Details

analyze1.0ms (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)

sample1.8s (5.3%)

Results

1.0s	6104×	body	256	valid
442.0ms	1035×	body	1024	valid
315.0ms	1092×	body	512	valid
12.0ms	25×	body	2048	valid

Bogosity

preprocess4.1s (11.7%)

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify1.6s (4.5%)

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

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune2.0ms (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

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.6b	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
▶	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))

Compiler

Compiled 20 to 13 computations (35% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series11.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1025 to 610 computations (40.5% saved)

rewrite2.2s (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

80× egg-rr

Counts

1 → 80

Calls

Call 1

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

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

Outputs

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

simplify3.0s (8.7%)

Algorithm

1×

egglog

Counts

104 → 118

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	1.7b	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Compiler

Compiled 25 to 13 computations (48% saved)

series22.0ms (0.1%)

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))
0.0ms	x	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
0.0ms	x	@	inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
0.0ms	eps	@	0	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
0.0ms	eps	@	-inf	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Compiler

Compiled 2325 to 1460 computations (37.2% saved)

rewrite1.6s (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

81×	`egg-rr`
60×	`egg-rr`

Counts

2 → 141

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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Outputs

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simplify3.6s (10.4%)

Algorithm

1×

egglog

Counts

189 → 201

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

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

eval172.0ms (0.5%)

Compiler: Compiled 7128 to 3625 computations (49.1% saved)

prune46.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	315	4	319
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	316	5	321

Error

Counts

321 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 (+.f64 eps x) eps (*.f64 x eps))
▶	0.0b	(+.f64 (.f64 (+.f64 eps x) eps) (.f64 x eps))
▶	20.8b	(.f64 (.f64 2 eps) x)
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
▶	17.0b	(*.f64 eps eps)

Compiler

Compiled 42 to 24 computations (42.9% saved)

localize3.0ms (0%)

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

localize5.0ms (0%)

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 6 computations (75% saved)

series29.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

Compiler

Compiled 1825 to 990 computations (45.8% saved)

rewrite1.6s (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

71×	`egg-rr`
64×	`egg-rr`

Counts

2 → 135

Calls

Call 1

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

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

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

simplify4.5s (13.1%)

Algorithm

1×

egglog

Counts

183 → 199

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

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 5 computations (72.2% saved)

series9.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

Compiler

Compiled 1025 to 610 computations (40.5% saved)

rewrite1.6s (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

50× egg-rr

Counts

1 → 50

Calls

Call 1

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

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

Outputs

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

simplify2.3s (6.6%)

Algorithm

1×

egglog

Counts

74 → 75

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

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

eval78.0ms (0.2%)

Compiler: Compiled 5754 to 2220 computations (61.4% saved)

prune37.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	273	1	274
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	275	4	279

Error

Counts

279 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 (+.f64 eps x) x) eps)
✓	20.8b	(.f64 (.f64 2 eps) x)
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	17.0b	(*.f64 eps eps)

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series13.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

Compiler

Compiled 1535 to 910 computations (40.7% saved)

