Metrics for ENA, Section 1.4, Exercise 4d

analyze24.0ms (0.2%)

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: 10.0ms

ival-<=: 3.0ms (31.1% of total)

ival-sub: 2.0ms (20.7% of total)

ival-mult: 2.0ms (20.7% of total)

ival-sqrt: 2.0ms (20.7% of total)

ival-and: 1.0ms (10.4% of total)

const: 0.0ms (0% of total)

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

sample1.9s (19.5%)

Results

653.0ms	2747×	1	valid
598.0ms	4874×	0	valid
204.0ms	635×	2	valid
13.0ms	174×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 990.0ms

ival-mult: 387.0ms (39.1% of total)

ival-sub: 221.0ms (22.3% of total)

ival-<=: 171.0ms (17.3% of total)

ival-sqrt: 105.0ms (10.6% of total)

backward-pass: 62.0ms (6.3% of total)

ival-and: 26.0ms (2.6% of total)

const: 19.0ms (1.9% of total)

Bogosity

preprocess69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

explain93.0ms (1%)

FPErrors

Click to see full error table

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

Results

32.0ms	166×	1	valid
20.0ms	300×	0	valid
11.0ms	46×	2	valid

Compiler

Compiled 64 to 20 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-sub: 10.0ms (29.1% of total)

backward-pass: 9.0ms (26.2% of total)

ival-sqrt: 8.0ms (23.3% of total)

ival-mult: 7.0ms (20.3% of total)

const: 1.0ms (2.9% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(-.f64 (*.f64 x x) eps)
✓	cost-diff	-6336	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	cost-diff	-6336	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	cost-diff	0	(*.f64 x x)

Rules

107×	`fma-define`
72×	`fma-neg`
24×	`distribute-rgt-in`
24×	`sub-neg`
22×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	104
1	18	104
2	26	104
3	40	104
4	61	104
5	107	104
6	200	104
7	274	104
8	374	104
9	450	104
10	506	104
11	510	104

Stop Event

1×

saturated

Calls

Call 1

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

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

localize36.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

12.0ms	83×	1	valid
10.0ms	150×	0	valid
5.0ms	23×	2	valid

Compiler

Compiled 27 to 7 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 4.0ms (30.9% of total)

ival-sub: 4.0ms (30.9% of total)

ival-sqrt: 3.0ms (23.2% of total)

backward-pass: 2.0ms (15.4% of total)

const: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts

4 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	0	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	x	@	0	(sqrt (- (* x x) eps))
1.0ms	x	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	inf	(sqrt (- (* x x) eps))

rewrite554.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	150	84
2	2114	80

Stop Event

1×	node limit

Counts

4 → 336

Calls

Call 1

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

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

simplify433.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

585×	`fma-neg`
391×	`associate-r`
355×	`associate-l`
326×	`*-commutative`
316×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	917	8589955054
1	2128	8589953875
2	6462	8589953037

Stop Event

1×	node limit

Counts

420 → 537

Calls

Call 1

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

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

eval70.0ms (0.7%)

Compiler: Compiled 10855 to 1873 computations (82.7% saved)

prune80.0ms (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	523	14	537
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	523	15	538

Accuracy

99.7%

Counts

538 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(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)
▶	43.3%	(/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/2 binary64) eps)) x)
▶	76.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	58.1%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
	7.0%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.2%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.3%	(-.f64 x x)
	60.3%	(*.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))))
▶	3.6%	(*.f64 x #s(literal 2 binary64))
▶	45.4%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	30.6%	(.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))))
▶	40.0%	(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
	45.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 360 to 232 computations (35.6% saved)

simplify442.0ms (4.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	192	(-.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))
✓	cost-diff	192	(/.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)
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (neg.f64 eps))
✓	cost-diff	0	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	cost-diff	0	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	cost-diff	0	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Rules

1279×	`fma-define`
1098×	`fma-neg`
474×	`distribute-lft-in`
423×	`distribute-lft-neg-in`
321×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	526
1	85	522
2	159	522
3	342	520
4	658	516
5	1341	516
6	2616	516
7	3950	516
8	5477	516
9	6061	516
10	6471	516
11	6539	516
12	7295	516
13	7437	516
14	7526	516
15	7708	516
16	7712	516
17	7712	516
18	7712	516
19	7712	516

