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)

sample1.9s (37.7%)

Results

1.2s	6108×	body	256	valid
376.0ms	1035×	body	1024	valid
351.0ms	1095×	body	512	valid
7.0ms	18×	body	2048	valid

Bogosity

preprocess292.0ms (5.7%)

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)

simplify68.0ms (1.3%)

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 (0.1%)

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	@	0	(*.f64 eps (fma.f64 2 x eps))
0.0ms	eps	@	inf	(*.f64 eps (fma.f64 2 x eps))
0.0ms	x	@	-inf	(*.f64 eps (fma.f64 2 x eps))

rewrite51.0ms (1%)

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))))))))

simplify71.0ms (1.4%)

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))

eval3.0ms (0.1%)

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

prune5.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	4	21

Error

0.0b

Counts

21 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	21.8b	(.f64 eps (.f64 2 x))
▶	18.5b	(*.f64 eps eps)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize2.0ms (0%)

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

localize5.0ms (0.1%)

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

localize11.0ms (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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (1.5%)

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))))))

simplify111.0ms (2.2%)

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))

eval121.0ms (2.4%)

Compiler: Compiled 5420 to 3500 computations (35.4% saved)

prune26.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	186	5	191

Error

Counts

191 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.0b	(/.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))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
✓	21.8b	(.f64 eps (.f64 2 x))
✓	18.5b	(*.f64 eps eps)

Compiler

Compiled 50 to 32 computations (36% saved)

localize89.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
✓	0.0b	(.f64 4 (.f64 x x))
✓	0.1b	(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps)
✓	12.0b	(/.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)

series6.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite247.0ms (4.8%)

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	118
1	316	84
2	4557	84

Stop Event

1×	node limit

Counts

4 → 280

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)
(.f64 4 (.f64 x x))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))

Outputs
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simplify217.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1494×	`associate-l`
1046×	`associate-/l*`
752×	`*-commutative`
550×	`associate-/r*`
540×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	16370
1	2137	15568

