Metrics for ENA, Section 1.4, Exercise 4d

analyze16.0ms (0.2%)

Memory

-10.3MiB live, 26.9MiB allocated

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)

sample1.5s (21.2%)

Memory

70.1MiB live, 1 670.7MiB allocated

Samples

573.0ms	4 849×	0	valid
467.0ms	2 755×	1	valid
99.0ms	652×	2	valid
10.0ms	158×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 804.0ms

ival-sub: 335.0ms (41.6% of total)

ival-sqrt: 156.0ms (19.4% of total)

ival-mult: 132.0ms (16.4% of total)

ival-<=: 91.0ms (11.3% of total)

adjust: 55.0ms (6.8% of total)

ival-and: 20.0ms (2.5% of total)

...in/eval/compile.rkt:110:19: 13.0ms (1.6% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess69.0ms (1%)

Memory

-24.5MiB live, 90.7MiB allocated

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)))

explain100.0ms (1.4%)

Memory

10.7MiB live, 177.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
109	-	-	`(-.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	109	0

Confusion

	Predicted +	Predicted -
+	109	0
-	0	147

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	0
-	0	0	147

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	147
1	109

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

17.0ms	176×	1	valid
17.0ms	294×	0	valid
6.0ms	42×	2	valid

Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-sub: 7.0ms (32.9% of total)

ival-sqrt: 6.0ms (28.2% of total)

ival-mult: 5.0ms (23.5% of total)

adjust: 3.0ms (14.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify28.0ms (0.4%)

Memory

-20.9MiB live, 19.3MiB allocated

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

localize27.0ms (0.4%)

Memory

18.9MiB live, 57.9MiB allocated

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	60.3%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Samples

9.0ms	88×	1	valid
7.0ms	147×	0	valid
3.0ms	21×	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 (38.1% of total)

ival-mult: 3.0ms (28.6% of total)

ival-sqrt: 3.0ms (28.6% of total)

adjust: 1.0ms (9.5% of total)

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

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

series37.0ms (0.5%)

Memory

-14.9MiB live, 24.1MiB allocated

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
26.0ms	eps	@	inf	(sqrt (- (* x x) eps))
1.0ms	x	@	0	(sqrt (- (* x x) eps))
1.0ms	eps	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	x	@	inf	(- x (sqrt (- (* x x) eps)))
1.0ms	eps	@	-inf	(sqrt (- (* x x) eps))

rewrite299.0ms (4.2%)

Memory

14.0MiB live, 292.7MiB allocated

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))
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(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))

simplify249.0ms (3.5%)

Memory

17.8MiB live, 257.6MiB allocated

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))

eval72.0ms (1%)

Memory: -14.4MiB live, 133.6MiB allocated
Compiler: Compiled 10 872 to 1 876 computations (82.7% saved)

prune79.0ms (1.1%)

Memory

22.4MiB live, 177.3MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	530	8	538
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	530	9	539

Accuracy

100.0%

Counts

539 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	60.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
▶	56.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	4.3%	(-.f64 x x)
▶	3.6%	(*.f64 x #s(literal 2 binary64))
	45.4%	(*.f64 eps (/.f64 #s(literal 1/2 binary64) x))
	38.1%	(.f64 eps (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
▶	45.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 148 to 102 computations (31.1% saved)

simplify124.0ms (1.7%)

Memory

-11.9MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	64	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓	cost-diff	64	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	cost-diff	6336	(fma.f64 x x (neg.f64 eps))
✓	cost-diff	0	(neg.f64 eps)
✓	cost-diff	0	(sqrt.f64 (neg.f64 eps))
✓	cost-diff	0	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	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

427×	`fmm-def`
318×	`fma-define`
290×	`times-frac`
131×	`distribute-rgt-in`
114×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	317
1	42	312
2	58	312
3	86	312
4	115	312
5	182	312
6	302	312
7	468	312
8	717	312
9	1027	312
10	1688	312
11	2675	312
12	2777	312
13	2834	312
14	2898	312
15	2918	312
16	2926	312

Stop Event

1×

saturated

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

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

localize208.0ms (2.9%)

Memory

-64.1MiB live, 144.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x x (neg.f64 eps))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(sqrt.f64 (fma.f64 x x (neg.f64 eps)))
✓	accuracy	79.7%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	accuracy	100.0%	(sqrt.f64 (neg.f64 eps))
✓	accuracy	100.0%	(neg.f64 eps)
✓	accuracy	100.0%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	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%	(neg.f64 eps)
✓	accuracy	100.0%	(hypot.f64 x (sqrt.f64 (neg.f64 eps)))
✓	accuracy	100.0%	(+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))
✓	accuracy	99.6%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))