rewrite1.6s (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

102×	`egg-rr`
59×	`egg-rr`

Counts

2 → 161

Calls

Call 1

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

Outputs

((#(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 (+.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 (cbrt.f64 (+.f64 eps x)) (-.f64 (cbrt.f64 (+.f64 eps x)) (cbrt.f64 x)))) (+.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) 2)) (*.f64 (cbrt.f64 x) (-.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 eps x))))) (+.f64 (cbrt.f64 (+.f64 eps x)) (cbrt.f64 x)))))) (#(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 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 eps 2)) (-.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 2))) (*.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 x x))))) (+.f64 (cbrt.f64 eps) (cbrt.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cbrt.f64 (*.f64 4 (pow.f64 x 2))) (-.f64 (cbrt.f64 (pow.f64 eps 2)) (*.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 eps)))) (+.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2 x eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 eps x) 1 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 (cbrt.f64 x) (cbrt.f64 (pow.f64 x 2)) (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 x) (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) 2)) (cbrt.f64 (+.f64 eps x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (*.f64 2 (cbrt.f64 (pow.f64 x 2))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 x x)) (cbrt.f64 (*.f64 4 (pow.f64 x 2))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 2)) (*.f64 2 (cbrt.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 eps 2)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 eps 2)) (cbrt.f64 eps) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 x eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 2 eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 x eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 x eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 x eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (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 x 3)) (fma.f64 eps eps (*.f64 (+.f64 eps x) x))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 eps x) 0) (*.f64 (+.f64 eps x) (+.f64 1 (/.f64 x (+.f64 eps x)))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 eps eps (*.f64 (+.f64 eps x) x)) 0) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 eps eps (*.f64 (+.f64 eps x) x))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 x 3)) (fma.f64 eps eps (*.f64 (+.f64 eps x) x))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 eps 0) (/.f64 (*.f64 eps (fma.f64 2 x eps)) eps) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 eps 0) (/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) 8)) (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps)))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 eps (+.f64 x x)) 0) (/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (pow.f64 eps 2)) (-.f64 (+.f64 x x) eps)) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 eps) 0) (/.f64 (*.f64 eps (fma.f64 2 x eps)) eps) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 eps 0) (*.f64 (/.f64 (fma.f64 2 x eps) eps) eps) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (*.f64 x (+.f64 2 (/.f64 eps x))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps))) 0) (/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) 8)) (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps)))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) 8)) (fma.f64 eps eps (*.f64 (+.f64 x x) (-.f64 (+.f64 x x) eps)))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 x x) eps) 0) (/.f64 (-.f64 (*.f64 4 (pow.f64 x 2)) (pow.f64 eps 2)) (-.f64 (+.f64 x x) eps)) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x x) 0) (*.f64 (+.f64 x x) (+.f64 1 (/.f64 eps (+.f64 x x)))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 eps (-.f64 eps (+.f64 x x)))) 0) (/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 eps 0) (/.f64 (+.f64 (pow.f64 eps 3) (*.f64 (pow.f64 x 3) 8)) (+.f64 (*.f64 4 (pow.f64 x 2)) (*.f64 eps (-.f64 eps (+.f64 x x))))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 eps eps (*.f64 (+.f64 eps x) x))) (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) (neg.f64 (pow.f64 x 3))) (fma.f64 eps eps (*.f64 (+.f64 eps x) x))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 eps eps (*.f64 (+.f64 eps x) x)) 0) (/.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (neg.f64 (pow.f64 x 3))) (fma.f64 eps eps (*.f64 (+.f64 eps x) x))) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (-.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 eps x) 0) x)))))

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

simplify4.4s (12.7%)

Algorithm

1×

egglog

Counts

209 → 223

Calls

Call 1

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

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

eval82.0ms (0.2%)

Compiler: Compiled 4682 to 2446 computations (47.8% saved)

prune33.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	223	4	227

Error

Counts

227 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (+.f64 (+.f64 eps x) x) eps)
✓	20.8b	(.f64 (.f64 2 eps) x)
✓	0.0b	(*.f64 eps (+.f64 eps (+.f64 x x)))
✓	17.0b	(*.f64 eps eps)

Compiler

Compiled 30 to 18 computations (40% saved)

regimes14.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
5.0ms	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 67 to 34 computations (49.3% saved)

regimes19.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes44.0ms (0.1%)

Accuracy

Total -32.1b remaining (-723.9%)

Threshold costs -32.1b (-723.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

33.0ms	eps
10.0ms	x

Results

Error	Segments	Branch
4.4b	3	`x`
5.8b	5	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch42.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.609162271088865e-107	4.0070546331650676e-105
26.0ms	-1.192671712090039e-99	-1.6804303441780215e-102

Results

25.0ms	129×	body	512	valid
13.0ms	111×	body	256	valid

Compiler

Compiled 226 to 162 computations (28.3% saved)

simplify1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 46 to 28 computations (39.1% saved)

soundness0.0ms (0%)

end25.0ms (0.1%)

Compiler: Compiled 40 to 21 computations (47.5% saved)

Details

analyze1.0ms (0%)

sample1.8s (5.3%)

preprocess4.1s (11.7%)

simplify1.6s (4.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize7.0ms (0%)

series11.0ms (0%)

rewrite2.2s (6.5%)

simplify3.0s (8.7%)

localize10.0ms (0%)

series22.0ms (0.1%)

rewrite1.6s (4.6%)

simplify3.6s (10.4%)

eval172.0ms (0.5%)

prune46.0ms (0.1%)

localize3.0ms (0%)

localize5.0ms (0%)

localize8.0ms (0%)

series29.0ms (0.1%)

rewrite1.6s (4.5%)

simplify4.5s (13.1%)

localize7.0ms (0%)

series9.0ms (0%)

rewrite1.6s (4.7%)

simplify2.3s (6.6%)

eval78.0ms (0.2%)

prune37.0ms (0.1%)

localize6.0ms (0%)

series13.0ms (0%)

rewrite1.6s (4.7%)

simplify4.4s (12.7%)

eval82.0ms (0.2%)

prune33.0ms (0.1%)

regimes14.0ms (0%)

regimes19.0ms (0.1%)

regimes44.0ms (0.1%)

bsearch42.0ms (0.1%)

simplify1.0ms (0%)

soundness0.0ms (0%)

end25.0ms (0.1%)

Profiling