Metrics for ENA, Section 1.4, Exercise 4d

analyze23.0ms (0.3%)

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: 12.0ms

ival-<=: 6.0ms (49.2% of total)

ival-sub: 2.0ms (16.4% of total)

ival-mult: 2.0ms (16.4% of total)

ival-sqrt: 2.0ms (16.4% of total)

ival-and: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.6s (20.1%)

Results

403.0ms	4961×	0	valid
762.0ms	3295×	1	valid
11.0ms	160×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 835.0ms

ival-<=: 291.0ms (34.9% of total)

ival-sub: 136.0ms (16.3% of total)

backward-pass: 128.0ms (15.3% of total)

ival-mult: 113.0ms (13.5% of total)

ival-sqrt: 106.0ms (12.7% of total)

ival-and: 37.0ms (4.4% of total)

const: 25.0ms (3% of total)

Bogosity

preprocess117.0ms (1.5%)

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)))

explain114.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
103	1	(5.3433752812701596e-5 2.5089611137356794e-11)	-	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`
0	0	-	-	`x`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`(-.f64 (*.f64 x x) eps)`
0	0	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) eps))`
0	0	-	-	`eps`

Results

21.0ms	312×	0	valid
29.0ms	200×	1	valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sub: 8.0ms (32.5% of total)

ival-mult: 6.0ms (24.3% of total)

ival-sqrt: 6.0ms (24.3% of total)

backward-pass: 5.0ms (20.3% of total)

const: 1.0ms (4.1% 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
▶	63.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize35.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	63.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

10.0ms	156×	0	valid
14.0ms	100×	1	valid

Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sub: 4.0ms (32.9% of total)

ival-mult: 3.0ms (24.6% of total)

ival-sqrt: 3.0ms (24.6% of total)

backward-pass: 2.0ms (16.4% of total)

const: 0.0ms (0% of total)

series8.0ms (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
1.0ms	x	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	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)))

rewrite339.0ms (4.3%)

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))

simplify186.0ms (2.3%)

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 (1.2%)

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

prune59.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	376	7	383
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	8	384

Accuracy

100.0%

Counts

384 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	63.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	58.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	76.8%	(*.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))))))
▶	3.4%	(*.f64 x #s(literal 2 binary64))
▶	43.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	38.0%	(.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))))
▶	43.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 160 to 114 computations (28.8% saved)

localize94.0ms (1.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	99.7%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Results

53.0ms	198×	0	valid
18.0ms	58×	0	invalid

Compiler

Compiled 70 to 22 computations (68.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-sqrt: 12.0ms (34.6% of total)

ival-div: 8.0ms (23.1% of total)

ival-mult: 5.0ms (14.4% of total)

ival-hypot: 5.0ms (14.4% of total)

ival-neg: 2.0ms (5.8% of total)

ival-add: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

backward-pass: 0.0ms (0% of total)

series31.0ms (0.4%)

Counts

5 → 120

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 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))>
#<alt (*.f64 eps (/.f64 #s(literal 1/2 binary64) x))>
#<alt (-.f64 x (sqrt.f64 (neg.f64 eps)))>

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

Calls

30 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
2.0ms	eps	@	inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
1.0ms	eps	@	0	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
1.0ms	eps	@	-inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
1.0ms	x	@	inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))

rewrite140.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`log1p-expm1-u`
792×	`expm1-log1p-u`
589×	`log-prod`
421×	`fma-define`
198×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	245	114
2	3679	114

Stop Event

1×	node limit

Counts

5 → 229

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

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

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-define`
460×	`associate-r`
449×	`*-commutative`
404×	`associate-l`
303×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	861	16687
1	2284	15434

Stop Event

1×	node limit

Counts

349 → 458

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

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))))
(.f64 eps (fma.f64 #s(literal -1/8 binary64) (.f64 eps (/.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) x)))
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(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 eps))) (cbrt.f64 (neg.f64 (sqrt.f64 eps)))) (cbrt.f64 (neg.f64 (sqrt.f64 eps))) x)
(-.f64 x (sqrt.f64 eps))
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 eps))) (sqrt.f64 (neg.f64 (sqrt.f64 eps))) x)
(-.f64 x (sqrt.f64 eps))
(fma.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))) (fma.f64 (neg.f64 (sqrt.f64 eps)) #s(literal 1 binary64) (sqrt.f64 eps)))
(fma.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 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))))
(fma.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 0 binary64) (sqrt.f64 eps)))
(fma.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))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 eps))) (cbrt.f64 eps) (sqrt.f64 eps)))
(fma.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 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(fma.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 (sqrt.f64 eps) (neg.f64 (sqrt.f64 eps))))
(fma.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 0 binary64) (sqrt.f64 eps)))

eval223.0ms (2.8%)