Stop Event

1×	node limit

Counts

364 → 414

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))
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(+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(+.f64 (+.f64 (neg.f64 (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (.f64 4 (.f64 x x)))
(+.f64 (.f64 2 (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
(+.f64 (.f64 (neg.f64 (.f64 eps eps)) 1) (.f64 4 (.f64 x x)))
(+.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) 1) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
(+.f64 (fma.f64 (neg.f64 (.f64 eps eps)) 1 (.f64 eps eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
(+.f64 (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 (pow.f64 eps 4)) (.f64 eps eps)) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(+.f64 (+.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (neg.f64 (.f64 eps eps))) (*.f64 eps eps))
(+.f64 (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (.f64 4 (.f64 x x))) (neg.f64 (.f64 eps eps)))
(+.f64 (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (.f64 4 (.f64 x x))) (+.f64 (neg.f64 (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps))))
(+.f64 (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (.f64 4 (.f64 x x))) (.f64 (neg.f64 (*.f64 eps eps)) 1))
(+.f64 (-.f64 (.f64 4 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 eps eps)))) 1)
(+.f64 (.f64 (fma.f64 x 2 eps) (.f64 x 2)) (*.f64 (fma.f64 x 2 eps) (neg.f64 eps)))
(+.f64 (.f64 (fma.f64 x 2 eps) (.f64 x 2)) (.f64 (fma.f64 x 2 eps) (.f64 (neg.f64 eps) 1)))
(+.f64 (.f64 (fma.f64 x 2 eps) (neg.f64 eps)) (.f64 (fma.f64 x 2 eps) (*.f64 x 2)))
(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 1)
(.f64 1 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(.f64 (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 2)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4)) (/.f64 1 (fma.f64 4 (.f64 x x) (.f64 eps eps))))
(.f64 (fma.f64 x 2 eps) (-.f64 (.f64 x 2) eps))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps))))))
(.f64 (/.f64 1 (fma.f64 4 (.f64 x x) (.f64 eps eps))) (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps 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 4) 16) (pow.f64 eps 4)) (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4)) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (-.f64 (+.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) 16)) (.f64 4 (.f64 (.f64 x x) (*.f64 eps eps)))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6)) (-.f64 (.f64 (.f64 (pow.f64 x 4) 16) (.f64 (pow.f64 x 4) 16)) (.f64 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps))) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))))) (-.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 (.f64 x x) 3) 64) (pow.f64 eps 6)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 16) 3) (pow.f64 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 4) 16) (.f64 (pow.f64 x 4) 16)) (-.f64 (.f64 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps))) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 1)
(/.f64 1 (/.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (-.f64 (*.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (-.f64 (.f64 (pow.f64 (*.f64 x x) 3) 64) (pow.f64 eps 6))))
(/.f64 1 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4)) (fma.f64 4 (.f64 x x) (*.f64 eps eps)))
(/.f64 (-.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 (pow.f64 x 4) 16) (.f64 (neg.f64 (.f64 eps eps)) (neg.f64 (.f64 eps eps)))) (-.f64 (.f64 4 (.f64 x x)) (neg.f64 (*.f64 eps eps))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (.f64 (neg.f64 (.f64 eps eps)) (neg.f64 (.f64 eps eps)))) (.f64 1 (-.f64 (.f64 4 (.f64 x x)) (neg.f64 (.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))) (-.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))) (.f64 1 (-.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 4) 16) (.f64 (pow.f64 x 4) 16)) (.f64 (pow.f64 eps 4) (pow.f64 eps 4))) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) 16))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (.f64 (pow.f64 (.f64 x x) 3) 64)) (.f64 (pow.f64 eps 6) (pow.f64 eps 6))) (.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps 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 (pow.f64 (.f64 x x) 3) 64) (pow.f64 (neg.f64 (.f64 eps eps)) 3)) (+.f64 (.f64 (pow.f64 x 4) 16) (-.f64 (.f64 (neg.f64 (.f64 eps eps)) (neg.f64 (.f64 eps eps))) (.f64 (.f64 4 (.f64 x x)) (neg.f64 (*.f64 eps eps))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 (neg.f64 (.f64 eps eps)) 3)) (.f64 1 (+.f64 (.f64 (pow.f64 x 4) 16) (-.f64 (.f64 (neg.f64 (.f64 eps eps)) (neg.f64 (.f64 eps eps))) (.f64 (.f64 4 (.f64 x x)) (neg.f64 (.f64 eps eps)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 3) (pow.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 3) (pow.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) 3)) (.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 16) 3) (pow.f64 (pow.f64 eps 4) 3)) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (.f64 (.f64 (pow.f64 x 4) 16) (.f64 (pow.f64 x 4) 16)) (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 eps 4)) (.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 3) (pow.f64 (pow.f64 eps 6) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (.f64 (pow.f64 (.f64 x x) 3) 64)) (+.f64 (.f64 (pow.f64 eps 6) (pow.f64 eps 6)) (.f64 (.f64 (pow.f64 (*.f64 x x) 3) 64) (pow.f64 eps 6))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (.f64 1 (neg.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(exp.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(fma.f64 4 (.f64 x x) (neg.f64 (.f64 eps eps)))
(fma.f64 (.f64 x x) 4 (neg.f64 (.f64 eps eps)))
(fma.f64 (.f64 x 2) (.f64 x 2) (neg.f64 (*.f64 eps eps)))
(fma.f64 1 (.f64 4 (.f64 x x)) (neg.f64 (*.f64 eps eps)))
(fma.f64 1 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (neg.f64 (.f64 eps eps)))
(fma.f64 (.f64 4 x) x (neg.f64 (.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 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 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 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 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 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 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 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(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 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(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 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(*.f64 -1 (pow.f64 eps 3))
(pow.f64 (neg.f64 eps) 3)
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(.f64 4 (.f64 eps (pow.f64 x 2)))
(.f64 eps (.f64 4 (*.f64 x x)))
(.f64 eps (.f64 x (*.f64 x 4)))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(.f64 4 (.f64 eps (pow.f64 x 2)))
(.f64 eps (.f64 4 (*.f64 x x)))
(.f64 eps (.f64 x (*.f64 x 4)))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(.f64 4 (.f64 eps (pow.f64 x 2)))
(.f64 eps (.f64 4 (*.f64 x x)))
(.f64 eps (.f64 x (*.f64 x 4)))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(*.f64 -1 (pow.f64 eps 3))
(pow.f64 (neg.f64 eps) 3)
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
(.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
(+.f64 (.f64 4 (.f64 eps (pow.f64 x 2))) (*.f64 -1 (pow.f64 eps 3)))
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(fma.f64 eps (.f64 x (.f64 x 4)) (pow.f64 (neg.f64 eps) 3))
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(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (.f64 1 (neg.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -16) (pow.f64 eps 4)) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 64 (neg.f64 (pow.f64 eps 6)))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 eps (.f64 eps (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 64 (neg.f64 (pow.f64 eps 6)))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 eps (.f64 eps (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 1)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(pow.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))) 2)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(pow.f64 (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))) 3)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(pow.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 3) 1/3)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(sqrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 3))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(expm1.f64 (log1p.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(exp.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) 1))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(log1p.f64 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 4 (.f64 x x) (neg.f64 (.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 (.f64 x x) 4 (neg.f64 (.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 (.f64 x 2) (.f64 x 2) (neg.f64 (*.f64 eps eps)))
(+.f64 (pow.f64 (.f64 2 x) 2) (.f64 eps (neg.f64 eps)))
(+.f64 (.f64 eps (neg.f64 eps)) (pow.f64 (.f64 2 x) 2))
(fma.f64 1 (.f64 4 (.f64 x x)) (neg.f64 (*.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 1 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))
(-.f64 (fma.f64 4 (.f64 x x) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (*.f64 eps eps))
(-.f64 (fma.f64 4 (.f64 x x) (.f64 eps (.f64 0 eps))) (.f64 eps eps))
(fma.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))
(-.f64 (fma.f64 4 (.f64 x x) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (*.f64 eps eps))
(-.f64 (fma.f64 4 (.f64 x x) (.f64 eps (.f64 0 eps))) (.f64 eps eps))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))) (.f64 eps (.f64 0 eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (neg.f64 (.f64 eps eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 eps (neg.f64 eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 x (.f64 x 4))) (.f64 eps (neg.f64 eps)))
(fma.f64 (.f64 4 x) x (neg.f64 (.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))

