Metrics for ENA, Section 1.4, Exercise 4d

analyze25.0ms (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

Operation ival-<=, time spent: 4.0ms, 33.0% of total-time

Operation ival-mult, time spent: 3.0ms, 25.0% of total-time

Operation ival-sub, time spent: 2.0ms, 17.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 17.0% of total-time

Operation ival-and, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 1.0ms, 8.0% of total-time

sample2.3s (27.1%)

Results

1.2s	6062×	256	valid
335.0ms	1125×	512	valid
377.0ms	1049×	1024	valid
18.0ms	165×	256	invalid
7.0ms	19×	2048	valid
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 848.0ms

Operation ival-mult, time spent: 274.0ms, 32.0% of total-time

Operation ival-<=, time spent: 225.0ms, 27.0% of total-time

Operation ival-sub, time spent: 155.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 114.0ms, 13.0% of total-time

Operation ival-and, time spent: 47.0ms, 6.0% of total-time

Operation const, time spent: 33.0ms, 4.0% of total-time

Bogosity

preprocess163.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

220×	`fmm-def`
125×	`fma-define`
54×	`sub-neg`
29×	`cancel-sign-sub-inv`
25×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

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

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)))

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

Operation ival-sub, time spent: 10.0ms, 41.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 33.0% of total-time

Operation ival-mult, time spent: 6.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

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
▶	60.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize44.0ms (0.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	100.0%	(-.f64 (*.f64 x x) eps)
✓	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

Operation ival-sub, time spent: 7.0ms, 50.0% of total-time

Operation ival-mult, time spent: 3.0ms, 22.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 22.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series12.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

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

Calls

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

rewrite251.0ms (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	74
1	150	74
2	2114	70

Stop Event

1×	node limit

Counts

3 → 314

Calls

Call 1

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

simplify241.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

587×	`fmm-def`
387×	`associate-r`
353×	`associate-l`
318×	`*-commutative`
307×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	879	4294987429
1	2080	4294986230
2	6222	4294985392

Stop Event

1×	node limit

Counts

386 → 522

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

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

eval202.0ms (2.4%)

Compiler: Compiled 10712 to 6203 computations (42.1% saved)

prune112.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	511	11	522
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	511	12	523

Accuracy

99.9%

Counts

523 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(/.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)
▶	80.8%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	6.9%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.3%	(-.f64 x x)
	80.7%	(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
▶	3.5%	(*.f64 x #s(literal 2 binary64))
	45.3%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
▶	40.9%	(.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))))
▶	45.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 234 to 164 computations (29.9% saved)

localize251.0ms (3%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	89.0%	(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓	88.6%	(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
✓	76.9%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	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)))))

Compiler

Compiled 131 to 66 computations (49.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

Operation ival-div, time spent: 38.0ms, 28.0% of total-time

Operation ival-mult, time spent: 37.0ms, 27.0% of total-time

Operation ival-pow, time spent: 28.0ms, 20.0% of total-time

Operation composed, time spent: 10.0ms, 7.0% of total-time

Operation ival-add, time spent: 10.0ms, 7.0% of total-time

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 4.0% of total-time

Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

Operation ival-sub, time spent: 2.0ms, 1.0% of total-time

series34.0ms (0.4%)

Counts

6 → 114

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	inf	(- x (+ x (* -1/2 (/ eps x))))
3.0ms	x	@	inf	(* eps (+ (* 1/8 (/ eps (pow x 3))) (* 1/2 (/ 1 x))))
2.0ms	x	@	0	(/ 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)))))))
2.0ms	x	@	-inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))

rewrite206.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u`
207×	`add-cube-cbrt`
206×	`expm1-log1p-u`
203×	`add-exp-log`
203×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	206
1	456	186
2	7114	186

Stop Event

1×	node limit

Counts

6 → 230

Calls

Call 1

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

simplify159.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-r`
521×	`fma-define`
473×	`associate-l`
250×	`*-commutative`
235×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	889	17878
1	2457	16500

