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)

sample1.7s (42.1%)

Results

916.0ms	6145×	body	256	valid
415.0ms	993×	body	1024	valid
293.0ms	1096×	body	512	valid
9.0ms	22×	body	2048	valid

Bogosity

preprocess55.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1516×	`associate-+l-`
1070×	`distribute-lft-out`
1060×	`associate-+r-`
976×	`distribute-lft-neg-in`
870×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	31	50
2	106	50
3	260	50
4	971	38
5	3882	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-out--`
1122×	`distribute-lft-in`
874×	`distribute-rgt-in`
850×	`fma-neg`
748×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	67	25
3	170	25
4	548	15
5	2315	15
6	7614	15

Stop Event

1×	node limit

Counts

1 → 3

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

eval1.0ms (0%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite87.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`add-sqr-sqrt`
1472×	`*-un-lft-identity`
1360×	`add-cube-cbrt`
1342×	`add-cbrt-cube`
1326×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	159	15
2	1820	15

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1268×	`associate--r+`
1104×	`fma-def`
958×	`log-prod`
918×	`*-commutative`
722×	`distribute-lft-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	540
1	108	540
2	346	540
3	2277	540
4	4808	540
5	7983	540

Stop Event

1×	node limit

Counts

38 → 20

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

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

eval4.0ms (0.1%)

Compiler: Compiled 157 to 97 computations (38.2% saved)

prune4.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Error

0.0b

Counts

21 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	23.0b	(.f64 eps (.f64 2 x))
▶	18.2b	(*.f64 eps eps)

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Compiler

Compiled 25 to 13 computations (48% saved)

series46.0ms (1.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
44.0ms	eps	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
1.0ms	x	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	-inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

rewrite74.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`*-commutative`
766×	`unswap-sqr`
576×	`swap-sqr`
416×	`distribute-lft-in`
404×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	195	15
2	2566	15

Stop Event

1×	node limit

Counts

1 → 105

Calls

Call 1

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

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

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

simplify117.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1588×	`associate-*r/`
1562×	`distribute-lft-in`
1352×	`associate-*l/`
690×	`associate-/l/`
674×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	7211
1	914	6201
2	3867	6201

Stop Event

1×	node limit

Counts

129 → 187

Calls

Call 1

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

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

localize42.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 eps (fma.f64 2 x eps))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
✓	20.2b	(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))

Compiler

Compiled 32 to 19 computations (40.6% saved)

series8.0ms (0.2%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
1.0ms	x	@	0	(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
1.0ms	eps	@	-inf	(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
0.0ms	eps	@	0	(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)

rewrite68.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1818×	`add-cube-cbrt`
1796×	`add-cbrt-cube`
208×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	244	34
2	2551	34

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)

Outputs

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

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

simplify124.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1216×	`unswap-sqr`
1082×	`fma-def`
888×	`*-commutative`
790×	`distribute-lft-in`
762×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2217
1	604	2113
2	1925	2039
3	6334	2039

Stop Event

1×	node limit

Counts

67 → 90

Calls

Call 1

Inputs
(pow.f64 (pow.f64 eps 2) 1/3)
(+.f64 (pow.f64 (pow.f64 eps 2) 1/3) (.f64 2/3 (.f64 (pow.f64 (*.f64 (pow.f64 eps 5) 1) 1/9) x)))
(+.f64 (pow.f64 (pow.f64 eps 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/9) x)) (.f64 -4/9 (.f64 (pow.f64 (.f64 (pow.f64 eps 4) 1) 1/9) (pow.f64 x 2)))))
(+.f64 (pow.f64 (pow.f64 eps 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 4)) 1/3) (.f64 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 8/27 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/3))) (pow.f64 x 3)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/9) x)) (.f64 -4/9 (.f64 (pow.f64 (*.f64 (pow.f64 eps 4) 1) 1/9) (pow.f64 x 2))))))
(*.f64 (pow.f64 eps 2) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 4/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9))) x) (.f64 (pow.f64 eps 2) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 4/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9))) x) (+.f64 (.f64 (+.f64 (.f64 8/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (+.f64 (.f64 -4/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (.f64 (+.f64 (.f64 -8/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9)) (.f64 4/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9))) (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)))) (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 4/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9))) x) (+.f64 (.f64 (+.f64 (.f64 8/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (+.f64 (.f64 -4/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (.f64 (+.f64 (.f64 -8/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9)) (.f64 4/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9))) (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 8/27 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/3))))) (+.f64 (.f64 2/3 (.f64 (+.f64 (.f64 -8/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9)) (.f64 4/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9))) (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/9))) (+.f64 (.f64 -16/27 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3) (+.f64 (.f64 -16/27 (.f64 (pow.f64 1 1/9) eps)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 8/27 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/3)))))))))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) (pow.f64 1 1/3)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))) 1)
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 1)
(.f64 1 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(*.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 eps))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(.f64 (pow.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 1/3) (pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 1/3))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/3)
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 1))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x eps)) eps))
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) 1) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6)) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) 3) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))