Stop Event

1×	node limit

Calls

Call 1

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

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

localize252.0ms (2.6%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(-.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))
✓	accuracy	99.9%	(/.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)
✓	accuracy	64.2%	(/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	87.3%	(.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))))
✓	accuracy	87.0%	(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.7%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	accuracy	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	accuracy	99.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Results

144.0ms	197×	0	valid
21.0ms	59×	0	invalid

Compiler

Compiled 162 to 31 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 12.0ms (25.3% of total)

ival-div: 11.0ms (23.2% of total)

ival-pow: 10.0ms (21.1% of total)

ival-hypot: 4.0ms (8.4% of total)

ival-add: 2.0ms (4.2% of total)

ival-sub: 2.0ms (4.2% of total)

ival-sqrt: 2.0ms (4.2% of total)

ival-neg: 2.0ms (4.2% of total)

const: 1.0ms (2.1% of total)

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

series181.0ms (1.9%)

Counts

19 → 228

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

93 calls:

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

rewrite347.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

254×	`log1p-expm1-u`
254×	`expm1-log1p-u`
246×	`add-cube-cbrt`
245×	`add-exp-log`
245×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	461
1	597	409

Stop Event

1×	node limit

Counts

19 → 529

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

simplify468.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

874×	`times-frac`
793×	`fma-define`
388×	`*-commutative`
209×	`distribute-rgt-neg-in`
184×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1464	31013
1	3647	28527

Stop Event

1×	node limit

Counts

757 → 888

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

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

eval123.0ms (1.3%)

Compiler: Compiled 18386 to 3464 computations (81.2% saved)

prune136.0ms (1.4%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	884	4	888
Fresh	1	8	9
Picked	2	3	5
Done	0	1	1
Total	887	16	903

Accuracy

99.8%

Counts

903 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(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)
	45.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
✓	76.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	46.3%	(/.f64 eps (+.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
▶	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
	58.1%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
	7.0%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
▶	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.2%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.3%	(-.f64 x x)
	60.3%	(*.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))))
✓	3.6%	(*.f64 x #s(literal 2 binary64))
✓	45.4%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
▶	40.0%	(.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
	30.6%	(.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))))

Compiler

Compiled 343 to 218 computations (36.4% saved)

simplify280.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 x #s(literal -3 binary64))
✓	cost-diff	0	(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))
✓	cost-diff	0	(.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))
	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	-6272	(+.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	cost-diff	-6272	(/.f64 eps (+.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
✓	cost-diff	0	(*.f64 eps #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(*.f64 eps #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 x (*.f64 eps #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	cost-diff	128	(-.f64 x x)
	cost-diff	0	(neg.f64 eps)
✓	cost-diff	6336	(fma.f64 x x (neg.f64 eps))
✓	cost-diff	6336	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓	cost-diff	6336	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))

Rules

1303×	`fma-neg`
1182×	`fma-define`
392×	`associate-/l/`
367×	`associate-*r/`
324×	`div-sub`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	33	478
1	71	458
2	124	446
3	197	446
4	267	446
5	414	446
6	616	446
7	1172	446
8	2199	446
9	3751	446
10	4622	446
11	5072	446
12	5365	446
13	5747	446
14	6087	446
15	6167	446
16	6351	443
17	6929	443
18	7727	443

Stop Event

1×	node limit

Calls

Call 1

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

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

localize136.0ms (1.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
✓	accuracy	87.2%	(.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
✓	accuracy	84.5%	(.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))
✓	accuracy	100.0%	(*.f64 eps #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))
✓	accuracy	100.0%	(+.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	accuracy	99.9%	(/.f64 eps (+.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x))))
✓	accuracy	100.0%	(/.f64 x (*.f64 eps #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 eps #s(literal 1/2 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(-.f64 x x)
✓	accuracy	100.0%	(fma.f64 x x (neg.f64 eps))
	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓	accuracy	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))

