Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.8s (36.3%)

Results

1.2s	6183×	body	256	valid
340.0ms	985×	body	1024	valid
272.0ms	1067×	body	512	valid
10.0ms	21×	body	2048	valid

Bogosity

preprocess44.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1516×	`associate-+l-`
1070×	`distribute-lft-out`
1060×	`associate-+r-`
976×	`distribute-lft-neg-in`
870×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	31	50
2	106	50
3	260	50
4	971	38
5	3882	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 8 computations (46.7% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

Outputs

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

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 20

Calls

Call 1

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

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

eval3.0ms (0.1%)

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

prune5.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	16	4	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	5	21

Error

Counts

21 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	0.0b	(*.f64 eps (fma.f64 2 x eps))
▶	23.4b	(.f64 eps (.f64 2 x))
▶	18.0b	(*.f64 eps eps)
▶	26.6b	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 eps (fma.f64 2 x eps))
✓	0.2b	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
✓	26.6b	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
0.0ms	x	@	-inf	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
0.0ms	eps	@	0	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
0.0ms	x	@	0	(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1956×	`*-un-lft-identity`
1832×	`add-cube-cbrt`
1814×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	246	36
2	2608	36

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)

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 (exp.f64 (log1p.f64 (.f64 eps (fma.f64 2 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 (fma.f64 2 x eps) 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 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x eps)) 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 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x eps)) 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 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 eps eps)) (.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (.f64 eps eps))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) 1/3) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2) 1/3))))) (#(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 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3) 1/3)))) (#(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 sqrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 eps (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (.f64 (.f64 3 (log.f64 (.f64 eps (fma.f64 2 x eps)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 2 x eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 eps (.f64 (fma.f64 2 x eps) (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2 x eps) (.f64 eps (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 eps (fma.f64 2 x eps)) (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2) (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.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) (.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) eps) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (fma.f64 2 x eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) 1) (.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (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 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2)) (cbrt.f64 (.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 3) (pow.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) 3) (.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (.f64 eps (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 eps (fma.f64 2 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (fma.f64 2 x eps) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 x eps) (*.f64 eps (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (fma.f64 2 x eps)) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (*.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.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) (*.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) eps) (fma.f64 2 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) (fma.f64 2 x eps)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) 1) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) (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 (*.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3) (pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))) 2) 3) (*.f64 eps (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))))))

simplify118.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1278×	`fma-def`
1168×	`distribute-lft-in`
1118×	`distribute-rgt-in`
900×	`*-commutative`
562×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2803
1	542	2767
2	2045	2707
3	7352	2707

