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, 34.0% of total-time

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

Operation ival-mult, 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, 9.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

sample2.1s (22.4%)

Results

1.2s	6013×	256	valid
271.0ms	1151×	512	valid
368.0ms	1068×	1024	valid
22.0ms	176×	256	invalid
9.0ms	23×	2048	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-sqrt, time spent: 353.0ms, 33.0% of total-time

Operation ival-<=, time spent: 344.0ms, 32.0% of total-time

Operation ival-mult, time spent: 153.0ms, 14.0% of total-time

Operation ival-sub, time spent: 148.0ms, 14.0% of total-time

Operation ival-and, time spent: 45.0ms, 4.0% of total-time

Operation const, time spent: 32.0ms, 3.0% of total-time

Bogosity

preprocess164.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

440×	`fma-neg`
250×	`fma-define`
108×	`sub-neg`
58×	`cancel-sign-sub-inv`
58×	`unsub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
99	-	-	`(-.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: 26.0ms

Operation ival-sub, time spent: 12.0ms, 46.0% of total-time

Operation ival-mult, time spent: 7.0ms, 27.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 23.0% 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
▶	65.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize41.0ms (0.4%)

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)
✓	65.4%	(-.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: 11.0ms

Operation ival-sub, time spent: 4.0ms, 36.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 27.0% of total-time

Operation ival-mult, time spent: 3.0ms, 27.0% of total-time

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

series20.0ms (0.2%)

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
8.0ms	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	@	inf	(sqrt (- (* x x) eps))
1.0ms	eps	@	0	(- x (sqrt (- (* x x) eps)))

rewrite278.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`unpow-prod-down`
922×	`fma-define`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
668×	`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)))

simplify239.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`fma-neg`
776×	`associate-r`
708×	`associate-l`
636×	`*-commutative`
614×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	879	4294987429
1	2065	4294986230
2	6215	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 x (neg.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))))))
(.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 (-.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))))) (neg.f64 x))
(*.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 (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)))

eval212.0ms (2.2%)

Compiler: Compiled 10706 to 6199 computations (42.1% saved)

prune93.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	510	12	522
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	510	13	523

Accuracy

99.8%

Counts

523 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.8%	(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) x)
	39.1%	(/.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)
▶	79.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	62.0%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
▶	7.6%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	65.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	59.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.1%	(-.f64 x x)
▶	3.6%	(*.f64 x #s(literal 2 binary64))
	41.2%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	28.7%	(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	35.9%	(.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))))
▶	41.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 294 to 212 computations (27.9% saved)

localize289.0ms (3.1%)

Localize:

Found 9 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)))
✓	99.7%	(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
✓	90.2%	(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓	87.1%	(.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))))
✓	100.0%	(+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓	82.3%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	99.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Compiler

Compiled 131 to 66 computations (49.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

Operation ival-mult, time spent: 38.0ms, 30.0% of total-time

Operation ival-div, time spent: 32.0ms, 25.0% of total-time

Operation ival-pow, time spent: 23.0ms, 18.0% of total-time

Operation composed, time spent: 10.0ms, 8.0% of total-time

Operation ival-add, time spent: 10.0ms, 8.0% 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, 2.0% of total-time

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

series55.0ms (0.6%)

Counts

9 → 159

Calls

Call 1

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

Calls

54 calls:

Time	Variable		Point	Expression
12.0ms	eps	@	-inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
5.0ms	x	@	-inf	(/ eps (pow x 3))
3.0ms	x	@	0	(* 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)))))))

rewrite217.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u`
366×	`associate-r`
244×	`associate-l`
207×	`add-cube-cbrt`
206×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	280
1	456	252
2	7114	252

Stop Event

1×	node limit

Counts

9 → 315

Calls

Call 1

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

simplify241.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-r`
1324×	`fma-define`
644×	`distribute-rgt-in`
644×	`distribute-lft-in`
600×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1096	24050
1	2959	22019

Stop Event

1×	node limit

Counts

474 → 630

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

eval381.0ms (4%)

Compiler: Compiled 13989 to 9518 computations (32% saved)

prune311.0ms (3.3%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	623	7	630
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	625	18	643

