Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, A

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

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

sample853.0ms (23.5%)

Results

615.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-mult: 282.0ms (74.4% of total)

ival-add: 84.0ms (22.2% of total)

const: 11.0ms (2.9% of total)

backward-pass: 2.0ms (0.5% of total)

Bogosity

preprocess96.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg`
506×	`fma-define`
99×	`unsub-neg`
93×	`sub-neg`
78×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	283
1	79	247
2	257	239
3	805	239
4	1708	239
5	2376	239
6	2590	239
7	2607	239

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(neg.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y)))
(neg.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y))))
(+.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 y y)) (*.f64 x x))

Outputs
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y))
(+.f64 (.f64 y y) (.f64 (neg.f64 x) (+.f64 #s(literal 2 binary64) (neg.f64 x))))
(fma.f64 y y (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal -2 binary64))))
(fma.f64 x (+.f64 x #s(literal -2 binary64)) (*.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y)))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(neg.f64 (+.f64 (+.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 y y)))
(neg.f64 (+.f64 (.f64 y y) (.f64 (neg.f64 x) (+.f64 #s(literal 2 binary64) (neg.f64 x)))))
(neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) x))))
(-.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y y))
(neg.f64 (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y)))
(neg.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)))
(+.f64 (+.f64 (.f64 y #s(literal 2 binary64)) (.f64 y y)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 y (+.f64 #s(literal 2 binary64) y)))
(fma.f64 x x (*.f64 y (+.f64 #s(literal 2 binary64) y)))

Symmetry

(abs y)

explain136.0ms (3.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
0	-	-	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
0	-	-	`(*.f64 x #s(literal 2 binary64))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`y`
0	-	-	`(*.f64 y y)`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`	nan-rescue	1	0
↳	`(*.f64 x #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 x x)`	overflow	64

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

71.0ms

512×

valid

Compiler

Compiled 92 to 34 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 12.0ms (67.4% of total)

ival-add: 5.0ms (28.1% of total)

const: 1.0ms (5.6% of total)

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

eval0.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
▶	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

14×	`fma-define`
6×	`+-commutative`
3×	`associate-+r+`
3×	`associate-+l+`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	181
1	27	181
2	41	181
3	48	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
x
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(*.f64 y y)
y
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

Outputs
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+.f64 #s(literal 2 binary64) x)
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)
y
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 y y)
y

localize44.0ms (1.2%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	accuracy	99.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))

Results

30.0ms

256×

valid

Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions

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

ival-mult: 7.0ms (52.9% of total)

ival-add: 5.0ms (37.8% of total)

const: 0.0ms (0% of total)

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

series14.0ms (0.4%)

Counts

8 → 114

Calls

Call 1

Inputs
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 y y)>
#<alt (+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))>
#<alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))>

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

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x (+ 2 x))
1.0ms	y	@	0	(+ (+ (* x 2) (* x x)) (* y y))
1.0ms	x	@	-inf	(* x (+ 2 x))
0.0ms	y	@	inf	(* y y)
0.0ms	x	@	0	(* x (+ 2 x))

rewrite287.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1083×	`log1p-expm1-u`
1083×	`expm1-log1p-u`
783×	`fma-define`
330×	`fma-neg`
93×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	259	138
2	3073	138

Stop Event

1×	node limit

Counts

8 → 369

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 2 binary64) x)
(*.f64 y y)
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

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

simplify246.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

639×	`distribute-lft-in`
629×	`distribute-rgt-in`
538×	`cancel-sign-sub-inv`
443×	`fma-neg`
301×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	464	16629
1	1002	16417
2	2979	14768

Stop Event

1×	node limit

Counts

483 → 300

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(pow.f64 x #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal 2 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
x
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
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(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (+.f64 x #s(literal 2 binary64))) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (.f64 x (+.f64 x #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (fma.f64 x x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 (.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (fma.f64 x #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (-.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 2 binary64) x))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 y (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 (+.f64 x #s(literal 2 binary64)))) (sqrt.f64 (+.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 x x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 x x (pow.f64 y #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (fma.f64 x x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64)))

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

eval36.0ms (1%)

Compiler: Compiled 4880 to 843 computations (82.7% saved)

prune40.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	311	5	316

Accuracy

100.0%

Counts

316 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	99.6%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
▶	79.9%	(+.f64 (.f64 x x) (.f64 y y))
▶	64.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))

Compiler

Compiled 52 to 32 computations (38.5% saved)

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6272	(+.f64 (.f64 x x) (.f64 y y))
	cost-diff	0	(*.f64 y y)
	cost-diff	0	(*.f64 x x)
✓	cost-diff	-6272	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
	cost-diff	0	(*.f64 y y)
	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

13×	`fma-define`
4×	`+-commutative`
2×	`associate-+r+`
2×	`*-commutative`
2×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	188
1	27	188
2	34	188
3	41	188
4	44	188

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y y)
y
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
y
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 y y)
y
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
y
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize122.0ms (3.4%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 y y)
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
	accuracy	100.0%	(*.f64 y y)
	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))