Stop Event

1×	node limit

Counts

109 → 109

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

Outputs
(.f64 2 (.f64 eps 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))
(.f64 -1 (.f64 (pow.f64 eps 2) (cbrt.f64 -1)))
(neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1)))
(.f64 (.f64 eps eps) (neg.f64 (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (.f64 eps (neg.f64 eps)))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(fma.f64 -2 (.f64 eps (.f64 x (cbrt.f64 -1))) (neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1))))
(-.f64 (.f64 -2 (.f64 (.f64 eps x) (cbrt.f64 -1))) (.f64 (*.f64 eps eps) (cbrt.f64 -1)))
(.f64 (.f64 eps (cbrt.f64 -1)) (-.f64 (*.f64 x -2) eps))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(fma.f64 -2 (.f64 eps (.f64 x (cbrt.f64 -1))) (neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1))))
(-.f64 (.f64 -2 (.f64 (.f64 eps x) (cbrt.f64 -1))) (.f64 (*.f64 eps eps) (cbrt.f64 -1)))
(.f64 (.f64 eps (cbrt.f64 -1)) (-.f64 (*.f64 x -2) eps))
(+.f64 (.f64 -2 (.f64 eps (.f64 (cbrt.f64 -1) x))) (.f64 -1 (*.f64 (pow.f64 eps 2) (cbrt.f64 -1))))
(fma.f64 -2 (.f64 eps (.f64 x (cbrt.f64 -1))) (neg.f64 (.f64 (.f64 eps eps) (cbrt.f64 -1))))
(-.f64 (.f64 -2 (.f64 (.f64 eps x) (cbrt.f64 -1))) (.f64 (*.f64 eps eps) (cbrt.f64 -1)))
(.f64 (.f64 eps (cbrt.f64 -1)) (-.f64 (*.f64 x -2) eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 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 (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 (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 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 8 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) 12)))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (.f64 8 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 (pow.f64 eps 5) 6) (.f64 x (*.f64 (pow.f64 eps 4) 12)))))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2)))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12)) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6))))
(pow.f64 eps 6)
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (*.f64 4 x))) (pow.f64 eps 6))
(fma.f64 (pow.f64 eps 5) (*.f64 x 6) (pow.f64 eps 6))
(fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2))))))
(+.f64 (fma.f64 (pow.f64 eps 5) (.f64 x 6) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 eps 4) 12) (fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6)))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 x x) (*.f64 (pow.f64 eps 4) 12) (pow.f64 eps 6)))
(+.f64 (.f64 (pow.f64 eps 5) (+.f64 (.f64 2 x) (.f64 4 x))) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (.f64 8 (pow.f64 x 2)))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12)) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6))))
(pow.f64 eps 6)
(+.f64 (pow.f64 eps 6) (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))))
(fma.f64 (pow.f64 eps 5) (*.f64 x 6) (pow.f64 eps 6))
(fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6))
(+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2))))))
(+.f64 (fma.f64 (pow.f64 eps 5) (.f64 x 6) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 eps 4) 12) (fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6)))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 x x) (*.f64 (pow.f64 eps 4) 12) (pow.f64 eps 6)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (pow.f64 eps 5) (+.f64 (.f64 -2 x) (.f64 -4 x)))) (.f64 (pow.f64 eps 4) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 8 (pow.f64 x 2)))))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12)) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6))))
(pow.f64 eps 6)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (*.f64 4 (pow.f64 eps 5))) x) (pow.f64 eps 6))
(fma.f64 (pow.f64 eps 5) (*.f64 x 6) (pow.f64 eps 6))
(fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 eps 4)) (.f64 8 (pow.f64 eps 4))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (pow.f64 eps 6)))
(+.f64 (fma.f64 (pow.f64 eps 5) (.f64 x 6) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 eps 4) 12) (fma.f64 x (*.f64 (pow.f64 eps 5) 6) (pow.f64 eps 6)))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (.f64 x x) (*.f64 (pow.f64 eps 4) 12) (pow.f64 eps 6)))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 eps 4)) (.f64 8 (pow.f64 eps 4))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (pow.f64 eps 6))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12)) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6))))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 8 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) 12)))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (.f64 4 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (.f64 8 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 (pow.f64 eps 5) 6) (.f64 x (*.f64 (pow.f64 eps 4) 12)))))
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 eps 5)) (.f64 4 (pow.f64 eps 5))) x) (+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12)) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6))))
(.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (.f64 x x) 12)))
(fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))))
(.f64 (.f64 x x) (+.f64 (.f64 x (.f64 8 (pow.f64 eps 3))) (*.f64 (pow.f64 eps 4) 12)))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (pow.f64 eps 5)) (.f64 -4 (pow.f64 eps 5))) x)) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (.f64 8 (*.f64 (pow.f64 eps 3) (pow.f64 x 3)))))
(fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (.f64 x (+.f64 (.f64 (pow.f64 eps 5) 6) (.f64 x (*.f64 (pow.f64 eps 4) 12)))))
(+.f64 (.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3))) (+.f64 (pow.f64 eps 6) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2 (pow.f64 eps 5)) (.f64 -4 (pow.f64 eps 5))) x)) (.f64 (+.f64 (.f64 8 (pow.f64 eps 4)) (*.f64 4 (pow.f64 eps 4))) (pow.f64 x 2)))))
(fma.f64 (pow.f64 eps 5) (.f64 x 6) (+.f64 (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6)) (.f64 (pow.f64 eps 4) (.f64 (*.f64 x x) 12))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (fma.f64 (pow.f64 eps 4) (.f64 x (.f64 x 12)) (pow.f64 eps 6))))
(fma.f64 x (.f64 (pow.f64 eps 5) 6) (fma.f64 x (.f64 x (.f64 (pow.f64 eps 4) 12)) (fma.f64 8 (.f64 (pow.f64 eps 3) (pow.f64 x 3)) (pow.f64 eps 6))))
(+.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 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 2 x eps)))) 1)
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 (fma.f64 2 x eps) eps)
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (fma.f64 2 x eps)) 1)
(*.f64 eps (fma.f64 2 x eps))
(.f64 1 (.f64 eps (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 (fma.f64 2 x eps)) (.f64 (sqrt.f64 (fma.f64 2 x 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))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2) (.f64 (cbrt.f64 (fma.f64 2 x 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))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) 1/3))
(*.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))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (cbrt.f64 eps) (fma.f64 2 x eps)))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (fma.f64 2 x eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)))
(.f64 (.f64 eps (sqrt.f64 (fma.f64 2 x eps))) (sqrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 eps (pow.f64 (cbrt.f64 (fma.f64 2 x eps)) 2)) (cbrt.f64 (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (fma.f64 2 x eps) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (.f64 (fma.f64 2 x eps) (cbrt.f64 (*.f64 eps eps))) (cbrt.f64 eps))
(.f64 (cbrt.f64 (.f64 eps eps)) (*.f64 (fma.f64 2 x eps) (cbrt.f64 eps)))
(.f64 (fma.f64 2 x eps) (.f64 (cbrt.f64 (*.f64 eps eps)) (cbrt.f64 eps)))
(.f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) 1/3) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 1 1/3) (.f64 eps (fma.f64 2 x eps)))
(*.f64 eps (fma.f64 2 x eps))
(.f64 (pow.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 1)
(*.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))
(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))
(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))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (fma.f64 2 x eps)))))
(*.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))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1/3))
(*.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))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 eps (.f64 (fma.f64 2 x eps) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (fma.f64 2 x eps) (.f64 eps (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (.f64 eps (fma.f64 2 x eps)) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3) 1)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 1 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 3/2) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3/2))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) (.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (fma.f64 2 x eps) 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(*.f64 (pow.f64 (fma.f64 2 x eps) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) eps) (fma.f64 2 x eps))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 2) (fma.f64 2 x eps)) eps)
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) 1) (.f64 eps (fma.f64 2 x eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (sqrt.f64 (.f64 eps (fma.f64 2 x eps)))) (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (.f64 (pow.f64 (.f64 eps (fma.f64 2 x eps)) 2) (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2)) (cbrt.f64 (*.f64 eps (fma.f64 2 x eps))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 eps (fma.f64 2 x eps))) 3) (pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 2 x eps))) 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 2 x eps))) 2) 3) (*.f64 eps (fma.f64 2 x eps)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 6))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3) 3))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 eps (fma.f64 2 x eps)))))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 eps (fma.f64 2 x eps)))) 1))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)))
(pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3)