Results

46.0ms	83×	1	valid
42.0ms	150×	0	valid
16.0ms	23×	2	valid

Compiler

Compiled 134 to 27 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-div: 12.0ms (20.6% of total)

ival-mult: 11.0ms (18.9% of total)

ival-pow: 8.0ms (13.8% of total)

backward-pass: 7.0ms (12% of total)

ival-fma: 6.0ms (10.3% of total)

ival-sub: 4.0ms (6.9% of total)

ival-add: 4.0ms (6.9% of total)

ival-sqrt: 3.0ms (5.2% of total)

ival-neg: 2.0ms (3.4% of total)

const: 1.0ms (1.7% of total)

series36.0ms (0.4%)

Counts

17 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite296.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

240×	`log1p-expm1-u`
240×	`expm1-log1p-u`
232×	`add-exp-log`
232×	`add-cube-cbrt`
231×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	424
1	532	351

Stop Event

1×	node limit

Counts

17 → 575

Calls

Call 1

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

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

simplify604.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

337×	`*-commutative`
141×	`associate-*r/`
118×	`+-commutative`
92×	`sub-neg`
67×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1348	30572
1	3502	30572

Stop Event

1×

unsound

Counts

923 → 767

Calls

Call 1

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

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

eval202.0ms (2.1%)

Compiler: Compiled 13922 to 2833 computations (79.7% saved)

prune208.0ms (2.1%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	837	7	844
Fresh	0	7	7
Picked	2	3	5
Done	0	4	4
Total	839	21	860

Accuracy

99.8%

Counts

860 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(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)
	45.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
	46.2%	(/.f64 eps (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) eps) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
✓	76.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	46.5%	(/.f64 eps (+.f64 x (-.f64 x eps)))
▶	46.3%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
	44.2%	(/.f64 eps (+.f64 x (exp.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))))
✓	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
▶	45.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))
▶	58.1%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
	7.0%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.2%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	60.3%	(*.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))))
✓	3.6%	(*.f64 x #s(literal 2 binary64))
	5.3%	(*.f64 x #s(literal -2 binary64))
✓	45.4%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	40.0%	(.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
	30.6%	(.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))))
▶	7.6%	eps

Compiler

Compiled 409 to 262 computations (35.9% saved)

simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(neg.f64 eps)
	cost-diff	0	(sqrt.f64 (neg.f64 eps))
✓	cost-diff	0	(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
✓	cost-diff	0	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	cost-diff	-6272	(+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	-6272	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) eps)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 2 binary64) eps) x)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))
✓	cost-diff	0	(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)))
✓	cost-diff	26240	(*.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))))

Rules

833×	`fma-neg`
758×	`fma-define`
453×	`sub-neg`
282×	`associate-/r*`
279×	`unsub-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	31	576
1	63	558
2	109	552
3	191	552
4	379	552
5	857	548
6	1789	450
7	3789	450
8	6551	450
9	7916	450

Stop Event

1×	node limit

Calls

Call 1

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

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

localize168.0ms (1.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sqrt.f64 (neg.f64 eps))
	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(hypot.f64 (sqrt.f64 (neg.f64 eps)) x)
✓	accuracy	81.2%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
✓	accuracy	100.0%	(+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	100.0%	(+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	99.9%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
✓	accuracy	99.7%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) eps)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 2 binary64) eps) x)
✓	accuracy	100.0%	(pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64))
✓	accuracy	99.9%	(+.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)))
✓	accuracy	99.5%	(*.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))))
✓	accuracy	81.1%	(-.f64 (sqrt.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) eps) #s(literal 1/4 binary64)))

Results

78.0ms	146×	0	valid
26.0ms	39×	1	valid
16.0ms	59×	0	invalid
11.0ms	12×	2	valid

Compiler

Compiled 142 to 26 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-hypot: 43.0ms (45.1% of total)

ival-pow: 15.0ms (15.7% of total)

ival-div: 11.0ms (11.5% of total)

ival-mult: 6.0ms (6.3% of total)

ival-sub: 5.0ms (5.2% of total)

ival-sqrt: 5.0ms (5.2% of total)

ival-add: 4.0ms (4.2% of total)

backward-pass: 3.0ms (3.1% of total)

ival-neg: 2.0ms (2.1% of total)

const: 1.0ms (1% of total)

series68.0ms (0.7%)