Results

108.0ms

256×

valid

Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 80.0ms (88% of total)

ival-mult: 8.0ms (8.8% of total)

ival-fma: 3.0ms (3.3% of total)

const: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))>
#<alt (+.f64 (.f64 x x) (.f64 y y))>
#<alt (fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 x #s(literal 2 binary64))>

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

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (+ x 2))
1.0ms	x	@	-inf	(+ x 2)
0.0ms	x	@	0	(+ (* x 2) (* y y))
0.0ms	x	@	inf	(+ (* y y) (* x (+ x 2)))
0.0ms	y	@	inf	(+ (* x x) (* y y))

rewrite139.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`log1p-expm1-u`
752×	`expm1-log1p-u`
636×	`fma-define`
557×	`log-prod`
333×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	107
1	241	102
2	3336	99

Stop Event

1×	node limit

Counts

5 → 233

Calls

Call 1

Inputs
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))

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

simplify267.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

422×	`associate-/l*`
385×	`cancel-sign-sub-inv`
325×	`fma-neg`
264×	`associate-/r*`
196×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	518	9557
1	1127	9104
2	3012	8956
3	7959	8956

Stop Event

1×	node limit

Counts

329 → 298

Calls

Call 1

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

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

eval49.0ms (1.4%)

Compiler: Compiled 4587 to 911 computations (80.1% saved)

prune54.0ms (1.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	350	3	353
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	351	7	358

Accuracy

100.0%

Counts

358 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.9%	(fma.f64 y y (*.f64 x x))
✓	99.6%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	79.9%	(+.f64 (.f64 x x) (.f64 y y))
✓	64.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
▶	61.9%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	22.7%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 62 to 39 computations (37.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 y y (*.f64 x x))
	cost-diff	(+.f64 #s(literal 2 binary64) x)
	cost-diff	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	cost-diff	(*.f64 #s(literal 2 binary64) x)

Rules

4×	`fma-define`
2×	`*-commutative`
2×	`distribute-lft-in`
2×	`+-commutative`
1×	`fma-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	97
1	21	97
2	25	97
3	27	97

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x (+.f64 #s(literal 2 binary64) x))
x
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(fma.f64 y y (*.f64 x x))
y
(*.f64 x x)
x

Outputs
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x (+.f64 #s(literal 2 binary64) x))
x
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
y
(*.f64 x x)
x

localize120.0ms (3.3%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x x))
	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)

Results

110.0ms

256×

valid

Compiler

Compiled 29 to 9 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 92.0ms (94.8% of total)

ival-fma: 3.0ms (3.1% of total)

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

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (fma.f64 y y (*.f64 x x))>

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

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(+ (* y y) (* x x))
0.0ms	x	@	-inf	(+ (* y y) (* x x))
0.0ms	x	@	inf	(+ (* y y) (* x x))
0.0ms	y	@	-inf	(+ (* y y) (* x x))
0.0ms	y	@	0	(+ (* y y) (* x x))

rewrite74.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

399×	`log1p-expm1-u`
399×	`expm1-log1p-u`
384×	`add-exp-log`
375×	`unpow-prod-down`
368×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	106	29
2	1146	29

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(fma.f64 y y (*.f64 x x))

Outputs
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))) #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y)))))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)))

simplify157.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg`
421×	`associate-/r*`
367×	`times-frac`
347×	`fma-define`
290×	`associate-r`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	173	2368
1	296	2140
2	579	2140
3	1408	2140
4	3905	2128
5	7963	2128

Stop Event

1×	node limit

Counts

85 → 76

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x x)
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))) #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y)))))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)))

Outputs
(pow.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) #s(literal 4 binary64)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (fabs.f64 (exp.f64 x))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x)))) (sqrt.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)))
(*.f64 x #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 1/3 binary64)))
(*.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (log.f64 (E.f64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))
(*.f64 (hypot.f64 x y) (hypot.f64 x y))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))))
(.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 x y)))
(*.f64 (cbrt.f64 (hypot.f64 x y)) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 5/2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64)) #s(literal 3 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))) #s(literal 2 binary64)))) (cbrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))) (sqrt.f64 (.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y)))))
(sqrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 x y))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 x y)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x y)) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))

eval22.0ms (0.6%)

Compiler: Compiled 2098 to 498 computations (76.3% saved)

prune77.0ms (2.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	200	8	208

Accuracy

100.0%

Counts

208 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.9%	(fma.f64 y y (*.f64 x x))
✓	99.6%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	79.9%	(+.f64 (.f64 x x) (.f64 y y))
✓	64.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	61.9%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	42.6%	(*.f64 x x)
✓	22.7%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 67 to 42 computations (37.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x x)
x

Outputs
(*.f64 x x)
x

localize12.0ms (0.3%)

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 x x)

Results

8.0ms

256×

valid

Compiler

Compiled 7 to 4 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (80.3% of total)

const: 0.0ms (0% of total)

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

eval53.0ms (1.5%)