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 error

Found 1 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite114.0ms (2.3%)

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

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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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 2 x) eps) 2) (pow.f64 eps 4)) (*.f64 eps (neg.f64 (-.f64 (*.f64 2 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 2 x) eps) 3) (pow.f64 eps 6)) (neg.f64 (+.f64 (pow.f64 eps 4) (*.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps (-.f64 (*.f64 2 x) eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (fma.f64 2 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 x eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 x) eps (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps (*.f64 2 x) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 eps eps (*.f64 (*.f64 2 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 2 x) eps) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 eps eps) (*.f64 (*.f64 2 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 2 x) eps)) (sqrt.f64 (*.f64 (*.f64 2 x) eps)) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 4) (pow.f64 (cbrt.f64 eps) 2) (*.f64 (*.f64 2 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 2 x) eps)) 2) (cbrt.f64 (*.f64 (*.f64 2 x) eps)) (*.f64 eps eps))))))

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1716×	`distribute-lft-in`
1612×	`associate-*r/`
1398×	`associate-*l/`
728×	`associate-/l/`
674×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	306	6845
1	908	6269
2	3904	6269

Stop Event

1×	node limit

Counts

129 → 177

Calls

Call 1

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

eval210.0ms (4.2%)

Compiler: Compiled 7335 to 4904 computations (33.1% saved)

prune133.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	305	1	306
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	307	4	311

Error

Counts

311 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	23.4b	(.f64 eps (.f64 2 x))
✓	18.0b	(*.f64 eps eps)

Compiler

Compiled 42 to 27 computations (35.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
✓	0.0b	(.f64 4 (.f64 x x))
✓	0.2b	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
✓	11.9b	(/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))

