Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (45.3%)

Results

905.0ms	6130×	body	256	valid
492.0ms	1023×	body	1024	valid
282.0ms	1079×	body	512	valid
9.0ms	24×	body	2048	valid

Bogosity

preprocess62.0ms (1.6%)

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)

simplify93.0ms (2.5%)

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

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (1.4%)

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 (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 20

Calls

Call 1

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

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

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

Counts

21 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	18.3b	(.f64 eps (.f64 2 x))
▶	19.6b	(*.f64 eps eps)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize35.0ms (0.9%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite122.0ms (3.2%)

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))))))

simplify91.0ms (2.4%)

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))

eval155.0ms (4.1%)

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

prune31.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	187	4	191

Error

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.5b	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	18.3b	(.f64 eps (.f64 2 x))
✓	19.6b	(*.f64 eps eps)

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
✓	0.0b	(.f64 4 (.f64 x x))
✓	0.2b	(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps)
✓	9.6b	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series6.0ms (0.2%)

Counts

4 → 84

Calls

21 calls:

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

rewrite125.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	118
1	316	84
2	4557	84

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

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

Outputs
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eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (neg.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 x) x (neg.f64 (.f64 eps eps)))))))

simplify176.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	16370
1	2137	15568

Stop Event

1×	node limit

Counts

364 → 414

Calls

Call 1

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

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

eval288.0ms (7.7%)

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

prune99.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	413	1	414
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	414	4	418

Error

Counts

418 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.6b	(/.f64 (.f64 (.f64 eps (neg.f64 eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	18.3b	(.f64 eps (.f64 2 x))
✓	19.6b	(*.f64 eps eps)

Compiler

Compiled 37 to 24 computations (35.1% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 eps (neg.f64 eps)) eps)
✓	5.6b	(/.f64 (.f64 (.f64 eps (neg.f64 eps)) eps) (-.f64 (*.f64 2 x) eps))

Compiler

Compiled 37 to 15 computations (59.5% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite79.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`associate-*r/`
1082×	`*-commutative`
842×	`associate-*l/`
580×	`associate-/r/`
496×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	262	28
2	3823	28

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 eps 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 eps eps)) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps eps) 0) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 eps 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (pow.f64 eps 3)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 eps 3) (*.f64 eps eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 eps 3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 eps 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 eps 3)))))))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1178×	`associate-/r/`
1134×	`unswap-sqr`
814×	`associate-+r+`
740×	`associate-+l+`
550×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	299	5698
1	859	5148
2	4309	5100