Compiler: Compiled 72 to 35 computations (51.4% saved)

prune10.0ms (0.3%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	13	8	21

Accuracy

100.0%

Counts

21 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.9%	(fma.f64 y y (*.f64 x x))
✓	99.6%	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	79.9%	(+.f64 (.f64 x x) (.f64 y y))
✓	64.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	61.9%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	42.6%	(*.f64 x x)
✓	22.7%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 128 to 60 computations (53.1% saved)

regimes69.0ms (1.9%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))

Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))

Calls

5 calls:

54.0ms	y
4.0ms	x
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(*.f64 y y)
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes139.0ms (3.8%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
(fma.f64 y y (*.f64 x x))

Outputs
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))

Calls

5 calls:

126.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
3.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))`
100.0%	1	`(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes8.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(+.f64 (.f64 x x) (.f64 y y))

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

Calls

3 calls:

3.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
99.7%	3	`x`
98.4%	2	`y`
98.4%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))

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

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
93.7%	3	`x`
82.5%	2	`y`
82.5%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.9%	1	`y`
61.9%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
61.8%	3	`x`
50.2%	4	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
22.7%	1	`y`
22.7%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch10.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	6.454340966976946e-163	1.7559628509543543e-161

Results

6.0ms

112×

valid

Compiler

Compiled 130 to 89 computations (31.5% saved)

Precisions

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

ival-mult: 2.0ms (66.7% of total)

ival-add: 1.0ms (33.3% of total)

const: 0.0ms (0% of total)

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

bsearch47.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.5378850195175575e+47	2.4912136186043813e+48
36.0ms	-58953083.082382314	-38.64781677582554

Results

37.0ms

240×

valid

Compiler

Compiled 276 to 195 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.1% of total)

ival-add: 2.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

bsearch71.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	2.1982617491169094e-9	1.957275267871535e+20
13.0ms	-4.865069658214246e-16	-5.288296711399978e-23

Results

58.0ms

320×

valid

Compiler

Compiled 258 to 192 computations (25.6% saved)

Precisions

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

ival-mult: 7.0ms (66% of total)

ival-add: 3.0ms (28.3% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`*-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	308
1	50	308

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 1874170850202597/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 x x) (.f64 y y)))
(if (<=.f64 x #s(literal -58000 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 679999999999999964911462538966468844519948288000 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 x x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(if (<=.f64 x #s(literal -4867778304876401/10141204801825835211973625643008 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) x)

Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 1874170850202597/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 x x) (.f64 y y)))
(if (<=.f64 (.f64 y y) #s(literal 1874170850202597/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 (.f64 y y) (.f64 x x)))
(if (<=.f64 x #s(literal -58000 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 679999999999999964911462538966468844519948288000 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 x x)))
(if (<=.f64 x #s(literal -58000 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 679999999999999964911462538966468844519948288000 binary64)) (+.f64 (.f64 y y) (.f64 x #s(literal 2 binary64))) (.f64 x x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -4867778304876401/10141204801825835211973625643008 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(if (or (<=.f64 x #s(literal -4867778304876401/10141204801825835211973625643008 binary64)) (not (<=.f64 x #s(literal 2 binary64)))) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

soundness246.0ms (6.8%)

Rules

1083×	`log1p-expm1-u`
1083×	`expm1-log1p-u`
783×	`fma-define`
639×	`fma-neg`
506×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	259	138
2	3073	138
0	27	283
1	79	247
2	257	239
3	805	239
4	1708	239
5	2376	239
6	2590	239
7	2607	239

Stop Event

1×	done
1×	saturated
1×	node limit

Compiler

Compiled 141 to 50 computations (64.5% saved)

preprocess52.0ms (1.4%)

Remove: (abs y)
Compiler: Compiled 298 to 134 computations (55% saved)

analyze0.0ms (0%)

sample853.0ms (23.5%)

preprocess96.0ms (2.6%)

explain136.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.3%)

localize44.0ms (1.2%)

series14.0ms (0.4%)

rewrite287.0ms (7.9%)

simplify246.0ms (6.8%)

eval36.0ms (1%)

prune40.0ms (1.1%)

simplify14.0ms (0.4%)

localize122.0ms (3.4%)

series9.0ms (0.2%)

rewrite139.0ms (3.8%)

simplify267.0ms (7.4%)

eval49.0ms (1.4%)

prune54.0ms (1.5%)

simplify7.0ms (0.2%)

localize120.0ms (3.3%)

series2.0ms (0.1%)

rewrite74.0ms (2%)

simplify157.0ms (4.3%)

eval22.0ms (0.6%)

prune77.0ms (2.1%)

simplify6.0ms (0.2%)

localize12.0ms (0.3%)

eval53.0ms (1.5%)

prune10.0ms (0.3%)

regimes69.0ms (1.9%)

regimes139.0ms (3.8%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes11.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch47.0ms (1.3%)

bsearch71.0ms (2%)

simplify6.0ms (0.2%)

soundness246.0ms (6.8%)

preprocess52.0ms (1.4%)

end0.0ms (0%)

Profiling