Metrics for ENA, Section 1.4, Exercise 4d

analyze329.0ms (4.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.8%	87.2%	0%	0%	0%	0
0%	0%	12.8%	87.2%	0%	0%	0%	1
0%	0%	12.8%	87.2%	0%	0%	0%	2
50%	6.4%	6.4%	87.2%	0%	0%	0%	3
57.1%	6.4%	4.8%	87.2%	0%	1.6%	0%	4
69.2%	7.2%	3.2%	87.2%	0%	2.4%	0%	5
75%	7.2%	2.4%	87.2%	0%	3.2%	0%	6
82.6%	7.6%	1.6%	87.2%	0%	3.6%	0%	7
86.4%	7.6%	1.2%	87.2%	0%	4%	0%	8
90.7%	7.8%	0.8%	87.2%	0%	4.2%	0%	9
92.6%	7.8%	0.6%	87.2%	0%	4.4%	0%	10
95%	7.9%	0.4%	87.2%	0%	4.5%	0%	11
96.3%	8%	0.3%	87.2%	0%	4.5%	0%	12

Compiler

Compiled 25 to 17 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

ival-<=: 311.0ms (98% of total)

ival-sub: 2.0ms (0.6% of total)

ival-mult: 2.0ms (0.6% of total)

ival-sqrt: 2.0ms (0.6% of total)

ival-and: 1.0ms (0.3% of total)

const: 0.0ms (0% of total)

sample1.4s (19.6%)

Results

402.0ms	5031×	0	valid
602.0ms	3225×	1	valid
11.0ms	156×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 693.0ms

ival-<=: 179.0ms (25.8% of total)

ival-sub: 133.0ms (19.2% of total)

ival-mult: 112.0ms (16.2% of total)

ival-sqrt: 108.0ms (15.6% of total)

backward-pass: 99.0ms (14.3% of total)

ival-and: 36.0ms (5.2% of total)

const: 26.0ms (3.8% of total)

Bogosity

preprocess102.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

220×	`fma-neg`
125×	`fma-define`
54×	`sub-neg`
29×	`cancel-sign-sub-inv`
29×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	269
1	60	253
2	140	241
3	357	241
4	689	241
5	926	241
6	962	241
7	968	241

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))))
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))))
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

Outputs
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps)))
(-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps))))
(-.f64 x (sqrt.f64 (fma.f64 x x eps)))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) eps))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 x x) eps))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(neg.f64 (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) (neg.f64 eps)))))
(+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x eps)))
(-.f64 (sqrt.f64 (fma.f64 x x eps)) x)
(-.f64 eps (sqrt.f64 (-.f64 (*.f64 eps eps) x)))

explain123.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
95	-	-	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 (*.f64 x x) eps)`
0	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) eps))`
0	-	-	`eps`

Results

72.0ms	402×	256	valid
13.0ms	62×	1024	valid
6.0ms	48×	512	valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 9.0ms (42.6% of total)

ival-mult: 6.0ms (28.4% of total)

ival-sqrt: 6.0ms (28.4% of total)

const: 1.0ms (4.7% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize31.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	65.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

15.0ms	201×	256	valid
6.0ms	31×	1024	valid
3.0ms	24×	512	valid

Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 5.0ms (45.8% of total)

ival-mult: 3.0ms (27.5% of total)

ival-sqrt: 3.0ms (27.5% of total)

const: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))>
#<alt (-.f64 (*.f64 x x) eps)>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) eps)>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>

Calls

12 calls:

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

rewrite375.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
631×	`unpow-prod-down`
461×	`fma-define`
334×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	150	51
2	2114	49

Stop Event

1×	node limit

Counts

2 → 258

Calls

Call 1

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

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

simplify293.0ms (4%)

Algorithm

1×	egg-herbie

Rules

445×	`fma-neg`
319×	`cancel-sign-sub-inv`
239×	`associate-r`
239×	`unswap-sqr`
227×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	691	4294981455
1	1579	4294980928
2	4464	4294980528