Stop Event

1×	node limit

Counts

344 → 439

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))))) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 2 binary64) x)
(.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))))))
(.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)))))))
(.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 (.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 6 binary64))) (pow.f64 x #s(literal 6 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))))))))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))
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(exp.f64 (.f64 (log.f64 (.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)))) #s(literal 1 binary64)))
(fma.f64 eps (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) eps (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 eps (pow.f64 x #s(literal -3 binary64))))
(*.f64 eps (pow.f64 x #s(literal -3 binary64)))
(*.f64 eps (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
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(.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 (cbrt.f64 eps) x) (pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) x))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 eps x))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3 binary64))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 eps) x) (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 eps (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (cbrt.f64 eps) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (cbrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) x))
(pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 eps) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 eps) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) #s(literal -1 binary64))
(neg.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))))
(sqrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))) (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (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 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) (-.f64 (.f64 (pow.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (+.f64 (.f64 (.f64 eps #s(literal 1/8 binary64)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x (.f64 eps #s(literal 1/8 binary64)))) (.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 eps #s(literal 1/8 binary64))) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 eps #s(literal 1/8 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 eps #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 (.f64 eps #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (/.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 (.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)))
(.f64 eps (+.f64 (/.f64 (.f64 eps #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 #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 (fma.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 eps (/.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) x)))
(.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/16 binary64) (.f64 eps (/.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) (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 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))))
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(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (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 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64))) (.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/16 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (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 (.f64 eps #s(literal 1/8 binary64)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 eps (.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x (.f64 eps #s(literal 1/8 binary64)))) (.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 eps (.f64 #s(literal 1/8 binary64) x))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (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 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/64 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal -1/64 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (*.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 (.f64 eps #s(literal 1/8 binary64))) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 eps #s(literal 1/8 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (pow.f64 (/.f64 (cbrt.f64 (*.f64 eps #s(literal 1/8 binary64))) x) #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 eps #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 (.f64 eps #s(literal 1/8 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1/2 binary64) x))

eval221.0ms (2.6%)

Compiler: Compiled 9781 to 6633 computations (32.2% saved)

prune127.0ms (1.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	435	4	439
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	437	14	451

Accuracy

99.9%

Counts

451 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.3%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	80.8%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	45.8%	(/.f64 eps (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
✓	6.9%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.3%	(-.f64 x x)
▶	45.3%	(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
▶	80.7%	(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
✓	3.5%	(*.f64 x #s(literal 2 binary64))
	45.3%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
▶	30.6%	(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
✓	45.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 240 to 167 computations (30.4% saved)

localize302.0ms (3.6%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 eps x))
✓	88.6%	(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
✓	82.7%	(.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
✓	72.8%	(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	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))
✓	99.7%	(/.f64 #s(literal -1/2 binary64) (/.f64 x 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 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))

Compiler

Compiled 169 to 86 computations (49.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

Operation ival-div, time spent: 72.0ms, 46.0% of total-time

Operation ival-mult, time spent: 22.0ms, 14.0% of total-time

Operation ival-pow, time spent: 19.0ms, 12.0% of total-time

Operation composed, time spent: 16.0ms, 10.0% of total-time

Operation ival-add, time spent: 13.0ms, 8.0% of total-time

Operation const, time spent: 5.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 3.0% of total-time

Operation ival-neg, time spent: 4.0ms, 3.0% of total-time

Operation ival-sub, time spent: 1.0ms, 1.0% of total-time

series36.0ms (0.4%)

Counts

9 → 192

Calls

Call 1

Inputs
#<alt (*.f64 (+.f64 eps #s(literal 0 binary64)) (/.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 -1/2 binary64) (/.f64 x eps))>
#<alt (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))>
#<alt (.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))>

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

Calls

54 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(/ 1 (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
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)))))))
1.0ms	x	@	0	(+ (/ 1/2 (* eps x)) (/ 1/8 (pow x 3)))

rewrite210.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

233×	`log1p-expm1-u`
233×	`expm1-log1p-u`
231×	`add-cube-cbrt`
229×	`add-exp-log`
229×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	318
1	559	295

Stop Event

1×	node limit

Counts

9 → 368

Calls

Call 1

Inputs
(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.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 -1/2 binary64) (/.f64 x eps))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(.f64 eps (.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1/2 binary64) (*.f64 eps x))

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

simplify396.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

774×	`times-frac`
711×	`fma-define`
373×	`*-commutative`
262×	`distribute-rgt-in`
259×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1279	27731
1	3572	26089

Stop Event

1×	node limit

Counts

560 → 669

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 x (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))
(*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)
(*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 (sqrt.f64 (/.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)))))
(+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (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) (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)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.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)))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.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 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/16 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 1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 eps #s(literal 3 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 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/16 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 1/8 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)
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(/.f64 (+.f64 (pow.f64 (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64)))) (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))) (.f64 (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64)))) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64)))) (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))) (-.f64 (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64)))) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(/.f64 (.f64 eps (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 eps (.f64 x #s(literal 1/8 binary64))))) (.f64 eps (*.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 eps (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 x (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (.f64 eps (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 eps (.f64 x #s(literal 1/8 binary64))))) (.f64 eps (.f64 eps (.f64 x (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))) (.f64 eps (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 eps (*.f64 x (pow.f64 x #s(literal 3 binary64)))))))))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (.f64 eps (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 eps (.f64 x #s(literal 1/8 binary64)))) eps) (.f64 eps (*.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))) eps) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 x (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)))) eps) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(pow.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))))))
(cbrt.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(log1p.f64 (expm1.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(exp.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))))
(exp.f64 (.f64 (log.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) #s(literal 1 binary64)))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) eps (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) #s(literal 0 binary64)))
(+.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))))
(+.f64 (.f64 eps (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64))))) (.f64 eps (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(+.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))) #s(literal 0 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(+.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))
(+.f64 (.f64 (/.f64 eps (.f64 eps (/.f64 x #s(literal 1/2 binary64)))) eps) (.f64 (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) eps))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))) (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 eps (.f64 x #s(literal 1/8 binary64))))) (.f64 eps (*.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 eps x) #s(literal 3 binary64))) (.f64 #s(literal 1/512 binary64) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/16 binary64) (.f64 eps (.f64 x (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x)) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))) eps)
(pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 eps (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 eps (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (pow.f64 eps #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) eps))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) eps))
(.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 eps x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) eps) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 eps (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 eps x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 eps x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(exp.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (.f64 eps x))) #s(literal 1 binary64)))