Compiler

Compiled 66 to 31 computations (53% saved)

series21.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))
1.0ms	eps	@	0	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
1.0ms	x	@	0	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
1.0ms	x	@	inf	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
0.0ms	eps	@	-inf	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))

rewrite126.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`distribute-lft-in`
1282×	`associate-/l/`
356×	`associate-+l+`
334×	`add-sqr-sqrt`
328×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	130
1	324	68
2	4905	68

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

Outputs
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(expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 x) (.f64 2 x) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (.f64 x x) (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 4 (.f64 eps (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 4 (.f64 x x)) (.f64 eps (neg.f64 eps)))))) (#(struct:change 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simplify168.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1292×	`fma-def`
1074×	`associate-r`
746×	`associate-l`
734×	`*-commutative`
582×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	687	17194
1	2070	15694

Stop Event

1×	node limit

Counts

372 → 406

Calls

Call 1

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

Outputs
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (.f64 -2 (/.f64 x (.f64 eps eps))))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (.f64 -2 (/.f64 x (*.f64 eps eps)))))
(+.f64 (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 1 eps)) (/.f64 4 (/.f64 (pow.f64 eps 3) (.f64 x x))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (.f64 -2 (/.f64 x (*.f64 eps eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (/.f64 (.f64 -2 x) (*.f64 eps eps)))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x))))
(/.f64 1/2 x)
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (/.f64 1/2 x))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x)))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x)))
(+.f64 (.f64 -1/4 (/.f64 eps (pow.f64 x 2))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 eps 2) (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1/4 (/.f64 eps (.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 (.f64 eps eps) (pow.f64 x 3)) (/.f64 1/2 x))))
(fma.f64 -1/4 (/.f64 eps (*.f64 x x)) (fma.f64 -1/16 (/.f64 (pow.f64 eps 3) (pow.f64 x 4)) (fma.f64 1/8 (/.f64 eps (/.f64 (pow.f64 x 3) eps)) (/.f64 1/2 x))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (.f64 -2 (/.f64 x (.f64 eps eps))))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (.f64 -2 (/.f64 x (*.f64 eps eps)))))
(+.f64 (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 1 eps)) (/.f64 4 (/.f64 (pow.f64 eps 3) (.f64 x x))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (.f64 -2 (/.f64 x (*.f64 eps eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (/.f64 (.f64 -2 x) (*.f64 eps eps)))))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (.f64 -2 (/.f64 x (.f64 eps eps))))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (.f64 -2 (/.f64 x (pow.f64 eps 2)))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (.f64 -2 (/.f64 x (*.f64 eps eps)))))
(+.f64 (fma.f64 -2 (/.f64 x (.f64 eps eps)) (/.f64 1 eps)) (/.f64 4 (/.f64 (pow.f64 eps 3) (.f64 x x))))
(+.f64 (/.f64 1 eps) (+.f64 (.f64 4 (/.f64 (pow.f64 x 2) (pow.f64 eps 3))) (+.f64 (.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4))) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (.f64 -2 (/.f64 x (*.f64 eps eps))))))
(+.f64 (/.f64 1 eps) (fma.f64 4 (/.f64 (.f64 x x) (pow.f64 eps 3)) (fma.f64 -8 (/.f64 (pow.f64 x 3) (pow.f64 eps 4)) (/.f64 (.f64 -2 x) (*.f64 eps eps)))))
(.f64 2 (.f64 eps x))
(.f64 eps (.f64 x 2))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 x 2 eps))
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 x 2 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (.f64 2 (.f64 eps x)))
(*.f64 eps (fma.f64 2 x eps))
(*.f64 eps (fma.f64 x 2 eps))
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(/.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 4 (.f64 x x)) (fma.f64 eps eps (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2) (.f64 (.f64 eps (.f64 0 eps)) (.f64 eps (.f64 0 eps)))) (-.f64 (fma.f64 4 (.f64 x x) (.f64 eps (.f64 0 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 4 (.f64 x x)) (+.f64 (.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 (.f64 4 (.f64 x x)) (fma.f64 eps eps (fma.f64 (neg.f64 eps) eps (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2) (.f64 (.f64 eps (.f64 0 eps)) (.f64 eps (.f64 0 eps)))) (-.f64 (fma.f64 4 (.f64 x x) (.f64 eps (.f64 0 eps))) (.f64 eps eps)))
(/.f64 (-.f64 (.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (.f64 64 (pow.f64 (.f64 x x) 3))) (.f64 (pow.f64 eps 6) (pow.f64 eps 6))) (.f64 (+.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (+.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (pow.f64 eps 6))))