Stop Event

1×	node limit

Counts

306 → 383

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x)
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 5/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps))) eps)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) eps)
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) eps) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) eps)
(*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))
(*.f64 eps (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) eps)
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(+.f64 x (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (*.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64)))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) #s(literal 1 binary64) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(+.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
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(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1 binary64) (+.f64 (neg.f64 eps) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (+.f64 (neg.f64 eps) eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (neg.f64 eps))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) (+.f64 (neg.f64 eps) eps))
(fma.f64 #s(literal 1 binary64) (neg.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x) (.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 eps))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (fma.f64 x x eps) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (neg.f64 eps) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 eps)) (cbrt.f64 (neg.f64 eps))) (cbrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (neg.f64 eps))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 eps)) (sqrt.f64 (neg.f64 eps)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) eps (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 3/4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (+.f64 x (sqrt.f64 eps)) (-.f64 x (sqrt.f64 eps)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 eps))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (neg.f64 eps) #s(literal 1 binary64)))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 eps) #s(literal 1 binary64) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (+.f64 (neg.f64 eps) eps))

Outputs
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) (.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) (.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x)
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) x)
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2 binary64))) x)
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) eps (.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/8 binary64)))) x)
(/.f64 (+.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 eps #s(literal 1/2 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/2 binary64)))) x)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))))) x)
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) eps (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64))))) x)
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 eps #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/16 binary64))))) x)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 eps #s(literal 1/2 binary64))))) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))
(neg.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -2 binary64)) (neg.f64 x))
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(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (+.f64 eps (neg.f64 eps)))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (.f64 #s(literal 0 binary64) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 0 binary64))
(fma.f64 (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (+.f64 (neg.f64 eps) eps))
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) (+.f64 eps (neg.f64 eps)))
(fma.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) (.f64 #s(literal 0 binary64) eps))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64)) (*.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps))) #s(literal 0 binary64))

eval93.0ms (1.3%)

Compiler: Compiled 7633 to 4118 computations (46.1% saved)

prune64.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	375	8	383
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	375	9	384

Accuracy

100.0%

Counts

384 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.6%	(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
▶	79.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	65.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	62.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	3.5%	(*.f64 x #s(literal 2 binary64))
▶	40.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	26.5%	(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	35.5%	(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
	40.2%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 226 to 168 computations (25.7% saved)

localize358.0ms (4.9%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)
✓	88.7%	(-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
✓	62.6%	(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	50.7%	(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
✓	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	88.6%	(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	86.9%	(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓	99.6%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Results

222.0ms	205×	256	valid
50.0ms	51×	256	invalid

Compiler

Compiled 220 to 145 computations (34.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 221.0ms

ival-pow: 106.0ms (48% of total)

ival-mult: 44.0ms (19.9% of total)

ival-div: 39.0ms (17.6% of total)

ival-add: 9.0ms (4.1% of total)

<compiled-spec>: 8.0ms (3.6% of total)

const: 7.0ms (3.2% of total)

ival-sqrt: 4.0ms (1.8% of total)

ival-sub: 2.0ms (0.9% of total)

ival-neg: 2.0ms (0.9% of total)

series54.0ms (0.7%)

Counts

10 → 158

Calls

Call 1

Inputs
#<alt (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))>
#<alt (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))>
#<alt (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))>
#<alt (/.f64 eps (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))>
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) eps)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) eps)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 5 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
3.0ms	x	@	0	(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
3.0ms	eps	@	0	(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
2.0ms	x	@	-inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
2.0ms	eps	@	inf	(/ (- (* 1/16 (/ (pow eps 3) (pow x 4))) (+ (* -1/2 eps) (* -1/8 (/ (pow eps 2) (pow x 2))))) x)

rewrite128.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
291×	`add-cube-cbrt`
289×	`pow1`
287×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	403
1	699	377