Outputs
(pow.f64 (pow.f64 eps 2) 1/3)
(cbrt.f64 (*.f64 eps eps))
(+.f64 (pow.f64 (pow.f64 eps 2) 1/3) (.f64 2/3 (.f64 (pow.f64 (*.f64 (pow.f64 eps 5) 1) 1/9) x)))
(+.f64 (cbrt.f64 (.f64 eps eps)) (.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x)))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x) (cbrt.f64 (*.f64 eps eps)))
(+.f64 (pow.f64 (pow.f64 eps 2) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/9) x)) (.f64 -4/9 (.f64 (pow.f64 (.f64 (pow.f64 eps 4) 1) 1/9) (pow.f64 x 2)))))
(+.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x) (.f64 -4/9 (.f64 (.f64 (pow.f64 (pow.f64 eps 4) 1/18) (pow.f64 (pow.f64 eps 4) 1/18)) (*.f64 x x)))))
(+.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (pow.f64 eps 4) 1/18) (pow.f64 (pow.f64 eps 4) 1/18)) (.f64 x x)) (.f64 2/3 (.f64 (*.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x))))
(fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x) (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (pow.f64 eps 4) 1/18) (pow.f64 (pow.f64 eps 4) 1/18)) (.f64 x x)) (cbrt.f64 (.f64 eps eps))))
(+.f64 (pow.f64 (pow.f64 eps 2) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 4)) 1/3) (.f64 (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 8/27 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/3))) (pow.f64 x 3)))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/9) x)) (.f64 -4/9 (.f64 (pow.f64 (*.f64 (pow.f64 eps 4) 1) 1/9) (pow.f64 x 2))))))
(+.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 eps 4))) (.f64 (fma.f64 -16/9 (.f64 1 (cbrt.f64 (pow.f64 eps 5))) (.f64 (cbrt.f64 (pow.f64 eps 5)) 8/27)) (pow.f64 x 3))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x) (.f64 -4/9 (.f64 (.f64 (pow.f64 (pow.f64 eps 4) 1/18) (pow.f64 (pow.f64 eps 4) 1/18)) (*.f64 x x))))))
(+.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 -1/3 (.f64 (fma.f64 -16/9 (cbrt.f64 (pow.f64 eps 5)) (.f64 (cbrt.f64 (pow.f64 eps 5)) 8/27)) (.f64 (pow.f64 x 3) (cbrt.f64 (/.f64 1 (pow.f64 eps 4))))) (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (pow.f64 eps 4) 1/18) (pow.f64 (pow.f64 eps 4) 1/18)) (.f64 x x)) (.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x)))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 eps 4))) (.f64 -1/3 (.f64 (.f64 (cbrt.f64 (pow.f64 eps 5)) -40/27) (pow.f64 x 3))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) x) (fma.f64 -4/9 (.f64 (.f64 (pow.f64 (pow.f64 eps 4) 1/18) (pow.f64 (pow.f64 eps 4) 1/18)) (.f64 x x)) (cbrt.f64 (*.f64 eps eps)))))
(*.f64 (pow.f64 eps 2) (pow.f64 1 1/3))
(*.f64 eps eps)
(+.f64 (.f64 (+.f64 (.f64 4/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9))) x) (.f64 (pow.f64 eps 2) (pow.f64 1 1/3)))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (pow.f64 (pow.f64 eps 17) 1/18)) 2) x (*.f64 eps eps))
(fma.f64 eps eps (.f64 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (pow.f64 (pow.f64 eps 17) 1/18)) (*.f64 2 x)))
(fma.f64 x (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (.f64 2 (pow.f64 (pow.f64 eps 17) 1/18))) (*.f64 eps eps))
(+.f64 (.f64 (+.f64 (.f64 4/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9))) x) (+.f64 (.f64 (+.f64 (.f64 8/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (+.f64 (.f64 -4/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (.f64 (+.f64 (.f64 -8/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9)) (.f64 4/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9))) (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)))) (pow.f64 x 2)) (*.f64 (pow.f64 eps 2) (pow.f64 1 1/3))))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (pow.f64 (pow.f64 eps 17) 1/18)) 2) x (fma.f64 (fma.f64 8/9 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) (fma.f64 -4/9 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) (.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (pow.f64 (pow.f64 eps 10) 1/18)) -4/9)))) (.f64 x x) (.f64 eps eps)))
(fma.f64 x (.f64 2 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (pow.f64 (pow.f64 eps 17) 1/18))) (fma.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (.f64 (pow.f64 (pow.f64 eps 10) 1/18) -4/9))) (.f64 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) 4/9)) (.f64 eps eps)))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (.f64 2 (pow.f64 (pow.f64 eps 17) 1/18))) (.f64 x (fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 -4/9 (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (pow.f64 (pow.f64 eps 10) 1/18))) (.f64 (*.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) 4/9))))))
(+.f64 (.f64 (+.f64 (.f64 4/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 eps 17) 1) 1/9))) x) (+.f64 (.f64 (+.f64 (.f64 8/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (+.f64 (.f64 -4/9 (pow.f64 (.f64 (pow.f64 eps 16) 1) 1/9)) (.f64 (+.f64 (.f64 -8/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9)) (.f64 4/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9))) (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3)))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 8/27 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/3))))) (+.f64 (.f64 2/3 (.f64 (+.f64 (.f64 -8/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9)) (.f64 4/9 (pow.f64 (.f64 (pow.f64 eps 10) 1) 1/9))) (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/9))) (+.f64 (.f64 -16/27 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 (pow.f64 (.f64 (pow.f64 eps 2) 1) 1/3) (+.f64 (.f64 -16/27 (.f64 (pow.f64 1 1/9) eps)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (+.f64 (.f64 -16/9 (.f64 (pow.f64 (pow.f64 eps 5) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 8/27 (pow.f64 (.f64 (pow.f64 eps 5) 1) 1/3)))))))))) (pow.f64 x 3)) (*.f64 (pow.f64 eps 2) (pow.f64 1 1/3)))))