Stop Event

1×	node limit

Counts

152 → 202

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.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 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.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 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))))
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(*.f64 -1 (pow.f64 eps 3))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) (fma.f64 eps 1 eps)))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps)))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) (*.f64 (fma.f64 eps 1 eps) (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps) (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps) (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))))
(+.f64 (.f64 (/.f64 (.f64 eps eps) (fma.f64 2 x eps)) 0) (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))
(+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) eps) (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) (*.f64 2 x)))
(+.f64 (.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) (.f64 2 x)) (*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) eps))
(+.f64 (.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (pow.f64 (.f64 2 x) 2)) (.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (.f64 eps (fma.f64 2 x eps))))
(+.f64 (.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (.f64 eps (fma.f64 2 x eps))) (.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (pow.f64 (.f64 2 x) 2)))
(+.f64 (.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (pow.f64 (fma.f64 2 x eps) 2)) (.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (.f64 eps (.f64 2 x))))
(+.f64 (.f64 0 (/.f64 (.f64 eps eps) (fma.f64 2 x eps))) (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))
(+.f64 (.f64 eps (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))) (.f64 (*.f64 2 x) (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))))
(+.f64 (.f64 (.f64 2 x) (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))) (*.f64 eps (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2))))
(+.f64 (.f64 (pow.f64 (.f64 2 x) 2) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (.f64 (.f64 eps (fma.f64 2 x eps)) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))))
(+.f64 (.f64 (.f64 eps (fma.f64 2 x eps)) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (.f64 (pow.f64 (.f64 2 x) 2) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))))
(+.f64 (.f64 (pow.f64 (fma.f64 2 x eps) 2) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (.f64 (.f64 eps (.f64 2 x)) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))) 1)
(.f64 eps (/.f64 (.f64 eps eps) (fma.f64 2 x eps)))
(*.f64 (pow.f64 eps 3) (/.f64 1 (fma.f64 2 x eps)))
(.f64 (pow.f64 eps 3) (/.f64 1 (-.f64 eps (.f64 2 x))))
(*.f64 (fma.f64 2 x eps) (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)))
(*.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 1)
(*.f64 1 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))
(*.f64 (/.f64 eps (sqrt.f64 (/.f64 (fma.f64 2 x eps) eps))) (/.f64 eps (sqrt.f64 (/.f64 (fma.f64 2 x eps) eps))))
(.f64 (.f64 eps (sqrt.f64 eps)) (/.f64 (*.f64 eps (sqrt.f64 eps)) (fma.f64 2 x eps)))
(*.f64 (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (pow.f64 (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 2))
(.f64 (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))) (/.f64 (.f64 eps eps) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)))
(*.f64 (pow.f64 (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 2) (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (.f64 eps eps) (/.f64 eps (fma.f64 2 x eps)))
(*.f64 (/.f64 1 (fma.f64 2 x eps)) (pow.f64 eps 3))
(.f64 (+.f64 (.f64 eps eps) (.f64 (.f64 2 x) (fma.f64 2 x eps))) (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (*.f64 8 (pow.f64 x 3)))))
(.f64 (/.f64 (.f64 eps (sqrt.f64 eps)) (fma.f64 2 x eps)) (*.f64 eps (sqrt.f64 eps)))
(.f64 (/.f64 (.f64 eps (sqrt.f64 eps)) (fma.f64 2 x eps)) (/.f64 (*.f64 eps (sqrt.f64 eps)) 1))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 2 x eps))) (/.f64 (pow.f64 eps 3) (sqrt.f64 (fma.f64 2 x eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (/.f64 (pow.f64 eps 3) (cbrt.f64 (fma.f64 2 x eps))))
(*.f64 (/.f64 (pow.f64 eps 3) 1) (/.f64 1 (fma.f64 2 x eps)))
(*.f64 (/.f64 (pow.f64 eps 3) (sqrt.f64 (fma.f64 2 x eps))) (/.f64 1 (sqrt.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 eps (fma.f64 2 x eps)) (.f64 eps eps))
(.f64 (/.f64 eps (fma.f64 2 x eps)) (/.f64 (.f64 eps eps) 1))
(.f64 (/.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (/.f64 (.f64 eps eps) (sqrt.f64 (fma.f64 2 x eps))))
(*.f64 (/.f64 (pow.f64 eps 3) (cbrt.f64 (fma.f64 2 x eps))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)))
(.f64 (/.f64 1 (pow.f64 (fma.f64 2 x eps) 2)) (.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))
