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)

sample1.9s (30.7%)

Results

1.0s	6131×	body	256	valid
478.0ms	1048×	body	1024	valid
305.0ms	1057×	body	512	valid
8.0ms	20×	body	2048	valid

Bogosity

preprocess52.0ms (0.9%)

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)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.6b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	0.0b	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite121.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify74.0ms (1.2%)

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))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (+.f64 x eps) 2)
✓	3.3b	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite150.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`*-commutative`
842×	`associate-*r/`
794×	`unswap-sqr`
658×	`associate-*l/`
618×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	206	38
2	2835	38

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

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

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

simplify147.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

766×	`associate-/l*`
766×	`associate-+l-`
668×	`associate-+r-`
604×	`associate-l`
594×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	480	11445
1	1434	10689
2	7085	10689

Stop Event

1×	node limit

Counts

231 → 282

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

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

eval171.0ms (2.8%)

Compiler: Compiled 7752 to 3323 computations (57.1% saved)

prune97.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	295	7	302
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	296	8	304

Error

Counts

304 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)
▶	20.0b	(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))
	26.6b	(-.f64 (/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 x eps)) (-.f64 eps x)) (.f64 x x))
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	17.5b	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	21.4b	(.f64 eps (.f64 2 x))
▶	19.4b	(*.f64 eps eps)

Compiler

Compiled 174 to 101 computations (42% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (1.2%)

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 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(pow.f64 (*.f64 2 (*.f64 x eps)) 2) (pow.f64 eps 4))) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (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 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simplify141.0ms (2.3%)

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

localize3.0ms (0%)

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

localize37.0ms (0.6%)

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
✓	0.0b	(+.f64 x (+.f64 x eps))
✓	4.9b	(+.f64 x (-.f64 eps x))

Compiler

Compiled 31 to 7 computations (77.4% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite136.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`associate-/r*`
588×	`associate-/r/`
560×	`associate-+l+`
536×	`associate-/l*`
418×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	57
1	224	57
2	3724	57

Stop Event

1×	node limit

Counts

3 → 308

Calls

Call 1

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

Outputs

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

simplify173.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1312×	`associate-r`
1290×	`associate-/l*`
1144×	`associate-l`
852×	`associate-/r*`
664×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	17382
1	2311	17160

Stop Event

1×	node limit

Counts

380 → 520

Calls

Call 1

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

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

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x eps))
✓	0.2b	(/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps)))
✓	5.5b	(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))

Compiler

Compiled 38 to 14 computations (63.2% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite110.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1130×	`associate-/r*`
1038×	`*-commutative`
936×	`associate-/l*`
728×	`distribute-lft-in`
712×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	75
1	228	51
2	3431	51

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

Inputs
(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))
(/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps)))
(/.f64 1 (+.f64 x eps))

Outputs

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

simplify182.0ms (3%)

Algorithm

1×	egg-herbie

Rules

940×	`fma-def`
852×	`associate-+l-`
796×	`associate-+r-`
652×	`associate-r`
574×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	11189
1	1611	10291
2	7394	10291

Stop Event

1×	node limit

Counts

267 → 328

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

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

eval393.0ms (6.5%)

Compiler: Compiled 28168 to 11516 computations (59.1% saved)

prune632.0ms (10.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1033	2	1035
Fresh	2	0	2
Picked	0	1	1
Done	2	3	5
Total	1037	6	1043

Error

Counts

1043 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	17.5b	(.f64 (+.f64 x (-.f64 eps x)) (+.f64 (.f64 2 x) eps))
▶	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	21.4b	(.f64 eps (.f64 2 x))
✓	19.4b	(*.f64 eps eps)

Compiler

Compiled 60 to 36 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`associate-*r/`
946×	`associate-*l/`
906×	`*-commutative`
906×	`distribute-lft-in`
824×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	165	19
2	2524	19

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-/r*`
958×	`*-commutative`
952×	`fma-def`
936×	`+-commutative`
558×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	185	3163
1	548	2375
2	2433	2349
3	7920	2349

Stop Event

1×	node limit

Counts

83 → 92

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 x (-.f64 eps x)) (+.f64 (.f64 2 x) eps))
	4.9b	(+.f64 x (-.f64 eps x))

Compiler

Compiled 32 to 14 computations (56.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite82.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`distribute-rgt-in`
1804×	`distribute-lft-in`
528×	`associate-/r*`
362×	`associate-/l*`
338×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	239	27
2	3627	27

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

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

Outputs

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

simplify141.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-/l*`
944×	`associate-/r*`
808×	`associate-/l/`
654×	`associate-*r/`
544×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	8851
1	925	7063
2	3463	7057

Stop Event

1×	node limit

Counts

147 → 168

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

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

eval369.0ms (6.1%)