(fma.f64 (.f64 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (pow.f64 (pow.f64 eps 17) 1/18)) 2) x (fma.f64 (fma.f64 8/9 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) (fma.f64 -4/9 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) (.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (pow.f64 (pow.f64 eps 10) 1/18)) -4/9)))) (.f64 x x) (fma.f64 (+.f64 (.f64 -1/3 (fma.f64 -16/9 (.f64 1 (cbrt.f64 (pow.f64 eps 5))) (.f64 (cbrt.f64 (pow.f64 eps 5)) 8/27))) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (pow.f64 (pow.f64 eps 10) 1/18)) -4/9)) (fma.f64 -16/27 (.f64 1 (cbrt.f64 (pow.f64 eps 5))) (.f64 (cbrt.f64 (.f64 eps eps)) (+.f64 (.f64 -16/27 eps) (.f64 -2/3 (.f64 (fma.f64 -16/9 (.f64 1 (cbrt.f64 (pow.f64 eps 5))) (.f64 (cbrt.f64 (pow.f64 eps 5)) 8/27)) (cbrt.f64 (/.f64 1 (.f64 eps eps)))))))))) (pow.f64 x 3) (.f64 eps eps))))
(fma.f64 x (.f64 2 (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (pow.f64 (pow.f64 eps 17) 1/18))) (fma.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (.f64 eps eps)) (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (.f64 (pow.f64 (pow.f64 eps 10) 1/18) -4/9))) (.f64 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) 4/9)) (fma.f64 (pow.f64 x 3) (fma.f64 -1/3 (fma.f64 -16/9 (cbrt.f64 (pow.f64 eps 5)) (.f64 (cbrt.f64 (pow.f64 eps 5)) 8/27)) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (.f64 (pow.f64 (pow.f64 eps 10) 1/18) -4/9))) (fma.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 -2/3 (.f64 (fma.f64 -16/9 (cbrt.f64 (pow.f64 eps 5)) (.f64 (cbrt.f64 (pow.f64 eps 5)) 8/27)) (cbrt.f64 (/.f64 1 (.f64 eps eps)))) (.f64 eps -16/27)) (.f64 (cbrt.f64 (pow.f64 eps 5)) -16/27)))) (*.f64 eps eps))))
(fma.f64 x (.f64 (pow.f64 (pow.f64 eps 17) 1/18) (.f64 2 (pow.f64 (pow.f64 eps 17) 1/18))) (fma.f64 eps eps (.f64 (.f64 x x) (+.f64 (fma.f64 (cbrt.f64 (.f64 eps eps)) (.f64 -4/9 (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (pow.f64 (pow.f64 eps 10) 1/18))) (.f64 (.f64 (pow.f64 (pow.f64 eps 16) 1/18) (pow.f64 (pow.f64 eps 16) 1/18)) 4/9)) (.f64 x (fma.f64 2/3 (.f64 (.f64 (pow.f64 (pow.f64 eps 5) 1/18) (pow.f64 (pow.f64 eps 5) 1/18)) (.f64 -4/9 (.f64 (pow.f64 (pow.f64 eps 10) 1/18) (pow.f64 (pow.f64 eps 10) 1/18)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (pow.f64 eps 5)) -40/27) (fma.f64 (cbrt.f64 (.f64 eps eps)) (fma.f64 eps -16/27 (.f64 (cbrt.f64 (/.f64 (/.f64 1 eps) eps)) (.f64 (.f64 (cbrt.f64 (pow.f64 eps 5)) -40/27) -2/3))) (.f64 (cbrt.f64 (pow.f64 eps 5)) -16/27)))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))) 1)
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 1)
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 1 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 eps))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 2))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) 1/3))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 (cbrt.f64 (fma.f64 2 x eps)) (cbrt.f64 eps))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(.f64 (pow.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 1/3) (pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps)))) (cbrt.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 1)
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/3)
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6) 2)
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))) 3)
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 1))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1/3))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))
(+.f64 (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x eps)) eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x eps)) eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.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 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) 1) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6)) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps)))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (cbrt.f64 eps) (.f64 (cbrt.f64 (fma.f64 2 x eps)) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (cbrt.f64 (fma.f64 2 x eps)) (.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)))
(.f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1/6) 3))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps)))) 2) 3) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(*.f64 eps (fma.f64 2 x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(*.f64 eps (fma.f64 2 x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 2 x eps))) 1))
(*.f64 eps (fma.f64 2 x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))

