Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25.7%	74.3%	0%	0%	0%	0
100%	25.7%	0%	74.3%	0%	0%	0%	1

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.6s (18%)

Results

873.0ms	6103×	body	256	valid
397.0ms	1008×	body	1024	valid
280.0ms	1117×	body	512	valid
14.0ms	28×	body	2048	valid

Bogosity

preprocess202.0ms (2.3%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(-.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 eps 2))
(fma.f64 (neg.f64 eps) eps (pow.f64 (+.f64 x eps) 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify69.0ms (0.8%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))

eval3.0ms (0%)

Compiler: Compiled 20 to 12 computations (40% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

14.8b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.7b	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
▶	15.0b	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize40.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	3.8b	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Compiler

Compiled 25 to 13 computations (48% saved)

series32.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms	eps	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
1.0ms	eps	@	inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Compiler

Compiled 2325 to 1460 computations (37.2% saved)

rewrite123.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

64×	`egg-rr`
30×	`egg-rr`

Counts

2 → 94

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(pow.f64 (+.f64 x eps) 2)

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

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

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

simplify793.0ms (9%)

Algorithm

1×

egglog

Counts

142 → 140

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 (/.f64 1 x) -2)
(+.f64 (pow.f64 (/.f64 1 x) -2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x))))
(+.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x))))
(pow.f64 (/.f64 -1 x) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 x) -2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 x) -2)))
(pow.f64 x 2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 eps) -2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 eps) -2)))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 eps) -2)))
(+.f64 (.f64 2 (.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 eps) -2)))
(fma.f64 -1 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 1 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x x))) (.f64 x (cbrt.f64 x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (.f64 x (cbrt.f64 x))) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (.f64 x (cbrt.f64 x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 1 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 (pow.f64 (+.f64 x eps) 2) 1 (neg.f64 (*.f64 x x)))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)) (neg.f64 (.f64 x x)))
(fma.f64 0 0 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(fma.f64 1 0 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (fma.f64 x (pow.f64 x 3) (.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 x x (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (.f64 x x) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (fma.f64 x (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 x x (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (neg.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (neg.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 2)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (neg.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 2)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (-.f64 (neg.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2)) 0) (/.f64 (fma.f64 x (pow.f64 x 3) (neg.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2))) (-.f64 (neg.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2)))) 0) (/.f64 (-.f64 0 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (+.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (neg.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (neg.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (neg.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2) (*.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))) 0) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2) (*.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 0 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2) (.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2)))))) 0) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2) (.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 x (pow.f64 x 3) (.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 x x (pow.f64 (+.f64 x eps) 2)))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (fma.f64 x (pow.f64 x 3) (*.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 x x (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (neg.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (neg.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 x x (pow.f64 (+.f64 x eps) 2)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (*.f64 x x) 2)) (fma.f64 x x (pow.f64 (+.f64 x eps) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) eps)) (*.f64 (+.f64 x eps) x))
(+.f64 (.f64 (+.f64 x eps) x) (+.f64 (.f64 (+.f64 x eps) eps) (neg.f64 (*.f64 x x))))
(+.f64 (.f64 (+.f64 x eps) x) (-.f64 (.f64 (+.f64 x eps) eps) (*.f64 x x)))
(+.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) x)) (*.f64 (+.f64 x eps) eps))
(+.f64 (.f64 (+.f64 x eps) eps) (+.f64 (.f64 (+.f64 x eps) x) (neg.f64 (*.f64 x x))))
(+.f64 (.f64 (+.f64 x eps) eps) (-.f64 (.f64 (+.f64 x eps) x) (*.f64 x x)))
(+.f64 (neg.f64 (.f64 x x)) (.f64 -1 (neg.f64 (pow.f64 (+.f64 x eps) 2))))
(+.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (pow.f64 (+.f64 x eps) 2)) -1))
(+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (neg.f64 (pow.f64 (+.f64 x eps) 2))))
(+.f64 0 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(-.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) 0) (*.f64 x x))
(-.f64 0 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))
(-.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (+.f64 x eps) 2)))
(*.f64 1 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(*.f64 (+.f64 x (+.f64 x eps)) (-.f64 (+.f64 x eps) x))
(*.f64 -1 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))
(*.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))) -1)
(*.f64 (-.f64 (+.f64 x eps) x) (+.f64 x (+.f64 x eps)))
(*.f64 (neg.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)))
(*.f64 (neg.f64 (+.f64 x (+.f64 x eps))) (-.f64 x (+.f64 x eps)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (+.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)))) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (.f64 x x))))
(*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))
(*.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2))))
(pow.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) 3)
(pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) 1/3)
(neg.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))
(neg.f64 (-.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))) 0))
(cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3))
(fma.f64 eps (+.f64 x eps) (*.f64 (+.f64 x eps) x))
(fma.f64 (+.f64 x eps) eps (*.f64 (+.f64 x eps) x))
(fma.f64 (+.f64 x eps) x (*.f64 (+.f64 x eps) eps))
(fma.f64 x (+.f64 x eps) (*.f64 (+.f64 x eps) eps))
(if (!=.f64 (-.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps))) (-.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 (+.f64 x eps) x) 3)) (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 (+.f64 x eps) x) 3)) (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 (+.f64 x eps) x) 3)) (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (-.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x)) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (pow.f64 (.f64 (+.f64 x eps) x) 2)) (-.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))) (pow.f64 (+.f64 x eps) 2))
(+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))
(*.f64 (+.f64 x eps) (+.f64 x eps))
(*.f64 1 (pow.f64 (+.f64 x eps) 2))
(*.f64 (pow.f64 (+.f64 x eps) 2) 1)
(.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)) (cbrt.f64 (+.f64 x eps)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 x eps) 2))))
(pow.f64 (pow.f64 (+.f64 x eps) 2) 1)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) 3)
(pow.f64 (+.f64 x eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 2 eps) x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 2 (.f64 eps x)) (pow.f64 x 2)))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 2 eps) x)))
(pow.f64 (/.f64 1 x) -2)
(+.f64 (pow.f64 (/.f64 1 x) -2) (.f64 2 (.f64 eps x)))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 x) -2))
(+.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x))))
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 (+.f64 (+.f64 x x) eps) eps))
(+.f64 (pow.f64 (/.f64 1 x) -2) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x))))
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 (+.f64 (+.f64 x x) eps) eps))
(pow.f64 (/.f64 -1 x) -2)
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(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 x) -2))
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(.f64 (+.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (+.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)))) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (.f64 x x))))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(*.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2))))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(pow.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) 3)
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) 1/3)
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(neg.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(neg.f64 (-.f64 (fma.f64 x x (neg.f64 (pow.f64 (+.f64 x eps) 2))) 0))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(fma.f64 eps (+.f64 x eps) (*.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x eps) 2)
(fma.f64 (+.f64 x eps) eps (*.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x eps) 2)
(fma.f64 (+.f64 x eps) x (*.f64 (+.f64 x eps) eps))
(pow.f64 (+.f64 x eps) 2)
(fma.f64 x (+.f64 x eps) (*.f64 (+.f64 x eps) eps))
(pow.f64 (+.f64 x eps) 2)
(if (!=.f64 (-.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps))) (-.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) (-.f64 x eps)) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (+.f64 x eps) (-.f64 eps x))) (.f64 (+.f64 x eps) (-.f64 eps x))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x))) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (*.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x)))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 (+.f64 x eps) x) 3)) (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x))) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (*.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x)))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (*.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x)))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 (+.f64 x eps) x) 3)) (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) x) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (*.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x)))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) x) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (*.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x)))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 (+.f64 x eps) x) 3)) (+.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (-.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 3) (+.f64 (pow.f64 x 3) (pow.f64 eps 3))) (+.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2) (.f64 (*.f64 eps (pow.f64 (+.f64 x eps) 2)) (-.f64 eps x)))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (-.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x)) 0) (/.f64 (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (pow.f64 (.f64 (+.f64 x eps) x) 2)) (-.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (.f64 (+.f64 x eps) (-.f64 eps x)) 0) (/.f64 (.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (+.f64 x eps) (-.f64 eps x))) (.f64 (+.f64 x eps) (-.f64 eps x))) (pow.f64 (+.f64 x eps) 2))
(+.f64 (.f64 (+.f64 x eps) x) (.f64 (+.f64 x eps) eps))
(pow.f64 (+.f64 x eps) 2)
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x eps) 2)
(*.f64 (+.f64 x eps) (+.f64 x eps))
(pow.f64 (+.f64 x eps) 2)
(*.f64 1 (pow.f64 (+.f64 x eps) 2))
(pow.f64 (+.f64 x eps) 2)
(*.f64 (pow.f64 (+.f64 x eps) 2) 1)
(pow.f64 (+.f64 x eps) 2)
(.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)))
(pow.f64 (+.f64 x eps) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)) (cbrt.f64 (+.f64 x eps)))
(pow.f64 (+.f64 x eps) 2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2))))
(pow.f64 (+.f64 x eps) 2)
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)))
(pow.f64 (+.f64 x eps) 2)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(pow.f64 (+.f64 x eps) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2))
(pow.f64 (+.f64 x eps) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) 2))
(pow.f64 (+.f64 x eps) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) 2) 2) (cbrt.f64 (pow.f64 (+.f64 x eps) 2))))
(pow.f64 (+.f64 x eps) 2)
(pow.f64 (pow.f64 (+.f64 x eps) 2) 1)
(pow.f64 (+.f64 x eps) 2)
(pow.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2) 1/3)
(pow.f64 (+.f64 x eps) 2)
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) 3)
(pow.f64 (+.f64 x eps) 2)
(pow.f64 (+.f64 x eps) 2)
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 3) 2))
(pow.f64 (+.f64 x eps) 2)

localize22.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	20.7b	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))

Compiler

Compiled 24 to 10 computations (58.3% saved)

series23.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
1.0ms	x	@	-inf	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
1.0ms	x	@	inf	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
0.0ms	eps	@	0	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
0.0ms	eps	@	inf	(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))