Samples

19.0ms	146×	0	valid
12.0ms	54×	0	invalid
12.0ms	45×	1	valid
3.0ms	11×	2	valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 8.0ms (25.5% of total)

ival-hypot: 5.0ms (15.9% of total)

ival-mult: 5.0ms (15.9% of total)

ival-div: 4.0ms (12.8% of total)

ival-sqrt: 4.0ms (12.8% of total)

ival-sub: 3.0ms (9.6% of total)

ival-neg: 2.0ms (6.4% of total)

adjust: 1.0ms (3.2% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series34.0ms (0.5%)

Memory

30.5MiB live, 69.6MiB allocated

Counts

12 → 204

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 (sqrt.f64 (neg.f64 eps)))>
#<alt (neg.f64 eps)>
#<alt (fma.f64 x x (neg.f64 eps))>
#<alt (-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))>
#<alt (sqrt.f64 (fma.f64 x x (neg.f64 eps)))>

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

Calls

63 calls:

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

rewrite191.0ms (2.7%)

Memory

-9.2MiB live, 146.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 011×	`log1p-expm1-u`
936×	`expm1-log1p-u`
139×	`add-cube-cbrt`
138×	`add-exp-log`
138×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	246
1	343	210
2	4681	210

Stop Event

1×	node limit

Counts

12 → 377

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

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

simplify275.0ms (3.8%)

Memory

12.6MiB live, 289.6MiB allocated

Algorithm

1×	egg-herbie

Rules

813×	`fma-define`
746×	`times-frac`
610×	`distribute-lft-in`
350×	`*-commutative`
180×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1210	23491
1	3171	22212

Stop Event

1×	node limit

Counts

581 → 686

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

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

eval189.0ms (2.6%)

Memory: -15.5MiB live, 171.7MiB allocated
Compiler: Compiled 14 310 to 2 779 computations (80.6% saved)

prune107.0ms (1.5%)

Memory

1.6MiB live, 280.9MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	795	3	798
Fresh	2	1	3
Picked	0	5	5
Done	0	1	1
Total	797	10	807

Accuracy

100.0%

Counts

807 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.1%	(/.f64 eps (+.f64 x (fma.f64 (/.f64 eps x) #s(literal -1/2 binary64) x)))
✓	78.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	45.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	60.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
▶	4.3%	(-.f64 x x)
▶	45.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
✓	3.6%	(*.f64 x #s(literal 2 binary64))
✓	45.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))

Compiler

Compiled 81 to 53 computations (34.6% saved)

simplify230.0ms (3.2%)

Memory

19.5MiB live, 56.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1 662×	`fmm-def`
638×	`div-sub`
616×	`fma-define`
352×	`associate-/r*`
351×	`distribute-lft-in`

Iterations

Useful iterations: 17 (0.0ms)

Iter	Nodes	Cost
0	19	205
1	29	205
2	42	199
3	55	199
4	62	199
5	69	199
6	73	199
7	98	199
8	166	199
9	222	199
10	471	199
11	1043	199
12	1604	199
13	2279	199
14	2588	199
15	2710	199
16	2964	199
17	3924	196
18	6015	196
19	6571	196
20	6677	196
21	6766	196
22	6802	196
23	7234	196
24	7814	196

Stop Event

1×	node limit

Calls

Call 1

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

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

localize57.0ms (0.8%)

Memory

2.7MiB live, 117.6MiB allocated

Localize:

Found 9 expressions of interest:

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

Samples

29.0ms

256×

valid

Compiler

Compiled 58 to 16 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 9.0ms (57.5% of total)

ival-mult: 3.0ms (19.2% of total)

ival-add: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-1.1MiB live, 37.3MiB allocated

Counts

8 → 132

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ 1/2 x)
2.0ms	eps	@	-inf	(/ eps (+ x (+ (* (/ eps x) -1/2) x)))
1.0ms	x	@	inf	(/ eps (+ x (+ (* (/ eps x) -1/2) x)))
1.0ms	x	@	-inf	(/ eps (+ x (+ (* (/ eps x) -1/2) x)))
1.0ms	eps	@	inf	(/ eps (+ x (+ (* (/ eps x) -1/2) x)))

rewrite153.0ms (2.1%)

Memory

8.9MiB live, 141.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
625×	`prod-diff`
280×	`fma-define`
141×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	161
1	274	151
2	3575	143

Stop Event

1×	node limit

Counts

8 → 243

Calls

Call 1

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

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

simplify131.0ms (1.8%)

Memory

1.9MiB live, 235.6MiB allocated

Algorithm

1×	egg-herbie

Rules

133×	`*-commutative`
69×	`associate-*r/`
38×	`+-commutative`
33×	`associate-*l/`
33×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	609	11375
1	1460	11375