Accuracy

99.9%

Counts

643 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) x)
	42.3%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
	42.3%	(/.f64 eps (+.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x)))
✓	79.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	41.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
	62.0%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
	5.6%	(-.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	7.6%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
▶	5.6%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
	7.6%	(-.f64 x (*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
✓	65.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.1%	(-.f64 x x)
✓	3.6%	(*.f64 x #s(literal 2 binary64))
▶	39.1%	(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
	41.2%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	28.7%	(.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))))
✓	41.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 346 to 239 computations (30.9% saved)

localize444.0ms (4.7%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x)
✓	99.9%	(/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	87.1%	(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
✓	80.9%	(*.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	100.0%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	99.7%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	100.0%	(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))
✓	100.0%	(-.f64 (pow.f64 x #s(literal 2 binary64)) eps)
✓	81.8%	(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) x)

Compiler

Compiled 134 to 85 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 295.0ms

Operation ival-div, time spent: 129.0ms, 44.0% of total-time

Operation ival-pow, time spent: 106.0ms, 36.0% of total-time

Operation ival-mult, time spent: 21.0ms, 7.0% of total-time

Operation ival-sub, time spent: 13.0ms, 4.0% of total-time

Operation ival-add, time spent: 7.0ms, 2.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

Operation composed, time spent: 5.0ms, 2.0% of total-time

Operation ival-neg, time spent: 5.0ms, 2.0% of total-time

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

series53.0ms (0.6%)

Counts

10 → 213

Calls

Call 1

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

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

Calls

57 calls:

Time	Variable		Point	Expression
16.0ms	x	@	-inf	(+ (* (pow (- (pow x 2) eps) 1/4) (neg (pow (- (pow x 2) eps) 1/4))) x)
5.0ms	x	@	0	(/ 1/8 (pow x 2))
1.0ms	x	@	0	(pow (- (pow x 2) eps) 1/4)
1.0ms	eps	@	inf	(pow (- (pow x 2) eps) 1/4)
1.0ms	x	@	inf	(pow (- (pow x 2) eps) 1/4)

rewrite218.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`log1p-expm1-u`
356×	`associate-r`
226×	`associate-l`
207×	`expm1-log1p-u`
201×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	306
1	449	251
2	6883	251

Stop Event

1×	node limit

Counts

10 → 296

Calls

Call 1

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

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

simplify199.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1210×	`fma-define`
886×	`associate-r`
790×	`*-commutative`
770×	`associate-l`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	976	19372
1	2402	18578

Stop Event

1×	node limit

Counts

509 → 550

Calls

Call 1

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

eval330.0ms (3.5%)

Compiler: Compiled 15121 to 10116 computations (33.1% saved)

prune125.0ms (1.3%)

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	700	4	704
Fresh	0	8	8
Picked	2	3	5
Done	1	4	5
Total	703	19	722

Accuracy

99.9%

Counts

722 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.8%	(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) x)
	42.3%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
	42.3%	(/.f64 eps (+.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x)))
✓	79.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	41.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
▶	62.0%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
▶	5.6%	(-.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	7.6%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	5.6%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
▶	7.6%	(-.f64 x (*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
✓	65.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	39.2%	(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x))
▶	41.2%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	5.6%	(*.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x eps)))
	28.7%	(.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))))
✓	41.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
	3.6%	x
▶	4.1%	#s(literal 0 binary64)

Compiler

Compiled 330 to 226 computations (31.5% saved)

localize257.0ms (2.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))
✓	99.8%	(*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))
✓	82.3%	(-.f64 x (*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
✓	100.0%	(-.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	99.7%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	100.0%	(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
✓	82.3%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 182.0ms

Operation ival-div, time spent: 133.0ms, 73.0% of total-time

Operation ival-mult, time spent: 18.0ms, 10.0% of total-time

Operation composed, time spent: 10.0ms, 6.0% of total-time

Operation ival-add, time spent: 6.0ms, 3.0% of total-time

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

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

Operation const, time spent: 3.0ms, 2.0% of total-time

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

series56.0ms (0.6%)