Compiler

Compiled 1375 to 900 computations (34.5% saved)

rewrite127.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

43× egg-rr

Counts

1 → 43

Calls

Call 1

Inputs
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))

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

Outputs

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

simplify389.0ms (4.4%)

Algorithm

1×

egglog

Counts

67 → 70

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2))))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 eps) -2))))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 eps) -2))))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 eps) -2))))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 eps) -2))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (neg.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)) (neg.f64 (.f64 x x)))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x x))) (.f64 x (cbrt.f64 x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 (*.f64 x x)) 1 (pow.f64 (+.f64 x eps) 2))
(fma.f64 (pow.f64 (+.f64 x eps) 2) 1 (neg.f64 (*.f64 x x)))
(fma.f64 1 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(fma.f64 1 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 -1 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x x))))) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2)))) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x x)))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 (neg.f64 x) x (neg.f64 (pow.f64 (+.f64 x eps) 2))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (fma.f64 (neg.f64 x) x (neg.f64 (pow.f64 (+.f64 x eps) 2)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) x)) (*.f64 (+.f64 x eps) eps))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) eps)) (*.f64 (+.f64 x eps) x))
(+.f64 (.f64 (+.f64 x eps) x) (+.f64 (.f64 (+.f64 x eps) eps) (neg.f64 (*.f64 x x))))
(+.f64 (.f64 (+.f64 x eps) eps) (+.f64 (.f64 (+.f64 x eps) x) (neg.f64 (*.f64 x x))))
(+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(+.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) 2) (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))))
(*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) 2))
(*.f64 1 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) -1) -1)
(.f64 -1 (.f64 -1 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))
(pow.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) 3)
(pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(.f64 (.f64 2 eps) x)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(.f64 2 (.f64 eps x))
(.f64 (.f64 2 eps) x)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 2))
0
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2)))
(+.f64 0 (.f64 (.f64 2 eps) x))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2))))
(fma.f64 eps eps (+.f64 0 (.f64 (.f64 2 eps) x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (pow.f64 x 2))))
(fma.f64 eps eps (+.f64 0 (.f64 (.f64 2 eps) x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 eps) -2))))
(+.f64 (+.f64 0 (.f64 (.f64 2 eps) x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 1 eps) -2))))
(+.f64 (+.f64 0 (.f64 (.f64 2 eps) x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 eps) -2))))
(+.f64 (+.f64 0 (.f64 (.f64 2 eps) x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 -1 (pow.f64 x 2)) (+.f64 (.f64 2 (*.f64 eps x)) (+.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 eps) -2))))
(+.f64 (+.f64 0 (.f64 (.f64 2 eps) x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (neg.f64 x)) (.f64 (cbrt.f64 (.f64 x x)) x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 x (neg.f64 x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (.f64 (neg.f64 x) (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (+.f64 x eps)) (neg.f64 (.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (cbrt.f64 (neg.f64 (.f64 x x))) (.f64 x (cbrt.f64 x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 (*.f64 x x)) 1 (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 (pow.f64 (+.f64 x eps) 2) 1 (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 1 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 1 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(fma.f64 -1 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(if (!=.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x x))))) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (.f64 x x) 2)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (*.f64 x x) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2)))) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (.f64 x x) 2)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (*.f64 x x) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (.f64 x x) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (.f64 x x)) (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (*.f64 x x) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (.f64 x x) 2) (.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x x)))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (pow.f64 (+.f64 x eps) 2) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (*.f64 x x) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 (+.f64 x eps) 3) 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (neg.f64 (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 3) (pow.f64 (.f64 x x) 3)) (fma.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x)) (pow.f64 (.f64 x x) 2))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 (neg.f64 x) x (neg.f64 (pow.f64 (+.f64 x eps) 2))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 x x) 2) (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (fma.f64 (neg.f64 x) x (neg.f64 (pow.f64 (+.f64 x eps) 2)))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(if (!=.f64 (fma.f64 (neg.f64 x) x (neg.f64 (pow.f64 (+.f64 x eps) 2))) 0) (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2) (pow.f64 (.f64 x x) 2)) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 x x))) (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) x)) (*.f64 (+.f64 x eps) eps))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) eps)) (*.f64 (+.f64 x eps) x))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(+.f64 (.f64 (+.f64 x eps) x) (+.f64 (.f64 (+.f64 x eps) eps) (neg.f64 (*.f64 x x))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(+.f64 (.f64 (+.f64 x eps) eps) (+.f64 (.f64 (+.f64 x eps) x) (neg.f64 (*.f64 x x))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(+.f64 (neg.f64 (*.f64 x x)) (pow.f64 (+.f64 x eps) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(+.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) 2) (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(*.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 2)) (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(.f64 (.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))) 2) 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(*.f64 1 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(.f64 (.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) -1) -1)
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(.f64 -1 (.f64 -1 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(pow.f64 (cbrt.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))) 3)
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 1)
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3) 1/3)
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))
(cbrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2)) 3))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))

eval168.0ms (1.9%)

Compiler: Compiled 6386 to 2737 computations (57.1% saved)

prune64.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	258	7	265
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	260	7	267

Error

Counts

267 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(fma.f64 2 (.f64 eps x) (.f64 eps eps))
▶	14.9b	(+.f64 (.f64 (+.f64 x eps) x) (-.f64 (.f64 (+.f64 x eps) eps) (*.f64 x x)))
▶	14.9b	(*.f64 (-.f64 (+.f64 x eps) x) (+.f64 x (+.f64 x eps)))
▶	0.0b	(*.f64 (+.f64 (+.f64 x x) eps) eps)
▶	25.8b	(*.f64 (+.f64 x x) eps)
▶	16.9b	(*.f64 eps eps)
	41.2b	0

Compiler

Compiled 125 to 67 computations (46.4% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series18.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1025 to 610 computations (40.5% saved)

rewrite123.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

63× egg-rr

Counts

1 → 63

Calls

Call 1

Inputs
(*.f64 (+.f64 (+.f64 x x) eps) eps)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (+.f64 x x) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) eps (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (.f64 4 (.f64 x x))) eps) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (+.f64 x x) eps) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 eps eps) (.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) eps) (.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (.f64 x eps) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (cbrt.f64 eps)) (.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 eps (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (pow.f64 (.f64 eps eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps eps) 2) (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps (-.f64 eps (+.f64 x x)))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps)) 0) (/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps))) (-.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x eps) (.f64 (.f64 (+.f64 x eps) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 2 x eps) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) 2) (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)) (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps eps)) (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (.f64 eps (cbrt.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) 1) (cbrt.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (.f64 eps (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 1) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 eps (cbrt.f64 eps)) (.f64 (+.f64 x x) (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (.f64 eps (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 2 x eps) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (+.f64 x x) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) eps (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (*.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) eps) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps x (*.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x eps (*.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (pow.f64 (*.f64 eps eps) 2)) (*.f64 eps (-.f64 (+.f64 x x) eps))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (*.f64 eps eps) 2) (pow.f64 (*.f64 (+.f64 x x) eps) 2)) (*.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)) 0) (/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps))) (-.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (*.f64 eps eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 3) (pow.f64 (*.f64 eps eps) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (*.f64 eps eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (pow.f64 (*.f64 eps eps) 2) (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (*.f64 eps eps) 2) (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 3) (pow.f64 (*.f64 eps eps) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (*.f64 eps eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (*.f64 eps eps) 2) (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 3) (pow.f64 (*.f64 eps eps) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (*.f64 eps eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (*.f64 eps eps) 2) (-.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2) (*.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 (+.f64 x eps) eps) 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 (+.f64 x eps) eps) 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps)))) 0) (/.f64 (+.f64 (pow.f64 (*.f64 x eps) 3) (pow.f64 (*.f64 (+.f64 x eps) eps) 3)) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 (+.f64 x eps) eps) (*.f64 (+.f64 x eps) eps)) (*.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x eps) eps) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 (*.f64 (+.f64 x eps) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 2 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 x eps) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x eps)) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x eps)) (*.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x eps)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) 1) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (*.f64 eps (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 1) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (*.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (*.f64 (+.f64 x x) (cbrt.f64 eps)) (*.f64 eps (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 2 x eps) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3))))))

simplify336.0ms (3.8%)