(/.f64 (-.f64 (.f64 4096 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3))) (pow.f64 eps 12)) (.f64 (fma.f64 16 (pow.f64 x 4) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (fma.f64 64 (pow.f64 (.f64 x x) 3) (pow.f64 eps 6))))
(/.f64 (-.f64 (.f64 4096 (pow.f64 (.f64 x x) 6)) (pow.f64 eps 12)) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps eps (.f64 x (.f64 x 4)))) (*.f64 (pow.f64 x 4) 16)) (fma.f64 64 (pow.f64 x 6) (pow.f64 eps 6))))
(/.f64 (-.f64 (.f64 (.f64 16 (pow.f64 x 4)) (.f64 16 (pow.f64 x 4))) (.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 16 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 256 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (pow.f64 eps 8)) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) 16))))
(/.f64 (-.f64 (.f64 256 (pow.f64 x 8)) (pow.f64 eps 8)) (.f64 (fma.f64 eps eps (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 4) 16 (pow.f64 eps 4))))
(/.f64 (+.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (pow.f64 (.f64 eps (neg.f64 eps)) 3)) (+.f64 (.f64 16 (pow.f64 x 4)) (-.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 eps))) (.f64 (.f64 4 (.f64 x x)) (*.f64 eps (neg.f64 eps))))))
(.f64 (-.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (pow.f64 eps 6)) (/.f64 1 (fma.f64 16 (pow.f64 x 4) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 64 (pow.f64 x 6)) (pow.f64 eps 6)) (fma.f64 eps (.f64 eps (fma.f64 eps eps (.f64 x (.f64 x 4)))) (*.f64 (pow.f64 x 4) 16)))
(/.f64 (+.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (pow.f64 (.f64 eps (neg.f64 eps)) 3)) (.f64 1 (+.f64 (.f64 16 (pow.f64 x 4)) (-.f64 (.f64 (.f64 eps (neg.f64 eps)) (.f64 eps (neg.f64 eps))) (.f64 (.f64 4 (.f64 x x)) (.f64 eps (neg.f64 eps)))))))
(.f64 (-.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (pow.f64 eps 6)) (/.f64 1 (fma.f64 16 (pow.f64 x 4) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 64 (pow.f64 x 6)) (pow.f64 eps 6)) (fma.f64 eps (.f64 eps (fma.f64 eps eps (.f64 x (.f64 x 4)))) (*.f64 (pow.f64 x 4) 16)))
(/.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 (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)) (fma.f64 (.f64 eps (.f64 0 eps)) (+.f64 (.f64 eps (.f64 0 eps)) (fma.f64 -4 (.f64 x x) (.f64 eps eps))) (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2)))
(/.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)) (fma.f64 (.f64 eps (.f64 0 eps)) (+.f64 (.f64 eps (.f64 0 eps)) (fma.f64 -4 (.f64 x x) (.f64 eps eps))) (pow.f64 (-.f64 (.f64 x (.f64 x 4)) (.f64 eps eps)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) 3) (pow.f64 (pow.f64 eps 6) 3)) (.f64 (+.f64 (.f64 16 (pow.f64 x 4)) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (+.f64 (.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (.f64 64 (pow.f64 (.f64 x x) 3))) (+.f64 (.f64 (pow.f64 eps 6) (pow.f64 eps 6)) (.f64 (.f64 64 (pow.f64 (*.f64 x x) 3)) (pow.f64 eps 6))))))
(/.f64 (-.f64 (.f64 262144 (pow.f64 (pow.f64 (.f64 x x) 3) 3)) (pow.f64 (pow.f64 eps 6) 3)) (.f64 (fma.f64 16 (pow.f64 x 4) (.f64 (.f64 eps eps) (fma.f64 4 (.f64 x x) (.f64 eps eps)))) (+.f64 (.f64 4096 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (.f64 x x) 3))) (.f64 (pow.f64 eps 6) (fma.f64 64 (pow.f64 (*.f64 x x) 3) (pow.f64 eps 6))))))
(/.f64 (fma.f64 262144 (pow.f64 (pow.f64 x 6) 3) (neg.f64 (pow.f64 (pow.f64 eps 6) 3))) (.f64 (fma.f64 eps (.f64 eps (fma.f64 eps eps (.f64 x (.f64 x 4)))) (.f64 (pow.f64 x 4) 16)) (fma.f64 (pow.f64 eps 6) (fma.f64 64 (pow.f64 x 6) (pow.f64 eps 6)) (.f64 4096 (pow.f64 (*.f64 x x) 6)))))
(/.f64 (-.f64 (pow.f64 (.f64 16 (pow.f64 x 4)) 3) (pow.f64 (pow.f64 eps 4) 3)) (.f64 (fma.f64 4 (.f64 x x) (.f64 eps eps)) (+.f64 (.f64 (.f64 16 (pow.f64 x 4)) (.f64 16 (pow.f64 x 4))) (+.f64 (.f64 (pow.f64 eps 4) (pow.f64 eps 4)) (.f64 (.f64 16 (pow.f64 x 4)) (pow.f64 eps 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 256 (.f64 (pow.f64 x 4) (pow.f64 x 4))) (+.f64 (pow.f64 eps 8) (.f64 (pow.f64 eps 4) (.f64 (pow.f64 x 4) 16))))))
(/.f64 (-.f64 (.f64 4096 (pow.f64 (.f64 x x) 6)) (pow.f64 eps 12)) (.f64 (fma.f64 eps eps (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 x 4) 16 (pow.f64 eps 4)) (.f64 256 (pow.f64 x 8)))))
(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))
(fabs.f64 (-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps)))
(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 (.f64 2 x) (.f64 2 x) (*.f64 eps (neg.f64 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) (.f64 eps (neg.f64 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 (.f64 eps (neg.f64 eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))
(fma.f64 1 (.f64 4 (.f64 x x)) (*.f64 eps (neg.f64 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 (pow.f64 (cbrt.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)))
(-.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 (.f64 16 (pow.f64 x 4))) (pow.f64 (cbrt.f64 (.f64 2 x)) 2) (*.f64 eps (neg.f64 eps)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 16)) (pow.f64 (cbrt.f64 (.f64 x 2)) 2) (*.f64 eps (neg.f64 eps)))
(fma.f64 (.f64 x 4) x (.f64 eps (neg.f64 eps)))
(-.f64 (.f64 4 (.f64 x x)) (*.f64 eps eps))
(-.f64 (.f64 x (.f64 x 4)) (*.f64 eps eps))

