Metrics for ENA, Section 1.4, Exercise 4d

analyze27.0ms (0.4%)

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: 11.0ms

Operation ival-mult, time spent: 3.0ms, 26.0% of total-time

Operation ival-<=, time spent: 3.0ms, 26.0% of total-time

Operation ival-sub, time spent: 2.0ms, 18.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 18.0% 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 (28%)

Results

958.0ms	6006×	256	valid
337.0ms	1122×	1024	valid
260.0ms	1102×	512	valid
16.0ms	159×	256	invalid
10.0ms	25×	2048	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 664.0ms

Operation ival-<=, time spent: 208.0ms, 31.0% of total-time

Operation ival-sub, time spent: 149.0ms, 22.0% of total-time

Operation ival-mult, time spent: 127.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 106.0ms, 16.0% of total-time

Operation ival-and, time spent: 43.0ms, 6.0% of total-time

Operation const, time spent: 31.0ms, 5.0% of total-time

Bogosity

preprocess179.0ms (2.4%)

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
103	-	-	`(-.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: 22.0ms

Operation ival-sub, time spent: 9.0ms, 42.0% of total-time

Operation ival-mult, time spent: 6.0ms, 28.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 28.0% of total-time

Operation const, time spent: 1.0ms, 5.0% 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
▶	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize42.0ms (0.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	63.4%	(-.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: 12.0ms

Operation ival-mult, time spent: 4.0ms, 34.0% of total-time

Operation ival-sub, time spent: 4.0ms, 34.0% of total-time

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

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

series12.0ms (0.2%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (-.f64 x (sqrt.f64 (-.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 (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

12 calls:

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

rewrite218.0ms (3%)

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	55
1	150	55
2	2114	51

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

Inputs
(-.f64 x (sqrt.f64 (-.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)))
(fma.f64 #s(literal 1 binary64) (-.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)))))
(fma.f64 #s(literal 1 binary64) (-.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)))))
(fma.f64 #s(literal 1 binary64) (-.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)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (sqrt.f64 (neg.f64 eps)))) x)
(fma.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (neg.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/6 binary64))) x)
(fma.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)) (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 (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)) (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)))))
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(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
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simplify170.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1448×	`times-frac`
766×	`fma-neg`
624×	`cancel-sign-sub-inv`
570×	`associate-r`
534×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	631	11988
1	1549	11660
2	4708	11137

Stop Event

1×	node limit

Counts

218 → 335

Calls

Call 1

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

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

eval143.0ms (2%)

Compiler: Compiled 7603 to 4529 computations (40.4% saved)

prune59.0ms (0.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	327	8	335
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	327	9	336

Accuracy

99.8%

Counts

336 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.8%	(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)
▶	79.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	6.5%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	4.3%	(-.f64 x x)
▶	3.4%	(*.f64 x #s(literal 2 binary64))
	42.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	38.7%	(.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))))
▶	42.7%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 174 to 122 computations (29.9% saved)

localize269.0ms (3.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))
✓	80.7%	(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)
✓	100.0%	(+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
✓	81.4%	(-.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))))
✓	99.4%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Compiler

Compiled 118 to 55 computations (53.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

Operation ival-pow, time spent: 57.0ms, 40.0% of total-time

Operation ival-mult, time spent: 20.0ms, 14.0% of total-time

Operation composed, time spent: 19.0ms, 13.0% of total-time

Operation ival-sub, time spent: 14.0ms, 10.0% of total-time

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

Operation ival-neg, time spent: 8.0ms, 6.0% of total-time

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

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

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

series48.0ms (0.6%)

Counts

7 → 165

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 (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 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 eps (+.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (pow.f64 eps #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (/.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 x (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 eps) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 eps x)) eps)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (.f64 x (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (pow.f64 eps #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) eps)) (*.f64 eps x)) eps)))>
#<alt (*.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal -1 binary64))))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) eps)) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (+.f64 x (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
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#<alt (*.f64 #s(literal 2 binary64) x)>
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#<alt (*.f64 #s(literal 2 binary64) x)>
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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 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) x)>
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#<alt x>
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#<alt (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 4 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))) eps)) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 6 binary64))))))) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 4 binary64)))))) eps)) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))) eps)) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>

Calls

42 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	0	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
3.0ms	x	@	0	(pow (- (pow x 2) eps) 1/4)
2.0ms	eps	@	-inf	(+ (* (pow (- (pow x 2) eps) 1/4) (neg (pow (- (pow x 2) eps) 1/4))) x)
2.0ms	x	@	inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))
2.0ms	eps	@	inf	(/ eps (+ x (sqrt (+ (* x x) (* (sqrt (neg eps)) (sqrt (neg eps)))))))

rewrite175.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1081×	`log1p-expm1-u`
270×	`associate-r`
182×	`expm1-log1p-u`
174×	`add-exp-log`
174×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	210
1	399	174
2	6235	174

