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)

sample1.4s (34.8%)

Results

892.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 691.0ms

ival-mult: 467.0ms (67.6% of total)

ival-add: 211.0ms (30.5% of total)

const: 10.0ms (1.4% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess114.0ms (2.9%)

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)

explain113.0ms (2.8%)

FPErrors

Click to see full error table

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

Results

41.0ms

512×

valid

Compiler

Compiled 79 to 26 computations (67.1% saved)

Precisions

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

ival-mult: 12.0ms (67.9% of total)

ival-add: 5.0ms (28.3% of total)

const: 1.0ms (5.7% 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
▶	100.0%	(+.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)

localize66.0ms (1.6%)

Algorithm

2×	egg-herbie

Localize:

Found 16 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))
✓	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	100.0%	(+.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 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	22	84
2	35	84
3	46	84
4	50	84
0	13	101
1	22	97
2	39	97
3	47	97

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

Call 2

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

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

Results

35.0ms

256×

valid

Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions

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

ival-add: 10.0ms (59.9% of total)

ival-mult: 7.0ms (41.9% of total)

const: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Counts

8 → 114

Calls

Call 1

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

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 (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 (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 #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 (*.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 (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))))))>
#<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))>

Calls

30 calls:

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

rewrite334.0ms (8.4%)

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

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 (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))))
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(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)))
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(*.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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (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)))

simplify333.0ms (8.3%)

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	1001	16417
2	2981	14768

Stop Event

1×	node limit

Counts

483 → 301

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))))
(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))))
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(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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (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)))

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

eval90.0ms (2.2%)

Compiler: Compiled 4884 to 844 computations (82.7% saved)

prune132.0ms (3.3%)

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))))
✓	100.0%	(+.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))
▶	82.6%	(+.f64 (.f64 x x) (.f64 y y))
▶	66.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize224.0ms (5.6%)

Algorithm

3×	egg-herbie

Localize:

Found 18 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))
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
	accuracy	100.0%	(*.f64 y y)
	accuracy	100.0%	(*.f64 x x)
	accuracy	100.0%	(*.f64 y y)
	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))

Rules

14×	`fma-define`
5×	`+-commutative`
4×	`associate-+r+`
3×	`associate-+l+`
3×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	15	56
2	17	56
0	10	61
1	13	61
2	14	61
0	12	71
1	21	71
2	29	71
3	41	71
4	50	71

Stop Event

1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(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
(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)

Call 2

Inputs
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

Outputs
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y

Call 3

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

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

Results

166.0ms

256×

valid

Compiler

Compiled 53 to 12 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-fma: 138.0ms (92.4% of total)

ival-mult: 7.0ms (4.7% of total)

ival-add: 3.0ms (2% of total)

const: 0.0ms (0% of total)

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

series7.0ms (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 (*.f64 x (+.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 x #s(literal 2 binary64))>
#<alt (fma.f64 y y (*.f64 x (+.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 #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))))>
#<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))))>

Calls

24 calls:

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

rewrite141.0ms (3.5%)

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

simplify206.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-/l*`
388×	`cancel-sign-sub-inv`
326×	`fma-neg`
264×	`associate-/r*`
196×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	517	9557
1	1129	9104
2	3012	8956
3	7970	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 #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))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.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 (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)))
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(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))
(+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 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 (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 (hypot.f64 x (sqrt.f64 (.f64 x #s(literal 2 binary64))))) (hypot.f64 y (hypot.f64 x (sqrt.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 3 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 (pow.f64 y #s(literal 2 binary64)) (.f64 x (+.f64 x #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)))))
(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 (hypot.f64 x (sqrt.f64 (*.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))))))
(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 (+.f64 x #s(literal 2 binary64))) x)))
(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 (+.f64 x #s(literal 2 binary64))) x) (exp.f64 (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x #s(literal 2 binary64))) x) (+.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)))

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)))
(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)) (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 y #s(literal 2 binary64))
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(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))))))
(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)))
(expm1.f64 (log1p.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)))
(log1p.f64 (expm1.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)))
(exp.f64 (log.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)))
(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 (+.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 2 binary64)))

eval51.0ms (1.3%)