eval218.0ms (4.4%)

Compiler: Compiled 11219 to 5744 computations (48.8% saved)

prune105.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	403	3	406
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	403	7	410

Error

Counts

410 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
▶	18.1b	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps))))
▶	18.1b	(/.f64 eps (/.f64 1 eps))
▶	23.5b	(/.f64 eps (/.f64 1/2 x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
✓	23.4b	(.f64 eps (.f64 2 x))
✓	18.0b	(*.f64 eps eps)

Compiler

Compiled 70 to 46 computations (34.3% saved)

localize36.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 eps (/.f64 1/2 x))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`add-sqr-sqrt`
1606×	`*-un-lft-identity`
1508×	`add-cube-cbrt`
1492×	`add-cbrt-cube`
152×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	154	13
2	2024	13

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(/.f64 eps (/.f64 1/2 x))

Outputs

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1170×	`distribute-lft-in`
1070×	`distribute-rgt-in`
950×	`associate-+r+`
892×	`*-commutative`
846×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	1110
1	287	1092
2	939	1092
3	3750	1092

Stop Event

1×	node limit

Counts

66 → 60

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 eps (/.f64 1 eps))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`add-sqr-sqrt`
1086×	`*-un-lft-identity`
1024×	`pow1`
1014×	`add-cube-cbrt`
1004×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	124	7
2	1616	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 eps (/.f64 1 eps))

Outputs

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

simplify94.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1604×	`distribute-rgt-in`
1558×	`distribute-lft-in`
728×	`associate-r`
646×	`associate-+r+`
608×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	373
1	219	345
2	709	345
3	3691	345

Stop Event

1×	node limit

Counts

43 → 36

Calls

Call 1

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

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

localize36.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps))))
✓	13.1b	(/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps)))