Stop Event

1×	node limit

Counts

7 → 270

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)))
(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)
(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))

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

simplify316.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1440×	`associate-r`
866×	`distribute-rgt-in`
864×	`distribute-lft-in`
752×	`*-commutative`
480×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1125	24093
1	3210	22080

Stop Event

1×	node limit

Counts

435 → 604

Calls

Call 1

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

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

eval667.0ms (9.1%)

Compiler: Compiled 18067 to 11978 computations (33.7% saved)

prune226.0ms (3.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	691	6	697
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	695	11	706

Accuracy

99.9%

Counts

706 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	42.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
	43.2%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
▶	43.2%	(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	79.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	5.1%	(-.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
▶	5.1%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	3.4%	(*.f64 x #s(literal 2 binary64))
▶	42.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
▶	4.3%	#s(literal 0 binary64)

Compiler

Compiled 157 to 106 computations (32.5% saved)

localize179.0ms (2.4%)

Localize:

Found 7 expressions with local error:

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

Compiler

Compiled 74 to 37 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

Operation ival-div, time spent: 40.0ms, 51.0% of total-time

Operation ival-mult, time spent: 17.0ms, 22.0% of total-time

Operation composed, time spent: 12.0ms, 15.0% of total-time

Operation ival-add, time spent: 7.0ms, 9.0% of total-time

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

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

series17.0ms (0.2%)

Counts

7 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite163.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

899×	`log1p-expm1-u`
899×	`expm1-log1p-u`
518×	`fma-neg`
250×	`associate-r`
168×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	180
1	321	180
2	4811	180

Stop Event

1×	node limit

Counts

7 → 313

Calls

Call 1

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

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

simplify250.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1852×	`fma-neg`
622×	`div-sub`
598×	`fma-define`
492×	`associate-r`
478×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	624	16288
1	1524	15827
2	5291	15819

Stop Event

1×	node limit

Counts

481 → 380

Calls

Call 1

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

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

eval131.0ms (1.8%)

Compiler: Compiled 6145 to 3751 computations (39% saved)

prune67.0ms (0.9%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	373	7	380
Fresh	2	0	2
Picked	1	4	5
Done	0	4	4
Total	376	15	391

Accuracy

99.9%

Counts

391 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	42.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
	5.2%	(/.f64 eps (/.f64 eps (*.f64 x #s(literal -2 binary64))))
▶	5.2%	(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
✓	79.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	43.2%	(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x)))
	43.2%	(/.f64 eps (+.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))))
▶	5.2%	(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
▶	42.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	5.1%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	3.4%	(*.f64 x #s(literal 2 binary64))
▶	5.2%	(*.f64 x #s(literal -2 binary64))
✓	42.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	4.3%	#s(literal 0 binary64)

Compiler

Compiled 197 to 131 computations (33.5% saved)

localize137.0ms (1.9%)

Localize:

Found 9 expressions with local error:

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

Compiler

Compiled 93 to 47 computations (49.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

Operation ival-div, time spent: 30.0ms, 57.0% of total-time

Operation ival-mult, time spent: 13.0ms, 25.0% of total-time

Operation ival-add, time spent: 6.0ms, 11.0% of total-time

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

series19.0ms (0.3%)

Counts

9 → 216

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
6.0ms	eps	@	0	(+ (* eps (/ -1/2 x)) x)
0.0ms	x	@	inf	(/ eps (* eps (/ -1/2 x)))
0.0ms	x	@	-inf	(/ eps (* eps (/ -1/2 x)))
0.0ms	eps	@	0	(/ eps (* eps (/ -1/2 x)))
0.0ms	x	@	-inf	(/ eps (+ x (+ (* eps (/ -1/2 x)) x)))

rewrite181.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`log1p-expm1-u`
964×	`expm1-log1p-u`
560×	`fma-neg`
198×	`associate-r`
154×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	231
1	317	195
2	4624	195

Stop Event

1×	node limit

Counts

9 → 430

Calls

Call 1

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

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

simplify226.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

992×	`distribute-lft-neg-in`
906×	`distribute-rgt-neg-in`
548×	`exp-prod`
540×	`*-commutative`
514×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	658	15943
1	1617	15765
2	4967	15560