Stop Event

1×	node limit

Counts

10 → 285

Calls

Call 1

Inputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (fma.f64 x x eps) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps)) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x eps) (*.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (neg.f64 (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (hypot.f64 x (sqrt.f64 eps)) x))))
(pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64)))
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(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))

simplify230.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

823×	`associate-r`
622×	`fma-define`
312×	`*-commutative`
274×	`distribute-rgt-in`
270×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1150	26298
1	3146	23931

Stop Event

1×	node limit

Counts

443 → 587

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))))
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(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/16 binary64) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))))
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(-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal -4 binary64))) x)) (/.f64 (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))) x))
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(-.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (.f64 eps #s(literal -1/2 binary64))) x) (/.f64 (*.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64)) x))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
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(.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) x))
(.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (cbrt.f64 x)))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps)))) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) x))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (cbrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) eps)))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps)))) (cbrt.f64 x)))
(pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 3 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(pow.f64 (/.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps)))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x))
(log.f64 (exp.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x) #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(cbrt.f64 (.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(exp.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (.f64 eps #s(literal -1/2 binary64)))) x)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal -1/8 binary64) (*.f64 eps #s(literal -1/2 binary64)))) x)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) eps))) x)
(/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))) x)

eval202.0ms (2.8%)

Compiler: Compiled 15591 to 11138 computations (28.6% saved)

prune154.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	584	3	587
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	588	8	596

Accuracy

100.0%

Counts

596 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.9%	(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
▶	40.2%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
▶	40.7%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	79.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	65.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	62.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	3.5%	(*.f64 x #s(literal 2 binary64))
✓	40.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))

Compiler

Compiled 84 to 59 computations (29.8% saved)

localize458.0ms (6.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	91.5%	(.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
✓	91.2%	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
✓	90.5%	(/.f64 eps (pow.f64 x #s(literal 4 binary64)))
✓	58.2%	(+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	100.0%	(fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	99.9%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	99.6%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))

Results

251.0ms	205×	256	valid
46.0ms	51×	256	invalid

Compiler

Compiled 189 to 131 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-mult: 121.0ms (36.9% of total)

<compiled-spec>: 81.0ms (24.7% of total)

ival-pow: 58.0ms (17.7% of total)

ival-div: 43.0ms (13.1% of total)

ival-add: 13.0ms (4% of total)

const: 6.0ms (1.8% of total)

ival-sub: 2.0ms (0.6% of total)

ival-sqrt: 2.0ms (0.6% of total)

ival-neg: 2.0ms (0.6% of total)

series26.0ms (0.4%)

Counts

8 → 160

Calls

Call 1

Inputs
#<alt (-.f64 x (sqrt.f64 (neg.f64 eps)))>
#<alt (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))>
#<alt (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 eps (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) x)) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) eps)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/8 binary64) eps)) (pow.f64 x #s(literal 2 binary64)))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
1.0ms	x	@	inf	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))
1.0ms	eps	@	inf	(* eps (+ 1/2 (* eps (+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))))
1.0ms	eps	@	0	(+ (* 1/16 (/ eps (pow x 4))) (* 1/8 (/ 1 (pow x 2))))
1.0ms	eps	@	inf	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))

rewrite208.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log1p-expm1-u`
215×	`expm1-log1p-u`
207×	`add-exp-log`
207×	`add-log-exp`
207×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	287
1	481	279
2	7183	279

Stop Event

1×	node limit

Counts

8 → 252

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 eps (pow.f64 x #s(literal 4 binary64)))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))

