Metrics for ENA, Section 1.4, Exercise 4b, n=2

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)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival-<=: 0.0ms (0% of total)

ival-pow: 0.0ms (0% of total)

sample2.1s (55.4%)

Results

658.0ms	5269×	0	valid
712.0ms	2502×	1	valid
166.0ms	485×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-pow: 422.0ms (34.8% of total)

ival-<=: 334.0ms (27.5% of total)

backward-pass: 208.0ms (17.2% of total)

ival-add: 104.0ms (8.6% of total)

ival-sub: 74.0ms (6.1% of total)

const: 35.0ms (2.9% of total)

ival-and: 35.0ms (2.9% of total)

Bogosity

preprocess191.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

578×	`sub-neg`
485×	`unsub-neg`
479×	`fma-neg`
478×	`distribute-lft-in`
347×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	57	246
2	174	238
3	663	196
4	2246	188
5	5182	188
6	6776	188
7	7401	188
8	7630	188
9	7744	188
10	7777	188

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))

Outputs
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal -2 binary64) eps))
(-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(.f64 eps (-.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal -2 binary64) eps))
(neg.f64 (-.f64 (pow.f64 (+.f64 (neg.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))
(.f64 eps (-.f64 (.f64 x #s(literal 2 binary64)) eps))
(neg.f64 (-.f64 (pow.f64 (+.f64 x (neg.f64 eps)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (-.f64 (pow.f64 (+.f64 eps (neg.f64 x)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))
(.f64 eps (-.f64 (.f64 x #s(literal 2 binary64)) eps))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 x (+.f64 x (.f64 #s(literal 2 binary64) eps)))
(.f64 x (+.f64 x (.f64 eps #s(literal 2 binary64))))

explain222.0ms (5.7%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
83	0	-	-	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	0	-	-	`x`
0	89	(2.225822620053089e-197 5.3935295943590976e-142)	-	`(pow.f64 (+.f64 x eps) #s(literal 2 binary64))`
0	0	-	-	`(+.f64 x eps)`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(pow.f64 x #s(literal 2 binary64))`
0	0	-	-	`eps`

Results

124.0ms	370×	256	valid
16.0ms	84×	512	valid
25.0ms	56×	1024	valid
1.0ms	2×	2048	valid

Compiler

Compiled 63 to 36 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-add: 89.0ms (65.2% of total)

ival-pow: 42.0ms (30.8% of total)

ival-sub: 4.0ms (2.9% of total)

const: 2.0ms (1.5% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize33.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Results

24.0ms

256×

256

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (69.8% of total)

ival-add: 3.0ms (29.9% of total)

const: 1.0ms (10% of total)

series6.0ms (0.1%)

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(* eps (+ eps (* x 2)))
1.0ms	x	@	0	(* eps (+ eps (* x 2)))
1.0ms	eps	@	inf	(* eps (+ eps (* x 2)))
1.0ms	x	@	inf	(* eps (+ eps (* x 2)))
0.0ms	eps	@	-inf	(* eps (+ eps (* x 2)))

rewrite246.0ms (6.4%)

Algorithm

1×	batch-egg-rewrite

Rules

893×	`prod-diff`
606×	`log1p-expm1-u`
606×	`expm1-log1p-u`
567×	`unpow-prod-down`
307×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	120	24
2	1668	24

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Outputs
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(log.f64 (.f64 (exp.f64 (.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 eps eps (.f64 eps (.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

483×	`fma-neg`
475×	`cancel-sign-sub-inv`
444×	`fma-define`
371×	`associate-/r*`
361×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2259
1	413	2249
2	1147	2238
3	3469	2232

Stop Event

1×	node limit

Counts

80 → 78

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64)))))
(/.f64 (.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(log.f64 (.f64 (exp.f64 (.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 eps eps (.f64 eps (.f64 x #s(literal 2 binary64))))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (cbrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))

Outputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 #s(literal 0 binary64) (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))) (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 2 binary64) x eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)) (-.f64 (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps (.f64 #s(literal 2 binary64) x)) (-.f64 (.f64 eps (*.f64 #s(literal 2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 eps x) (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) x) eps)))) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 x (.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps x) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 eps #s(literal -2 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 eps (.f64 x #s(literal 2 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 eps (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps (.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 eps #s(literal -2 binary64))))))
(/.f64 (.f64 eps (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) eps) (fma.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) eps) (pow.f64 eps #s(literal 2 binary64))))
(.f64 eps (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (*.f64 #s(literal 2 binary64) x) eps) (pow.f64 eps #s(literal 2 binary64)))))
(.f64 eps (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 x (.f64 #s(literal 2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) eps)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (.f64 eps (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps eps (.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 eps #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) eps) (+.f64 eps (*.f64 #s(literal -2 binary64) x)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 1 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 3 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 2 binary64))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal 2 binary64) eps)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log.f64 (.f64 (exp.f64 (.f64 eps (*.f64 x #s(literal 2 binary64)))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 1/3 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 eps (fma.f64 x #s(literal 2 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps eps (.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 eps (*.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 x (*.f64 #s(literal 2 binary64) eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 2 binary64) (*.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 x #s(literal 2 binary64)) eps (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 eps (cbrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) x)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 eps (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 (cbrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (cbrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64))))) (cbrt.f64 (.f64 eps (*.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (sqrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 eps (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 eps)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 eps (*.f64 x #s(literal 2 binary64))))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 (.f64 x #s(literal 2 binary64)) (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps x) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (*.f64 eps #s(literal 2 binary64)) x (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 (.f64 eps (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 eps (cbrt.f64 (*.f64 #s(literal 2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) x)))))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 eps (fma.f64 x #s(literal 2 binary64) eps))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))

eval16.0ms (0.4%)

Compiler: Compiled 1082 to 703 computations (35% saved)

prune12.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Accuracy

100.0%

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.8%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
▶	64.0%	(.f64 eps (.f64 #s(literal 2 binary64) x))
▶	64.0%	(.f64 #s(literal 2 binary64) (.f64 eps x))

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize91.0ms (2.3%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
✓	86.8%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
✓	100.0%	(.f64 #s(literal 2 binary64) (.f64 eps x))

New

Accuracy

Program

✓

100.0%

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))

✓

86.8%

(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))

✓

100.0%

(*.f64 #s(literal 2 binary64) (*.f64 eps x))

Results

60.0ms

256×

256

valid

Compiler

Compiled 58 to 31 computations (46.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 19.0ms (61.2% of total)

ival-pow: 6.0ms (19.3% of total)

ival-add: 3.0ms (9.7% of total)

ival-div: 2.0ms (6.4% of total)

const: 2.0ms (6.4% of total)

series8.0ms (0.2%)

Counts

3 → 33

Calls

Call 1

Inputs

#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>

#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>

#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))>

Outputs
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (.f64 #s(literal 2 binary64) (.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal 2 binary64) (/.f64 x eps))>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	inf	(* 2 (* eps x))
1.0ms	x	@	0	(* (pow eps 2) (+ 1 (* 2 (/ x eps))))
1.0ms	eps	@	0	(* 2 (* eps x))
1.0ms	x	@	inf	(* 2 (* eps x))
1.0ms	x	@	0	(* 2 (* eps x))

rewrite159.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log1p-expm1-u`
640×	`expm1-log1p-u`
597×	`log-prod`
534×	`prod-diff`
331×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	84
1	220	76
2	2950	76

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

(*.f64 #s(literal 2 binary64) (*.f64 eps x))

(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))

(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))

Outputs
(+.f64 (.f64 eps x) (.f64 eps x))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 eps x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))))
(log.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps eps (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 eps (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (.f64 eps (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) eps) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 x eps)) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) eps) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (/.f64 (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) #s(literal 1 binary64))

simplify174.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-define`
530×	`fma-neg`
341×	`*-commutative`
258×	`distribute-lft-in`
249×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	6887
1	677	5818
2	1928	5700
3	6585	5700

Stop Event

1×	node limit

Counts

163 → 185

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (.f64 eps x) (.f64 eps x))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 eps x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 eps x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))))
(exp.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 eps x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 eps x))) #s(literal 1 binary64)))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(/.f64 (.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 eps (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))))
(log.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (exp.f64 (pow.f64 eps #s(literal 2 binary64)))))
(log.f64 (.f64 (exp.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(exp.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 eps) (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 eps eps (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps eps (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 eps (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (.f64 eps (sqrt.f64 eps)) (sqrt.f64 eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64))))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (.f64 eps (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) eps) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 x eps)) #s(literal 2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 #s(literal 2 binary64) (*.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (.f64 eps (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 x eps) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) eps) eps (pow.f64 eps #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (cbrt.f64 (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))) (/.f64 (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) #s(literal 1 binary64))

Outputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 eps #s(literal 2 binary64))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -2 binary64) eps) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))
(.f64 eps (+.f64 eps (.f64 #s(literal 2 binary64) x)))
(*.f64 eps (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1 binary64)
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x eps))
(*.f64 x (/.f64 #s(literal 2 binary64) eps))
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
(/.f64 (+.f64 eps (*.f64 #s(literal 2 binary64) x)) eps)
(/.f64 (fma.f64 #s(literal 2 binary64) x eps) eps)
#s(literal 1 binary64)
#s(literal 1 binary64)
(+.f64 (.f64 eps x) (.f64 eps x))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 eps x)))
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 x (.f64 #s(literal 2 binary64) eps))
(.f64 eps (.f64 #s(literal 2 binary64) x))
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(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 x eps) (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 x eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) x) eps)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) #s(literal -4 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 3 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)) #s(literal 3 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(exp.f64 (.f64 (log1p.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 x eps) #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 x eps)) (*.f64 (sqrt.f64 (/.f64 x eps)) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps))) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 eps)) (/.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 (/.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 x eps))) (sqrt.f64 (/.f64 x eps)) #s(literal 1 binary64))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (/.f64 #s(literal 2 binary64) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 x eps) #s(literal 1 binary64))

eval48.0ms (1.3%)

Compiler: Compiled 3116 to 1984 computations (36.3% saved)

prune29.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	185	4	189

Accuracy

100.0%

Counts

189 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.8%	(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
✓	100.0%	(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
✓	64.0%	(.f64 eps (.f64 #s(literal 2 binary64) x))
✓	64.0%	(.f64 #s(literal 2 binary64) (.f64 eps x))

Compiler

Compiled 75 to 52 computations (30.7% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 x eps))))
(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Outputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))

Calls

3 calls:

2.0ms	x
2.0ms	eps
1.0ms	(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`eps`
100.0%	1	`(-.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 eps x))
(.f64 eps (.f64 #s(literal 2 binary64) x))

Outputs
(.f64 eps (.f64 #s(literal 2 binary64) x))

Calls

2 calls:

1.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
64.0%	1	`x`
64.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 2 binary64) (.f64 eps x))

Outputs
(.f64 #s(literal 2 binary64) (.f64 eps x))

Calls

2 calls:

5.0ms	x
0.0ms	eps

Results

Accuracy	Segments	Branch
64.0%	1	`x`
64.0%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	21	66

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 eps x))

Outputs
(.f64 eps (+.f64 eps (.f64 x #s(literal 2 binary64))))
(.f64 eps (.f64 #s(literal 2 binary64) x))
(.f64 eps (.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 eps x))

soundness372.0ms (9.6%)

Rules

578×	`sub-neg`
485×	`unsub-neg`
483×	`fma-neg`
479×	`fma-neg`
478×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	278
1	57	246
2	174	238
3	663	196
4	2246	188
5	5182	188
6	6776	188
7	7401	188
8	7630	188
9	7744	188
10	7777	188
0	178	2259
1	413	2249
2	1147	2238
3	3469	2232

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 232 to 76 computations (67.2% saved)

preprocess26.0ms (0.7%)

Compiler: Compiled 60 to 40 computations (33.3% saved)

ENA, Section 1.4, Exercise 4b, n=2

analyze0.0ms (0%)

sample2.1s (55.4%)

preprocess191.0ms (4.9%)

explain222.0ms (5.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize33.0ms (0.9%)

series6.0ms (0.1%)

rewrite246.0ms (6.4%)

simplify73.0ms (1.9%)

eval16.0ms (0.4%)

prune12.0ms (0.3%)

localize91.0ms (2.3%)

series8.0ms (0.2%)

rewrite159.0ms (4.1%)

simplify174.0ms (4.5%)

eval48.0ms (1.3%)

prune29.0ms (0.8%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes6.0ms (0.2%)

simplify2.0ms (0.1%)

soundness372.0ms (9.6%)

preprocess26.0ms (0.7%)

end0.0ms (0%)

Profiling