Compiler: Compiled 4597 to 916 computations (80.1% saved)

prune53.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	350	6	356

Accuracy

100.0%

Counts

356 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(+.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))
✓	82.6%	(+.f64 (.f64 x x) (.f64 y y))
✓	66.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
▶	18.3%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 55 to 35 computations (36.4% saved)

localize40.0ms (1%)

Algorithm

2×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) x)

Rules

2×	`fma-define`
1×	`fma-undefine`
1×	`*-commutative`
1×	`+-commutative`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	8	15
0	11	43
1	14	43
2	15	43
3	17	43

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Results

20.0ms

256×

valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (43.8% of total)

ival-fma: 3.0ms (43.8% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

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

Outputs
#<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 (*.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))))>

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(+ (* y y) (* x 2))
0.0ms	y	@	-inf	(+ (* y y) (* x 2))
0.0ms	x	@	-inf	(+ (* y y) (* x 2))
0.0ms	x	@	inf	(+ (* y y) (* x 2))
0.0ms	y	@	0	(+ (* y y) (* x 2))

rewrite72.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`log1p-expm1-u`
342×	`expm1-log1p-u`
330×	`add-exp-log`
318×	`add-log-exp`
313×	`add-cube-cbrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	107	34
2	960	31

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

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

simplify159.0ms (4%)

Algorithm

1×	egg-herbie

Rules

644×	`prod-exp`
571×	`times-frac`
322×	`fma-define`
305×	`fma-neg`
251×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	2336
1	320	2287
2	810	2264
3	3682	2262
4	7614	2262

Stop Event

1×	node limit

Counts

86 → 81

Calls

Call 1

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

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

eval46.0ms (1.1%)

Compiler: Compiled 1105 to 257 computations (76.7% saved)

prune42.0ms (1.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	95	6	101

Accuracy

100.0%

Counts

101 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.7%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(+.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))
✓	82.6%	(+.f64 (.f64 x x) (.f64 y y))
✓	66.7%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	18.3%	(*.f64 #s(literal 2 binary64) x)

Compiler

Compiled 108 to 53 computations (50.9% saved)

regimes15.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
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	y
2.0ms	(*.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)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.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))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	3	`x`
82.6%	1	`y`
82.6%	1	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes6.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
66.7%	1	`y`
66.7%	1	`(*.f64 y y)`
66.7%	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% 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
18.3%	1	`y`
18.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch35.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.020389164458402585	201525.02505589495
10.0ms	-473.24413469261464	-20.938565529246826

Results

25.0ms

256×

valid

Compiler

Compiled 338 to 220 computations (34.9% saved)

Precisions

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

ival-mult: 5.0ms (64.5% of total)

ival-add: 2.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	211
1	39	211

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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))
(if (<=.f64 x #s(literal -21 binary64)) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(*.f64 #s(literal 2 binary64) 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))
(+.f64 (.f64 y y) (.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -21 binary64)) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x #s(literal 2 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (or (<=.f64 x #s(literal -21 binary64)) (not (<=.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

soundness114.0ms (2.8%)

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×	done
1×	saturated

Compiler

Compiled 77 to 30 computations (61% saved)

preprocess169.0ms (4.2%)

Remove: (abs y)
Compiler: Compiled 292 to 150 computations (48.6% saved)

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

analyze0.0ms (0%)

sample1.4s (34.8%)

preprocess114.0ms (2.9%)

explain113.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize66.0ms (1.6%)

series16.0ms (0.4%)

rewrite334.0ms (8.4%)

simplify333.0ms (8.3%)

eval90.0ms (2.2%)

prune132.0ms (3.3%)

localize224.0ms (5.6%)

series7.0ms (0.2%)

rewrite141.0ms (3.5%)

simplify206.0ms (5.2%)

eval51.0ms (1.3%)

prune53.0ms (1.3%)

localize40.0ms (1%)

series7.0ms (0.2%)

rewrite72.0ms (1.8%)

simplify159.0ms (4%)

eval46.0ms (1.1%)

prune42.0ms (1.1%)

regimes15.0ms (0.4%)

regimes7.0ms (0.2%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch35.0ms (0.9%)

simplify4.0ms (0.1%)

soundness114.0ms (2.8%)

preprocess169.0ms (4.2%)

end0.0ms (0%)

Profiling