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

eval560.0ms (6.7%)

Compiler: Compiled 18117 to 12613 computations (30.4% saved)

prune149.0ms (1.8%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	763	5	768
Fresh	1	3	4
Picked	1	4	5
Done	0	5	5
Total	765	17	782

Accuracy

99.9%

Counts

782 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	46.3%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	80.8%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) eps))
✓	6.9%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
▶	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	56.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.3%	(-.f64 x x)
✓	45.3%	(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
	46.1%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) eps)
✓	80.7%	(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
✓	3.5%	(*.f64 x #s(literal 2 binary64))
▶	5.3%	(*.f64 x #s(literal -2 binary64))
	45.3%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	32.2%	(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
▶	32.2%	(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
✓	45.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 244 to 167 computations (31.6% saved)

localize194.0ms (2.3%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) eps))
✓	99.8%	(/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) eps)
	99.7%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	99.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 eps x))
✓	99.7%	(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
✓	63.2%	(.f64 eps (/.f64 #s(literal 1/2 binary64) (.f64 eps x)))
✓	100.0%	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓	76.9%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))

Compiler

Compiled 113 to 50 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

Operation ival-mult, time spent: 32.0ms, 30.0% of total-time

Operation ival-div, time spent: 28.0ms, 26.0% of total-time

Operation composed, time spent: 23.0ms, 21.0% of total-time

Operation ival-add, time spent: 11.0ms, 10.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 5.0% of total-time

Operation const, time spent: 3.0ms, 3.0% of total-time

Operation ival-sub, time spent: 3.0ms, 3.0% of total-time

Operation ival-neg, time spent: 2.0ms, 2.0% of total-time

series18.0ms (0.2%)

Counts

7 → 168

Calls

Call 1

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

Calls

42 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	0	(- x (sqrt (neg eps)))
1.0ms	x	@	inf	(/ (+ (* x 2) (* eps (/ -1/2 x))) eps)
1.0ms	eps	@	-inf	(/ (+ (* x 2) (* eps (/ -1/2 x))) eps)
0.0ms	x	@	0	(/ (+ (* x 2) (* eps (/ -1/2 x))) eps)
0.0ms	eps	@	0	(/ (+ (* x 2) (* eps (/ -1/2 x))) eps)

rewrite190.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`log1p-expm1-u`
182×	`expm1-log1p-u`
180×	`add-exp-log`
180×	`add-log-exp`
180×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	231
1	409	200
2	5931	200

Stop Event

1×	node limit

Counts

7 → 236

Calls

Call 1

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

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

simplify382.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

650×	`fmm-def`
424×	`fma-define`
392×	`*-commutative`
371×	`associate-r`
336×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	873	16129
1	2259	15475
2	7589	15469

Stop Event

1×	node limit

Counts

404 → 461

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

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

eval208.0ms (2.5%)

Compiler: Compiled 9263 to 6082 computations (34.3% saved)

prune240.0ms (2.8%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	521	6	527
Fresh	1	2	3
Picked	1	4	5
Done	2	7	9
Total	525	19	544

Accuracy

99.9%

Counts

544 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.7%	(/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) (*.f64 x eps))
✓	80.8%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	46.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))
	5.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
	45.3%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
✓	6.9%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.7%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	4.3%	(-.f64 x x)
	46.1%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 eps (.f64 x #s(literal -2 binary64))))) eps)
✓	80.7%	(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
✓	3.5%	(*.f64 x #s(literal 2 binary64))
✓	5.3%	(*.f64 x #s(literal -2 binary64))
	45.3%	(.f64 eps (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) x))
	45.3%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	32.2%	(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
✓	32.2%	(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
✓	45.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 428 to 272 computations (36.4% saved)

regimes83.0ms (1%)

