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 (36.7%)

Results

992.0ms	6109×	body	256	valid
477.0ms	1033×	body	1024	valid
366.0ms	1093×	body	512	valid
16.0ms	21×	body	2048	valid

Bogosity

preprocess86.0ms (1.7%)

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)

simplify77.0ms (1.5%)

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

0.02%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(*.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
✓	0.02%	(*.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	eps	@	-inf	(*.f64 eps (fma.f64 2 x eps))
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	x	@	inf	(*.f64 eps (fma.f64 2 x eps))

rewrite53.0ms (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))))))))

simplify75.0ms (1.5%)

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)

prune4.0ms (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

0.01%

Counts

21 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.02%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.02%	(*.f64 eps (fma.f64 2 x eps))
▶	36.72%	(.f64 eps (.f64 2 x))
▶	26.27%	(*.f64 eps eps)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize6.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Compiler

Compiled 25 to 13 computations (48% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (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))))))

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

129 → 187

Calls

Call 1

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

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

eval120.0ms (2.4%)

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

prune27.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	185	6	191

Error

Counts

191 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.04%	(fma.f64 eps eps (.f64 2 (.f64 x eps)))
✓	0.02%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	0.21%	(.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
✓	0.02%	(*.f64 eps (fma.f64 2 x eps))
✓	36.72%	(.f64 eps (.f64 2 x))
✓	26.27%	(*.f64 eps eps)

Compiler

Compiled 60 to 38 computations (36.7% saved)

localize62.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
✓	0.03%	(/.f64 eps (-.f64 (*.f64 2 x) eps))
✓	0.04%	(.f64 4 (.f64 x x))
✓	0.18%	(.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))

Compiler

Compiled 58 to 28 computations (51.7% saved)

series7.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite173.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`associate-/r*`
1328×	`associate-/l*`
732×	`associate-/r/`
364×	`associate-+l+`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	106
1	315	78
2	4490	72

Stop Event

1×	node limit

Counts

4 → 362

Calls

Call 1

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

Outputs
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(-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 x) (.f64 2 x) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x x) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 4 (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 4)) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))) (sqrt.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x 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))) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 4) x (*.f64 eps (neg.f64 eps)))))))

simplify303.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-r`
1200×	`associate-/r*`
1114×	`associate-l`
1016×	`associate-/l/`
822×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	899	26196
1	2573	26094

Stop Event

1×	node limit

Counts

446 → 585

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

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

localize83.0ms (1.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(fma.f64 eps eps (.f64 2 (.f64 x eps)))
✓	0.05%	(.f64 2 (.f64 x eps))

Compiler

Compiled 21 to 9 computations (57.1% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite110.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1696×	`add-sqr-sqrt`
1682×	`*-un-lft-identity`
1554×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	180	32
2	2091	32

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1752×	`associate-/r*`
694×	`unswap-sqr`
658×	`+-commutative`
548×	`fma-def`
538×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1485
1	230	1283
2	1085	1273
3	5632	1273

Stop Event

1×	node limit

Counts

85 → 49

Calls

Call 1

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

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

eval419.0ms (8.3%)

Compiler: Compiled 18996 to 10334 computations (45.6% saved)

prune249.0ms (4.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	632	2	634
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	634	6	640

Error

Counts

640 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.21%	(.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
▶	40.22%	(.f64 (-.f64 (.f64 -2 (/.f64 x eps)) 1) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
▶	0.02%	(.f64 eps (+.f64 eps (.f64 2 x)))
✓	36.72%	(.f64 eps (.f64 2 x))
✓	26.27%	(*.f64 eps eps)

Compiler

Compiled 70 to 46 computations (34.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.02%	(.f64 eps (+.f64 eps (.f64 2 x)))

Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`add-sqr-sqrt`
1832×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1696×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	173	15
2	2276	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

868×	`times-frac`
850×	`associate-/l/`
830×	`associate-/r/`
778×	`associate-+r+`
674×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	85	1251
1	255	841
2	1053	841
3	4549	841

Stop Event

1×	node limit

Counts

47 → 38

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

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

localize19.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
	0.04%	(.f64 4 (.f64 x x))
✓	3.8%	(.f64 (-.f64 (.f64 -2 (/.f64 x eps)) 1) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))

Compiler

Compiled 59 to 27 computations (54.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite141.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`associate-/r*`
1246×	`distribute-lft-in`
938×	`associate-/l*`
332×	`add-sqr-sqrt`
320×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	332	45
2	4452	45