Compiler

Compiled 41 to 19 computations (53.7% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps)))
0.0ms	x	@	0	(/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps)))
0.0ms	x	@	inf	(/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps)))
0.0ms	eps	@	0	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps))))
0.0ms	x	@	inf	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps))))

rewrite117.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`associate-/r/`
1006×	`associate-/l/`
608×	`distribute-rgt-in`
574×	`distribute-lft-in`
284×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	272	42
2	4346	42

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 2 x) eps) (*.f64 eps (neg.f64 eps))) (*.f64 (/.f64 eps (pow.f64 eps 3)) (fma.f64 eps 1 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 2 x) eps) (*.f64 eps (neg.f64 eps))) (*.f64 (/.f64 eps (pow.f64 eps 3)) (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 2 x) eps) (*.f64 eps (neg.f64 eps))) (*.f64 (/.f64 eps (pow.f64 eps 3)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (cbrt.f64 (*.f64 eps (neg.f64 eps))) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 2 x) eps) (*.f64 eps (neg.f64 eps))) (*.f64 (fma.f64 eps 1 eps) (/.f64 eps (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 2 x) eps) (*.f64 eps (neg.f64 eps))) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps) (/.f64 eps (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 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simplify156.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-r`
846×	`*-commutative`
794×	`associate-l`
700×	`associate-*r/`
646×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	483	10457
1	1541	9313
2	7526	9313

Stop Event

1×	node limit

Counts

229 → 321

Calls

Call 1

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

Outputs
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(*.f64 -2 (/.f64 x (pow.f64 eps 2)))
(/.f64 (.f64 -2 x) (.f64 eps eps))
(/.f64 -2 (/.f64 (*.f64 eps eps) x))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(*.f64 -2 (/.f64 x (pow.f64 eps 2)))
(/.f64 (.f64 -2 x) (.f64 eps eps))
(/.f64 -2 (/.f64 (*.f64 eps eps) x))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(*.f64 -2 (/.f64 x (pow.f64 eps 2)))
(/.f64 (.f64 -2 x) (.f64 eps eps))
(/.f64 -2 (/.f64 (*.f64 eps eps) x))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(/.f64 1 eps)
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(+.f64 (/.f64 1 eps) (*.f64 -2 (/.f64 x (pow.f64 eps 2))))
(+.f64 (/.f64 1 eps) (/.f64 (.f64 -2 x) (.f64 eps eps)))
(fma.f64 -2 (/.f64 x (*.f64 eps eps)) (/.f64 1 eps))
(*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))
(/.f64 (*.f64 -1/2 (pow.f64 eps 3)) x)
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (.f64 -1/2 (/.f64 (pow.f64 eps 3) x)))
(fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (/.f64 (.f64 -1/2 (pow.f64 eps 3)) x))
(fma.f64 -1/2 (/.f64 (pow.f64 eps 3) x) (/.f64 (.f64 -1/4 (pow.f64 eps 4)) (.f64 x x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 eps 4) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (pow.f64 eps 3) x))))
(fma.f64 -1/8 (/.f64 (pow.f64 eps 5) (pow.f64 x 3)) (fma.f64 -1/4 (/.f64 (pow.f64 eps 4) (.f64 x x)) (/.f64 (.f64 -1/2 (pow.f64 eps 3)) x)))
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(+.f64 0 (.f64 (.f64 eps (neg.f64 eps)) (/.f64 eps (-.f64 (*.f64 x 2) eps))))
(/.f64 (pow.f64 (neg.f64 eps) 3) (-.f64 (*.f64 x 2) eps))

eval202.0ms (4.1%)

Compiler: Compiled 7709 to 4415 computations (42.7% saved)

prune76.0ms (1.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	416	1	417
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	417	7	424

Error

Counts

424 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
✓	18.1b	(/.f64 eps (/.f64 1 eps))
✓	23.5b	(/.f64 eps (/.f64 1/2 x))
✓	0.0b	(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
	0.0b	(.f64 eps (+.f64 (.f64 x 2) eps))
✓	23.4b	(.f64 eps (.f64 2 x))
✓	18.0b	(*.f64 eps eps)