Compiler: Compiled 9611 to 5933 computations (38.3% saved)

prune122.0ms (1.5%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	454	4	458
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	455	11	466

Accuracy

100.0%

Counts

466 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.2%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
▶	44.2%	(/.f64 eps (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x) x)))
✓	76.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	43.8%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
▶	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	63.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	58.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	76.8%	(*.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))))))
✓	3.4%	(*.f64 x #s(literal 2 binary64))
✓	43.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	43.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 187 to 130 computations (30.5% saved)

localize531.0ms (6.7%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
✓	84.6%	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
✓	83.6%	(/.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	100.0%	(+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x) x))
✓	100.0%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x) x)
✓	99.9%	(/.f64 eps (+.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x) x)))
✓	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))))
✓	99.7%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	99.7%	(*.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))))))

Results

209.0ms	102×	1	valid
154.0ms	96×	0	valid
38.0ms	58×	0	invalid

Compiler

Compiled 206 to 109 computations (47.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-fma: 106.0ms (31.2% of total)

ival-pow: 52.0ms (15.3% of total)

ival-add: 48.0ms (14.1% of total)

ival-div: 46.0ms (13.6% of total)

ival-mult: 37.0ms (10.9% of total)

backward-pass: 27.0ms (8% of total)

const: 7.0ms (2.1% of total)

ival-hypot: 6.0ms (1.8% of total)

ival-sub: 5.0ms (1.5% of total)

ival-sqrt: 3.0ms (0.9% of total)

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

series43.0ms (0.5%)

Counts

12 → 288

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	0	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))
2.0ms	eps	@	inf	(/ eps (+ x (+ (* 1/2 (/ (neg eps) x)) x)))
1.0ms	x	@	-inf	(/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
1.0ms	eps	@	-inf	(/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
1.0ms	x	@	0	(/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))

rewrite223.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

306×	`log1p-expm1-u`
306×	`expm1-log1p-u`
302×	`add-cube-cbrt`
299×	`add-exp-log`
298×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	419
1	683	391

Stop Event

1×	node limit

Counts

12 → 299

Calls

Call 1

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

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

simplify522.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

636×	`fma-define`
400×	`distribute-lft-in`
393×	`distribute-rgt-in`
386×	`times-frac`
313×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1163	26461
1	3210	24885

Stop Event

1×	node limit

Counts

587 → 595

Calls

Call 1

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

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

eval274.0ms (3.4%)

Compiler: Compiled 19880 to 13941 computations (29.9% saved)

prune158.0ms (2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	779	7	786
Fresh	0	0	0
Picked	3	2	5
Done	0	6	6
Total	782	15	797

Accuracy

100.0%

Counts

797 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(/.f64 (/.f64 eps x) (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
✓	76.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	44.2%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
▶	44.2%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
▶	43.9%	(/.f64 eps (+.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))))
▶	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 eps x) (/.f64 #s(literal -1/2 binary64) x)))))
	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
✓	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	63.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	58.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	76.8%	(*.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))))))
✓	3.4%	(*.f64 x #s(literal 2 binary64))
▶	5.6%	(*.f64 x #s(literal -2 binary64))
✓	43.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	43.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 261 to 176 computations (32.6% saved)

localize358.0ms (4.5%)

Localize:

Found 14 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x))))
✓	100.0%	(-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x))
✓	99.9%	(/.f64 eps (+.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))))
✓	99.3%	(*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.9%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 eps x) (/.f64 #s(literal -1/2 binary64) x)))))
✓	99.6%	(*.f64 (/.f64 eps x) (/.f64 #s(literal -1/2 binary64) x))
✓	84.6%	(.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 eps x) (/.f64 #s(literal -1/2 binary64) x))))
✓	100.0%	(+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	100.0%	(+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	99.9%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
	99.6%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	(+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	100.0%	(+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓	99.9%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))

Results

291.0ms

256×

valid

Compiler

Compiled 183 to 90 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-mult: 174.0ms (70.6% of total)

ival-div: 42.0ms (17% of total)

ival-add: 17.0ms (6.9% of total)

ival-sub: 10.0ms (4.1% of total)

const: 4.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series97.0ms (1.2%)