Stop Event

1×	node limit

Counts

1 → 116

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (*.f64 (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)) (fma.f64 -2 (/.f64 x eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (+.f64 (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps))) (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (*.f64 x (*.f64 x 4)) (*.f64 eps eps))) (+.f64 (*.f64 (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)) (fma.f64 -2 (/.f64 x eps) -1)) (*.f64 (fma.f64 -2 (/.f64 x eps) -1) 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simplify128.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-*r/`
982×	`associate-/r*`
954×	`associate-*l/`
734×	`associate-/l/`
730×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	329	10794
1	924	9990
2	3197	9202

Stop Event

1×	node limit

Counts

140 → 169

Calls

Call 1

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

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 eps eps (.f64 eps (.f64 x 2)))
(.f64 eps (+.f64 (.f64 x 2) eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 2 (*.f64 eps x))))
(+.f64 (fma.f64 -4 (.f64 x x) (.f64 2 (.f64 eps x))) (.f64 eps eps))
(fma.f64 eps eps (fma.f64 2 (.f64 eps x) (.f64 -4 (*.f64 x x))))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 2 (.f64 eps x)))))
(+.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (.f64 eps x)))) (.f64 eps eps))
(fma.f64 eps eps (fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))))
(fma.f64 eps eps (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4)))))
(*.f64 -8 (/.f64 (pow.f64 x 3) eps))
(*.f64 (/.f64 -8 eps) (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(fma.f64 -4 (.f64 x x) (.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 -4 (.f64 x x)))
(fma.f64 -4 (.f64 x x) (.f64 (/.f64 -8 eps) (pow.f64 x 3)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 2 (.f64 eps x))))
(fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (*.f64 eps x))))
(fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 2 (.f64 eps x)))))
(+.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (.f64 eps x)))) (.f64 eps eps))
(fma.f64 eps eps (fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))))
(fma.f64 eps eps (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4)))))
(*.f64 -8 (/.f64 (pow.f64 x 3) eps))
(*.f64 (/.f64 -8 eps) (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(fma.f64 -4 (.f64 x x) (.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 -4 (.f64 x x)))
(fma.f64 -4 (.f64 x x) (.f64 (/.f64 -8 eps) (pow.f64 x 3)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 2 (.f64 eps x))))
(fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (*.f64 eps x))))
(fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 2 (.f64 eps x)))))
(+.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (.f64 eps x)))) (.f64 eps eps))
(fma.f64 eps eps (fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))))
(fma.f64 eps eps (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4)))))
(*.f64 -8 (/.f64 (pow.f64 x 3) eps))
(*.f64 (/.f64 -8 eps) (pow.f64 x 3))
(+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(fma.f64 -4 (.f64 x x) (.f64 -8 (/.f64 (pow.f64 x 3) eps)))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 -4 (.f64 x x)))
(fma.f64 -4 (.f64 x x) (.f64 (/.f64 -8 eps) (pow.f64 x 3)))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 2 (.f64 eps x))))
(fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (*.f64 eps x))))
(fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps))))
(fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4))))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) eps)) (.f64 2 (.f64 eps x)))))
(+.f64 (fma.f64 -4 (.f64 x x) (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 2 (.f64 eps x)))) (.f64 eps eps))
(fma.f64 eps eps (fma.f64 -4 (.f64 x x) (fma.f64 2 (.f64 eps x) (*.f64 -8 (/.f64 (pow.f64 x 3) eps)))))
(fma.f64 eps eps (fma.f64 -8 (/.f64 (pow.f64 x 3) eps) (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4)))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 2 (.f64 eps x)) (*.f64 eps eps))
(fma.f64 eps eps (.f64 eps (.f64 x 2)))
(.f64 eps (+.f64 (.f64 x 2) eps))
(+.f64 (pow.f64 eps 2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 2 (*.f64 eps x))))
(+.f64 (fma.f64 -4 (.f64 x x) (.f64 2 (.f64 eps x))) (.f64 eps eps))
(fma.f64 eps eps (fma.f64 2 (.f64 eps x) (.f64 -4 (*.f64 x x))))
(fma.f64 eps eps (.f64 x (+.f64 (.f64 eps 2) (*.f64 x -4))))
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(.f64 (fma.f64 -2 (/.f64 x eps) -1) (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 x (.f64 x 4) (-.f64 (.f64 0 (.f64 eps eps)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (.f64 x x) 4 (neg.f64 (*.f64 eps eps))))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 3) (pow.f64 (fma.f64 -2 (/.f64 x eps) -1) 3)))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 x (.f64 x 4) (-.f64 (.f64 0 (.f64 eps eps)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (.f64 x x) 4 (neg.f64 (*.f64 eps eps))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 x (.f64 x 4) (-.f64 (.f64 0 (.f64 eps eps)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (.f64 x x) 4 (neg.f64 (*.f64 eps eps))))
(exp.f64 (log.f64 (.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 x (.f64 x 4) (-.f64 (.f64 0 (.f64 eps eps)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (.f64 x x) 4 (neg.f64 (*.f64 eps eps))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps)))) 1))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 x (.f64 x 4) (-.f64 (.f64 0 (.f64 eps eps)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (.f64 x x) 4 (neg.f64 (*.f64 eps eps))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -2 (/.f64 x eps) -1) (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (+.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 x (.f64 x 4) (-.f64 (.f64 0 (.f64 eps eps)) (*.f64 eps eps))))
(.f64 (fma.f64 -2 (/.f64 x eps) -1) (fma.f64 (.f64 x x) 4 (neg.f64 (*.f64 eps eps))))