Compiler

Compiled 65 to 43 computations (33.8% saved)

regimes45.0ms (0.9%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 eps eps)
(.f64 eps (.f64 2 x))
(/.f64 eps (/.f64 1/2 x))
(/.f64 eps (/.f64 1 eps))
(.f64 eps (+.f64 (.f64 x 2) eps))
(+.f64 (.f64 (.f64 2 x) eps) (*.f64 eps eps))
(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (.f64 eps (neg.f64 eps))))
(/.f64 eps (/.f64 (-.f64 (.f64 2 x) eps) (-.f64 (.f64 4 (.f64 x x)) (.f64 eps eps))))
(*.f64 eps (fma.f64 2 x eps))
(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 2 x eps)) 3))

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

Calls

3 calls:

8.0ms	x
6.0ms	eps
3.0ms	(-.f64 (pow.f64 (+.f64 x eps) 2) (pow.f64 x 2))

Results

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

Compiler

Compiled 106 to 63 computations (40.6% saved)

regimes42.0ms (0.9%)

Accuracy

Total -34.1b remaining (-545.7%)

Threshold costs -34.1b (-545.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	x
13.0ms	eps

Results

Error	Segments	Branch
6.2b	3	`x`
7.8b	3	`eps`

Compiler

Compiled 26 to 16 computations (38.5% saved)

bsearch46.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	5.135900271815234e-124	3.6374576264321434e-121
28.0ms	-4.698111884991368e-113	-8.197971426745664e-119

Results

22.0ms	157×	body	256	valid
21.0ms	115×	body	512	valid

Compiler

Compiled 254 to 182 computations (28.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	71
1	29	71

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -4029035649269309/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (*.f64 eps (*.f64 2 x)) (if (<=.f64 x 8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (*.f64 eps eps) (*.f64 eps (*.f64 2 x))))

(*.f64 eps eps)

Outputs
(.f64 eps (+.f64 (.f64 x 2) eps))
(.f64 eps (+.f64 eps (.f64 x 2)))
(if (<=.f64 x -4029035649269309/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (.f64 eps (.f64 2 x)) (if (<=.f64 x 8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992) (.f64 eps eps) (.f64 eps (*.f64 2 x))))
(if (or (<=.f64 x -4029035649269309/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (not (<=.f64 x 8373182103885391/23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668992))) (.f64 eps (.f64 x 2)) (*.f64 eps eps))
(*.f64 eps eps)

Compiler

Compiled 33 to 22 computations (33.3% saved)

soundness384.0ms (7.7%)

Algorithm

4×	egg-herbie

Rules

1716×	`distribute-lft-in`
1696×	`distribute-lft-out--`
1612×	`associate-*r/`
1398×	`associate-*l/`
1292×	`fma-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	21	25
2	67	25
3	170	25
4	548	15
5	2315	15
6	7614	15
0	306	6845
1	908	6269
2	3904	6269
0	687	17194
1	2070	15694
0	483	10457
1	1541	9313
2	7526	9313

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 266 to 125 computations (53% saved)

end25.0ms (0.5%)

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

Details

analyze0.0ms (0%)

sample1.8s (36.3%)

preprocess44.0ms (0.9%)

simplify65.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite75.0ms (1.5%)

simplify74.0ms (1.5%)

eval3.0ms (0.1%)

prune5.0ms (0.1%)

localize14.0ms (0.3%)

series5.0ms (0.1%)

rewrite78.0ms (1.6%)

simplify118.0ms (2.4%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite114.0ms (2.3%)

simplify90.0ms (1.8%)

eval210.0ms (4.2%)

prune133.0ms (2.7%)

localize20.0ms (0.4%)

series21.0ms (0.4%)

rewrite126.0ms (2.5%)

simplify168.0ms (3.4%)

eval218.0ms (4.4%)

prune105.0ms (2.1%)

localize36.0ms (0.7%)

series1.0ms (0%)

rewrite56.0ms (1.1%)

simplify57.0ms (1.2%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite60.0ms (1.2%)

simplify94.0ms (1.9%)

localize36.0ms (0.7%)

series6.0ms (0.1%)

rewrite117.0ms (2.4%)

simplify156.0ms (3.1%)

eval202.0ms (4.1%)

prune76.0ms (1.5%)

regimes45.0ms (0.9%)

regimes42.0ms (0.9%)

bsearch46.0ms (0.9%)

simplify7.0ms (0.1%)

soundness384.0ms (7.7%)

end25.0ms (0.5%)

Profiling