Counts

13 → 309

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(/ eps (+ x (+ x (* eps (/ -1/2 x)))))
1.0ms	eps	@	0	(* eps (- (/ x eps) (/ 1/2 x)))
1.0ms	eps	@	-inf	(* eps (- (/ x eps) (/ 1/2 x)))
1.0ms	x	@	0	(* eps (- (/ x eps) (/ 1/2 x)))
1.0ms	x	@	inf	(* eps (- (/ x eps) (/ 1/2 x)))

rewrite148.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-expm1-u`
278×	`expm1-log1p-u`
271×	`add-cube-cbrt`
270×	`add-exp-log`
270×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	511
1	577	468

Stop Event

1×	node limit

Counts

13 → 433

Calls

Call 1

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

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

simplify280.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

511×	`times-frac`
474×	`associate-r`
403×	`associate-l`
350×	`fma-define`
195×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1189	35109
1	3209	33601

Stop Event

1×	node limit

Counts

742 → 663

Calls

Call 1

Inputs
(*.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 1/32 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 (+.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 #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))
(-.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 (+.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 #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))
(+.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)))
(+.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)))
(*.f64 #s(literal -2 binary64) x)
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(fma.f64 (sqrt.f64 (/.f64 x eps)) (sqrt.f64 (/.f64 x eps)) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))) (/.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)))
(*.f64 (sqrt.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)) (sqrt.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))) (-.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) x))))
(/.f64 (-.f64 (pow.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) x))
(pow.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x))))
(cbrt.f64 (pow.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)))
(log1p.f64 (expm1.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)))
(exp.f64 (log.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)) #s(literal 1 binary64)))
(fma.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)) eps x)
(fma.f64 #s(literal 1 binary64) x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (sqrt.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))) (sqrt.f64 (.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))

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

eval257.0ms (3.2%)

Compiler: Compiled 13622 to 8152 computations (40.2% saved)

prune318.0ms (4%)

Pruning

28 alts after pruning (16 fresh and 12 done)

	Pruned	Kept	Total
New	670	16	686
Fresh	2	0	2
Picked	1	4	5
Done	0	8	8
Total	673	28	701

Accuracy

100.0%

Counts

701 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	44.2%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
	31.6%	(/.f64 eps (+.f64 x (.f64 eps (/.f64 (-.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (.f64 eps #s(literal 1 binary64))) (.f64 eps (.f64 x #s(literal 2 binary64)))))))
	31.5%	(/.f64 eps (+.f64 x (.f64 eps (/.f64 (-.f64 (.f64 x (neg.f64 x)) (.f64 eps #s(literal -1/2 binary64))) (.f64 eps (neg.f64 x))))))
	43.9%	(/.f64 eps (+.f64 x (.f64 eps (/.f64 (-.f64 x (.f64 (/.f64 eps x) #s(literal 1/2 binary64))) (*.f64 (/.f64 eps x) x)))))
	31.5%	(/.f64 eps (+.f64 x (.f64 eps (/.f64 (-.f64 x (.f64 eps (/.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 eps x) x)))))
	43.9%	(/.f64 eps (+.f64 x (.f64 eps (/.f64 (+.f64 (neg.f64 x) (.f64 eps (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 eps x) (neg.f64 x))))))
	43.9%	(/.f64 eps (+.f64 x (.f64 eps (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))) eps))))
	43.3%	(/.f64 eps (+.f64 x (*.f64 eps (/.f64 x eps))))
	11.5%	(/.f64 eps (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	43.9%	(/.f64 eps (+.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))))
	11.5%	(/.f64 eps (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
	44.1%	(/.f64 eps (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x eps)))))
	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x))))
	43.8%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (.f64 eps #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x))))))
	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))))
	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))))
	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 x eps) x)))))
✓	44.1%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (/.f64 eps x) (/.f64 #s(literal -1/2 binary64) x)))))
✓	43.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	63.0%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	58.7%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	44.1%	(*.f64 (/.f64 eps x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 eps x) (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))))
✓	76.8%	(*.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))))))
✓	3.4%	(*.f64 x #s(literal 2 binary64))
✓	5.6%	(*.f64 x #s(literal -2 binary64))
✓	43.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	43.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 823 to 486 computations (40.9% saved)

regimes175.0ms (2.2%)

Counts

35 → 2

Calls

Call 1

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

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

Calls

3 calls:

