Metrics for ENA, Section 1.4, Exercise 4d

analyze16.0ms (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 24 to 18 computations (25% saved)

sample1.9s (22.7%)

Results

622.0ms	2672×	1	valid
474.0ms	4878×	0	valid
250.0ms	706×	2	valid
98.0ms	171×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 948.0ms

ival-sub: 286.0ms (30.2% of total)

ival-mult: 274.0ms (28.9% of total)

ival-<=: 168.0ms (17.7% of total)

ival-sqrt: 116.0ms (12.2% of total)

adjust: 61.0ms (6.4% of total)

ival-and: 26.0ms (2.7% of total)

...in/eval/compile.rkt:70:19: 13.0ms (1.4% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

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)))

explain204.0ms (2.5%)

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`	cancellation	104	0

Confusion

	Predicted +	Predicted -
+	104	0
-	0	152

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	104	0	0
-	0	0	152

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	152
1	104

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

28.0ms	166×	1	valid
20.0ms	308×	0	valid
7.0ms	38×	2	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 11.0ms (38.2% of total)

ival-sqrt: 7.0ms (24.3% of total)

ival-sub: 7.0ms (24.3% of total)

adjust: 3.0ms (10.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% 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
▶	62.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify24.0ms (0.3%)

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×	`fmm-def`
24×	`distribute-rgt-in`
24×	`sub-neg`
20×	`cancel-sign-sub-inv`

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	373	104
9	449	104
10	505	104
11	509	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

localize76.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 (*.f64 x x) eps))
✓	accuracy	100.0%	(-.f64 (*.f64 x x) eps)
✓	accuracy	62.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

10.0ms	83×	1	valid
10.0ms	154×	0	valid
3.0ms	19×	2	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sub: 4.0ms (35.3% of total)

ival-sqrt: 3.0ms (26.5% of total)

ival-mult: 3.0ms (26.5% of total)

adjust: 2.0ms (17.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series14.0ms (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
1.0ms	eps	@	-inf	(- (* x x) eps)
1.0ms	x	@	0	(sqrt (- (* x x) eps))
1.0ms	eps	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	inf	(sqrt (- (* x x) eps))
1.0ms	x	@	inf	(- x (sqrt (- (* x x) eps)))

rewrite320.0ms (3.9%)

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))

simplify336.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

592×	`fmm-def`
389×	`associate-r`
354×	`associate-l`
326×	`*-commutative`
316×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	917	8589955054
1	2143	8589953875
2	6463	8589953037

Stop Event

1×	node limit

Counts

420 → 538

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

eval104.0ms (1.3%)

Compiler: Compiled 10872 to 1876 computations (82.7% saved)

prune186.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	529	9	538
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	529	10	539

Accuracy

100.0%

Counts

539 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	6.7%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	62.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.2%	(-.f64 x x)
▶	3.4%	(*.f64 x #s(literal 2 binary64))
	43.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	28.1%	(.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))))
▶	38.2%	(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	43.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 204 to 144 computations (29.4% saved)

simplify89.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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	-6272	(+.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	256	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 eps 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

548×	`div-sub`
530×	`fmm-def`
450×	`sub-neg`
430×	`associate--l-`
415×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	426
1	76	422
2	143	422
3	299	422
4	677	422
5	2043	422
6	5134	422
7	7278	422

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

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

localize227.0ms (2.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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	89.5%	(/.f64 eps (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	86.0%	(.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))))
✓	accuracy	100.0%	(/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)
✓	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	79.4%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	accuracy	100.0%	(/.f64 eps x)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (neg.f64 eps))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	accuracy	99.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Results

138.0ms	154×	0	valid
29.0ms	56×	1	valid
11.0ms	46×	0	invalid

Compiler

Compiled 130 to 29 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 54.0ms (61.3% of total)

ival-mult: 11.0ms (12.5% of total)

ival-hypot: 5.0ms (5.7% of total)

ival-add: 5.0ms (5.7% of total)

ival-pow: 4.0ms (4.5% of total)

adjust: 3.0ms (3.4% of total)

ival-sqrt: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

ival-sub: 1.0ms (1.1% of total)

...in/eval/compile.rkt:70:19: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series49.0ms (0.6%)

Counts

18 → 246

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

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

Calls

90 calls:

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

rewrite254.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

237×	`add-cube-cbrt`
236×	`log1p-expm1-u`
236×	`expm1-log1p-u`
233×	`add-exp-log`
233×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	391
1	522	355

Stop Event

1×	node limit

Counts

18 → 579

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 eps (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 #s(literal -1 binary64) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (.f64 (cbrt.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (/.f64 (cbrt.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(.f64 (sqrt.f64 eps) (.f64 (sqrt.f64 eps) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (sqrt.f64 eps) (/.f64 (sqrt.f64 eps) (neg.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 (sqrt.f64 eps) #s(literal 1 binary64)) (/.f64 (sqrt.f64 eps) (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 eps (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 eps (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) (/.f64 (cbrt.f64 eps) (sqrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(*.f64 (/.f64 (sqrt.f64 eps) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 eps) (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(.f64 (/.f64 eps (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (hypot.f64 x (sqrt.f64 eps)) #s(literal 3 binary64)))) (fma.f64 x x (.f64 (hypot.f64 x (sqrt.f64 eps)) (-.f64 (hypot.f64 x (sqrt.f64 eps)) x))))
(*.f64 (/.f64 eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x eps))) (-.f64 x (hypot.f64 x (sqrt.f64 eps))))
(pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) eps) #s(literal -1 binary64))
(neg.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(sqrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))))))
(cbrt.f64 (pow.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(log1p.f64 (expm1.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))) (/.f64 (fma.f64 x x eps) (-.f64 x (hypot.f64 x (sqrt.f64 eps)))))
(*.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 x (sqrt.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 x (sqrt.f64 eps)))) #s(literal 2 binary64)))
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(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 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) eps))
(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 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(fma.f64 (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) eps (*.f64 eps (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 (exp.f64 (log1p.f64 (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)) (+.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 x #s(literal -2 binary64)) #s(literal 1/4 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 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (+.f64 (.f64 (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 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(.f64 (-.f64 (.f64 (/.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) (+.f64 (.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 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 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))) (+.f64 (.f64 (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 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.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 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 eps (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/512 binary64)) (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 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 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 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 (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.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 eps #s(literal 1/8 binary64)))) (.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 (.f64 eps #s(literal 1/8 binary64)) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/.f64 (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 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (/.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 (+.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 (.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 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64))))))
(pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 eps (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (.f64 eps (.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal -3 binary64)))))
(fma.f64 #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 (/.f64 (cbrt.f64 (.f64 eps #s(literal 1/8 binary64))) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (.f64 eps #s(literal 1/8 binary64))) x) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (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 (/.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 (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)))))

simplify470.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

489×	`distribute-lft-in`
481×	`distribute-rgt-in`
396×	`*-commutative`
234×	`cancel-sign-sub-inv`
212×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1507	29729
1	3688	28218

Stop Event

1×	node limit

Counts

825 → 895

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

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

eval217.0ms (2.6%)

Compiler: Compiled 17092 to 3383 computations (80.2% saved)

prune264.0ms (3.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	893	2	895
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	895	10	905

Accuracy

100.0%

Counts

905 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	43.9%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
✓	81.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	43.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	6.7%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	62.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.2%	(-.f64 x x)
✓	3.4%	(*.f64 x #s(literal 2 binary64))
▶	43.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	43.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 122 to 83 computations (32% saved)

simplify277.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1249×	`fmm-def`
731×	`fma-define`
553×	`div-sub`
439×	`distribute-lft-in`
379×	`distribute-rgt-in`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	24	251
1	42	251
2	56	251
3	70	251
4	85	251
5	118	251
6	174	251
7	350	251
8	567	251
9	884	251
10	1332	251
11	1909	251
12	2186	251
13	2640	251
14	2874	251
15	3542	248
16	5266	248
17	5768	248
18	5862	248
19	5967	248
20	6003	248
21	6446	248
22	6993	248
23	7677	248
24	7873	248
25	7903	248
26	7903	248

Stop Event

1×	node limit

Calls

Call 1

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

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

localize74.0ms (0.9%)

Localize:

Found 12 expressions of interest:

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

Results

36.0ms	210×	0	valid
9.0ms	46×	0	invalid

Compiler

Compiled 75 to 20 computations (73.3% saved)