Algorithm

1×

egglog

Counts

87 → 82

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (.f64 4 (.f64 x x))) eps) (.f64 eps eps))
(fma.f64 1 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 1 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) eps) (*.f64 (+.f64 x x) eps))
(fma.f64 eps x (*.f64 (+.f64 x eps) eps))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (*.f64 eps eps))
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps eps))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 x eps (*.f64 (+.f64 x eps) eps))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 eps (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 (+.f64 x x) eps))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (pow.f64 (.f64 eps eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps eps) 2) (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (-.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps)) 0) (/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps))) (-.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(+.f64 (.f64 x eps) (.f64 (*.f64 (+.f64 x eps) eps) 1))
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 (fma.f64 2 x eps) eps))
(.f64 (.f64 (fma.f64 2 x eps) eps) 1)
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 eps)) (cbrt.f64 eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) 1))
(.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) 1) (cbrt.f64 (.f64 eps eps)))
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (.f64 eps (cbrt.f64 eps))))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 1) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 eps (cbrt.f64 eps)) (.f64 (+.f64 x x) (cbrt.f64 eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (.f64 eps (cbrt.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)) 3)
(pow.f64 (*.f64 (fma.f64 2 x eps) eps) 1)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 (fma.f64 2 x eps) eps)
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (.f64 4 (.f64 x x))) eps) (.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 1 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 1 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) eps) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 eps x (*.f64 (+.f64 x eps) eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (*.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 x eps (*.f64 (+.f64 x eps) eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 2 x eps) eps)
(fma.f64 (.f64 eps (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 2 x eps) eps)
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (pow.f64 (.f64 eps eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps eps) 2) (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps eps) 2) (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (-.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps)) 0) (/.f64 (-.f64 (.f64 (.f64 x eps) (.f64 x eps)) (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps))) (-.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (neg.f64 (.f64 eps eps)) 0) (/.f64 (.f64 (.f64 (fma.f64 2 x eps) eps) (.f64 eps eps)) (.f64 eps eps)) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps))))) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps))))) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps))))) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps eps) 3) (pow.f64 (.f64 (+.f64 x x) eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (.f64 (pow.f64 eps 3) (+.f64 x x))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x x) eps) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 (+.f64 x x) eps) (.f64 eps (-.f64 (+.f64 x x) eps))))) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (+.f64 x eps) (pow.f64 eps 3)))) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (+.f64 x eps) (pow.f64 eps 3)))) (.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (.f64 (.f64 x eps) (.f64 x eps)) (-.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 (+.f64 x eps) eps)) (.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))))) (*.f64 (fma.f64 2 x eps) eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (+.f64 x eps) (pow.f64 eps 3))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 (+.f64 x eps) eps) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (+.f64 x eps) (pow.f64 eps 3)))) (*.f64 (fma.f64 2 x eps) eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(+.f64 (.f64 x eps) (.f64 (*.f64 (+.f64 x eps) eps) 1))
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 1 (.f64 (fma.f64 2 x eps) eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (fma.f64 2 x eps) eps) 1)
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 eps)) (cbrt.f64 eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps))) 2))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps))) 2) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2))))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) 1))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (.f64 (fma.f64 2 x eps) eps)) (cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 2)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 2 x eps) eps) 2)) (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) 1) (cbrt.f64 (.f64 eps eps)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (.f64 eps (cbrt.f64 eps))))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 1) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 eps (cbrt.f64 eps)) (.f64 (+.f64 x x) (cbrt.f64 eps))))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (.f64 eps (cbrt.f64 eps))))
(*.f64 (fma.f64 2 x eps) eps)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 2 x eps) eps)) 3)
(*.f64 (fma.f64 2 x eps) eps)
(pow.f64 (*.f64 (fma.f64 2 x eps) eps) 1)
(*.f64 (fma.f64 2 x eps) eps)
(pow.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3) 1/3)
(*.f64 (fma.f64 2 x eps) eps)
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 2 x eps) eps) 3))
(*.f64 (fma.f64 2 x eps) eps)

localize7.0ms (0.1%)

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

localize17.0ms (0.2%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (+.f64 x eps))
✓	0.0b	(*.f64 (-.f64 (+.f64 x eps) x) (+.f64 x (+.f64 x eps)))
✓	6.8b	(-.f64 (+.f64 x eps) x)

Compiler

Compiled 28 to 6 computations (78.6% saved)

series32.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

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

Compiler

Compiled 1655 to 910 computations (45% saved)

rewrite237.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

156×	`egg-rr`
83×	`egg-rr`
67×	`egg-rr`

Counts

3 → 306

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x eps) 1 (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (.f64 x x)) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (.f64 x x))) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 eps x)) (cbrt.f64 (pow.f64 (-.f64 eps x) 2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (.f64 eps eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 0 (neg.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 0 0 (neg.f64 (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x 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Outputs

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+.f64 (-.f64 (+.f64 x eps) 0) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (*.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (*.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (*.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (*.f64 (neg.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (*.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (cbrt.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x eps) (neg.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2) (cbrt.f64 (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (*.f64 x (+.f64 x eps))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (-.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x eps))))) (+.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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simplify726.0ms (8.2%)

Algorithm

1×

egglog

Counts

378 → 439

Calls

Call 1

Inputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 eps x))
(fma.f64 1 (+.f64 x eps) (neg.f64 x))
(fma.f64 1 x (-.f64 eps x))
(fma.f64 (+.f64 x eps) 1 (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))
(fma.f64 x 1 (-.f64 eps x))
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 1 (neg.f64 x) (+.f64 x eps))
(fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (+.f64 x eps))
(fma.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (*.f64 x x)) (+.f64 x eps))
(fma.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (*.f64 x x))) (+.f64 x eps))
(fma.f64 -1 x (+.f64 x eps))
(fma.f64 1 (-.f64 eps x) x)
(fma.f64 (cbrt.f64 (-.f64 eps x)) (cbrt.f64 (pow.f64 (-.f64 eps x) 2)) x)
(fma.f64 eps 1 0)
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) 0)
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) 0)
(fma.f64 1 eps 0)
(fma.f64 1 0 (neg.f64 (neg.f64 eps)))
(fma.f64 0 0 (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 2 x eps) (+.f64 x eps)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 2 x eps) (+.f64 x eps)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (fma.f64 x x (.f64 (fma.f64 2 x eps) (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 2 x eps) (+.f64 x eps)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps)))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) 0) (/.f64 (*.f64 (neg.f64 eps) (fma.f64 2 x eps)) (-.f64 (neg.f64 x) (+.f64 x eps))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 (-.f64 eps x) x) 0) (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x)) (-.f64 (-.f64 eps x) x)) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x (+.f64 x eps))))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x (+.f64 x eps)))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (.f64 x x) (.f64 x (-.f64 eps x)))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (.f64 x x) (.f64 x (-.f64 eps x))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 (.f64 eps eps) (-.f64 0 (.f64 eps 0))) 0) (/.f64 (+.f64 (pow.f64 eps 3) 0) (+.f64 (.f64 eps eps) (-.f64 0 (.f64 eps 0)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x (+.f64 x eps)))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (.f64 x x) (.f64 x (-.f64 eps x))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 eps 0) (/.f64 (+.f64 (pow.f64 eps 3) 0) (+.f64 (.f64 eps eps) (-.f64 0 (.f64 eps 0)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x (+.f64 x eps)))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (+.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 (.f64 x x) (.f64 x (-.f64 eps x))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 0 0) (/.f64 (+.f64 (pow.f64 eps 3) 0) (+.f64 (.f64 eps eps) (-.f64 0 (.f64 eps 0)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 0 0) (/.f64 (pow.f64 (neg.f64 (neg.f64 eps)) 3) (+.f64 0 (+.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 0 (neg.f64 eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 0 (+.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 0 (neg.f64 eps)))) 0) (/.f64 (pow.f64 (neg.f64 (neg.f64 eps)) 3) (+.f64 0 (+.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 0 (neg.f64 eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (fma.f64 2 x eps) 0) (/.f64 (*.f64 (neg.f64 (neg.f64 eps)) (fma.f64 2 x eps)) (fma.f64 2 x eps)) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 x (-.f64 eps x)) 0) (/.f64 (*.f64 (neg.f64 (neg.f64 eps)) (-.f64 x (-.f64 eps x))) (-.f64 x (-.f64 eps x))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 (neg.f64 eps)) 0) (/.f64 (-.f64 (*.f64 eps eps) 0) (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 eps) 0) (/.f64 (pow.f64 (neg.f64 (neg.f64 eps)) 3) (+.f64 0 (+.f64 (.f64 (neg.f64 eps) (neg.f64 eps)) (.f64 0 (neg.f64 eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 eps) 0) (/.f64 (-.f64 0 (*.f64 (neg.f64 eps) (neg.f64 eps))) (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(+.f64 x (-.f64 eps x))
(+.f64 (+.f64 x eps) (neg.f64 x))
(+.f64 (-.f64 eps x) x)
(+.f64 (neg.f64 x) (+.f64 x eps))
(+.f64 eps 0)
(+.f64 0 eps)
(+.f64 (-.f64 0 0) eps)
(+.f64 (neg.f64 x) (*.f64 -1 (neg.f64 (+.f64 x eps))))
(+.f64 (neg.f64 x) (*.f64 (neg.f64 (+.f64 x eps)) -1))
(+.f64 (neg.f64 x) (neg.f64 (neg.f64 (+.f64 x eps))))
(+.f64 0 (neg.f64 (neg.f64 eps)))
(-.f64 (+.f64 x eps) x)
(-.f64 0 (neg.f64 eps))
(-.f64 (+.f64 (+.f64 x eps) 0) x)
(-.f64 eps 0)
(-.f64 (neg.f64 x) (neg.f64 (+.f64 x eps)))
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(fma.f64 eps 1 (+.f64 x x))
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) (+.f64 x x))
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) (+.f64 x x))
(fma.f64 1 eps (+.f64 x x))
(fma.f64 (+.f64 x eps) 1 (neg.f64 (neg.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (+.f64 x eps)) (neg.f64 (neg.f64 x)))
(fma.f64 1 (+.f64 x eps) (neg.f64 (neg.f64 x)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (*.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (*.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x eps))
(if (!=.f64 (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x eps))
(if (!=.f64 eps 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x eps))
(if (!=.f64 (-.f64 x (-.f64 eps x)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps eps)) (-.f64 x (-.f64 eps x))) (fma.f64 2 x eps))
(if (!=.f64 (-.f64 eps (+.f64 x x)) 0) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 x x) 2)) (-.f64 eps (+.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (+.f64 (.f64 eps eps) (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (+.f64 x x) eps))) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 eps 3)) (+.f64 (.f64 eps eps) (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (+.f64 x x) eps)))) (fma.f64 2 x eps))
(if (!=.f64 eps 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 eps 3)) (+.f64 (.f64 eps eps) (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (+.f64 x x) eps)))) (fma.f64 2 x eps))
(if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (+.f64 x x) 3) (pow.f64 eps 3)) (+.f64 (.f64 eps eps) (-.f64 (pow.f64 (+.f64 x x) 2) (.f64 (+.f64 x x) eps)))) (fma.f64 2 x eps))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (*.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (*.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (neg.f64 eps) 0) (/.f64 (*.f64 (neg.f64 eps) (fma.f64 2 x eps)) (neg.f64 eps)) (fma.f64 2 x eps))
(if (!=.f64 (neg.f64 (neg.f64 eps)) 0) (/.f64 (*.f64 (neg.f64 eps) (fma.f64 2 x eps)) (neg.f64 eps)) (fma.f64 2 x eps))
(if (!=.f64 (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (.f64 x x))) (fma.f64 2 x eps))
(+.f64 x (+.f64 x eps))
(+.f64 (+.f64 x eps) x)
(+.f64 (+.f64 x x) eps)
(+.f64 eps (+.f64 x x))
(+.f64 eps (-.f64 x (neg.f64 x)))
(+.f64 x (-.f64 eps (neg.f64 x)))
(+.f64 (-.f64 (+.f64 x eps) 0) x)
(+.f64 (+.f64 x eps) (*.f64 -1 (neg.f64 x)))
(+.f64 (+.f64 x eps) (.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (.f64 x x)))))
(+.f64 (+.f64 x eps) (.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (.f64 x x))))
(+.f64 (+.f64 x eps) (*.f64 (neg.f64 -1) x))
(+.f64 (+.f64 x eps) (.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 x x))))
(+.f64 (+.f64 x eps) (neg.f64 (neg.f64 x)))
(-.f64 (+.f64 x eps) (neg.f64 x))
(*.f64 1 (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) 1)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2) (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (*.f64 x (+.f64 x eps))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x eps))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x eps))))) (+.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (cbrt.f64 (fma.f64 2 x eps)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))
(pow.f64 (fma.f64 2 x eps) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 3)
(pow.f64 (pow.f64 (fma.f64 2 x eps) 3) 1/3)
(neg.f64 (-.f64 (neg.f64 x) (+.f64 x eps)))
(cbrt.f64 (pow.f64 (fma.f64 2 x eps) 3))