87.0ms	x
19.0ms	eps
15.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
90.7%	4	`x`
99.3%	2	`eps`
99.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes40.0ms (0.5%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	eps
15.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
85.4%	2	`eps`
98.7%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes35.0ms (0.4%)

Counts

26 → 4

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	eps
13.0ms	x

Results

Accuracy	Segments	Branch
83.1%	2	`eps`
88.3%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes75.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

66.0ms	x
7.0ms	eps

Results

Accuracy	Segments	Branch
44.2%	1	`eps`
44.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
43.6%	1	`x`
43.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -1.9b remaining (-3.1%)

Threshold costs -1.9b (-3.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	eps

Results

Accuracy	Segments	Branch
5.6%	1	`eps`
5.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.460408811141256e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.460408811141256e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch46.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	6.548756027999852e-75	1.260782775878856e-74
16.0ms	7.784848869304122e-103	6.914388658616236e-100
17.0ms	4.66456648981422e-117	1.2638556593423372e-114

Results

10.0ms	189×	0	valid
17.0ms	131×	1	valid
2.0ms	30×	0	invalid

Compiler

Compiled 455 to 310 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 5.0ms (30.4% of total)

ival-mult: 4.0ms (24.3% of total)

ival-sqrt: 4.0ms (24.3% of total)

backward-pass: 3.0ms (18.2% of total)

const: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative`
6×	`sub-neg`
6×	`*-commutative`
4×	`not-or`
4×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	458
1	64	444
2	76	444
3	84	440
4	87	440
5	88	440

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(if (<=.f64 x #s(literal 3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x #s(literal 7683391208296923/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 eps (+.f64 x (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (if (<=.f64 x #s(literal 7740736710071047/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 x #s(literal -2 binary64))

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(if (<=.f64 x #s(literal 3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x #s(literal 7683391208296923/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (/.f64 eps (+.f64 x (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (if (<=.f64 x #s(literal 7740736710071047/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))))
(if (<=.f64 x #s(literal 3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (or (<=.f64 x #s(literal 7683391208296923/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (not (<=.f64 x #s(literal 7740736710071047/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))) (-.f64 x (sqrt.f64 (neg.f64 eps)))))
(if (or (<=.f64 x #s(literal 3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (not (or (<=.f64 x #s(literal 7683391208296923/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64)) (not (<=.f64 x #s(literal 7740736710071047/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)))))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(if (or (<=.f64 x #s(literal 3881737571769141/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (and (not (<=.f64 x #s(literal 7683391208296923/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 binary64))) (<=.f64 x #s(literal 7740736710071047/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)))) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))))
(/.f64 eps (+.f64 x (+.f64 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 x #s(literal -2 binary64))

soundness952.0ms (12%)

Rules

759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
636×	`fma-define`
631×	`unpow-prod-down`
533×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1163	26461
1	3210	24885
0	861	16687
1	2284	15434
0	691	4294981455
1	1579	4294980928
2	4464	4294980528
0	12	51
1	150	51
2	2114	49

Stop Event

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

Compiler

Compiled 707 to 378 computations (46.5% saved)

preprocess57.0ms (0.7%)

Compiler: Compiled 266 to 132 computations (50.4% saved)

analyze23.0ms (0.3%)

sample1.6s (20.1%)

preprocess117.0ms (1.5%)

explain114.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.4%)

series8.0ms (0.1%)

rewrite339.0ms (4.3%)

simplify186.0ms (2.3%)

eval93.0ms (1.2%)

prune59.0ms (0.7%)

localize94.0ms (1.2%)

series31.0ms (0.4%)

rewrite140.0ms (1.8%)

simplify150.0ms (1.9%)

eval223.0ms (2.8%)

prune122.0ms (1.5%)

localize531.0ms (6.7%)

series43.0ms (0.5%)

rewrite223.0ms (2.8%)

simplify522.0ms (6.6%)

eval274.0ms (3.4%)

prune158.0ms (2%)

localize358.0ms (4.5%)

series97.0ms (1.2%)

rewrite148.0ms (1.9%)

simplify280.0ms (3.5%)

eval257.0ms (3.2%)

prune318.0ms (4%)

regimes175.0ms (2.2%)

regimes40.0ms (0.5%)

regimes35.0ms (0.4%)

regimes75.0ms (0.9%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch46.0ms (0.6%)

simplify17.0ms (0.2%)

soundness952.0ms (12%)

preprocess57.0ms (0.7%)

end0.0ms (0%)

Profiling