Precisions

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

ival-div: 9.0ms (37.3% of total)

ival-mult: 7.0ms (29% of total)

ival-sqrt: 3.0ms (12.4% of total)

ival-sub: 2.0ms (8.3% of total)

ival-add: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series38.0ms (0.5%)

Counts

10 → 156

Calls

Call 1

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

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

Calls

51 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(+ (* x 2) (* eps (/ -1/2 x)))
1.0ms	x	@	inf	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))
1.0ms	x	@	-inf	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))
1.0ms	eps	@	inf	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))
1.0ms	x	@	0	(/ eps (+ (* x 2) (* eps (/ -1/2 x))))

rewrite170.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

989×	`log1p-expm1-u`
659×	`expm1-log1p-u`
153×	`add-cube-cbrt`
152×	`add-exp-log`
152×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	181
1	373	162
2	5387	162

Stop Event

1×	node limit

Counts

10 → 331

Calls

Call 1

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

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

simplify127.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

142×	`*-commutative`
80×	`associate-*r/`
46×	`+-commutative`
41×	`sub-neg`
34×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	11304
1	1750	11304

Stop Event

1×

unsound

Counts

487 → 380

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

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

eval51.0ms (0.6%)

Compiler: Compiled 5598 to 1297 computations (76.8% saved)

prune68.0ms (0.8%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	459	5	464
Fresh	0	0	0
Picked	1	4	5
Done	1	4	5
Total	461	13	474

Accuracy

100.0%

Counts

474 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	43.9%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
▶	43.9%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
✓	81.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	43.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
▶	43.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x))
✓	6.7%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	62.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	5.4%	(*.f64 x #s(literal -2 binary64))
✓	43.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	43.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
▶	3.4%	x
▶	7.8%	eps

Compiler

Compiled 139 to 97 computations (30.2% saved)

simplify291.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

1145×	`cube-prod`
986×	`swap-sqr`
617×	`fma-define`
526×	`associate-/l/`
525×	`associate-/r/`

Iterations

Useful iterations: 17 (0.0ms)

Iter	Nodes	Cost
0	21	208
1	40	196
2	54	196
3	88	196
4	99	196
5	101	196
6	103	196
7	109	196
8	137	196
9	147	196
10	183	196
11	212	196
12	228	196
13	233	196
14	240	196
15	247	196
16	259	196
17	323	193
18	470	193
19	631	193
20	1418	193
21	1950	193
22	2386	193
23	2712	193
24	3104	193
25	3256	193
26	4024	193
27	4433	193
28	5008	193
29	5657	193
30	5951	193
31	6253	193
32	6381	193
33	6507	193
34	6641	193
35	7537	193

Stop Event

1×	node limit

Calls

Call 1

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

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

localize81.0ms (1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) eps)
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 1 binary64) eps) x)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))
	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) (/.f64 eps x))
✓	accuracy	99.8%	(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))

Results

62.0ms

256×

valid

Compiler

Compiled 63 to 18 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 8.0ms (46.2% of total)

ival-mult: 7.0ms (40.4% of total)

ival-add: 1.0ms (5.8% of total)

ival-true: 0.0ms (0% of total)

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

7 → 108

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite181.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log1p-expm1-u`
775×	`expm1-log1p-u`
665×	`log-prod`
344×	`fma-define`
200×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	140
1	274	140
2	3933	140

Stop Event

1×	node limit

Counts

7 → 379

Calls

Call 1

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

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

simplify314.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

738×	`fmm-def`
295×	`fma-define`
278×	`exp-prod`
218×	`cube-prod`
213×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	773	16628
1	1743	15384
2	5330	15094

Stop Event

1×	node limit

Counts

487 → 506

Calls

Call 1

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

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

eval380.0ms (4.6%)

Compiler: Compiled 10109 to 1793 computations (82.3% saved)

prune270.0ms (3.3%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	567	4	571
Fresh	0	0	0
Picked	1	4	5
Done	1	7	8
Total	569	15	584

Accuracy

100.0%

Counts

584 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.9%	(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
✓	81.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
	5.4%	(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
	5.4%	(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
✓	43.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	43.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x))
✓	6.7%	(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
✓	62.8%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	59.5%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	43.7%	(.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (*.f64 x #s(literal 2 binary64)))))
✓	5.4%	(*.f64 x #s(literal -2 binary64))
✓	43.1%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
✓	43.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
✓	3.4%	x
✓	7.8%	eps