Outputs
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(*.f64 2 x)
(+.f64 x x)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
(+.f64 eps (*.f64 2 x))
(fma.f64 2 x eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
eps
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(+.f64 (*.f64 2 x) eps)
(fma.f64 2 x eps)
(fma.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (neg.f64 x))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)) (-.f64 eps x))
(-.f64 (+.f64 x eps) x)
(fma.f64 1 (+.f64 x eps) (neg.f64 x))
(-.f64 (+.f64 x eps) x)
(fma.f64 1 x (-.f64 eps x))
(-.f64 (+.f64 x eps) x)
(fma.f64 (+.f64 x eps) 1 (neg.f64 x))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))
(fma.f64 x 1 (-.f64 eps x))
(-.f64 (+.f64 x eps) x)
(fma.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x) (-.f64 eps x))
(-.f64 (+.f64 x eps) x)
(fma.f64 1 (neg.f64 x) (+.f64 x eps))
(-.f64 (+.f64 x eps) x)
(fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) (+.f64 x eps))
(fma.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (*.f64 x x)) (+.f64 x eps))
(fma.f64 (cbrt.f64 x) (neg.f64 (cbrt.f64 (*.f64 x x))) (+.f64 x eps))
(fma.f64 -1 x (+.f64 x eps))
(-.f64 (+.f64 x eps) x)
(fma.f64 1 (-.f64 eps x) x)
(-.f64 (+.f64 x eps) x)
(fma.f64 (cbrt.f64 (-.f64 eps x)) (cbrt.f64 (pow.f64 (-.f64 eps x) 2)) x)
(fma.f64 eps 1 0)
eps
(fma.f64 (cbrt.f64 eps) (cbrt.f64 (*.f64 eps eps)) 0)
eps
(fma.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps) 0)
eps
(fma.f64 1 eps 0)
eps
(fma.f64 1 0 (neg.f64 (neg.f64 eps)))
eps
(fma.f64 0 0 (neg.f64 (neg.f64 eps)))
(fma.f64 0 0 eps)
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 2 x eps) (+.f64 x eps)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 2 x eps) (+.f64 x eps)))) eps)
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 2 x eps) (+.f64 x eps)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 x 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (fma.f64 2 x eps) (+.f64 x eps)))) eps)
(if (!=.f64 (fma.f64 x x (.f64 (fma.f64 2 x eps) (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 2 x eps) (+.f64 x eps)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (fma.f64 x x (.f64 (fma.f64 2 x eps) (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (fma.f64 x x (.f64 (fma.f64 2 x eps) (+.f64 x eps)))) eps)
(if (!=.f64 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))) eps)
(if (!=.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps)))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (neg.f64 x) (neg.f64 (fma.f64 2 x eps)))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (.f64 (neg.f64 x) (neg.f64 (fma.f64 2 x eps))))) eps)
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))) eps)
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (+.f64 x eps) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 2 x eps))))) eps)
(if (!=.f64 (-.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 (-.f64 eps x) x)))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3)) (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))) eps)
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) (+.f64 x eps))))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 2 x eps))))) eps)
(if (!=.f64 (-.f64 (neg.f64 x) (+.f64 x eps)) 0) (/.f64 (*.f64 (neg.f64 eps) (fma.f64 2 x eps)) (-.f64 (neg.f64 x) (+.f64 x eps))) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (neg.f64 (fma.f64 2 x eps)) 0) (/.f64 (*.f64 eps (fma.f64 2 x eps)) (fma.f64 2 x eps)) eps)
(if (!=.f64 (-.f64 (-.f64 eps x) x) 0) (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x)) (-.f64 (-.f64 eps x) x)) (neg.f64 (neg.f64 eps)))
(if (!=.f64 (-.f64 eps (+.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (-.f64 eps x) 2) (*.f64 x x)) (-.f64 eps (+.f64 x x))) eps)
(if (!=.f64 (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x (+.f64 x eps))))) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 x eps) 2) (neg.f64 (.f64 x (+.f64 x eps)))))) (neg.f64 (neg.f64 eps)))
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(if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 (+.f64 x eps) eps (*.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (neg.f64 eps) 0) (/.f64 (*.f64 (neg.f64 eps) (fma.f64 2 x eps)) (neg.f64 eps)) (fma.f64 2 x eps))
(if (!=.f64 (neg.f64 eps) 0) (/.f64 (*.f64 eps (fma.f64 2 x eps)) eps) (fma.f64 2 x eps))
(if (!=.f64 (neg.f64 (neg.f64 eps)) 0) (/.f64 (*.f64 (neg.f64 eps) (fma.f64 2 x eps)) (neg.f64 eps)) (fma.f64 2 x eps))
(if (!=.f64 eps 0) (/.f64 (*.f64 eps (fma.f64 2 x eps)) eps) (fma.f64 2 x eps))
(if (!=.f64 (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 (+.f64 x eps) (neg.f64 (neg.f64 eps)) (.f64 x x))) (fma.f64 2 x eps))
(if (!=.f64 (fma.f64 (+.f64 x eps) eps (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 (+.f64 x eps) eps (.f64 x x))) (fma.f64 2 x eps))
(+.f64 x (+.f64 x eps))
(fma.f64 2 x eps)
(+.f64 (+.f64 x eps) x)
(fma.f64 2 x eps)
(+.f64 (+.f64 x x) eps)
(fma.f64 2 x eps)
(+.f64 eps (+.f64 x x))
(fma.f64 2 x eps)
(+.f64 eps (-.f64 x (neg.f64 x)))
(fma.f64 2 x eps)
(+.f64 x (-.f64 eps (neg.f64 x)))
(fma.f64 2 x eps)
(+.f64 (-.f64 (+.f64 x eps) 0) x)
(fma.f64 2 x eps)
(+.f64 (+.f64 x eps) (*.f64 -1 (neg.f64 x)))
(fma.f64 2 x eps)
(+.f64 (+.f64 x eps) (.f64 (neg.f64 (cbrt.f64 x)) (neg.f64 (cbrt.f64 (.f64 x x)))))
(fma.f64 2 x eps)
(+.f64 (+.f64 x eps) (.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (cbrt.f64 (.f64 x x))))
(fma.f64 2 x eps)
(+.f64 (+.f64 x eps) (*.f64 (neg.f64 -1) x))
(fma.f64 2 x eps)
(+.f64 (+.f64 x eps) (.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (cbrt.f64 (.f64 x x))))
(+.f64 (+.f64 x eps) (neg.f64 (.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (.f64 x x)))))
(+.f64 (+.f64 x eps) (neg.f64 (neg.f64 x)))
(fma.f64 2 x eps)
(-.f64 (+.f64 x eps) (neg.f64 x))
(fma.f64 2 x eps)
(*.f64 1 (fma.f64 2 x eps))
(fma.f64 2 x eps)
(*.f64 (fma.f64 2 x eps) 1)
(fma.f64 2 x eps)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2))
(fma.f64 2 x eps)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2) (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (+.f64 (cbrt.f64 (.f64 x x)) (-.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (*.f64 x (+.f64 x eps))))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x eps))))
(.f64 (-.f64 (+.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (*.f64 (+.f64 x eps) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x eps))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (-.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (*.f64 x (+.f64 x eps))))) (+.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 x)))
(.f64 (-.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 (+.f64 x eps) x))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(fma.f64 2 x eps)
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(fma.f64 2 x eps)
(.f64 (.f64 (cbrt.f64 (fma.f64 2 x eps)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2)))
(pow.f64 (fma.f64 2 x eps) 1)
(fma.f64 2 x eps)
(pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 3)
(fma.f64 2 x eps)
(pow.f64 (pow.f64 (fma.f64 2 x eps) 3) 1/3)
(fma.f64 2 x eps)
(neg.f64 (-.f64 (neg.f64 x) (+.f64 x eps)))
(fma.f64 2 x eps)
(cbrt.f64 (pow.f64 (fma.f64 2 x eps) 3))
(fma.f64 2 x eps)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x eps) x)
✓	0.0b	(-.f64 (.f64 (+.f64 x eps) eps) (.f64 x x))
✓	0.0b	(*.f64 (+.f64 x eps) eps)
✓	3.8b	(+.f64 (.f64 (+.f64 x eps) x) (-.f64 (.f64 (+.f64 x eps) eps) (*.f64 x x)))