(.f64 (/.f64 1 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (.f64 (pow.f64 eps 3) (+.f64 (.f64 eps eps) (.f64 (.f64 2 x) (fma.f64 2 x eps)))))
(.f64 (/.f64 (.f64 eps eps) (fma.f64 2 x eps)) eps)
(*.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 2)) (fma.f64 2 x eps))
(.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps))))
(.f64 (/.f64 (pow.f64 eps 3) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (-.f64 (pow.f64 (fma.f64 2 x eps) 2) (.f64 eps (.f64 2 x))))
(.f64 (/.f64 1 (-.f64 eps (.f64 2 x))) (pow.f64 eps 3))
(.f64 (/.f64 (.f64 eps eps) (sqrt.f64 (fma.f64 2 x eps))) (/.f64 eps (sqrt.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (/.f64 (.f64 eps eps) (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 (.f64 eps eps) (cbrt.f64 (fma.f64 2 x eps))) (/.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)))
(.f64 (/.f64 (.f64 eps (sqrt.f64 eps)) 1) (/.f64 (*.f64 eps (sqrt.f64 eps)) (fma.f64 2 x eps)))
(.f64 (/.f64 (.f64 eps (sqrt.f64 eps)) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (/.f64 (*.f64 eps (sqrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 (.f64 eps (sqrt.f64 eps)) (cbrt.f64 (fma.f64 2 x eps))) (/.f64 (*.f64 eps (sqrt.f64 eps)) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)))
(.f64 (/.f64 (.f64 eps eps) 1) (/.f64 eps (fma.f64 2 x eps)))
(.f64 (/.f64 (.f64 eps eps) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))))
(.f64 (/.f64 (.f64 eps eps) (pow.f64 (fma.f64 2 x eps) 2)) (*.f64 eps (fma.f64 2 x eps)))
(.f64 (/.f64 (.f64 eps eps) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (.f64 eps (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps)))))
(*.f64 (/.f64 eps (/.f64 (fma.f64 2 x eps) eps)) eps)
(*.f64 (/.f64 (pow.f64 eps 3) (neg.f64 (pow.f64 (fma.f64 2 x eps) 2))) (fma.f64 2 x eps))
(.f64 (/.f64 (pow.f64 eps 3) (neg.f64 (pow.f64 (fma.f64 2 x eps) 2))) (-.f64 eps (.f64 2 x)))
(.f64 (/.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps))))
(.f64 (/.f64 (pow.f64 eps 3) (neg.f64 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps)))))
(.f64 (/.f64 1 (/.f64 (fma.f64 2 x eps) (.f64 eps eps))) eps)
(.f64 (/.f64 1 (/.f64 (fma.f64 2 x eps) (.f64 eps (sqrt.f64 eps)))) (*.f64 eps (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 eps) 2) 2) (/.f64 (fma.f64 2 x eps) eps)) (pow.f64 (cbrt.f64 eps) 2))
(.f64 (/.f64 (.f64 eps eps) (/.f64 (fma.f64 2 x eps) (sqrt.f64 eps))) (sqrt.f64 eps))
(.f64 (/.f64 (.f64 eps eps) (/.f64 (fma.f64 2 x eps) (pow.f64 (cbrt.f64 eps) 2))) (cbrt.f64 eps))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 3) 1) 1) (/.f64 1 (fma.f64 2 x eps)))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 3) 1) (pow.f64 (fma.f64 2 x eps) 2)) (fma.f64 2 x eps))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) 1) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps))))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) 1) (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3)))) (-.f64 (pow.f64 (fma.f64 2 x eps) 2) (.f64 eps (.f64 2 x))))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) 1) (neg.f64 (pow.f64 (fma.f64 2 x eps) 2))) (-.f64 eps (.f64 2 x)))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) 1) (neg.f64 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps)))))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (sqrt.f64 (fma.f64 2 x eps))) (fma.f64 2 x eps)) (sqrt.f64 (fma.f64 2 x eps)))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps)))))
(*.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps)))))
(pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 1)
(pow.f64 (/.f64 eps (sqrt.f64 (/.f64 (fma.f64 2 x eps) eps))) 2)
(pow.f64 (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 2 x eps) (pow.f64 eps 3)) -1)
(neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (fma.f64 2 x eps) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(exp.f64 (log.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(+.f64 0 (pow.f64 eps 3))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 eps 3)))) 1)
(+.f64 (.f64 0 (.f64 eps eps)) (pow.f64 eps 3))
(+.f64 (.f64 (.f64 eps eps) 0) (pow.f64 eps 3))
(-.f64 0 (pow.f64 eps 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps 3))) 1)
(/.f64 (*.f64 eps (pow.f64 eps 3)) eps)
(/.f64 (.f64 (pow.f64 eps 3) (.f64 eps eps)) (*.f64 eps eps))
(pow.f64 eps 3)
(pow.f64 (pow.f64 eps 3) 1)
(pow.f64 (*.f64 eps (sqrt.f64 eps)) 2)
(pow.f64 (pow.f64 (pow.f64 eps 3) 3) 1/3)
(neg.f64 (pow.f64 eps 3))
(sqrt.f64 (pow.f64 (pow.f64 eps 3) 2))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 eps 3))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 eps 3))))
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(exp.f64 (log.f64 (pow.f64 eps 3)))
(exp.f64 (*.f64 (log.f64 eps) 3))
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))