Counts

15 → 292

Calls

Call 1

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

Outputs
#<alt (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))>
#<alt (+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))>
#<alt (+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))))))>
#<alt (+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))))))))))>
#<alt x>
#<alt #s(literal 0 binary64)>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 eps (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (sqrt.f64 #s(literal -1 binary64))))) x)) (.f64 #s(literal -1 binary64) x)) x)))) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))>
#<alt (.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))>
#<alt (+.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))))) (.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))>
#<alt (+.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))>
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#<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))))>
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#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x))>
#<alt (.f64 eps (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))>
#<alt (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (+.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))))) x)) (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 eps (-.f64 (/.f64 x eps) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 x eps)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 x eps)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<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 x>
#<alt (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) x)))>
#<alt (+.f64 x (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)))))>
#<alt (+.f64 x (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 5 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64)))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 eps) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 eps (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 7 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) eps)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (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 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 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)))))))>
#<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 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.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 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 eps (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.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 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)))))) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal -3/32 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64))))) (.f64 #s(literal -1/4 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)))))) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>
#<alt (sqrt.f64 x)>
#<alt (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal 1/4 binary64) (.f64 eps (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (.f64 #s(literal -1/4 binary64) (*.f64 eps (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))) x)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 eps (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))))) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))>
#<alt (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 eps (-.f64 (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 eps (-.f64 (.f64 eps (-.f64 (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 eps (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64))))))) (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))))) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))>
#<alt (-.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))))) eps))) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))) (+.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))))) (pow.f64 eps #s(literal 2 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))) (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))))) eps))))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))) (+.f64 (.f64 #s(literal -1/12 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 1/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) (pow.f64 eps #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))))) eps)) (/.f64 (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))) (+.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))))) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))>
#<alt (-.f64 (+.f64 (sqrt.f64 x) (.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 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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 (sqrt.f64 x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 eps x))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64))) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 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)))))>

Calls

81 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(* (+ (sqrt x) (pow (- (pow x 2) eps) 1/4)) (- (sqrt x) (pow (- (pow x 2) eps) 1/4)))
7.0ms	eps	@	inf	(* (+ (sqrt x) (pow (- (pow x 2) eps) 1/4)) (- (sqrt x) (pow (- (pow x 2) eps) 1/4)))
3.0ms	eps	@	-inf	(* (+ (sqrt x) (pow (- (pow x 2) eps) 1/4)) (- (sqrt x) (pow (- (pow x 2) eps) 1/4)))
3.0ms	eps	@	0	(* (+ (sqrt x) (pow (- (pow x 2) eps) 1/4)) (- (sqrt x) (pow (- (pow x 2) eps) 1/4)))
2.0ms	x	@	-inf	(- (sqrt x) (pow (- (pow x 2) eps) 1/4))

rewrite181.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	492
1	528	342

Stop Event

1×	node limit

Counts

15 → 541

Calls

Call 1

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

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

simplify396.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

629×	`times-frac`
553×	`*-commutative`
316×	`cancel-sign-sub-inv`
302×	`fma-neg`
269×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1805	46314
1	5053	44068

Stop Event

1×	node limit

Counts

833 → 961

Calls

Call 1

Inputs
(.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))
(+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))))))))))
x
#s(literal 0 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 eps (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 eps (sqrt.f64 #s(literal -1 binary64))))) x)) (.f64 #s(literal -1 binary64) x)) x)))) x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))
(+.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))))) (.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))
(+.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))
(+.f64 (.f64 eps (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (+.f64 (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 eps (-.f64 (+.f64 (.f64 #s(literal -7/128 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))) (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 11 binary64)))) (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))))))) (.f64 #s(literal 3/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) (.f64 (+.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 x)))))
(.f64 (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps)))))) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) eps))))))))
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(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (hypot.f64 x (sqrt.f64 eps)))))
(-.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal -2 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (cbrt.f64 (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)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(*.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) 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 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) (-.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 (pow.f64 (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64))))
(/.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 (+.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 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) 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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) 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 x (/.f64 #s(literal 2 binary64) eps)) #s(literal -2 binary64)) (.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x))
(pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) (/.f64 #s(literal -1/2 binary64) x))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(exp.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 1 binary64)))
(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)
(fma.f64 #s(literal 1 binary64) x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x)
(fma.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))) 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 (.f64 eps (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x))) x)

