Details

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (44.1%)

Results

1.1s	6163×	body	256	valid
450.0ms	1008×	body	1024	valid
238.0ms	1058×	body	512	valid
11.0ms	27×	body	2048	valid

Bogosity

preprocess55.0ms (1.3%)

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)

simplify71.0ms (1.7%)

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

Accurracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))
▶	100.0%	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 19 to 12 computations (36.8% saved)

localize6.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify77.0ms (1.9%)

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 (0.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (+.f64 x eps) 2)
✓	95.7%	(-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x))

Compiler

Compiled 25 to 10 computations (60% saved)

series3.0ms (0.1%)

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))

rewrite140.0ms (3.4%)

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)))))))

simplify177.0ms (4.3%)

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 (+.f64 eps x) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 eps 3)))) (neg.f64 (fma.f64 x x (.f64 eps (-.f64 eps x)))))
(/.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)

eval148.0ms (3.6%)

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

prune43.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	299	3	302
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	300	4	304

Accurracy

100.0%

Counts

304 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	100.0%	(*.f64 eps (fma.f64 2 x eps))
▶	62.7%	(.f64 eps (.f64 2 x))
▶	75.7%	(*.f64 eps eps)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize3.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize9.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

Compiler

Compiled 25 to 13 computations (48% saved)

series38.0ms (0.9%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	eps	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	0	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	x	@	inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
0.0ms	eps	@	-inf	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))

rewrite73.0ms (1.8%)

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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simplify95.0ms (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))

eval106.0ms (2.5%)

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

prune26.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Accurracy

100.0%

Counts

191 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.9%	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	62.7%	(.f64 eps (.f64 2 x))
✓	75.7%	(*.f64 eps eps)

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize20.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
✓	100.0%	(.f64 4 (.f64 x x))
✓	99.8%	(.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps)
✓	83.9%	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))

Compiler

Compiled 62 to 28 computations (54.8% saved)

series6.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

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

rewrite122.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 280

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x 2 eps) eps) (.f64 (/.f64 1 (-.f64 (.f64 x 2) eps)) (.f64 eps (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 x 2 eps) eps) (.f64 (/.f64 1 (-.f64 (.f64 x 2) eps)) (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 (.f64 x 2) eps)) (.f64 (.f64 4 (.f64 x x)) eps)) (.f64 (/.f64 1 (-.f64 (.f64 x 2) eps)) (.f64 (neg.f64 (.f64 eps eps)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 (-.f64 (.f64 x 2) eps)) (.f64 eps (.f64 4 (.f64 x x)))) (.f64 (/.f64 1 (-.f64 (.f64 x 2) eps)) (.f64 eps (neg.f64 (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) eps) (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (.f64 x 2)) (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (.f64 4 (.f64 x x))) (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (.f64 eps (fma.f64 x 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (.f64 eps (fma.f64 x 2 eps))) (.f64 (/.f64 (.f64 eps (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (-.f64 (.f64 8 (pow.f64 x 3)) (pow.f64 eps 3))) (.f64 4 (.f64 x x))))))) (#(struct:change 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log1p.f64 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x x) (neg.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 4 (neg.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x 2) (.f64 x 2) (neg.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 4 (.f64 x x)) (neg.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (neg.f64 (.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 x) x (neg.f64 (.f64 eps eps)))))))

simplify229.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	674	16370
1	2137	15568