eval248.0ms (4.9%)

Compiler: Compiled 13010 to 6842 computations (47.4% saved)

prune82.0ms (1.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	407	1	408
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	408	6	414

Error

Counts

414 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.02%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.21%	(.f64 (/.f64 eps (-.f64 (.f64 2 x) eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))
	13.05%	(.f64 (-.f64 (.f64 -2 (/.f64 x eps)) 1) (neg.f64 (*.f64 eps eps)))
✓	0.02%	(.f64 eps (+.f64 eps (.f64 2 x)))
✓	36.72%	(.f64 eps (.f64 2 x))
✓	26.27%	(*.f64 eps eps)

Compiler

Compiled 65 to 43 computations (33.8% saved)

regimes21.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
6.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Error	Segments	Branch
0.02%	1	`x`
0.02%	1	`eps`
0.02%	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 112 to 63 computations (43.8% saved)

regimes19.0ms (0.4%)

Accuracy

Total -34.8b remaining (-822.2%)

Threshold costs -34.8b (-822.2%)

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:

9.0ms	eps
9.0ms	x

Results

Error	Segments	Branch
6.61%	3	`x`
10.35%	3	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch42.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.392086401871726e-79	7.350754222656198e-79
29.0ms	-1.5137842141967731e-81	-9.408521386827733e-88

Results

17.0ms	83×	body	512	valid
16.0ms	114×	body	256	valid
7.0ms	27×	body	1024	valid

Compiler

Compiled 212 to 152 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	19	71
1	28	71

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -2575706453504475/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 8009951384703413/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))

(*.f64 eps eps)

Outputs
(.f64 eps (+.f64 eps (.f64 2 x)))
(if (<=.f64 x -2575706453504475/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (.f64 eps (.f64 2 x)) (if (<=.f64 x 8009951384703413/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -2575706453504475/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776) (not (<=.f64 x 8009951384703413/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384))) (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness201.0ms (4%)

Algorithm

2×	egg-herbie

Rules

1752×	`associate-/r*`
1696×	`distribute-lft-out--`
1122×	`distribute-lft-in`
874×	`distribute-rgt-in`
850×	`fma-neg`

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	89	1485
1	230	1283
2	1085	1273
3	5632	1273

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 165 to 64 computations (61.2% saved)

end22.0ms (0.4%)

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

Details

analyze1.0ms (0%)

sample1.9s (36.7%)

preprocess86.0ms (1.7%)

simplify77.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite53.0ms (1%)

simplify75.0ms (1.5%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite75.0ms (1.5%)

simplify95.0ms (1.9%)

eval120.0ms (2.4%)

prune27.0ms (0.5%)

localize62.0ms (1.2%)

series7.0ms (0.1%)

rewrite173.0ms (3.4%)

simplify303.0ms (6%)

localize83.0ms (1.6%)

series2.0ms (0%)

rewrite110.0ms (2.2%)

simplify72.0ms (1.4%)

eval419.0ms (8.3%)

prune249.0ms (4.9%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite82.0ms (1.6%)

simplify64.0ms (1.3%)

localize19.0ms (0.4%)

series2.0ms (0%)

rewrite141.0ms (2.8%)

simplify128.0ms (2.5%)

eval248.0ms (4.9%)

prune82.0ms (1.6%)

regimes21.0ms (0.4%)

regimes19.0ms (0.4%)

bsearch42.0ms (0.8%)

simplify5.0ms (0.1%)

soundness201.0ms (4%)

end22.0ms (0.4%)

Profiling