Outputs
(.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))))
(+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64)))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/32 binary64) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3/32 binary64) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)))))))))))
(+.f64 (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.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)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 #s(literal 3/32 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (-.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))) (+.f64 (.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)) (+.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal -1 binary64) eps) #s(literal 1/4 binary64))))))))))))))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 3 binary64))) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -3/32 binary64) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal 3/32 binary64) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 7 binary64))) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -7/128 binary64) (.f64 (-.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64))) (fma.f64 #s(literal -3/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))))) (.f64 #s(literal 7/128 binary64) (.f64 (+.f64 (sqrt.f64 x) (pow.f64 (neg.f64 eps) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 11 binary64))) #s(literal 1/4 binary64)))))))))))))))
x
#s(literal 0 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64))) (.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 3/4 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 eps (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
x
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (neg.f64 (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) x) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
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(/.f64 (neg.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64))) (neg.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (/.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 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(neg.f64 (/.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)))) (-.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (.f64 (*.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)) (.f64 (.f64 eps (/.f64 #s(literal 1/2 binary64) 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 x (/.f64 #s(literal 2 binary64) eps)) #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 (.f64 x #s(literal 2 binary64)) eps) #s(literal -2 binary64)) (.f64 (.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 eps x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) #s(literal -2 binary64)) (.f64 (.f64 x eps) (/.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal -2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) 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)))
(pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 1 binary64))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(pow.f64 (cbrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(pow.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(pow.f64 (sqrt.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(sqrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))
(log.f64 (exp.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 eps (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 eps) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (/.f64 (exp.f64 x) (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 eps x))))
(cbrt.f64 (pow.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x) #s(literal 3 binary64)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(expm1.f64 (log1p.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(log1p.f64 (expm1.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(exp.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 1 binary64)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)) x)
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) eps x)
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(fma.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))) x)
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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)))
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)
(fma.f64 (sqrt.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (.f64 eps (/.f64 #s(literal -1/2 binary64) x))) x)
(+.f64 x (.f64 #s(literal 1/2 binary64) (.f64 eps (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x))))
(fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)

eval141.0ms (1.4%)

Compiler: Compiled 31892 to 4148 computations (87% saved)

prune168.0ms (1.7%)

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	1118	6	1124
Fresh	2	7	9
Picked	0	5	5
Done	1	6	7
Total	1121	24	1145

Accuracy

99.8%

Counts

1145 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.2%	(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)
	45.6%	(/.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
✓	76.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	46.5%	(/.f64 eps (+.f64 x (-.f64 x eps)))
	46.3%	(/.f64 eps (+.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) eps)))))
	46.3%	(/.f64 eps (+.f64 x (+.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) eps))))))
✓	46.3%	(/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))))
	43.8%	(/.f64 eps (exp.f64 (log.f64 (+.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)))))
	46.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x)) eps))
✓	45.4%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 eps #s(literal 1/2 binary64))))
✓	45.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) eps) x))
✓	58.1%	(-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x))
	7.0%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	60.8%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	56.2%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	46.1%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) x))) eps)
✓	60.3%	(*.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))))
	5.3%	(*.f64 x #s(literal -2 binary64))
✓	45.4%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	40.0%	(.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
	30.6%	(.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))))
	3.6%	x
✓	7.6%	eps

Compiler

Compiled 589 to 300 computations (49.1% saved)

regimes63.0ms (0.7%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

3 calls:

42.0ms	x
10.0ms	eps
9.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
90.0%	2	`x`
99.2%	2	`eps`
99.4%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