Outputs
(+.f64 x (neg.f64 (sqrt.f64 eps)))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(+.f64 (-.f64 x (sqrt.f64 eps)) (fma.f64 (neg.f64 (pow.f64 eps #s(literal 1/4 binary64))) (pow.f64 eps #s(literal 1/4 binary64)) (sqrt.f64 eps)))
(+.f64 (neg.f64 (sqrt.f64 eps)) x)
(*.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 eps)))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 x (sqrt.f64 eps))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) (sqrt.f64 (-.f64 x (sqrt.f64 eps))))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x eps) (.f64 x (sqrt.f64 eps)))))
(*.f64 (fma.f64 x x eps) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 eps #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 eps)) (fma.f64 x x eps)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64))) (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps))))
(/.f64 (fma.f64 x x eps) (+.f64 x (sqrt.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (fma.f64 x x eps) (*.f64 x (sqrt.f64 eps)))))
(/.f64 (neg.f64 (fma.f64 x x eps)) (neg.f64 (+.f64 x (sqrt.f64 eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps))) (.f64 x (neg.f64 (sqrt.f64 eps))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 (sqrt.f64 eps)) (neg.f64 (sqrt.f64 eps)))) (-.f64 x (neg.f64 (sqrt.f64 eps))))
(pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 x (sqrt.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 eps))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (neg.f64 (sqrt.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(/.f64 eps (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) (neg.f64 x))
(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
(/.f64 (neg.f64 (*.f64 eps #s(literal -1/2 binary64))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 eps #s(literal -1/2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 eps (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 #s(literal -1 binary64) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))) (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
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(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 3 binary64))) eps) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) (/.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) eps) (+.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) eps (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))

simplify257.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg`
440×	`associate-r`
421×	`fma-define`
418×	`associate-l`
297×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	810	18963
1	2029	18232
2	6902	18204

Stop Event

1×	node limit

Counts

412 → 484

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
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(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
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(*.f64 #s(literal -2 binary64) x)
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
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(*.f64 #s(literal -2 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
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(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
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(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) x)
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(*.f64 #s(literal 2 binary64) x)
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(.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
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(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) eps (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))

Outputs
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 eps)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
(.f64 x (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 #s(literal -1 binary64)) x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(-.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 eps) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 eps (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))))
(.f64 (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 eps (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))))
(.f64 (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(.f64 #s(literal -1 binary64) (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))
(neg.f64 (.f64 eps (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps))))))
(.f64 (-.f64 (/.f64 (neg.f64 x) eps) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)))) (neg.f64 eps))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(-.f64 (+.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(+.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 x #s(literal -2 binary64))) (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps))))
(-.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) x)) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 32 binary64))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 32 binary64) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 eps)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 32 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 eps)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -32 binary64))) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) eps)) #s(literal -2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
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(.f64 eps (/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/64 binary64))) (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 3 binary64))) eps) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) (/.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(.f64 eps (/.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64) (-.f64 (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64)) (/.f64 (.f64 eps #s(literal 1/128 binary64)) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 eps (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64) (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64))) (.f64 eps (/.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 6 binary64))))))
(.f64 eps (/.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64)) (fma.f64 eps (/.f64 #s(literal 1/128 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/64 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) eps) (+.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/64 binary64))) (/.f64 eps (fma.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(.f64 eps (/.f64 (+.f64 (pow.f64 (.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64)))) #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1/64 binary64))) (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 3 binary64))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 2 binary64))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 2 binary64)))
(fabs.f64 (.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (pow.f64 x #s(literal -4 binary64))) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 eps (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(fma.f64 (.f64 (.f64 eps #s(literal 1/16 binary64)) (pow.f64 x #s(literal -4 binary64))) eps (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))
(.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)) (.f64 eps (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))))))
(.f64 eps (fma.f64 eps (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -2 binary64)))))

eval138.0ms (1.9%)

Compiler: Compiled 10516 to 7379 computations (29.8% saved)

prune107.0ms (1.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	479	5	484
Fresh	0	0	0
Picked	2	2	4
Done	1	3	4
Total	482	10	492

Accuracy

100.0%

Counts

492 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.0%	(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
✓	40.2%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
▶	40.7%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
▶	40.7%	(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
✓	79.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	65.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	5.3%	(*.f64 x #s(literal -2 binary64))
✓	40.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
▶	3.5%	x

Compiler

Compiled 156 to 110 computations (29.5% saved)

localize300.0ms (4.1%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
✓	91.4%	(.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
✓	91.2%	(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
✓	87.4%	(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))
✓	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	99.9%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
	99.5%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))
✓	99.9%	(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))