Counts

7 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
37.0ms	eps	@	-inf	(sqrt (+ (* (sqrt (neg eps)) (sqrt (neg eps))) (* x x)))
1.0ms	eps	@	0	(- x (* eps (+ (/ x eps) (/ -1/2 x))))
1.0ms	eps	@	-inf	(- x (* eps (+ (/ x eps) (/ -1/2 x))))
1.0ms	x	@	0	(- x (* eps (+ (/ x eps) (/ -1/2 x))))
1.0ms	x	@	inf	(- x (* eps (+ (/ x eps) (/ -1/2 x))))

rewrite184.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

845×	`log1p-expm1-u`
344×	`associate-r`
224×	`associate-l`
191×	`expm1-log1p-u`
189×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	209
1	405	201
2	6886	201

Stop Event

1×	node limit

Counts

7 → 262

Calls

Call 1

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

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

simplify170.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1140×	`fma-define`
1012×	`associate-r`
878×	`associate-l`
700×	`times-frac`
496×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	21383
1	2360	18973

Stop Event

1×	node limit

Counts

430 → 518

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

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

eval196.0ms (2.1%)

Compiler: Compiled 10225 to 6351 computations (37.9% saved)

prune113.0ms (1.2%)

Pruning

24 alts after pruning (12 fresh and 12 done)

	Pruned	Kept	Total
New	512	6	518
Fresh	1	6	7
Picked	0	5	5
Done	0	7	7
Total	513	24	537

Accuracy

99.9%

Counts

537 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.8%	(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) x)
	42.3%	(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
	42.3%	(/.f64 eps (+.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x)))
✓	79.2%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	41.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	62.0%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	5.6%	(-.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	7.6%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
	4.5%	(-.f64 x (.f64 eps (/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal 1/2 binary64))) (.f64 x eps))))
	7.6%	(-.f64 x (.f64 eps (/.f64 (+.f64 x (.f64 (/.f64 eps x) #s(literal -1/2 binary64))) (*.f64 (/.f64 eps x) x))))
	7.6%	(-.f64 x (.f64 eps (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))) eps)))
✓	5.6%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
	5.6%	(-.f64 x (*.f64 eps (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x eps))))
✓	7.6%	(-.f64 x (*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
✓	65.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.4%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	5.6%	(+.f64 (+.f64 x (/.f64 eps (/.f64 eps x))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
	39.2%	(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x))
✓	41.2%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	5.6%	(*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))
	28.7%	(.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))))
✓	41.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
	3.6%	x
✓	4.1%	#s(literal 0 binary64)

Compiler

Compiled 576 to 351 computations (39.1% saved)

regimes299.0ms (3.2%)

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.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 1/2 binary64) (/.f64 x eps))
(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
(*.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x eps)))
(*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(-.f64 x (*.f64 eps (+.f64 (/.f64 x eps) (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 x (*.f64 eps (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 x eps))))
(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x))
(+.f64 (+.f64 x (/.f64 eps (/.f64 eps x))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (.f64 eps (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 eps x))) eps)))
(-.f64 x (.f64 eps (/.f64 (-.f64 (.f64 (neg.f64 x) x) (.f64 eps #s(literal 1/2 binary64))) (.f64 x eps))))
(-.f64 x (.f64 eps (/.f64 (+.f64 x (.f64 (/.f64 eps x) #s(literal -1/2 binary64))) (*.f64 (/.f64 eps x) x))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
(/.f64 eps (+.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x)))
(/.f64 eps (fma.f64 x #s(literal 2 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 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 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
(/.f64 eps (+.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)
(.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))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))) 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:

211.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
54.0ms	x
33.0ms	eps

Results

Accuracy	Segments	Branch
89.9%	2	`x`
98.6%	2	`eps`
98.6%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes54.0ms (0.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
81.7%	2	`eps`
98.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes142.0ms (1.5%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes51.0ms (0.5%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

1 calls:

50.0ms

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

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes38.0ms (0.4%)

Counts

21 → 2

Calls

Call 1

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

Calls

1 calls:

36.0ms

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

Results

Accuracy	Segments	Branch
98.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes102.0ms (1.1%)