eval229.0ms (4.5%)

Compiler: Compiled 11974 to 6080 computations (49.2% saved)

prune118.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	412	2	414
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	414	5	419

Error

Counts

419 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.5b	(/.f64 (.f64 eps (.f64 x (.f64 x 4))) (-.f64 (.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	0.0b	(.f64 eps (/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps)))
✓	21.8b	(.f64 eps (.f64 2 x))
✓	18.5b	(*.f64 eps eps)

Compiler

Compiled 57 to 37 computations (35.1% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
	0.0b	(.f64 4 (.f64 x x))
✓	0.0b	(.f64 eps (/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (-.f64 (*.f64 2 x) eps)))
✓	12.2b	(/.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (-.f64 (.f64 2 x) eps))

Compiler

Compiled 66 to 31 computations (53% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite101.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`associate-/r/`
816×	`associate-/l/`
352×	`associate-+l+`
328×	`add-sqr-sqrt`
322×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	92
1	319	24
2	4728	24

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (/.f64 (-.f64 (*.f64 x 2) eps) (*.f64 x x))) (neg.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x 2) eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (/.f64 eps (-.f64 (*.f64 x 2) eps)) eps)) (/.f64 4 (/.f64 (-.f64 (*.f64 x 2) eps) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (/.f64 (-.f64 (*.f64 x 2) eps) (*.f64 x x))) (*.f64 (/.f64 eps (-.f64 (*.f64 x 2) eps)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x 2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 2))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 x 2)))) 1)))) 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simplify126.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1214×	`associate-/r/`
828×	`associate-r`
712×	`associate-+r+`
626×	`+-commutative`
604×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	6228
1	1082	5824
2	5922	5796

Stop Event

1×	node limit

Counts

162 → 196

Calls

Call 1

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

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

localize47.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 eps (.f64 x (*.f64 x 4)))
✓	7.5b	(/.f64 (.f64 eps (.f64 x (.f64 x 4))) (-.f64 (.f64 2 x) eps))

Compiler

Compiled 42 to 26 computations (38.1% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite113.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`associate-*r/`
1378×	`associate-*l/`
572×	`distribute-lft-in`
562×	`associate-/r/`
508×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	263	56
2	3673	56

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) eps) (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (*.f64 x 2)) (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (*.f64 x (*.f64 x 4))) (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (*.f64 eps (fma.f64 x 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (*.f64 eps (fma.f64 x 2 eps))) (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (*.f64 x (*.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (+.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (*.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (*.f64 eps (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 1 (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 4)) (/.f64 eps (fma.f64 x 2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (/.f64 1 (fma.f64 x 2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (*.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (/.f64 1 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (sqrt.f64 (fma.f64 x 2 (neg.f64 eps)))) (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (sqrt.f64 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 x 4)))) 2) (*.f64 (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 x 4)))) (/.f64 1 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps))))) 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egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (fma.f64 x 2 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 eps (*.f64 x (*.f64 x 4))) (-.f64 (*.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (+.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps (fma.f64 x 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1 (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (fma.f64 x 2 (neg.f64 eps)))) (*.f64 (*.f64 x (*.f64 x 4)) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps 1) (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (sqrt.f64 (fma.f64 x 2 (neg.f64 eps)))) (/.f64 (*.f64 x (*.f64 x 4)) (sqrt.f64 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 x 2 (neg.f64 eps))) 2)) (/.f64 (*.f64 x (*.f64 x 4)) (cbrt.f64 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 4)) 1) (/.f64 eps (fma.f64 x 2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (*.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x 2 (neg.f64 eps))) 2)) (/.f64 eps (cbrt.f64 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) 1) (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (fma.f64 x 2 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (fma.f64 x 2 (neg.f64 eps))) (*.f64 (*.f64 x 2) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (pow.f64 (cbrt.f64 (fma.f64 x 2 (neg.f64 eps))) 2)) (/.f64 (*.f64 (*.f64 x 2) (sqrt.f64 eps)) (cbrt.f64 (fma.f64 x 2 (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (*.f64 x (*.f64 x 4)) (fma.f64 x 2 (neg.f64 eps))))))))))