Results

232.0ms

256×

256

valid

Compiler

Compiled 194 to 131 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-pow: 70.0ms (37.4% of total)

ival-mult: 61.0ms (32.6% of total)

ival-add: 26.0ms (13.9% of total)

ival-div: 24.0ms (12.8% of total)

const: 6.0ms (3.2% of total)

series27.0ms (0.4%)

Counts

8 → 186

Calls

Call 1

Inputs
#<alt (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))>
#<alt (/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) x)) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -2 binary64) (/.f64 x eps)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) x)) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
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#<alt (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps))) x)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))) x))>

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4))
2.0ms	x	@	inf	(* eps (+ 1/2 (* eps (/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4)))))
1.0ms	eps	@	0	(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4))
1.0ms	eps	@	inf	(/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4))
1.0ms	eps	@	-inf	(/ (* eps (+ 1/2 (* eps (/ (+ (* 1/16 eps) (* 1/8 (pow x 2))) (pow x 4))))) x)

rewrite119.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

245×	`log1p-expm1-u`
245×	`expm1-log1p-u`
238×	`add-exp-log`
238×	`add-log-exp`
237×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	372
1	554	364

Stop Event

1×	node limit

Counts

8 → 287

Calls

Call 1

Inputs
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 eps (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 eps (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))) (/.f64 eps (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 eps) (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) eps) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (neg.f64 eps) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 eps (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) (/.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(-.f64 (/.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x))) (/.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x))))
(.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x))))))
(.f64 (-.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -2 binary64) x))))
(.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x)))) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (*.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))) (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))) (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x)) (-.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x #s(literal 2 binary64)) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) (.f64 #s(literal -2 binary64) x))))
(pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
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simplify302.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-r`
449×	`associate-l`
422×	`fma-neg`
346×	`fma-define`
325×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	748	27687
1	1956	26603
2	6913	26459

Stop Event

1×	node limit

Counts

473 → 411

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
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(.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) x)))
(.f64 (sqrt.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))) (sqrt.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(.f64 (sqrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) x)))
(.f64 (.f64 eps (neg.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) x))
(.f64 (/.f64 eps (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 x)))
(.f64 (/.f64 eps (sqrt.f64 x)) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(.f64 (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x)) (/.f64 eps (sqrt.f64 x)))
(.f64 (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 eps x))
(.f64 (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) (cbrt.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 (/.f64 (sqrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) (cbrt.f64 x)))
(pow.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x eps) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)))
(neg.f64 (/.f64 (.f64 eps (neg.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) x))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(exp.f64 (log.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64)))
(-.f64 (+.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(+.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 x #s(literal -2 binary64))) (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) x)) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 32 binary64))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 32 binary64) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (+.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 eps)))
(fma.f64 x #s(literal -2 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 32 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (neg.f64 eps)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps)))
(-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -32 binary64))) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
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(pow.f64 (sqrt.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))) #s(literal 2 binary64))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 x eps) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) (neg.f64 x)))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (.f64 eps (neg.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) x)))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)))))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x)) #s(literal 3 binary64)))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 eps (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 eps x))) #s(literal 1 binary64)))
(.f64 (/.f64 eps x) (fma.f64 eps (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/16 binary64))) (pow.f64 x #s(literal -4 binary64))) #s(literal 1/2 binary64)))

eval455.0ms (6.2%)

Compiler: Compiled 10158 to 7250 computations (28.6% saved)

prune72.0ms (1%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	435	3	438
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	436	12	448

Accuracy

100.0%

Counts

448 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.0%	(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
✓	40.2%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
	40.7%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 eps #s(literal -1/2 binary64))))))
✓	40.7%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	79.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	5.3%	(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
	5.3%	(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓	65.6%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	62.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	5.3%	(*.f64 x #s(literal -2 binary64))
✓	40.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	3.5%	x