Outputs
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x))))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(fma.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4)) (fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(fma.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4)) (fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x))))))
(fma.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4)) (fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x)))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 2 eps) x) (*.f64 eps eps))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(fma.f64 4 (.f64 x x) (+.f64 (.f64 (.f64 2 eps) x) (.f64 eps eps)))
(fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps))))
(fma.f64 4 (.f64 x x) (.f64 eps (fma.f64 x 2 eps)))
(+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 4 (.f64 x x) (+.f64 (.f64 (.f64 2 eps) x) (.f64 eps eps))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps)))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 4 (.f64 x x) (.f64 eps (fma.f64 x 2 eps))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 2 eps) x) (*.f64 eps eps))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(fma.f64 4 (.f64 x x) (+.f64 (.f64 (.f64 2 eps) x) (.f64 eps eps)))
(fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps))))
(fma.f64 4 (.f64 x x) (.f64 eps (fma.f64 x 2 eps)))
(+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 4 (.f64 x x) (+.f64 (.f64 (.f64 2 eps) x) (.f64 eps eps))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps)))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 4 (.f64 x x) (.f64 eps (fma.f64 x 2 eps))))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(+.f64 (.f64 (.f64 2 eps) x) (*.f64 eps eps))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (*.f64 eps x))))
(fma.f64 4 (.f64 x x) (+.f64 (.f64 (.f64 2 eps) x) (.f64 eps eps)))
(fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps))))
(fma.f64 4 (.f64 x x) (.f64 eps (fma.f64 x 2 eps)))
(+.f64 (.f64 8 (/.f64 (pow.f64 x 3) eps)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 4 (.f64 x x) (+.f64 (.f64 (.f64 2 eps) x) (.f64 eps eps))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps)))))
(fma.f64 8 (/.f64 (pow.f64 x 3) eps) (fma.f64 4 (.f64 x x) (.f64 eps (fma.f64 x 2 eps))))
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x))))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x))))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(fma.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4)) (fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))))
(fma.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4)) (fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x))))))
(fma.f64 -1/16 (/.f64 (pow.f64 eps 6) (pow.f64 x 4)) (fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x)))))
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x))))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (*.f64 (/.f64 -1/4 x) (/.f64 (pow.f64 eps 4) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)))))
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(/.f64 (*.f64 (cbrt.f64 (fma.f64 x 2 eps)) (pow.f64 eps 3)) (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 4))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (+.f64 (pow.f64 eps 3) (.f64 8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) (fma.f64 2 x eps)))))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (+.f64 (pow.f64 eps 3) (.f64 (pow.f64 x 3) 8)))) (cbrt.f64 (fma.f64 eps eps (.f64 (fma.f64 2 x eps) (.f64 x 2)))))
(.f64 (/.f64 (.f64 eps (pow.f64 (/.f64 eps (cbrt.f64 (fma.f64 x 2 eps))) 2)) (cbrt.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)))) (cbrt.f64 (fma.f64 eps eps (.f64 2 (.f64 x (fma.f64 x 2 eps))))))
(.f64 (/.f64 (/.f64 (pow.f64 eps 3) (cbrt.f64 (fma.f64 (pow.f64 x 3) 8 (pow.f64 eps 3)))) (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2)) (cbrt.f64 (fma.f64 4 (.f64 x x) (*.f64 eps (fma.f64 x 2 eps)))))
(pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 1)
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(pow.f64 (/.f64 eps (sqrt.f64 (/.f64 (fma.f64 2 x eps) eps))) 2)
(pow.f64 (/.f64 eps (sqrt.f64 (/.f64 (fma.f64 x 2 eps) eps))) 2)
(pow.f64 (/.f64 eps (cbrt.f64 (fma.f64 2 x eps))) 3)
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(pow.f64 (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 3) 1/3)
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(pow.f64 (/.f64 (fma.f64 2 x eps) (pow.f64 eps 3)) -1)
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(neg.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))
(/.f64 (neg.f64 (pow.f64 eps 3)) (fma.f64 2 x eps))
(/.f64 (neg.f64 (pow.f64 eps 3)) (fma.f64 x 2 eps))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 2))
(fabs.f64 (/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps)))
(log.f64 (exp.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 3))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (fma.f64 2 x eps) 3)))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(exp.f64 (log.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps))))
(+.f64 (/.f64 (pow.f64 eps 3) (fma.f64 2 x eps)) 0)
(/.f64 (pow.f64 eps 3) (fma.f64 x 2 eps))
(+.f64 0 (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (pow.f64 eps 3)))) 1)
(neg.f64 (pow.f64 eps 3))
(+.f64 (.f64 0 (.f64 eps eps)) (pow.f64 eps 3))
(pow.f64 eps 3)
(+.f64 (.f64 (.f64 eps eps) 0) (pow.f64 eps 3))
(pow.f64 eps 3)
(-.f64 0 (pow.f64 eps 3))
(neg.f64 (pow.f64 eps 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 eps 3))) 1)
(pow.f64 eps 3)
(/.f64 (*.f64 eps (pow.f64 eps 3)) eps)
(/.f64 eps (/.f64 eps (pow.f64 eps 3)))
(/.f64 (pow.f64 eps 4) eps)
(/.f64 (.f64 (pow.f64 eps 3) (.f64 eps eps)) (*.f64 eps eps))
(pow.f64 eps 3)
(pow.f64 eps 3)
(pow.f64 (pow.f64 eps 3) 1)
(pow.f64 eps 3)
(pow.f64 (*.f64 eps (sqrt.f64 eps)) 2)
(pow.f64 (pow.f64 (pow.f64 eps 3) 3) 1/3)
(pow.f64 eps 3)
(neg.f64 (pow.f64 eps 3))
(sqrt.f64 (pow.f64 (pow.f64 eps 3) 2))
(sqrt.f64 (pow.f64 eps 6))
(log.f64 (exp.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)
(log.f64 (/.f64 1 (exp.f64 (pow.f64 eps 3))))
(neg.f64 (pow.f64 eps 3))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 eps 3))))
(pow.f64 eps 3)
(cbrt.f64 (pow.f64 (pow.f64 eps 3) 3))
(pow.f64 eps 3)
(expm1.f64 (log1p.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)
(exp.f64 (log.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)
(exp.f64 (*.f64 (log.f64 eps) 3))
(pow.f64 eps 3)
(log1p.f64 (expm1.f64 (pow.f64 eps 3)))
(pow.f64 eps 3)