Stop Event

1×	node limit

Counts

364 → 414

Calls

Call 1

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

Outputs
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 2 x))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 x 2 eps))
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(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 3) (pow.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 3) (pow.f64 (.f64 eps (.f64 0 eps)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2) (.f64 (.f64 eps (.f64 0 eps)) (+.f64 (.f64 eps (.f64 0 eps)) (+.f64 (.f64 eps eps) (.f64 (.f64 x x) -4))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 3) (pow.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) 3)) (.f64 1 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 3) (pow.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2) (.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (fma.f64 (neg.f64 eps) eps (.f64 eps eps)) (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 3) (pow.f64 (.f64 eps (.f64 0 eps)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2) (.f64 (.f64 eps (.f64 0 eps)) (+.f64 (.f64 eps (.f64 0 eps)) (+.f64 (.f64 eps eps) (.f64 (.f64 x x) -4))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 16) 3) (pow.f64 (pow.f64 eps 4) 3)) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (.f64 (.f64 (pow.f64 x 4) 16) (.f64 (pow.f64 x 4) 16)) (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 eps 4)) (.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) 4096) (pow.f64 (pow.f64 eps 4) 3)) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (.f64 (.f64 (pow.f64 x 4) (pow.f64 x 4)) 256) (+.f64 (pow.f64 eps 8) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) 16))))))
(/.f64 (-.f64 (.f64 4096 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (pow.f64 eps 4) 3)) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 eps 8) (+.f64 (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) 16)) (.f64 (pow.f64 x 4) (.f64 (pow.f64 x 4) 256))))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) 3) (pow.f64 (pow.f64 eps 6) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (.f64 (pow.f64 (.f64 x x) 3) 64)) (+.f64 (.f64 (pow.f64 eps 6) (pow.f64 eps 6)) (.f64 (.f64 (pow.f64 (*.f64 x x) 3) 64) (pow.f64 eps 6))))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) 262144) (pow.f64 (pow.f64 eps 6) 3)) (.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3)) 4096) (.f64 (pow.f64 eps 6) (fma.f64 (pow.f64 (*.f64 x x) 3) 64 (pow.f64 eps 6))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 x x) 3) 3) 262144) (pow.f64 (pow.f64 eps 6) 3)) (fma.f64 (pow.f64 x 4) 16 (.f64 eps (.f64 eps (fma.f64 4 (.f64 x x) (.f64 eps eps)))))) (+.f64 (.f64 (pow.f64 (.f64 x x) 3) (.f64 (pow.f64 (.f64 x x) 3) 4096)) (.f64 (pow.f64 eps 6) (fma.f64 (pow.f64 (.f64 x x) 3) 64 (pow.f64 eps 6)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -16) (pow.f64 eps 4)) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (.f64 1 (neg.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 4) 16) (pow.f64 eps 4))) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) -16) (pow.f64 eps 4)) (neg.f64 (fma.f64 4 (.f64 x x) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 64 (neg.f64 (pow.f64 eps 6)))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 eps (.f64 eps (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (.f64 1 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 16) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 64 (neg.f64 (pow.f64 eps 6)))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 x x) 3) 64) (pow.f64 eps 6))) (neg.f64 (fma.f64 (pow.f64 x 4) 16 (.f64 eps (.f64 eps (fma.f64 4 (.f64 x x) (.f64 eps eps)))))))
(pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 1)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(pow.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))) 2)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(pow.f64 (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))) 3)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(pow.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 3) 1/3)
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(sqrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps)) 2))
(log.f64 (exp.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps)) 3))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(expm1.f64 (log1p.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(exp.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) 1))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(log1p.f64 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 4 (.f64 x x) (neg.f64 (.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 (.f64 x x) 4 (neg.f64 (.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 (.f64 x 2) (.f64 x 2) (neg.f64 (*.f64 eps eps)))
(+.f64 (pow.f64 (.f64 2 x) 2) (.f64 eps (neg.f64 eps)))
(+.f64 (.f64 eps (neg.f64 eps)) (pow.f64 (.f64 2 x) 2))
(fma.f64 1 (.f64 4 (.f64 x x)) (neg.f64 (*.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 1 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) (fma.f64 (neg.f64 eps) eps (.f64 eps eps)))
(-.f64 (fma.f64 4 (.f64 x x) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (*.f64 eps eps))
(-.f64 (fma.f64 4 (.f64 x x) (.f64 eps (.f64 0 eps))) (.f64 eps eps))
(fma.f64 (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))
(-.f64 (fma.f64 4 (.f64 x x) (fma.f64 (neg.f64 eps) eps (.f64 eps eps))) (*.f64 eps eps))
(-.f64 (fma.f64 4 (.f64 x x) (.f64 eps (.f64 0 eps))) (.f64 eps eps))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2)) (cbrt.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps))) (.f64 eps (.f64 0 eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (neg.f64 (.f64 eps eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 4 (.f64 x x))) (.f64 eps (neg.f64 eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (cbrt.f64 (.f64 x (.f64 x 4))) (.f64 eps (neg.f64 eps)))
(fma.f64 (.f64 4 x) x (neg.f64 (.f64 eps eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))

eval347.0ms (8.4%)

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

prune121.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Accurracy

100.0%

Counts

418 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.9%	(/.f64 (.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) eps) (-.f64 (*.f64 2 x) eps))
✓	100.0%	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	62.7%	(.f64 eps (.f64 2 x))
✓	75.7%	(*.f64 eps eps)

Compiler

Compiled 42 to 27 computations (35.7% saved)

regimes16.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
5.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))`

Compiler

Compiled 77 to 43 computations (44.2% saved)

regimes63.0ms (1.5%)

Accuracy

Total -34.6b remaining (-917.7%)

Threshold costs -34.60b (-917.7%)

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:

50.0ms	eps
12.0ms	x

Results

Accuracy	Segments	Branch
94.1%	3	`x`
87.5%	3	`eps`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch66.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	5.846491150377551e-142	1.982716140325658e-139
23.0ms	-1.8467508225816032e-85	-1.1472596775519598e-89

Results

49.0ms	193×	body	256	valid
13.0ms	63×	body	512	valid

Compiler

Compiled 240 to 172 computations (28.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	77
1	28	77

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 552401686713635/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))

(*.f64 eps eps)

Outputs
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(+.f64 (.f64 eps eps) (.f64 (*.f64 2 x) eps))
(if (<=.f64 x -7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 eps (.f64 2 x)) (if (<=.f64 x 552401686713635/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -7740557828966491/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (not (<=.f64 x 552401686713635/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384))) (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 35 to 23 computations (34.3% saved)

soundness134.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 120 to 40 computations (66.7% saved)

end51.0ms (1.2%)

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

Details

analyze1.0ms (0%)

sample1.8s (44.1%)

preprocess55.0ms (1.3%)

simplify71.0ms (1.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series3.0ms (0.1%)

rewrite56.0ms (1.4%)

simplify77.0ms (1.9%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite140.0ms (3.4%)

simplify177.0ms (4.3%)

eval148.0ms (3.6%)

prune43.0ms (1%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series38.0ms (0.9%)

rewrite73.0ms (1.8%)

simplify95.0ms (2.3%)

eval106.0ms (2.5%)

prune26.0ms (0.6%)

localize20.0ms (0.5%)

series6.0ms (0.1%)

rewrite122.0ms (2.9%)

simplify229.0ms (5.5%)

eval347.0ms (8.4%)

prune121.0ms (2.9%)

regimes16.0ms (0.4%)

regimes63.0ms (1.5%)

bsearch66.0ms (1.6%)

simplify5.0ms (0.1%)

soundness134.0ms (3.2%)

end51.0ms (1.2%)

Profiling