Stop Event

1×	node limit

Counts

646 → 358

Calls

Call 1

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

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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) 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 eps x))
(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/32 binary64) (/.f64 eps (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/128 binary64) (/.f64 eps (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(-.f64 (+.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)))
(+.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 x #s(literal -2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) eps))
(fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps))))
(-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(-.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal -2 binary64) x)) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.f64 x #s(literal -2 binary64))) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) #s(literal 32 binary64))))
(-.f64 (fma.f64 x #s(literal -2 binary64) (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 eps #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(-.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -128 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(+.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps)) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) eps) (*.f64 x #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(+.f64 (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (.f64 x #s(literal -2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64)) eps))
(fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 eps #s(literal 2 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) eps))))
(-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal 32 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal 32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps)) (.f64 #s(literal -32 binary64) (pow.f64 x #s(literal 5 binary64)))) eps)) (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) eps)))
(-.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -32 binary64))) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) eps))
(fma.f64 x #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 7 binary64)) eps) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -32 binary64))) eps) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))) eps))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) #s(literal 2 binary64)))
(*.f64 x (fma.f64 #s(literal -8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal -2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 8 binary64) eps))) #s(literal -2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -32 binary64) (pow.f64 (/.f64 x eps) #s(literal 2 binary64)) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 #s(literal 32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 32 binary64) (pow.f64 eps #s(literal 2 binary64))))) (neg.f64 (/.f64 #s(literal 8 binary64) eps))) #s(literal -2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal -32 binary64) (pow.f64 eps #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) eps)) #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(/.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 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 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)
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eval157.0ms (2.1%)

Compiler: Compiled 6138 to 3795 computations (38.2% saved)

prune78.0ms (1.1%)

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	399	5	404
Fresh	1	1	2
Picked	0	5	5
Done	0	8	8
Total	400	19	419

Accuracy

99.9%

Counts

419 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
✓	42.7%	(/.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
	5.2%	(/.f64 eps (/.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
	5.2%	(/.f64 eps (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	5.2%	(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
✓	79.9%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	43.2%	(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x)))
	43.2%	(/.f64 eps (+.f64 x (*.f64 eps (-.f64 (/.f64 x eps) (/.f64 #s(literal 1/2 binary64) x)))))
✓	5.2%	(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	42.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	6.5%	(-.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	5.1%	(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	63.4%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	5.2%	(.f64 (/.f64 x eps) (.f64 eps #s(literal -2 binary64)))
	4.9%	(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	3.4%	(*.f64 x #s(literal 2 binary64))
✓	5.2%	(*.f64 x #s(literal -2 binary64))
✓	42.5%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	4.3%	#s(literal 0 binary64)

Compiler

Compiled 375 to 236 computations (37.1% saved)

regimes133.0ms (1.8%)

Counts

27 → 2

Calls

Call 1

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

Calls

3 calls:

65.0ms	x
37.0ms	eps
28.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
92.1%	2	`x`
99.3%	2	`eps`
99.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes28.0ms (0.4%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	eps
12.0ms	x

Results

Accuracy	Segments	Branch
43.2%	1	`x`
43.2%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	eps
10.0ms	x

Results

Accuracy	Segments	Branch
42.7%	1	`eps`
42.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	eps

Results

Accuracy	Segments	Branch
5.2%	1	`eps`
5.2%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

2.0ms	eps
1.0ms	x

Results

Accuracy	Segments	Branch
4.3%	1	`eps`
4.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.2451567474585376e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
10×	`*-commutative`
8×	`sub-neg`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	200
1	39	200
2	46	200
3	50	200
4	52	200

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 x #s(literal -2 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 x #s(literal -2 binary64))
#s(literal 0 binary64)

Compiler

Compiled 60 to 35 computations (41.7% saved)

soundness853.0ms (11.6%)

Rules

1852×	`fma-neg`
1448×	`times-frac`
1440×	`associate-r`
1262×	`unpow-prod-down`
922×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1125	24093
1	3210	22080
0	631	11988
1	1549	11660
2	4708	11137
0	624	16288
1	1524	15827
2	5291	15819
0	21	180
1	321	180
2	4811	180
0	12	55
1	150	55
2	2114	51

Stop Event

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

Compiler

Compiled 731 to 333 computations (54.4% saved)

end0.0ms (0%)

preprocess78.0ms (1.1%)

Compiler: Compiled 148 to 80 computations (45.9% saved)

analyze27.0ms (0.4%)

sample2.1s (28%)

preprocess179.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize42.0ms (0.6%)

series12.0ms (0.2%)

rewrite218.0ms (3%)

simplify170.0ms (2.3%)

eval143.0ms (2%)

prune59.0ms (0.8%)

localize269.0ms (3.7%)

series48.0ms (0.6%)

rewrite175.0ms (2.4%)

simplify316.0ms (4.3%)

eval667.0ms (9.1%)

prune226.0ms (3.1%)

localize179.0ms (2.4%)

series17.0ms (0.2%)

rewrite163.0ms (2.2%)

simplify250.0ms (3.4%)

eval131.0ms (1.8%)

prune67.0ms (0.9%)

localize137.0ms (1.9%)

series19.0ms (0.3%)

rewrite181.0ms (2.5%)

simplify226.0ms (3.1%)

eval157.0ms (2.1%)

prune78.0ms (1.1%)

regimes133.0ms (1.8%)

regimes28.0ms (0.4%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness853.0ms (11.6%)

end0.0ms (0%)

preprocess78.0ms (1.1%)

Profiling