Counts

27 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(-.f64 x 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 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(.f64 eps (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) x))
(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) (*.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))
(-.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 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) eps)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 eps (.f64 x #s(literal -2 binary64))))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))) eps))
(/.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 eps (.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 eps x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
(*.f64 (+.f64 eps #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))))
(/.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)

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

Calls

3 calls:

29.0ms	eps
27.0ms	x
25.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
90.5%	2	`x`
98.9%	2	`eps`
98.9%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes129.0ms (1.5%)

Counts

24 → 2

Calls

Call 1

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

Outputs
(-.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))))

Calls

2 calls:

93.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
35.0ms	eps

Results

Accuracy	Segments	Branch
79.6%	4	`eps`
98.9%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(-.f64 x 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 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(.f64 eps (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) x))
(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) (*.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

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

Calls

1 calls:

7.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes39.0ms (0.5%)

Counts

15 → 2

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(-.f64 x 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 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(.f64 eps (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) x))
(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) (*.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))
(-.f64 x (sqrt.f64 (neg.f64 eps)))

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

Calls

1 calls:

38.0ms

Results

Accuracy	Segments	Branch
89.1%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(-.f64 x 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 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(.f64 eps (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) x))
(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) (*.f64 x eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))

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

Calls

2 calls:

6.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
46.1%	1	`eps`
46.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(-.f64 x 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 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps)))
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 eps (.f64 eps (/.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(.f64 eps (.f64 eps (/.f64 (/.f64 #s(literal 1/2 binary64) x) eps)))
(.f64 eps (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) eps) eps) x))
(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 (.f64 (.f64 eps #s(literal 1/2 binary64)) eps) (*.f64 x eps))

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

Calls

2 calls:

5.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
45.5%	1	`x`
45.5%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -1.7b remaining (-2.8%)

Threshold costs -1.7b (-2.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.8847340884619485e-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	-1.8847340884619485e-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	-1.8847340884619485e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.1785408137371093e-106	2.1301956291195177e-105

Results

9.0ms	80×	256	valid
4.0ms	15×	512	valid
0.0ms	5×	256	invalid
0.0ms	1×	256	valid

Compiler

Compiled 159 to 118 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-sub, time spent: 1.0ms, 30.0% of total-time

Operation ival-mult, time spent: 1.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 30.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
8×	`+-commutative`
6×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	525
1	67	525
2	76	525
3	81	525
4	83	525

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.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)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps)))
(if (<=.f64 x #s(literal 1355681185995627/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))
(*.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 -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (fma.f64 x #s(literal 2 binary64) (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.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)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps)))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64))) eps)))
(if (<=.f64 x #s(literal 1355681185995627/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps)))
(if (<=.f64 x #s(literal 1355681185995627/645562469521727147413979793000752968582426448207305878207664839135161905504210298657411338320034457858975792993186873344 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 #s(literal 2 binary64) x)) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (.f64 x #s(literal 2 binary64))) eps))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 x #s(literal -2 binary64))

Compiler

Compiled 148 to 90 computations (39.2% saved)

soundness797.0ms (9.5%)

Rules

774×	`times-frac`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
711×	`fma-define`
631×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	318
1	559	295
0	1279	27731
1	3572	26089
0	889	17878
1	2457	16500
0	879	4294987429
1	2080	4294986230
2	6222	4294985392
0	12	74
1	150	74
2	2114	70

Stop Event

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

Compiler

Compiled 555 to 299 computations (46.1% saved)

end0.0ms (0%)

preprocess86.0ms (1%)

Compiler: Compiled 316 to 156 computations (50.6% saved)

analyze25.0ms (0.3%)

sample2.3s (27.1%)

preprocess163.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (0.5%)

series12.0ms (0.1%)

rewrite251.0ms (3%)

simplify241.0ms (2.9%)

eval202.0ms (2.4%)

prune112.0ms (1.3%)

localize251.0ms (3%)

series34.0ms (0.4%)

rewrite206.0ms (2.4%)

simplify159.0ms (1.9%)

eval221.0ms (2.6%)

prune127.0ms (1.5%)

localize302.0ms (3.6%)

series36.0ms (0.4%)

rewrite210.0ms (2.5%)

simplify396.0ms (4.7%)

eval560.0ms (6.7%)

prune149.0ms (1.8%)

localize194.0ms (2.3%)

series18.0ms (0.2%)

rewrite190.0ms (2.3%)

simplify382.0ms (4.5%)

eval208.0ms (2.5%)

prune240.0ms (2.8%)

regimes83.0ms (1%)

regimes129.0ms (1.5%)

regimes8.0ms (0.1%)

regimes39.0ms (0.5%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

simplify13.0ms (0.2%)

soundness797.0ms (9.5%)

end0.0ms (0%)

preprocess86.0ms (1%)

Profiling