Compiler: Compiled 15409 to 5969 computations (61.3% saved)

prune189.0ms (3.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	604	1	605
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	605	6	611

Error

Counts

611 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
▶	0.0b	(.f64 eps (+.f64 (.f64 2 x) eps))
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	21.4b	(.f64 eps (.f64 2 x))
✓	19.4b	(*.f64 eps eps)

Compiler

Compiled 56 to 34 computations (39.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1722×	`add-cube-cbrt`
1700×	`add-cbrt-cube`
176×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	175	15
2	2286	15

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1704×	`associate-/r*`
716×	`associate-+r+`
638×	`associate-+l+`
512×	`associate-*r/`
464×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1118
1	252	864
2	933	840
3	3180	840

Stop Event

1×	node limit

Counts

48 → 39

Calls

Call 1

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

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

eval12.0ms (0.2%)

Compiler: Compiled 570 to 313 computations (45.1% saved)

prune6.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	39	6	45

Error

Counts

45 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.0b	(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(.f64 eps (+.f64 (.f64 2 x) eps))
✓	0.0b	(*.f64 eps (+.f64 x (+.f64 x eps)))
✓	21.4b	(.f64 eps (.f64 2 x))
✓	19.4b	(*.f64 eps eps)

Compiler

Compiled 56 to 34 computations (39.3% saved)

regimes25.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(.f64 eps (+.f64 (.f64 2 x) eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 x eps)))
(.f64 (+.f64 x (-.f64 eps x)) (+.f64 (.f64 2 x) eps))
(-.f64 (/.f64 (+.f64 x eps) (/.f64 1 (+.f64 x eps))) (*.f64 x x))
(-.f64 (/.f64 (.f64 (-.f64 (.f64 eps eps) (.f64 x x)) (+.f64 x eps)) (-.f64 eps x)) (.f64 x x))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 137 to 62 computations (54.7% saved)

regimes8.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
3.0ms	x

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes31.0ms (0.5%)

Accuracy

Total -33.9b remaining (-619.6%)

Threshold costs -33.9b (-619.6%)

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:

16.0ms	x
14.0ms	eps

Results

Error	Segments	Branch
5.5b	3	`x`
7.3b	5	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.2254962292363289e-126	2.8044291714996713e-121
18.0ms	-4.128747315718086e-101	-5.057919790969075e-102

Results

18.0ms	142×	body	256	valid
17.0ms	98×	body	512	valid

Compiler

Compiled 226 to 162 computations (28.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	90
1	34	90

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 eps (+.f64 (.f64 2 x) eps))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(if (<=.f64 x -1733688272641357/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 eps (.f64 2 x)) (if (<=.f64 x 3081796191013373/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(*.f64 eps eps)

Outputs
(.f64 eps (+.f64 (.f64 2 x) eps))
(.f64 eps (+.f64 eps (.f64 2 x)))
(*.f64 eps (+.f64 x (+.f64 x eps)))
(*.f64 eps (+.f64 x (+.f64 eps x)))
(if (<=.f64 x -1733688272641357/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 eps (.f64 2 x)) (if (<=.f64 x 3081796191013373/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -1733688272641357/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (not (<=.f64 x 3081796191013373/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496))) (.f64 eps (.f64 2 x)) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 42 to 27 computations (35.7% saved)

soundness108.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 20 to 12 computations (40% saved)

end26.0ms (0.4%)

Compiler: Compiled 36 to 20 computations (44.4% saved)

Details

analyze0.0ms (0%)

sample1.9s (30.7%)

preprocess52.0ms (0.9%)

simplify79.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0%)

rewrite121.0ms (2%)

simplify74.0ms (1.2%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite150.0ms (2.5%)

simplify147.0ms (2.4%)

eval171.0ms (2.8%)

prune97.0ms (1.6%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite72.0ms (1.2%)

simplify141.0ms (2.3%)

localize3.0ms (0%)

localize37.0ms (0.6%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite136.0ms (2.3%)

simplify173.0ms (2.9%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite110.0ms (1.8%)

simplify182.0ms (3%)

eval393.0ms (6.5%)

prune632.0ms (10.5%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite76.0ms (1.3%)

simplify88.0ms (1.5%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite82.0ms (1.4%)

simplify141.0ms (2.3%)

eval369.0ms (6.1%)

prune189.0ms (3.1%)

localize8.0ms (0.1%)

series0.0ms (0%)

rewrite72.0ms (1.2%)

simplify53.0ms (0.9%)

eval12.0ms (0.2%)

prune6.0ms (0.1%)

regimes25.0ms (0.4%)

regimes8.0ms (0.1%)

regimes31.0ms (0.5%)

bsearch38.0ms (0.6%)

simplify5.0ms (0.1%)

soundness108.0ms (1.8%)

end26.0ms (0.4%)

Profiling