eval95.0ms (2.5%)

Compiler: Compiled 3757 to 2457 computations (34.6% saved)

prune67.0ms (1.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	202	0	202
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	202	4	206

Error

Counts

206 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.6b	(/.f64 (.f64 (.f64 eps (neg.f64 eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	18.3b	(.f64 eps (.f64 2 x))
✓	19.6b	(*.f64 eps eps)

Compiler

Compiled 37 to 24 computations (35.1% saved)

regimes41.0ms (1.1%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

33.0ms	x
5.0ms	eps
2.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

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

Compiler

Compiled 80 to 47 computations (41.3% saved)

regimes20.0ms (0.5%)

Accuracy

Total -33.9b remaining (-1080.1%)

Threshold costs -33.9b (-1080.1%)

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:

12.0ms	eps
8.0ms	x

Results

Error	Segments	Branch
3.1b	3	`x`
8.3b	3	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch45.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	5.8940325501498843e-126	1.8652287179758058e-119
21.0ms	-3.9078577060532716e-92	-5.769092880679903e-93

Results

24.0ms	110×	body	512	valid
18.0ms	130×	body	256	valid

Compiler

Compiled 226 to 162 computations (28.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	28	77

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -352281387416075/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 7908005320336203/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))

(*.f64 eps eps)

Outputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) eps))
(if (<=.f64 x -352281387416075/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (.f64 eps (.f64 2 x)) (if (<=.f64 x 7908005320336203/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -352281387416075/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984) (not (<=.f64 x 7908005320336203/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984))) (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 35 to 23 computations (34.3% saved)

soundness118.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 120 to 40 computations (66.7% saved)

end23.0ms (0.6%)

Compiler: Compiled 31 to 17 computations (45.2% saved)

Details

analyze0.0ms (0%)

sample1.7s (45.3%)

preprocess62.0ms (1.6%)

simplify93.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite51.0ms (1.4%)

simplify75.0ms (2%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize35.0ms (0.9%)

series2.0ms (0.1%)

rewrite122.0ms (3.2%)

simplify91.0ms (2.4%)

eval155.0ms (4.1%)

prune31.0ms (0.8%)

localize21.0ms (0.6%)

series6.0ms (0.2%)

rewrite125.0ms (3.3%)

simplify176.0ms (4.7%)

eval288.0ms (7.7%)

prune99.0ms (2.6%)

localize13.0ms (0.4%)

series3.0ms (0.1%)

rewrite79.0ms (2.1%)

simplify87.0ms (2.3%)

eval95.0ms (2.5%)

prune67.0ms (1.8%)

regimes41.0ms (1.1%)

regimes20.0ms (0.5%)

bsearch45.0ms (1.2%)

simplify6.0ms (0.2%)

soundness118.0ms (3.1%)

end23.0ms (0.6%)

Profiling