Compiler

Compiled 44 to 8 computations (81.8% saved)

series46.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

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

Compiler

Compiled 3925 to 2220 computations (43.4% saved)

rewrite277.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

103×	`egg-rr`
65×	`egg-rr`
43×	`egg-rr`
41×	`egg-rr`

Counts

4 → 252

Calls

Call 1

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

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

simplify687.0ms (7.8%)

Algorithm

1×

egglog

Counts

348 → 369

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(*.f64 -1 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x)))
(*.f64 -1 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 eps x) (.f64 -1 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 (/.f64 -1 x) -2))))
(*.f64 -1 (pow.f64 x 2))
(+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 1 eps) -2)))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 1 eps) -2)))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 -1 eps) -2)))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 -1 eps) -2)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(pow.f64 (/.f64 1 x) -2)
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 eps x))
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 eps x))
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 eps x))
(pow.f64 (/.f64 -1 x) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 x) -2))
(pow.f64 x 2)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(fma.f64 (+.f64 x eps) x (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x)))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) 2)) (*.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)) (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 x (+.f64 x eps) (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 1 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) (.f64 (+.f64 x eps) x))
(fma.f64 1 (.f64 (+.f64 x eps) x) (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))))
(fma.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (.f64 (+.f64 x eps) eps) 1 (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps (+.f64 x eps) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (+.f64 x eps) eps (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x eps)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 1 (.f64 (+.f64 x eps) eps) (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
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(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x eps) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 x eps) (.f64 x x))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x eps) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (.f64 x eps) 2) (.f64 (.f64 x x) (.f64 x eps))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x eps) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 x eps) (.f64 x x))))) (*.f64 (+.f64 x eps) x))
(+.f64 (.f64 x eps) (.f64 x x))
(+.f64 (.f64 x x) (.f64 x eps))
(*.f64 (+.f64 x eps) x)
(*.f64 x (+.f64 x eps))
(.f64 1 (.f64 (+.f64 x eps) x))
(.f64 (.f64 (+.f64 x eps) x) 1)
(.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) x))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x eps)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) x) (cbrt.f64 (+.f64 x eps)))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x eps)) (cbrt.f64 x))
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x eps))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) 2) (cbrt.f64 (*.f64 (+.f64 x eps) x))))
(.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)) (cbrt.f64 (*.f64 (+.f64 x eps) x)))
(.f64 (.f64 (+.f64 x eps) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(.f64 (.f64 x (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 x (cbrt.f64 (+.f64 x eps))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 x eps) (cbrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x eps) x))) 2) 2))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x eps) x)) 3)
(pow.f64 (*.f64 (+.f64 x eps) x) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 3))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 eps eps) (.f64 2 (*.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(*.f64 eps x)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 eps x))
(*.f64 (+.f64 x eps) eps)
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(*.f64 -1 (pow.f64 (/.f64 1 x) -2))
(neg.f64 (pow.f64 (/.f64 1 x) -2))
(+.f64 (.f64 -1 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x))
(+.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) (*.f64 eps x))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x)))
(+.f64 (.f64 eps eps) (+.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x)))
(+.f64 (.f64 eps eps) (+.f64 (neg.f64 (pow.f64 (/.f64 1 x) -2)) (.f64 eps x)))
(*.f64 -1 (pow.f64 (/.f64 -1 x) -2))
(neg.f64 (pow.f64 (/.f64 -1 x) -2))
(+.f64 (.f64 eps x) (.f64 -1 (pow.f64 (/.f64 -1 x) -2)))
(fma.f64 eps x (neg.f64 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (*.f64 (+.f64 x eps) eps) (neg.f64 (pow.f64 (/.f64 -1 x) -2)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 (/.f64 -1 x) -2))))
(+.f64 (*.f64 (+.f64 x eps) eps) (neg.f64 (pow.f64 (/.f64 -1 x) -2)))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2)))
(*.f64 x (-.f64 eps x))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 eps x) (.f64 -1 (pow.f64 x 2))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 1 eps) -2)))
(+.f64 (*.f64 x (-.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 1 eps) -2)))
(+.f64 (*.f64 x (-.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 -1 eps) -2)))
(+.f64 (*.f64 x (-.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 eps x) (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 (/.f64 -1 eps) -2)))
(+.f64 (*.f64 x (-.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(pow.f64 (/.f64 1 x) -2)
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 eps x))
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 eps x))
(+.f64 (pow.f64 (/.f64 1 x) -2) (*.f64 eps x))
(pow.f64 (/.f64 -1 x) -2)
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 x) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 x) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 x) -2))
(+.f64 (*.f64 eps x) (pow.f64 (/.f64 -1 x) -2))
(fma.f64 eps x (pow.f64 (/.f64 -1 x) -2))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(*.f64 eps x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(+.f64 (*.f64 eps x) (pow.f64 x 2))
(*.f64 (+.f64 x eps) x)
(fma.f64 (+.f64 x eps) x (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x)))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) 2)) (*.f64 (+.f64 x eps) x))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)) (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 x (+.f64 x eps) (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 1 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) (.f64 (+.f64 x eps) x))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 1 (.f64 (+.f64 x eps) x) (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (.f64 (+.f64 x eps) eps) 1 (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 eps (+.f64 x eps) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 x (-.f64 (+.f64 x eps) x)))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (+.f64 x eps) eps (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x eps)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 1 (.f64 (+.f64 x eps) eps) (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 x (-.f64 (+.f64 x eps) x)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (cbrt.f64 (.f64 (+.f64 x eps) eps)) (*.f64 x (+.f64 (neg.f64 x) (+.f64 x eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 -1 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps))) (.f64 (+.f64 x eps) x))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) 2)) (cbrt.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x)))) (*.f64 (+.f64 x eps) x))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) 1 (.f64 (+.f64 x eps) x))
(fma.f64 eps eps (*.f64 x (-.f64 eps (-.f64 x (+.f64 x eps)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (cbrt.f64 (pow.f64 (pow.f64 (+.f64 x eps) 2) 2)) (neg.f64 (*.f64 x x)))
(fma.f64 (+.f64 x eps) (+.f64 x eps) (neg.f64 (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(fma.f64 1 (pow.f64 (+.f64 x eps) 2) (neg.f64 (*.f64 x x)))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(fma.f64 (.f64 (+.f64 x eps) x) 1 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))))
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(if (!=.f64 (fma.f64 (+.f64 x eps) eps (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2) (pow.f64 (.f64 x x) 2)) (fma.f64 (+.f64 x eps) eps (.f64 x x))) (fma.f64 eps eps (*.f64 x (-.f64 eps x))))
(+.f64 (.f64 (+.f64 x eps) eps) (neg.f64 (.f64 x x)))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (neg.f64 (.f64 x x)) (.f64 (+.f64 x eps) eps))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 x eps)) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 eps eps)) (*.f64 x eps))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) (-.f64 eps x)))
(fma.f64 x eps (*.f64 (+.f64 x eps) (-.f64 eps x)))
(+.f64 (.f64 eps eps) (+.f64 (.f64 x eps) (neg.f64 (*.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (.f64 eps eps) (-.f64 (.f64 x eps) (*.f64 x x)))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (neg.f64 (.f64 x x)) (.f64 -1 (neg.f64 (*.f64 (+.f64 x eps) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 (*.f64 (+.f64 x eps) eps)) -1))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 (neg.f64 (.f64 x x)) (neg.f64 (neg.f64 (.f64 (+.f64 x eps) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(+.f64 0 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(-.f64 (.f64 (+.f64 x eps) eps) (.f64 x x))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(-.f64 0 (fma.f64 x x (neg.f64 (*.f64 (+.f64 x eps) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(-.f64 (+.f64 (.f64 (+.f64 x eps) eps) 0) (.f64 x x))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(-.f64 (neg.f64 (.f64 x x)) (neg.f64 (.f64 (+.f64 x eps) eps)))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 (cbrt.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x)))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))) 2)))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) 2)) (cbrt.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x)))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 1 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (.f64 x x))) 1)
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 -1 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps))) -1)
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(.f64 (neg.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps))))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))) 2)))
(neg.f64 (.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps)))) (cbrt.f64 (pow.f64 (fma.f64 eps eps (*.f64 x (-.f64 eps x))) 2))))
(.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps)))) (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))) 2))))
(neg.f64 (.f64 (cbrt.f64 (fma.f64 x x (neg.f64 (.f64 (+.f64 x eps) eps)))) (cbrt.f64 (pow.f64 (fma.f64 eps eps (*.f64 x (-.f64 eps x))) 2))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (+.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 (.f64 (.f64 (+.f64 x eps) eps) x) x)))) (-.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (.f64 x x))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (fma.f64 x (cbrt.f64 x) (cbrt.f64 (.f64 (.f64 (+.f64 x eps) (.f64 eps x)) x)))) (-.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (*.f64 x x))))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x)))) 3)
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))) 1)
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(pow.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))) 3) 1/3)
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(neg.f64 (fma.f64 x x (neg.f64 (*.f64 (+.f64 x eps) eps))))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(neg.f64 (-.f64 (fma.f64 x x (neg.f64 (*.f64 (+.f64 x eps) eps))) 0))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 x eps) eps (neg.f64 (*.f64 x x))) 3))
(fma.f64 eps eps (*.f64 x (-.f64 eps x)))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) eps) (*.f64 x x))
(fma.f64 eps x (*.f64 x x))
(*.f64 (+.f64 x eps) x)
(fma.f64 1 (.f64 x eps) (.f64 x x))
(*.f64 (+.f64 x eps) x)
(fma.f64 x eps (*.f64 x x))
(*.f64 (+.f64 x eps) x)
(fma.f64 (.f64 x (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 x x))
(fma.f64 (.f64 x x) 1 (.f64 x eps))
(fma.f64 (.f64 x x) 1 (.f64 eps x))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) x) (*.f64 x eps))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) x) (*.f64 eps x))
(fma.f64 x x (*.f64 x eps))
(*.f64 (+.f64 x eps) x)
(fma.f64 1 (.f64 x x) (.f64 x eps))
(*.f64 (+.f64 x eps) x)
(fma.f64 (cbrt.f64 (.f64 x eps)) (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (*.f64 x x))
(fma.f64 (cbrt.f64 (.f64 eps x)) (cbrt.f64 (pow.f64 (.f64 eps x) 2)) (*.f64 x x))
(fma.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 x eps))
(fma.f64 (.f64 x (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 eps x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)) (*.f64 x eps))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 x (cbrt.f64 x)) (*.f64 eps x))
(if (!=.f64 (.f64 x (-.f64 x eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (.f64 x eps) 2)) (.f64 x (-.f64 x eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x (-.f64 x eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (.f64 eps x) 2)) (.f64 x (-.f64 x eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (-.f64 (.f64 x eps) (.f64 x x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x eps) 2) (pow.f64 (.f64 x x) 2)) (-.f64 (.f64 x eps) (.f64 x x))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x (-.f64 eps x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps x) 2) (pow.f64 (.f64 x x) 2)) (.f64 x (-.f64 eps x))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (.f64 x eps) 2) (.f64 (.f64 x x) (.f64 x eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x eps) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (.f64 x eps) 2) (.f64 (.f64 x x) (.f64 x eps))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 3) eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 3) eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (+.f64 (pow.f64 (.f64 x eps) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 x eps) (.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x eps) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 x eps) (.f64 x x))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (-.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (pow.f64 (.f64 x x) 2)) (.f64 (pow.f64 x 3) eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (pow.f64 (.f64 x x) 2)) (.f64 (pow.f64 x 3) eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x eps) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (.f64 x eps) 2) (.f64 (.f64 x x) (.f64 x eps))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 3) eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x eps) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 x eps) (.f64 x x))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (pow.f64 (.f64 x x) 2)) (.f64 (pow.f64 x 3) eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x eps) 3)) (+.f64 (pow.f64 (.f64 x x) 2) (-.f64 (pow.f64 (.f64 x eps) 2) (.f64 (.f64 x x) (.f64 x eps))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 x x) 2) (pow.f64 (.f64 eps x) 2)) (.f64 (pow.f64 x 3) eps))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (.f64 x eps) 3) (pow.f64 (.f64 x x) 3)) (+.f64 (pow.f64 (.f64 x eps) 2) (-.f64 (pow.f64 (.f64 x x) 2) (.f64 (.f64 x eps) (.f64 x x))))) (*.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 x x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 x x) 3)) (-.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (pow.f64 (.f64 x x) 2)) (.f64 (pow.f64 x 3) eps))) (*.f64 (+.f64 x eps) x))
(+.f64 (.f64 x eps) (.f64 x x))
(*.f64 (+.f64 x eps) x)
(+.f64 (.f64 x x) (.f64 x eps))
(*.f64 (+.f64 x eps) x)
(*.f64 (+.f64 x eps) x)
(*.f64 x (+.f64 x eps))
(*.f64 (+.f64 x eps) x)
(.f64 1 (.f64 (+.f64 x eps) x))
(*.f64 (+.f64 x eps) x)
(.f64 (.f64 (+.f64 x eps) x) 1)
(*.f64 (+.f64 x eps) x)
(.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) x))
(.f64 (.f64 x (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x eps)))
(*.f64 (+.f64 x eps) x)
(.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) x) (cbrt.f64 (+.f64 x eps)))
(.f64 (.f64 x (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(.f64 (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x eps)) (cbrt.f64 x))
(*.f64 (+.f64 x eps) x)
(.f64 (cbrt.f64 (cbrt.f64 x)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x eps))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) 2) (cbrt.f64 (*.f64 (+.f64 x eps) x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) 2)) (cbrt.f64 (*.f64 (+.f64 x eps) x)))
(.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 2)))
(*.f64 (+.f64 x eps) x)
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) x) 2)) (cbrt.f64 (*.f64 (+.f64 x eps) x)))
(*.f64 (+.f64 x eps) x)
(.f64 (.f64 (+.f64 x eps) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (+.f64 x eps) x)
(.f64 (.f64 x (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 x (cbrt.f64 (+.f64 x eps))))
(.f64 (.f64 x (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 x eps) (cbrt.f64 x)))
(*.f64 (+.f64 x eps) x)
(.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x eps) x))) 2) 2))
(.f64 (cbrt.f64 (.f64 (+.f64 x eps) x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 x eps) x))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 x eps) x))) 2) 2)))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x eps) x)) 3)
(*.f64 (+.f64 x eps) x)
(pow.f64 (*.f64 (+.f64 x eps) x) 1)
(*.f64 (+.f64 x eps) x)
(pow.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 3) 1/3)
(*.f64 (+.f64 x eps) x)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x eps) x) 3))
(*.f64 (+.f64 x eps) x)