Compiler

Compiled 333 to 224 computations (32.7% saved)

regimes21.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 eps #s(literal -1/2 binary64))))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)
(/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)

Outputs

(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

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

(/.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) eps) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)

Calls

3 calls:

7.0ms	eps
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
6.0ms	x

Results

Accuracy	Segments	Branch
95.3%	11	`x`
99.6%	3	`eps`
99.6%	3	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 eps #s(literal -1/2 binary64))))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Outputs
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))

Calls

1 calls:

5.0ms

(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(/.f64 eps (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 eps #s(literal -1/2 binary64))))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))

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

Calls

1 calls:

4.0ms

(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
99.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))

Calls

1 calls:

5.0ms

eps

Results

Accuracy	Segments	Branch
82.9%	2	`eps`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
40.7%	1	`x`
40.7%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
3.0ms	x

Results

Accuracy	Segments	Branch
40.2%	1	`x`
40.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))

Outputs
(*.f64 x #s(literal -2 binary64))

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
5.3%	1	`x`
5.3%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

0.0ms	x
0.0ms	eps

Results

Accuracy	Segments	Branch
3.5%	1	`x`
3.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6803372825361708e-58	1.0090439416096317e-11
0.0ms	-2.174136090830565e-151	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.174136090830565e-151	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.174136090830565e-151	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-8.832099917469037e-299	-4.369582998800595e-301

Results

8.0ms	59×	1	valid
3.0ms	53×	0	valid

Compiler

Compiled 169 to 122 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (34.1% of total)

ival-mult: 1.0ms (17.1% of total)

ival-sqrt: 1.0ms (17.1% of total)

backward-pass: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	645
1	77	645
2	86	645
3	91	645
4	93	645

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 eps #s(literal -7917075081641829/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 x #s(literal -2 binary64))
x

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))) (/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) eps) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal 2826955303645415/14134776518227074636666380005943348126619871175004951664972849610340958208 binary64)) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64)))) (/.f64 (.f64 eps (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (+.f64 (.f64 eps #s(literal 1/16 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))) x)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 x #s(literal 2 binary64)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -2948408144391829/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 eps #s(literal -7917075081641829/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 eps #s(literal -7917075081641829/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64)))))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)))
(/.f64 eps (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 x #s(literal -2 binary64))
x

soundness726.0ms (9.9%)

Rules

839×	`fma-neg`
823×	`associate-r`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
631×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	810	18963
1	2029	18232
2	6902	18204
0	1150	26298
1	3146	23931
0	12	51
1	150	51
2	2114	49
0	691	4294981455
1	1579	4294980928
2	4464	4294980528

Stop Event

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

Compiler

Compiled 659 to 334 computations (49.3% saved)

preprocess62.0ms (0.9%)

Compiler: Compiled 376 to 180 computations (52.1% saved)

analyze329.0ms (4.5%)

sample1.4s (19.6%)

preprocess102.0ms (1.4%)

explain123.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize31.0ms (0.4%)

series10.0ms (0.1%)

rewrite375.0ms (5.1%)

simplify293.0ms (4%)

eval93.0ms (1.3%)

prune64.0ms (0.9%)

localize358.0ms (4.9%)

series54.0ms (0.7%)

rewrite128.0ms (1.7%)

simplify230.0ms (3.1%)

eval202.0ms (2.8%)

prune154.0ms (2.1%)

localize458.0ms (6.3%)

series26.0ms (0.4%)

rewrite208.0ms (2.8%)

simplify257.0ms (3.5%)

eval138.0ms (1.9%)

prune107.0ms (1.5%)

localize300.0ms (4.1%)

series27.0ms (0.4%)

rewrite119.0ms (1.6%)

simplify302.0ms (4.1%)

eval455.0ms (6.2%)

prune72.0ms (1%)

regimes21.0ms (0.3%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

simplify11.0ms (0.2%)

soundness726.0ms (9.9%)

preprocess62.0ms (0.9%)

end0.0ms (0%)

Profiling