eval222.0ms (5.6%)

Compiler: Compiled 7954 to 5342 computations (32.8% saved)

prune74.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	295	2	297
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	297	5	302

Error

Counts

302 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(fma.f64 (.f64 2 x) eps (.f64 eps eps))
▶	7.9b	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	23.0b	(.f64 eps (.f64 2 x))
✓	18.2b	(*.f64 eps eps)

Compiler

Compiled 52 to 33 computations (36.5% saved)

localize27.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps)
✓	7.9b	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite137.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`distribute-lft-in`
952×	`associate-/r/`
778×	`associate-/l/`
344×	`associate-+l+`
324×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	316	46
2	4557	46

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x 2 eps) eps) (*.f64 (/.f64 1 (-.f64 (*.f64 x 2) eps)) (*.f64 eps (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 x 2 eps) eps) (*.f64 (/.f64 1 (-.f64 (*.f64 x 2) eps)) (*.f64 (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x 2) eps)) (*.f64 (*.f64 4 (*.f64 x x)) eps)) (*.f64 (/.f64 1 (-.f64 (*.f64 x 2) eps)) (*.f64 (neg.f64 (*.f64 eps eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (-.f64 (*.f64 x 2) eps)) (*.f64 eps (*.f64 4 (*.f64 x x)))) (*.f64 (/.f64 1 (-.f64 (*.f64 x 2) eps)) (*.f64 eps (neg.f64 (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 eps eps))) (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 eps eps))) eps) (*.f64 (/.f64 (*.f64 eps (-.f64 (*.f64 4 (*.f64 x x)) (*.f64 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simplify128.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

898×	`associate-r`
848×	`associate-+r+`
720×	`associate-l`
654×	`associate-/l*`
594×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	7541
1	1163	7199
2	5973	7197

Stop Event

1×	node limit

Counts

181 → 197

Calls

Call 1

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

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

localize7.0ms (0.2%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

eval111.0ms (2.8%)

Compiler: Compiled 4873 to 2572 computations (47.2% saved)

prune29.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	196	6	202

Error

Counts

202 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (.f64 2 x) eps (.f64 eps eps))
✓	7.9b	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
▶	26.2b	(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	23.0b	(.f64 eps (.f64 2 x))
✓	18.2b	(*.f64 eps eps)