eval335.0ms (3.8%)

Compiler: Compiled 24280 to 8056 computations (66.8% saved)

prune327.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	887	3	890
Fresh	1	1	2
Picked	1	0	1
Done	2	2	4
Total	891	6	897

Error

Counts

897 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
▶	0.0b	(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
✓	25.8b	(*.f64 (+.f64 x x) eps)
▶	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	16.9b	(*.f64 eps eps)
	41.2b	0

Compiler

Compiled 46 to 27 computations (41.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series32.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1025 to 610 computations (40.5% saved)

rewrite104.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

68× egg-rr

Counts

1 → 68

Calls

Call 1

Inputs
(*.f64 eps (+.f64 x (+.f64 x eps)))

Outputs

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

simplify488.0ms (5.5%)

Algorithm

1×

egglog

Counts

92 → 88

Calls

Call 1

Inputs
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(fma.f64 eps x (*.f64 eps (+.f64 x eps)))
(fma.f64 x eps (*.f64 eps (+.f64 x eps)))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x eps)) (*.f64 eps x))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 eps x))
(fma.f64 (+.f64 x eps) eps (*.f64 eps x))
(fma.f64 1 (.f64 eps (+.f64 x eps)) (.f64 eps x))
(fma.f64 eps (+.f64 x eps) (*.f64 eps x))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) x) (*.f64 eps (+.f64 x eps)))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 1 (.f64 eps x) (.f64 eps (+.f64 x eps)))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 (.f64 eps x) 1 (.f64 eps (+.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps (+.f64 x eps))) (cbrt.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2)) (*.f64 eps x))
(fma.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps x))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 eps x))
(fma.f64 (.f64 eps (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (.f64 x (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (cbrt.f64 (.f64 eps x)) (cbrt.f64 (pow.f64 (.f64 eps x) 2)) (*.f64 eps (+.f64 x eps)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (pow.f64 (.f64 eps x) 2)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (neg.f64 (.f64 eps eps)) 0) (/.f64 (.f64 (.f64 eps (fma.f64 2 x eps)) (neg.f64 (.f64 eps eps))) (neg.f64 (.f64 eps eps))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)) 0) (/.f64 (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (pow.f64 (.f64 eps eps) 2)) (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))) (*.f64 eps (fma.f64 2 x eps)))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))
(+.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 eps)) (cbrt.f64 eps))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 1) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (cbrt.f64 eps)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 2 x eps))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2) 2))
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) 1) (cbrt.f64 (.f64 eps eps)))
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (.f64 eps (cbrt.f64 eps))))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (.f64 x (cbrt.f64 eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 x (cbrt.f64 eps)) (.f64 (+.f64 x eps) (cbrt.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

Outputs
(.f64 2 (.f64 eps x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (*.f64 2 eps) x (pow.f64 (/.f64 -1 eps) -2))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 x (+.f64 eps eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps x (*.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 x eps (*.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x eps)) (*.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 eps x))
(fma.f64 (+.f64 x eps) eps (*.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (.f64 eps (+.f64 x eps)) (.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (+.f64 x eps) (*.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) x) (*.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) eps) (*.f64 eps (+.f64 x eps)))
(fma.f64 1 (.f64 eps x) (.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 eps x) 1 (.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (.f64 eps (+.f64 x eps))) (cbrt.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2)) (*.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 eps x))
(fma.f64 (.f64 eps (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 eps (+.f64 x eps)))
(fma.f64 (.f64 x (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (.f64 eps x)) (cbrt.f64 (pow.f64 (.f64 eps x) 2)) (*.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (pow.f64 (.f64 eps x) 2)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 eps 0)) 0) (/.f64 (.f64 (.f64 eps (fma.f64 2 x eps)) (.f64 eps (+.f64 eps 0))) (.f64 eps (+.f64 eps 0))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 x (+.f64 eps eps)) (.f64 eps (-.f64 (+.f64 x x) eps)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 eps eps)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 x (+.f64 eps eps)) (.f64 eps (-.f64 (+.f64 x x) eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x x)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 x (+.f64 eps eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 eps eps)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 x (+.f64 eps eps)) (.f64 eps (-.f64 (+.f64 x x) eps))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps (+.f64 x x)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (-.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 eps eps)) 3) (pow.f64 (.f64 eps eps) 3)) (+.f64 (pow.f64 (.f64 eps eps) 2) (.f64 (.f64 x (+.f64 eps eps)) (.f64 eps (-.f64 (+.f64 x x) eps))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps (+.f64 x eps)) (-.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (+.f64 x eps)) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (+.f64 (pow.f64 (.f64 eps (+.f64 x eps)) 2) (-.f64 (pow.f64 (.f64 eps x) 2) (.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 eps x) 3) (pow.f64 (.f64 eps (+.f64 x eps)) 3)) (fma.f64 eps (.f64 (.f64 eps (+.f64 eps 0)) (+.f64 x eps)) (pow.f64 (.f64 eps x) 2))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (neg.f64 (.f64 eps eps)) 0) (/.f64 (.f64 (.f64 eps (fma.f64 2 x eps)) (neg.f64 (.f64 eps eps))) (neg.f64 (.f64 eps eps))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (neg.f64 (.f64 eps eps)) 0) (/.f64 (.f64 (.f64 eps (fma.f64 2 x eps)) (.f64 eps eps)) (.f64 eps eps)) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps)) 0) (/.f64 (-.f64 (.f64 (.f64 eps (+.f64 x x)) (.f64 eps (+.f64 x x))) (pow.f64 (.f64 eps eps) 2)) (-.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 eps eps) 2) (pow.f64 (.f64 x (+.f64 eps eps)) 2)) (.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 eps (fma.f64 2 x eps)))
(+.f64 (.f64 eps x) (.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 x eps)) (.f64 eps x))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps (+.f64 x x)) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) (.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 eps)) (cbrt.f64 eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 1) (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps))) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (cbrt.f64 eps)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) (*.f64 (cbrt.f64 (pow.f64 (fma.f64 2 x eps) 2)) eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2) 2))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) 1) (cbrt.f64 (.f64 eps eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (.f64 eps (cbrt.f64 eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (*.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 2 x eps))) 2) 2))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (.f64 x (cbrt.f64 eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 x (cbrt.f64 eps)) (.f64 (+.f64 x eps) (cbrt.f64 eps))))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series18.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1025 to 610 computations (40.5% saved)