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

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

806×	`associate-r`
740×	`associate-l`
704×	`associate-/l*`
514×	`*-commutative`
460×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	6833
1	1072	6633
2	5389	6621

Stop Event

1×	node limit

Counts

157 → 169

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

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

eval351.0ms (6.9%)

Compiler: Compiled 15613 to 8720 computations (44.1% saved)

prune130.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	581	1	582
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	582	5	587

Error

Counts

587 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.5b	(/.f64 (.f64 eps (.f64 x (.f64 x 4))) (-.f64 (.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
	0.0b	(.f64 eps (+.f64 (.f64 x 2) eps))
✓	21.8b	(.f64 eps (.f64 2 x))
✓	18.5b	(*.f64 eps eps)

Compiler

Compiled 47 to 31 computations (34% saved)

regimes34.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

3 calls:

20.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
6.0ms	x
6.0ms	eps

Results

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

Compiler

Compiled 105 to 60 computations (42.9% saved)

regimes43.0ms (0.8%)

Accuracy

Total -33.3b remaining (-618%)

Threshold costs -33.3b (-618%)

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:

34.0ms	x
8.0ms	eps

Results

Error	Segments	Branch
5.4b	3	`x`
9.7b	3	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch35.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.3926464571254556e-109	1.402189422343184e-108
20.0ms	-1.704793338745769e-121	-1.0299953279373481e-122

Results

20.0ms	91×	body	512	valid
13.0ms	117×	body	256	valid

Compiler

Compiled 198 to 142 computations (28.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	29	71

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -6698545683108313/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))

(*.f64 eps eps)

Outputs
(.f64 eps (+.f64 (.f64 x 2) eps))
(.f64 eps (+.f64 eps (.f64 x 2)))
(if (<=.f64 x -6698545683108313/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 eps (.f64 2 x)) (if (<=.f64 x 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -6698545683108313/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (not (<=.f64 x 231369589076587/330527984395124299475957654016385519914202341482140609642324397637202895618155672912594605219857642423795606012511679152128))) (.f64 eps (.f64 x 2)) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness245.0ms (4.8%)

Algorithm

2×	egg-herbie

Rules

1696×	`distribute-lft-out--`
1494×	`associate-l`
1122×	`distribute-lft-in`
1046×	`associate-/l*`
874×	`distribute-rgt-in`

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
0	674	16370
1	2137	15568

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 351 to 167 computations (52.4% saved)

end61.0ms (1.2%)

Compiler: Compiled 29 to 17 computations (41.4% saved)

Details

analyze1.0ms (0%)

sample1.9s (37.7%)

preprocess292.0ms (5.7%)

simplify68.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite51.0ms (1%)

simplify71.0ms (1.4%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

localize2.0ms (0%)

localize5.0ms (0.1%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite76.0ms (1.5%)

simplify111.0ms (2.2%)

eval121.0ms (2.4%)

prune26.0ms (0.5%)

localize89.0ms (1.7%)

series6.0ms (0.1%)

rewrite247.0ms (4.8%)

simplify217.0ms (4.3%)

eval229.0ms (4.5%)

prune118.0ms (2.3%)

localize21.0ms (0.4%)

series2.0ms (0%)

rewrite101.0ms (2%)

simplify126.0ms (2.5%)

localize47.0ms (0.9%)

series4.0ms (0.1%)

rewrite113.0ms (2.2%)

simplify98.0ms (1.9%)

eval351.0ms (6.9%)

prune130.0ms (2.5%)

regimes34.0ms (0.7%)

regimes43.0ms (0.8%)

bsearch35.0ms (0.7%)

simplify5.0ms (0.1%)

soundness245.0ms (4.8%)

end61.0ms (1.2%)

Profiling