Counts

20 → 4

Calls

Call 1

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

Outputs
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x))
(-.f64 x (sqrt.f64 (neg.f64 eps)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Calls

1 calls:

100.0ms

Results

Accuracy	Segments	Branch
87.5%	4	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
41.3%	1	`eps`
41.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.7b remaining (-1.2%)

Threshold costs -0.7b (-1.2%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
x
(*.f64 x #s(literal 2 binary64))
(-.f64 x x)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
4.1%	1	`x`
4.1%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.3016808548310727e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.3016808548310727e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.3016808548310727e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.3016808548310727e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4.3016808548310727e-153	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch71.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	3.1358552269604246e-66	1.5646425465933076e-65
5.0ms	1.2883432744756431e-68	1.492713693948603e-68
47.0ms	7.878876911022173e-95	6.177562090296091e-94

Results

21.0ms	168×	256	valid
39.0ms	40×	512	valid
2.0ms	21×	256	invalid
3.0ms	15×	1024	valid
0.0ms	1×	256	valid

Compiler

Compiled 303 to 218 computations (28.1% saved)

Precisions

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

Operation ival-sub, time spent: 4.0ms, 40.0% of total-time

Operation ival-mult, time spent: 3.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 30.0% of total-time

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
16×	`sub-neg`
16×	`*-commutative`
8×	`neg-sub0`
8×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	769
1	77	769
2	89	769
3	96	769
4	99	769

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x)))
(if (<=.f64 x #s(literal 4039493242370993/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x #s(literal 1760543683579567/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x)) (if (<=.f64 x #s(literal 3130277023605911/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 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 -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/1886981212410770676120777290494134445458460610208220214188103150122812081196074426043063362588829383770734187515381922449885292314962396316280717125716348021824697663488 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x)))
(if (<=.f64 x #s(literal 4039493242370993/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (if (<=.f64 x #s(literal 1760543683579567/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (.f64 eps (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 eps #s(literal 1/8 binary64)) x) x)) x)) (if (<=.f64 x #s(literal 3130277023605911/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
#s(literal 0 binary64)

Compiler

Compiled 210 to 118 computations (43.8% saved)

soundness1.4s (15.3%)

Rules

1354×	`associate-r`
1324×	`fma-define`
1262×	`unpow-prod-down`
1210×	`fma-define`
1160×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	306
1	449	251
2	6883	251
0	976	19372
1	2402	18578
0	879	4294987429
1	2065	4294986230
2	6215	4294985392
0	12	74
1	150	74
2	2114	70
0	1096	24050
1	2959	22019

Stop Event

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

Compiler

Compiled 1132 to 601 computations (46.9% saved)

end0.0ms (0%)

preprocess151.0ms (1.6%)

Compiler: Compiled 436 to 192 computations (56% saved)

analyze25.0ms (0.3%)

sample2.1s (22.4%)

preprocess164.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (0.4%)

series20.0ms (0.2%)

rewrite278.0ms (2.9%)

simplify239.0ms (2.5%)

eval212.0ms (2.2%)

prune93.0ms (1%)

localize289.0ms (3.1%)

series55.0ms (0.6%)

rewrite217.0ms (2.3%)

simplify241.0ms (2.6%)

eval381.0ms (4%)

prune311.0ms (3.3%)

localize444.0ms (4.7%)

series53.0ms (0.6%)

rewrite218.0ms (2.3%)

simplify199.0ms (2.1%)

eval330.0ms (3.5%)

prune125.0ms (1.3%)

localize257.0ms (2.7%)

series56.0ms (0.6%)

rewrite184.0ms (2%)

simplify170.0ms (1.8%)

eval196.0ms (2.1%)

prune113.0ms (1.2%)

regimes299.0ms (3.2%)

regimes54.0ms (0.6%)

regimes142.0ms (1.5%)

regimes51.0ms (0.5%)

regimes38.0ms (0.4%)

regimes102.0ms (1.1%)

regimes22.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch71.0ms (0.7%)

simplify16.0ms (0.2%)

soundness1.4s (15.3%)

end0.0ms (0%)

preprocess151.0ms (1.6%)

Profiling