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

51× egg-rr

Counts

1 → 51

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))

Outputs

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

simplify370.0ms (4.2%)

Algorithm

1×

egglog

Counts

75 → 67

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(fma.f64 eps x (*.f64 (+.f64 x eps) eps))
(fma.f64 x eps (*.f64 (+.f64 x eps) eps))
(fma.f64 1 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(fma.f64 1 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(fma.f64 (.f64 x eps) 1 (.f64 (+.f64 x eps) eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) x) (*.f64 (+.f64 x eps) eps))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) eps) (*.f64 (+.f64 x eps) eps))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 x eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x eps)) (*.f64 x eps))
(fma.f64 (.f64 (+.f64 x eps) eps) 1 (.f64 x eps))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 x eps))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (*.f64 x eps))
(fma.f64 (cbrt.f64 (.f64 x eps)) (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (*.f64 (+.f64 x eps) eps))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (cbrt.f64 (.f64 x eps)) (*.f64 (+.f64 x eps) eps))
(fma.f64 (.f64 eps (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 x eps) eps))
(fma.f64 (.f64 x (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 (+.f64 x eps) eps))
(fma.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 x eps))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (cbrt.f64 (.f64 (+.f64 x eps) eps)) (*.f64 x eps))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x eps) x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x eps) 2) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (.f64 eps (-.f64 x (+.f64 x eps)))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 eps (-.f64 x (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (.f64 x eps) 2) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (.f64 eps (-.f64 x (+.f64 x eps)))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 x eps) 3)) (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 x eps) 3)) (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 x eps) 3)) (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(+.f64 (+.f64 (.f64 x eps) (.f64 x eps)) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (+.f64 (.f64 x eps) (*.f64 x eps)))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(*.f64 (+.f64 (+.f64 x eps) x) eps)
(.f64 1 (.f64 eps (+.f64 (+.f64 x eps) x)))
(.f64 (.f64 eps (+.f64 (+.f64 x eps) x)) 1)
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (+.f64 x eps) x)))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (+.f64 x eps) x)) (cbrt.f64 eps))
(.f64 (cbrt.f64 (cbrt.f64 eps)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (+.f64 x eps) x))))
(.f64 (cbrt.f64 (+.f64 (+.f64 x eps) x)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x eps) x)) 2) eps))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x eps) x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x eps) x)))) 2) 2) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)))))
(.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x eps) x))) (cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 2)))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (cbrt.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))))) (+.f64 (cbrt.f64 (.f64 x eps)) (cbrt.f64 (.f64 (+.f64 x eps) eps))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (-.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (cbrt.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))))) (+.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (.f64 x eps))))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (+.f64 (+.f64 x eps) x)) 2)) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x eps) x))))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (+.f64 (+.f64 x eps) x)))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (.f64 x (cbrt.f64 eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 x (cbrt.f64 eps)) (.f64 (+.f64 x eps) (cbrt.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x eps) x))) 3)
(pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 1)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 3))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 2 (*.f64 eps x) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 x eps) eps (*.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 eps (+.f64 x eps) (*.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 eps x (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 x eps (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 1 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 1 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (.f64 x eps) 1 (.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) x) (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 x x)) eps) (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 (+.f64 x eps)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) eps) (.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x eps)) (*.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (.f64 (+.f64 x eps) eps) 1 (.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 x eps))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (+.f64 x eps) 2)) (.f64 eps x))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (*.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 (.f64 x eps)) (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (cbrt.f64 (.f64 x eps)) (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (.f64 eps (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (.f64 x (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (cbrt.f64 (.f64 (+.f64 x eps) eps)) (*.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x eps) x)) 0) (/.f64 (-.f64 (pow.f64 (.f64 x eps) 2) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (.f64 eps (-.f64 x (+.f64 x eps)))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (.f64 (.f64 eps (+.f64 (+.f64 x eps) x)) (.f64 eps eps)) (.f64 eps eps)) (.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 eps (-.f64 x (+.f64 x eps))) 0) (/.f64 (-.f64 (pow.f64 (.f64 x eps) 2) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (.f64 eps (-.f64 x (+.f64 x eps)))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (neg.f64 (.f64 eps eps)) 0) (/.f64 (.f64 (.f64 eps (+.f64 (+.f64 x eps) x)) (.f64 eps eps)) (.f64 eps eps)) (.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 x eps) 3)) (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (fma.f64 (.f64 eps x) (neg.f64 (.f64 eps eps)) (pow.f64 (.f64 (+.f64 x eps) eps) 2)) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 (.f64 eps x) (neg.f64 (.f64 eps eps)) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 x eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 x eps) 3)) (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 eps x) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 (.f64 eps x) (neg.f64 (.f64 eps eps)) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 x eps) 3)) (fma.f64 (.f64 x eps) (.f64 eps (-.f64 x (+.f64 x eps))) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(if (!=.f64 (.f64 (+.f64 x eps) eps) 0) (/.f64 (+.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 3) (pow.f64 (.f64 eps x) 3)) (fma.f64 (.f64 eps x) (neg.f64 (.f64 eps eps)) (pow.f64 (.f64 (+.f64 x eps) eps) 2))) (*.f64 eps (+.f64 (+.f64 x eps) x)))
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (+.f64 (.f64 x eps) (.f64 x eps)) (*.f64 eps eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (.f64 eps eps) (+.f64 (.f64 x eps) (*.f64 x eps)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (.f64 eps eps) (.f64 eps (+.f64 x x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(*.f64 (+.f64 (+.f64 x eps) x) eps)
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 1 (.f64 eps (+.f64 (+.f64 x eps) x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (.f64 eps (+.f64 (+.f64 x eps) x)) 1)
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (+.f64 x eps) x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (+.f64 x eps) x)) (cbrt.f64 eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (cbrt.f64 eps)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (+.f64 x eps) x))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (+.f64 (+.f64 x eps) x)) (.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 x eps) x)) 2) eps))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x eps) x)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x eps) x)))) 2) 2) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (.f64 eps (+.f64 (+.f64 x eps) x))) (cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 2)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (cbrt.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))))) (+.f64 (cbrt.f64 (.f64 x eps)) (cbrt.f64 (.f64 (+.f64 x eps) eps))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x eps) eps) 2)) (-.f64 (cbrt.f64 (pow.f64 (.f64 x eps) 2)) (cbrt.f64 (.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))))) (+.f64 (cbrt.f64 (.f64 (+.f64 x eps) eps)) (cbrt.f64 (.f64 x eps))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (+.f64 (+.f64 x eps) x)) 2)) (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x eps) x))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (+.f64 (+.f64 x eps) x)))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x eps) (cbrt.f64 eps)) (.f64 x (cbrt.f64 eps))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 x (cbrt.f64 eps)) (.f64 (+.f64 x eps) (cbrt.f64 eps))))
(*.f64 eps (+.f64 (+.f64 x eps) x))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (+.f64 x eps) x))) 3)
(*.f64 eps (+.f64 (+.f64 x eps) x))
(pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 1)
(*.f64 eps (+.f64 (+.f64 x eps) x))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 3) 1/3)
(*.f64 eps (+.f64 (+.f64 x eps) x))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (+.f64 x eps) x)) 3))
(*.f64 eps (+.f64 (+.f64 x eps) x))

localize14.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series17.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1025 to 610 computations (40.5% saved)

rewrite147.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

49× egg-rr

Counts

1 → 49

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x x) eps (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (+.f64 x x) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) eps) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps eps) 1 (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2)) (cbrt.f64 (*.f64 (+.f64 x x) eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (*.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) eps) 1 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 x x)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps eps) x (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps (cbrt.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (fma.f64 eps (pow.f64 eps 3) (neg.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2))) (*.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (fma.f64 eps (pow.f64 eps 3) (neg.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2))) (*.f64 eps (-.f64 eps (+.f64 x x)))) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps (-.f64 eps (+.f64 x x))))) 0) (/.f64 (*.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps (-.f64 eps (+.f64 x x)))))) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 eps eps) 0) (/.f64 (*.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps (-.f64 eps (+.f64 x x)))))) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 x x) eps) 0) (/.f64 (*.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (*.f64 eps (-.f64 eps (+.f64 x x)))))) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 x x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 eps eps) (*.f64 x eps)) (*.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (+.f64 (*.f64 x eps) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 eps (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x eps) (*.f64 (+.f64 x eps) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 eps (cbrt.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2)) (*.f64 eps (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 (*.f64 (+.f64 x x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 x x) eps) 2)) (-.f64 (*.f64 eps (cbrt.f64 eps)) (*.f64 eps (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 (*.f64 (+.f64 x x) eps)) (cbrt.f64 (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (*.f64 (+.f64 x x) (cbrt.f64 eps)) (*.f64 eps (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps eps)) (+.f64 (*.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))))

simplify358.0ms (4.1%)