Stop Event

1×

unsound

Counts

375 → 353

Calls

Call 1

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

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

eval49.0ms (0.7%)

Memory: -21.1MiB live, 134.5MiB allocated
Compiler: Compiled 5 603 to 1 251 computations (77.7% saved)

prune191.0ms (2.7%)

Memory

25.7MiB live, 147.0MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	394	6	400
Fresh	0	0	0
Picked	2	2	4
Done	0	6	6
Total	396	14	410

Accuracy

100.0%

Counts

410 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.0%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))
✓	78.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
▶	46.1%	(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)))
▶	5.2%	(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
	46.0%	(/.f64 eps (.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal -1/2 binary64) x))))
✓	45.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	60.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
✓	45.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
✓	3.6%	(*.f64 x #s(literal 2 binary64))
▶	5.2%	(*.f64 x #s(literal -2 binary64))
✓	45.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
▶	4.3%	#s(literal 0 binary64)

Compiler

Compiled 172 to 119 computations (30.8% saved)

simplify144.0ms (2%)

Memory

-22.2MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) eps)
	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))
	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(*.f64 (/.f64 eps x) #s(literal -1/2 binary64))
✓	cost-diff	256	(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	-6272	(+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))
✓	cost-diff	-6272	(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)))
	cost-diff	0	(/.f64 eps x)
✓	cost-diff	0	(*.f64 (/.f64 eps x) #s(literal -1/2 binary64))

Rules

1 094×	`fma-define`
1 052×	`*-commutative`
1 016×	`associate-/r/`
715×	`distribute-lft-out`
512×	`times-frac`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	22	262
1	42	256
2	65	250
3	97	250
4	201	250
5	578	250
6	2284	250
7	2862	250
8	3698	250
9	4422	250
10	4620	250
11	4955	247
12	6868	247
13	7339	247

Stop Event

1×	node limit

Calls

Call 1

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

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

localize163.0ms (2.3%)

Memory

15.7MiB live, 54.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) eps)
	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	99.1%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))
	accuracy	100.0%	(/.f64 eps x)
✓	accuracy	100.0%	(*.f64 (/.f64 eps x) #s(literal -1/2 binary64))
✓	accuracy	99.8%	(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 eps x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)
✓	accuracy	100.0%	(+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))
✓	accuracy	99.9%	(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)))

Samples

143.0ms

256×

valid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 10.0ms (62.8% of total)

ival-mult: 3.0ms (18.8% of total)

ival-add: 2.0ms (12.6% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

8 → 156

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite266.0ms (3.7%)

Memory

-39.4MiB live, 92.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 179×	`log1p-expm1-u`
735×	`expm1-log1p-u`
142×	`add-exp-log`
142×	`add-cube-cbrt`
141×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	191
1	315	185
2	4975	185

Stop Event

1×	node limit

Counts

8 → 267

Calls

Call 1

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

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

simplify268.0ms (3.7%)

Memory

23.2MiB live, 260.7MiB allocated

Algorithm

1×	egg-herbie

Rules

404×	`exp-prod`
396×	`cube-prod`
274×	`associate-r`
270×	`fabs-mul`
263×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	713	12258
1	1732	12042
2	5841	11938

Stop Event

1×	node limit

Counts

423 → 386

Calls

Call 1

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

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

eval123.0ms (1.7%)

Memory: 1.5MiB live, 115.7MiB allocated
Compiler: Compiled 7 897 to 1 615 computations (79.5% saved)

prune154.0ms (2.1%)

Memory

-27.1MiB live, 179.0MiB allocated

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	523	5	528
Fresh	0	1	1
Picked	0	5	5
Done	0	8	8
Total	523	19	542

Accuracy

100.0%

Counts

542 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.0%	(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))
	5.2%	(/.f64 eps (/.f64 #s(literal -1/2 binary64) (/.f64 x eps)))
✓	78.5%	(/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps)))))
✓	46.1%	(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)))
✓	5.2%	(/.f64 eps (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))
	5.2%	(/.f64 eps (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) eps) #s(literal -1/2 binary64)))
	46.0%	(/.f64 eps (.f64 eps (+.f64 (/.f64 (.f64 x #s(literal 2 binary64)) eps) (/.f64 #s(literal -1/2 binary64) x))))
✓	45.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 x eps))
✓	60.3%	(-.f64 x (sqrt.f64 (fma.f64 x x (neg.f64 eps))))
✓	60.2%	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))
✓	56.8%	(-.f64 x (sqrt.f64 (neg.f64 eps)))
	5.2%	(*.f64 (/.f64 (/.f64 x eps) #s(literal -1/2 binary64)) eps)
✓	45.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) x) eps)
	45.0%	(*.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
	5.2%	(*.f64 (neg.f64 eps) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x eps))))
✓	3.6%	(*.f64 x #s(literal 2 binary64))
✓	5.2%	(*.f64 x #s(literal -2 binary64))
✓	45.6%	(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
✓	4.3%	#s(literal 0 binary64)