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

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes13.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
88.5%	2	`x`
79.3%	2	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

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

Outputs
(/.f64 eps (+.f64 x (-.f64 x eps)))

Calls

2 calls:

17.0ms	x
5.0ms	eps

Results

Accuracy	Segments	Branch
46.5%	1	`eps`
46.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	eps
4.0ms	x

Results

Accuracy	Segments	Branch
45.6%	1	`eps`
45.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -3.1b remaining (-5.2%)

Threshold costs -3.1b (-5.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
eps

Calls

2 calls:

2.0ms	eps
2.0ms	x

Results

Accuracy	Segments	Branch
7.6%	1	`x`
7.6%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5409768028887703e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.5409768028887703e-154	0.0

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.0566475213109775e-111	1.5420353168753938e-111

Results

3.0ms	46×	0	valid
2.0ms	18×	1	valid
1.0ms	12×	0	invalid

Compiler

Compiled 103 to 70 computations (32% saved)

Precisions

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

ival-mult: 1.0ms (34.8% of total)

ival-sub: 1.0ms (34.8% of total)

ival-sqrt: 1.0ms (34.8% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
9×	`sub-neg`
6×	`*-commutative`
4×	`neg-sub0`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	376
1	56	376
2	69	376
3	76	376
4	79	376

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 x (+.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 x #s(literal 8231363154421169/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 eps (+.f64 x (-.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
eps

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (hypot.f64 (sqrt.f64 (neg.f64 eps)) x)) (/.f64 eps (+.f64 x (+.f64 x (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -3019169939857233/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(if (<=.f64 x #s(literal 8231363154421169/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 eps (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 eps (+.f64 x (-.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
eps

soundness1.3s (12.9%)

Rules

874×	`times-frac`
793×	`fma-define`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
628×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	150	84
2	2114	80
0	33	424
1	532	351
0	917	8589955054
1	2128	8589953875
2	6462	8589953037
0	1348	30572
1	3502	30572
0	36	461
1	597	409
0	1464	31013
1	3647	28527

Stop Event

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

Compiler

Compiled 1119 to 405 computations (63.8% saved)

preprocess60.0ms (0.6%)

Compiler: Compiled 232 to 86 computations (62.9% saved)

Iter	Nodes	Cost
0	12	104
1	18	104
2	26	104
3	40	104
4	61	104
5	107	104
6	200	104
7	274	104
8	374	104
9	450	104
10	506	104
11	510	104

Iter	Nodes	Cost
0	12	104
1	18	104
2	26	104
3	40	104
4	61	104
5	107	104
6	200	104
7	274	104
8	374	104
9	450	104
10	506	104
11	510	104

analyze24.0ms (0.2%)

sample1.9s (19.5%)

preprocess69.0ms (0.7%)

explain93.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify42.0ms (0.4%)

localize36.0ms (0.4%)

series19.0ms (0.2%)

rewrite554.0ms (5.7%)

simplify433.0ms (4.5%)

eval70.0ms (0.7%)

prune80.0ms (0.8%)

simplify442.0ms (4.6%)

localize252.0ms (2.6%)

series181.0ms (1.9%)

rewrite347.0ms (3.6%)

simplify468.0ms (4.8%)

eval123.0ms (1.3%)

prune136.0ms (1.4%)

simplify280.0ms (2.9%)

localize136.0ms (1.4%)

series36.0ms (0.4%)

rewrite296.0ms (3%)

simplify604.0ms (6.2%)

eval202.0ms (2.1%)

prune208.0ms (2.1%)

simplify116.0ms (1.2%)

localize168.0ms (1.7%)

series68.0ms (0.7%)

rewrite181.0ms (1.9%)

simplify396.0ms (4.1%)

eval141.0ms (1.4%)

prune168.0ms (1.7%)

regimes63.0ms (0.7%)

regimes8.0ms (0.1%)

regimes13.0ms (0.1%)

regimes23.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.3s (12.9%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	104
1	18	104
2	26	104
3	40	104
4	61	104
5	107	104
6	200	104
7	274	104
8	374	104
9	450	104
10	506	104
11	510	104