Algorithm

1×

egglog

Counts

73 → 65

Calls

Call 1

Inputs
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(.f64 2 (.f64 eps x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (*.f64 eps eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(fma.f64 1 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(fma.f64 1 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) eps) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 eps eps) 1 (.f64 (+.f64 x x) eps))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (cbrt.f64 (.f64 (+.f64 x x) eps)) (*.f64 eps eps))
(fma.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) eps) (.f64 eps eps))
(fma.f64 (.f64 (+.f64 x x) eps) 1 (.f64 eps eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x x)) (*.f64 eps eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 (.f64 eps (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 (+.f64 x x) eps))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (.f64 eps eps))
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps eps))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (fma.f64 eps (pow.f64 eps 3) (neg.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2))) (.f64 eps (-.f64 eps (+.f64 x x)))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (fma.f64 eps (pow.f64 eps 3) (neg.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2))) (.f64 eps (-.f64 eps (+.f64 x x)))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x))))) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(+.f64 (+.f64 (.f64 eps eps) (.f64 x eps)) (*.f64 x eps))
(+.f64 (.f64 x eps) (+.f64 (.f64 x eps) (*.f64 eps eps)))
(+.f64 (.f64 x eps) (.f64 eps (+.f64 x eps)))
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(.f64 (+.f64 (.f64 eps (cbrt.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 (.f64 (+.f64 x x) eps))))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (-.f64 (.f64 eps (cbrt.f64 eps)) (.f64 eps (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (.f64 eps eps))))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (.f64 eps (cbrt.f64 eps))))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 eps (cbrt.f64 eps)) (.f64 (+.f64 x x) (cbrt.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 2 (.f64 eps x))
(*.f64 (+.f64 x x) eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (/.f64 1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (+.f64 eps eps) x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (+.f64 eps eps) x (pow.f64 (/.f64 1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 1 eps) -2))
(fma.f64 (+.f64 eps eps) x (pow.f64 (/.f64 1 eps) -2))
(pow.f64 (/.f64 -1 eps) -2)
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 eps eps) x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 eps eps) x (pow.f64 (/.f64 -1 eps) -2))
(+.f64 (.f64 2 (.f64 eps x)) (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 eps eps) x (pow.f64 (/.f64 -1 eps) -2))
(fma.f64 (+.f64 x x) eps (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps (+.f64 x x) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 eps eps (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 1 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) eps) (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 eps eps) 1 (.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (cbrt.f64 (.f64 (+.f64 x x) eps)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (+.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (+.f64 x x) 2)) eps) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 (+.f64 x x) eps) 1 (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 x x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (+.f64 eps eps) x (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 eps (cbrt.f64 eps)) (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 eps (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 2 (.f64 x eps) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 eps (cbrt.f64 (+.f64 x x))) (cbrt.f64 (pow.f64 (+.f64 x x) 2)) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (cbrt.f64 (.f64 eps eps)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (fma.f64 eps (pow.f64 eps 3) (neg.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2))) (.f64 eps (-.f64 eps (+.f64 x x)))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (-.f64 (+.f64 x x) eps)) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (pow.f64 (.f64 eps eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (fma.f64 eps (pow.f64 eps 3) (neg.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2))) (.f64 eps (-.f64 eps (+.f64 x x)))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (-.f64 eps (+.f64 x x))) 0) (/.f64 (-.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2) (pow.f64 (.f64 eps eps) 2)) (.f64 eps (-.f64 (+.f64 x x) eps))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x))))) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps (.f64 eps (fma.f64 (-.f64 eps (+.f64 x x)) eps (.f64 4 (.f64 x x))))) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 eps (.f64 eps (fma.f64 (-.f64 eps (+.f64 x x)) eps (.f64 4 (.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 eps eps) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 eps (.f64 eps (fma.f64 (-.f64 eps (+.f64 x x)) eps (.f64 4 (.f64 x x)))))) (*.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 (.f64 eps eps) (+.f64 (pow.f64 (+.f64 x x) 2) (.f64 eps (-.f64 eps (+.f64 x x)))))) (.f64 eps (fma.f64 2 x eps)))
(if (!=.f64 (.f64 (+.f64 x x) eps) 0) (/.f64 (.f64 (pow.f64 eps 3) (fma.f64 8 (pow.f64 x 3) (pow.f64 eps 3))) (.f64 eps (.f64 eps (fma.f64 (-.f64 eps (+.f64 x x)) eps (.f64 4 (.f64 x x)))))) (*.f64 eps (fma.f64 2 x eps)))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 eps eps) (.f64 (+.f64 x x) eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (+.f64 (.f64 eps eps) (.f64 x eps)) (*.f64 x eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 x eps) (+.f64 (.f64 x eps) (*.f64 eps eps)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 x eps) (.f64 eps (+.f64 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 x eps) (.f64 (+.f64 x eps) eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (*.f64 eps eps)) (fma.f64 2 x eps)) (cbrt.f64 eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (+.f64 (.f64 eps (cbrt.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (.f64 eps (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 (.f64 eps eps)) (cbrt.f64 (.f64 (+.f64 x x) eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 x x) eps) 2)) (-.f64 (.f64 eps (cbrt.f64 eps)) (.f64 eps (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 (.f64 (+.f64 x x) eps)) (cbrt.f64 (.f64 eps eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 (+.f64 x x) (cbrt.f64 eps)) (.f64 eps (cbrt.f64 eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 eps (cbrt.f64 eps)) (.f64 (+.f64 x x) (cbrt.f64 eps))))
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1/3)
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))

eval104.0ms (1.2%)

Compiler: Compiled 7119 to 2597 computations (63.5% saved)

prune56.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	368	6	374

Error

Counts

374 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
✓	0.0b	(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
✓	25.8b	(*.f64 (+.f64 x x) eps)
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	16.9b	(*.f64 eps eps)
	41.2b	0

Compiler

Compiled 46 to 27 computations (41.3% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
✓	0.0b	(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
✓	25.8b	(*.f64 (+.f64 x x) eps)
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	16.9b	(*.f64 eps eps)
	41.2b	0

Compiler

Compiled 46 to 27 computations (41.3% saved)

regimes26.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
0
(*.f64 eps eps)
(*.f64 (+.f64 x x) eps)
(*.f64 eps (+.f64 x (+.f64 x eps)))
(*.f64 (+.f64 (+.f64 x x) eps) eps)
(+.f64 (.f64 (+.f64 x eps) eps) (.f64 x eps))
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))
(*.f64 (-.f64 (+.f64 x eps) x) (+.f64 x (+.f64 x eps)))
(+.f64 (.f64 (+.f64 x eps) x) (-.f64 (.f64 (+.f64 x eps) eps) (*.f64 x x)))
(fma.f64 2 (.f64 eps x) (.f64 eps eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(fma.f64 (neg.f64 x) x (pow.f64 (+.f64 x eps) 2))

Outputs
(+.f64 (.f64 (+.f64 x x) eps) (.f64 eps eps))

Calls

3 calls:

7.0ms	x
7.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`eps`
0.0b	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 112 to 45 computations (59.8% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(*.f64 eps (+.f64 x (+.f64 x eps)))

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`eps`

Compiler

Compiled 40 to 18 computations (55% saved)

regimes26.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

Outputs
(*.f64 (+.f64 x x) eps)
(*.f64 eps eps)
(*.f64 (+.f64 x x) eps)

Calls

2 calls:

13.0ms	eps
12.0ms	x

Results

Error	Segments	Branch
4.9b	3	`x`
9.9b	3	`eps`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	1.4268070191633218e-110	2.948657564451523e-110
18.0ms	-1.8964216014480838e-89	-3.8403925561950944e-90

Results

16.0ms	84×	body	512	valid
11.0ms	92×	body	256	valid

Compiler

Compiled 170 to 111 computations (34.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -24.4b remaining (-144.7%)

Threshold costs -24.4b (-144.7%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(*.f64 eps eps)

Outputs
(*.f64 eps eps)

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Error	Segments	Branch
16.9b	1	`x`
16.9b	1	`eps`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify1.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 51 to 28 computations (45.1% saved)

soundness0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

end26.0ms (0.3%)

Compiler: Compiled 43 to 16 computations (62.8% saved)

Details

analyze0.0ms (0%)

sample1.6s (18%)

preprocess202.0ms (2.3%)

simplify69.0ms (0.8%)

eval3.0ms (0%)

prune3.0ms (0%)

localize40.0ms (0.5%)

series32.0ms (0.4%)

rewrite123.0ms (1.4%)

simplify793.0ms (9%)

localize22.0ms (0.2%)

series23.0ms (0.3%)

rewrite127.0ms (1.4%)

simplify389.0ms (4.4%)

eval168.0ms (1.9%)

prune64.0ms (0.7%)

localize12.0ms (0.1%)

series18.0ms (0.2%)

rewrite123.0ms (1.4%)

simplify336.0ms (3.8%)

localize7.0ms (0.1%)

localize17.0ms (0.2%)

localize14.0ms (0.2%)

series32.0ms (0.4%)

rewrite237.0ms (2.7%)

simplify726.0ms (8.2%)

localize12.0ms (0.1%)

series46.0ms (0.5%)

rewrite277.0ms (3.1%)

simplify687.0ms (7.8%)

eval335.0ms (3.8%)

prune327.0ms (3.7%)

localize11.0ms (0.1%)

series32.0ms (0.4%)

rewrite104.0ms (1.2%)

simplify488.0ms (5.5%)

localize13.0ms (0.1%)

series18.0ms (0.2%)

rewrite98.0ms (1.1%)

simplify370.0ms (4.2%)

localize14.0ms (0.2%)

series17.0ms (0.2%)

rewrite147.0ms (1.7%)

simplify358.0ms (4.1%)

eval104.0ms (1.2%)

prune56.0ms (0.6%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes26.0ms (0.3%)

regimes11.0ms (0.1%)

regimes26.0ms (0.3%)

bsearch30.0ms (0.3%)

regimes7.0ms (0.1%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end26.0ms (0.3%)

Profiling