Compiler

Compiled 294 to 158 computations (46.3% saved)

regimes40.0ms (0.5%)

Counts

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

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

Calls

3 calls:

25.0ms	x
6.0ms	eps
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
92.2%	2	`x`
99.5%	2	`eps`
99.5%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes13.0ms (0.2%)

Counts

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

Calls

2 calls:

6.0ms	eps
6.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
80.7%	2	`eps`
99.1%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (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 #s(literal 1/2 binary64) (/.f64 x eps))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (*.f64 x #s(literal 2 binary64)))))
(-.f64 x (sqrt.f64 (neg.f64 eps)))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
88.5%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (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 #s(literal 1/2 binary64) (/.f64 x eps))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) eps) x))
(/.f64 eps (*.f64 eps (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
(-.f64 x (+.f64 x (/.f64 (*.f64 eps #s(literal -1/2 binary64)) x)))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 eps (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 eps (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 x eps))))
(.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) eps) (*.f64 x #s(literal 2 binary64)))))

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

Calls

2 calls:

5.0ms	eps
5.0ms	x

Results

Accuracy	Segments	Branch
43.9%	1	`eps`
43.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

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

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

Calls

2 calls:

4.0ms	x
4.0ms	eps

Results

Accuracy	Segments	Branch
43.3%	1	`eps`
43.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total -3.3b remaining (-5.5%)

Threshold costs -3.3b (-5.5%)

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
7.8%	1	`x`
7.8%	1	`eps`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.049899666622403e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch2.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.049899666622403e-154	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.655537130363976e-112	2.3293370608459845e-111

Results

4.0ms	66×	0	valid
3.0ms	30×	1	valid
1.0ms	10×	0	invalid

Compiler

Compiled 145 to 107 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 1.0ms (26.8% of total)

ival-sub: 1.0ms (26.8% of total)

ival-sqrt: 1.0ms (26.8% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	388
1	51	388
2	60	388
3	65	388
4	67	388

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 x #s(literal 3113838035389587/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
eps

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7547924849643083/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(if (<=.f64 x #s(literal 3113838035389587/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x)))))
(/.f64 eps (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
eps

soundness915.0ms (11.1%)

Rules

989×	`log1p-expm1-u`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
659×	`expm1-log1p-u`
628×	`unpow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	917	8589955054
1	2143	8589953875
2	6463	8589953037
0	12	84
1	150	84
2	2114	80
0	1507	29729
1	3688	28218
0	666	11304
1	1750	11304
0	24	181
1	373	162
2	5387	162

Stop Event

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

Compiler

Compiled 662 to 198 computations (70.1% saved)

preprocess57.0ms (0.7%)

Compiler: Compiled 244 to 82 computations (66.4% 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	373	104
9	449	104
10	505	104
11	509	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	373	104
9	449	104
10	505	104
11	509	104

analyze16.0ms (0.2%)

sample1.9s (22.7%)

preprocess68.0ms (0.8%)

explain204.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize76.0ms (0.9%)

series14.0ms (0.2%)

rewrite320.0ms (3.9%)

simplify336.0ms (4.1%)

eval104.0ms (1.3%)

prune186.0ms (2.3%)

simplify89.0ms (1.1%)

localize227.0ms (2.8%)

series49.0ms (0.6%)

rewrite254.0ms (3.1%)

simplify470.0ms (5.7%)

eval217.0ms (2.6%)

prune264.0ms (3.2%)

simplify277.0ms (3.4%)

localize74.0ms (0.9%)

series38.0ms (0.5%)

rewrite170.0ms (2.1%)

simplify127.0ms (1.5%)

eval51.0ms (0.6%)

prune68.0ms (0.8%)

simplify291.0ms (3.5%)

localize81.0ms (1%)

series6.0ms (0.1%)

rewrite181.0ms (2.2%)

simplify314.0ms (3.8%)

eval380.0ms (4.6%)

prune270.0ms (3.3%)

regimes40.0ms (0.5%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes13.0ms (0.2%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch2.0ms (0%)

bsearch12.0ms (0.1%)

simplify50.0ms (0.6%)

soundness915.0ms (11.1%)

preprocess57.0ms (0.7%)

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	373	104
9	449	104
10	505	104
11	509	104