Compiler

Compiled 337 to 187 computations (44.5% saved)

regimes25.0ms (0.3%)

Memory

12.7MiB live, 51.2MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
8.0ms	eps
7.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
90.4%	2	`x`
99.3%	2	`eps`
99.3%	2	`(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes16.0ms (0.2%)

Memory

-1.9MiB live, 36.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	eps
7.0ms	(-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) eps)))

Results

Accuracy	Segments	Branch
84.6%	4	`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%)

Memory

17.8MiB live, 17.7MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
87.4%	2	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory

-8.3MiB live, 30.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
6.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory

-12.3MiB live, 27.8MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	eps
5.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	eps

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	eps
1.0ms	x

Results

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4684297901691458e-150	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.4684297901691458e-150	0.0

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch10.0ms (0.1%)

Memory

-17.7MiB live, 20.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.684512737861346e-130	1.1787515972098554e-129

Samples

4.0ms	67×	0	valid
1.0ms	13×	1	valid
1.0ms	11×	0	invalid

Compiler

Compiled 123 to 86 computations (30.1% saved)

Precisions

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

ival-mult: 2.0ms (51.5% of total)

ival-sub: 1.0ms (25.8% of total)

ival-sqrt: 1.0ms (25.8% of total)

adjust: 0.0ms (0% of total)

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

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

simplify7.0ms (0.1%)

Memory

18.2MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	407
1	53	407
2	62	407
3	67	407
4	69	407

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))))
(if (<=.f64 x #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 x #s(literal -2 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 (.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (/.f64 eps (+.f64 x (hypot.f64 x (sqrt.f64 (neg.f64 eps))))) (/.f64 eps (+.f64 x (+.f64 x (.f64 (/.f64 eps x) #s(literal -1/2 binary64))))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))))
(if (<=.f64 (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) #s(literal -7371020360979573/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (-.f64 x (sqrt.f64 (-.f64 (.f64 x x) eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x))))
(if (<=.f64 x #s(literal 3621228318366551/3121748550315992231381597229793166305748598142664971150859156959625371738819765620120306103063491971159826931121406622895447975679288285306290176 binary64)) (-.f64 x (sqrt.f64 (neg.f64 eps))) (/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) #s(literal -1/2 binary64))))))
(/.f64 eps (+.f64 x (+.f64 (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)) x)))
(/.f64 eps (+.f64 x (+.f64 x (*.f64 (/.f64 eps x) #s(literal -1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 eps x))
(*.f64 (/.f64 eps x) #s(literal 1/2 binary64))
(*.f64 x #s(literal -2 binary64))
#s(literal 0 binary64)

soundness1.3s (17.6%)

Memory

-0.2MiB live, 1 035.9MiB allocated

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
813×	`fma-define`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	609	11375
1	1460	11375
0	19	161
1	274	151
2	3575	143
0	1210	23491
1	3171	22212
0	917	8589955054
1	2143	8589953875
2	6463	8589953037
0	12	84
1	150	84
2	2114	80

Stop Event

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

Compiler

Compiled 593 to 183 computations (69.1% saved)

preprocess229.0ms (3.2%)

Memory: -5.5MiB live, 197.2MiB allocated
Compiler: Compiled 250 to 86 computations (65.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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%)

sample1.5s (21.2%)

preprocess69.0ms (1%)

explain100.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.4%)

localize27.0ms (0.4%)

series37.0ms (0.5%)

rewrite299.0ms (4.2%)

simplify249.0ms (3.5%)

eval72.0ms (1%)

prune79.0ms (1.1%)

simplify124.0ms (1.7%)

localize208.0ms (2.9%)

series34.0ms (0.5%)

rewrite191.0ms (2.7%)

simplify275.0ms (3.8%)

eval189.0ms (2.6%)

prune107.0ms (1.5%)

simplify230.0ms (3.2%)

localize57.0ms (0.8%)

series16.0ms (0.2%)

rewrite153.0ms (2.1%)

simplify131.0ms (1.8%)

eval49.0ms (0.7%)

prune191.0ms (2.7%)

simplify144.0ms (2%)

localize163.0ms (2.3%)

series8.0ms (0.1%)

rewrite266.0ms (3.7%)

simplify268.0ms (3.7%)

eval123.0ms (1.7%)

prune154.0ms (2.1%)

regimes25.0ms (0.3%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes15.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.3s (17.6%)

preprocess229.0ms (3.2%)

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