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	25.2b	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	60.5b	(*.f64 x -2)
✓	38.1b	(*.f64 1/2 (/.f64 eps x))
	61.8b	x
	61.4b	0

Compiler

Compiled 162 to 108 computations (33.3% saved)

regimes47.0ms (0.6%)

Counts

28 → 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 eps (*.f64 (/.f64 eps x) -1/2))
(-.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 eps 0) (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x)))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 x (sqrt.f64 (neg.f64 eps))))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 -1 eps))))
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (neg.f64 eps))))
(/.f64 eps (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(-.f64 x (sqrt.f64 (/.f64 1 (/.f64 1 (-.f64 (*.f64 x x) eps)))))
(/.f64 (+.f64 eps 0) (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(/.f64 (/.f64 eps (/.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps))) eps)) eps)
(/.f64 eps (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
(/.f64 (+.f64 eps 0) (+.f64 x (pow.f64 (pow.f64 (-.f64 (*.f64 x x) eps) 1/4) 2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0))) (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))
(/.f64 (+.f64 eps 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 (.f64 x x) eps) 3/2)) (-.f64 (-.f64 (.f64 x x) eps) (.f64 x (-.f64 (sqrt.f64 (-.f64 (.f64 x x) eps)) x)))))
(/.f64 (/.f64 (+.f64 eps (.f64 x (-.f64 x x))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))))) (sqrt.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))))

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

Calls

3 calls:

15.0ms	eps
13.0ms	x
13.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

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

Compiler

Compiled 299 to 128 computations (57.2% saved)

regimes121.0ms (1.6%)

Counts

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

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

Calls

3 calls:

70.0ms	eps
28.0ms	x
17.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Error	Segments	Branch
6.6b	2	`x`
8.3b	7	`eps`
0.9b	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 146 to 75 computations (48.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.9260242420598763e-150	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes62.0ms (0.8%)

Counts

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

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

Calls

2 calls:

34.0ms	eps
24.0ms	x

Results

Error	Segments	Branch
7.6b	2	`x`
10.0b	4	`eps`

Compiler

Compiled 111 to 56 computations (49.5% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	5.2827831268810346e-110	8.004274127151879e-108

Results

10.0ms	102×	body	256	valid
1.0ms	10×	body	512	valid
1.0ms	12×	body	256	invalid

Compiler

Compiled 169 to 115 computations (32% saved)

regimes19.0ms (0.2%)

Counts

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

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

Calls

2 calls:

8.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
37.5b	1	`x`
37.5b	1	`eps`

Compiler

Compiled 99 to 52 computations (47.5% saved)

regimes48.0ms (0.6%)

Counts

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

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

Calls

2 calls:

39.0ms	eps
6.0ms	x

Results

Error	Segments	Branch
37.5b	1	`x`
37.5b	1	`eps`

Compiler

Compiled 63 to 32 computations (49.2% saved)

regimes18.0ms (0.2%)

Counts

10 → 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 eps (*.f64 (/.f64 eps x) -1/2))
(-.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:

9.0ms	eps
7.0ms	x

Results

Error	Segments	Branch
38.1b	1	`x`
38.1b	1	`eps`

Compiler

Compiled 52 to 27 computations (48.1% saved)

regimes12.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 eps x)

Calls

2 calls:

6.0ms	x
5.0ms	eps

Results

Error	Segments	Branch
57.0b	1	`x`
57.0b	1	`eps`

Compiler

Compiled 22 to 13 computations (40.9% saved)

regimes11.0ms (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:

6.0ms	x
4.0ms	eps

Results

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

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.1%)

Threshold costs -0.7b (-1.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
x

Outputs
0

Calls

2 calls:

3.0ms	eps
3.0ms	x

Results

Error	Segments	Branch
61.4b	1	`x`
61.4b	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	259
1	54	259
2	63	259
3	68	259
4	70	259

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))) -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(if (<=.f64 x 6081714912870287/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.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 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))) -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 x 2))))
(if (<=.f64 x 6081714912870287/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 -1/2 (/.f64 eps x)) x))))
(if (<=.f64 x 6081714912870287/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 -1/2 (/.f64 eps x))))))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 2 x)))
(/.f64 eps (+.f64 (.f64 -1/2 (/.f64 eps x)) (.f64 x 2)))
(/.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 112 to 69 computations (38.4% saved)

soundness154.0ms (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)

end54.0ms (0.7%)

Compiler: Compiled 96 to 45 computations (53.1% 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