Compiler

Compiled 67 to 43 computations (35.8% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 eps (.f64 (*.f64 4 x) x))
✓	5.8b	(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))
0.0ms	eps	@	0	(.f64 eps (.f64 (*.f64 4 x) x))
0.0ms	eps	@	inf	(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))
0.0ms	eps	@	inf	(.f64 eps (.f64 (*.f64 4 x) x))
0.0ms	eps	@	0	(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))

rewrite112.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`associate-*r/`
1334×	`associate-*l/`
572×	`distribute-lft-in`
562×	`associate-/r/`
500×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	263	56
2	3672	56

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

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

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1804×	`distribute-lft-in`
1776×	`distribute-rgt-in`
700×	`associate-/l*`
656×	`associate-r`
638×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	6917
1	1081	6673
2	5350	6667

Stop Event

1×	node limit

Counts

157 → 183

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

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

eval107.0ms (2.7%)

Compiler: Compiled 3987 to 2785 computations (30.1% saved)

prune26.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	183	6	189

Error

Counts

189 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0b	(fma.f64 (.f64 2 x) eps (.f64 eps eps))
✓	7.9b	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	26.2b	(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	23.0b	(.f64 eps (.f64 2 x))
✓	18.2b	(*.f64 eps eps)

Compiler

Compiled 67 to 43 computations (35.8% saved)

regimes19.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(/.f64 (.f64 eps (.f64 (.f64 4 x) x)) (-.f64 (.f64 2 x) eps))
(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
(*.f64 eps (fma.f64 2 x eps))
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)

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

Calls

3 calls:

7.0ms	x
5.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`eps`
0b	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 98 to 57 computations (41.8% saved)

regimes11.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

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

Compiler

Compiled 61 to 34 computations (44.3% saved)

regimes64.0ms (1.6%)

Accuracy

Total -36.5b remaining (-949.5%)

Threshold costs -36.5b (-949.5%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

54.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
3.8b	3	`x`
8.6b	3	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch46.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.1450532877161397e-63	5.477667885924957e-59
24.0ms	-4.6573094672419055e-91	-1.73502087845465e-94

Results

22.0ms	98×	body	512	valid
14.0ms	122×	body	256	valid
8.0ms	36×	body	1024	valid

Compiler

Compiled 240 to 172 computations (28.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	98
1	30	98

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(if (<=.f64 x -8807034685401875/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (.f64 eps (.f64 2 x)) (if (<=.f64 x 1065287220983309/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(*.f64 eps eps)

Outputs
(fma.f64 (.f64 2 x) eps (.f64 eps eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) eps))
(if (<=.f64 x -8807034685401875/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (.f64 eps (.f64 2 x)) (if (<=.f64 x 1065287220983309/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -8807034685401875/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744) (not (<=.f64 x 1065287220983309/926336713898529563388567880069503262826159877325124512315660672063305037119488))) (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 45 to 29 computations (35.6% saved)

soundness127.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-out--`
1122×	`distribute-lft-in`
874×	`distribute-rgt-in`
850×	`fma-neg`
748×	`*-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	67	25
3	170	25
4	548	15
5	2315	15
6	7614	15

Stop Event

1×	node limit

Compiler

Compiled 120 to 40 computations (66.7% saved)

end106.0ms (2.7%)

Compiler: Compiled 39 to 20 computations (48.7% saved)

Details

analyze1.0ms (0%)

sample1.7s (42.1%)

preprocess55.0ms (1.4%)

simplify70.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite87.0ms (2.2%)

simplify78.0ms (2%)

eval4.0ms (0.1%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series46.0ms (1.2%)

rewrite74.0ms (1.9%)

simplify117.0ms (2.9%)

localize42.0ms (1.1%)

series8.0ms (0.2%)

rewrite68.0ms (1.7%)

simplify124.0ms (3.1%)

eval222.0ms (5.6%)

prune74.0ms (1.9%)

localize27.0ms (0.7%)

series5.0ms (0.1%)

rewrite137.0ms (3.5%)

simplify128.0ms (3.2%)

localize7.0ms (0.2%)

eval111.0ms (2.8%)

prune29.0ms (0.7%)

localize17.0ms (0.4%)

series6.0ms (0.1%)

rewrite112.0ms (2.8%)

simplify99.0ms (2.5%)

eval107.0ms (2.7%)

prune26.0ms (0.7%)

regimes19.0ms (0.5%)

regimes11.0ms (0.3%)

regimes64.0ms (1.6%)

bsearch46.0ms (1.2%)

simplify6.0ms (0.2%)

soundness127.0ms (3.2%)

end106.0ms (2.7%)

Profiling