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)

sample1.0s (24.4%)

Results

730.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult: 240.0ms (65.7% of total)

ival-add: 111.0ms (30.4% of total)

const: 11.0ms (3% of total)

backward-pass: 3.0ms (0.8% of total)

Bogosity

preprocess98.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

645×	`fmm-def`
524×	`fma-define`
92×	`sub-neg`
78×	`associate-+l-`
74×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	283
1	79	247
2	257	239
3	805	239
4	1716	239
5	2389	239
6	2615	239
7	2632	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 x (-.f64 #s(literal -2 binary64) x)) (.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)

explain190.0ms (4.6%)

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

39.0ms

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 (67.6% of total)

ival-add: 5.0ms (28.2% of total)

const: 1.0ms (5.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 13 computations (38.1% saved)

localize119.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	149
1	25	149
2	38	149
3	49	149
4	53	149

Stop Event

1×

saturated

Calls

Call 1

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

Results

97.0ms

256×

valid

Compiler

Compiled 43 to 10 computations (76.7% saved)

Precisions

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

ival-add: 6.0ms (36.8% of total)

ival-mult: 6.0ms (36.8% of total)

<compiled-spec>: 3.0ms (18.4% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Counts

6 → 90

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite386.0ms (9.4%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`log1p-expm1-u`
863×	`expm1-log1p-u`
398×	`fma-define`
363×	`log-prod`
189×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	109
1	204	109
2	2432	109

Stop Event

1×	node limit

Counts

6 → 289

Calls

Call 1

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

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

simplify261.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-lft-in`
590×	`distribute-rgt-in`
311×	`cancel-sign-sub-inv`
291×	`fmm-def`
206×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	13881
1	977	13212
2	2796	11287

Stop Event

1×	node limit

Counts

379 → 245

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

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

eval47.0ms (1.1%)

Compiler: Compiled 3987 to 743 computations (81.4% saved)

prune170.0ms (4.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	260	4	264
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	261	5	266

Accuracy

100.0%

Counts

266 → 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%	(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
▶	85.6%	(+.f64 (.f64 x x) (.f64 y y))
▶	66.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
▶	54.5%	(*.f64 x (+.f64 #s(literal 2 binary64) x))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize156.0ms (3.8%)

Algorithm

1×	egg-herbie

Localize:

Found 22 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))
	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 #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 x (+.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
	accuracy	100.0%	(+.f64 #s(literal 2 binary64) x)
	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 2 binary64) x))

Rules

13×	`fma-define`
4×	`+-commutative`
2×	`associate-+r+`
2×	`*-commutative`
2×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	222
1	30	222
2	39	222
3	43	222
4	46	222

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

54.0ms

256×

valid

Compiler

Compiled 63 to 14 computations (77.8% saved)

Precisions

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

ival-mult: 11.0ms (51.8% of total)

ival-add: 6.0ms (28.3% of total)

<compiled-spec>: 4.0ms (18.8% of total)

const: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Counts

7 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite196.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	127
1	241	122
2	3336	119

Stop Event

1×	node limit

Counts

7 → 267

Calls

Call 1

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

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

simplify260.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

457×	`associate-/l*`
452×	`cancel-sign-sub-inv`
420×	`fmm-def`
278×	`associate-/r*`
215×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	572	10339
1	1209	9866
2	3478	9722

Stop Event

1×	node limit

Counts

387 → 334

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

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

eval62.0ms (1.5%)

Compiler: Compiled 6233 to 1103 computations (82.3% saved)

prune67.0ms (1.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	485	4	489
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	486	8	494

Accuracy

100.0%

Counts

494 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.6%	(fma.f64 y y (*.f64 x x))
▶	66.5%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
✓	85.6%	(+.f64 (.f64 x x) (.f64 y y))
✓	66.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	54.5%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	40.5%	(*.f64 x x)
▶	17.3%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 61 to 38 computations (37.7% saved)

localize54.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	123
1	17	123
2	19	123
3	22	123

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

28.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

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

ival-mult: 8.0ms (43.9% of total)

<compiled-spec>: 7.0ms (38.4% of total)

ival-add: 3.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

2 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite81.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log1p-expm1-u`
491×	`expm1-log1p-u`
473×	`add-exp-log`
443×	`unpow-prod-down`
440×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	126	43
2	1386	40

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify110.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

755×	`times-frac`
417×	`associate-+r+`
398×	`unswap-sqr`
349×	`associate-r`
329×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3512
1	419	3253
2	1022	3240
3	4046	3240

Stop Event

1×	node limit

Counts

122 → 119

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

eval25.0ms (0.6%)

Compiler: Compiled 2184 to 452 computations (79.3% saved)

prune43.0ms (1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	193	8	201

Accuracy

100.0%

Counts

201 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.6%	(fma.f64 y y (*.f64 x x))
✓	66.5%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
✓	85.6%	(+.f64 (.f64 x x) (.f64 y y))
✓	66.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	54.5%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	40.5%	(*.f64 x x)
✓	17.3%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 136 to 57 computations (58.1% saved)

regimes78.0ms (1.9%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

61.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
4.0ms	y
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
4.0ms	x
4.0ms	(*.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)

regimes38.0ms (0.9%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))
4.0ms	y
4.0ms	x
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(*.f64 y y)

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes21.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	x
5.0ms	(*.f64 y y)
3.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	y
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes8.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(+.f64 (.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:

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

Results

Accuracy	Segments	Branch
99.7%	3	`x`
97.4%	2	`y`
97.4%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes9.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
2.0ms	x
2.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
84.0%	2	`y`
84.0%	2	`(*.f64 y y)`
92.8%	3	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
54.5%	1	`y`
54.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
54.2%	3	`x`
40.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
17.3%	1	`y`
17.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch26.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.312968477509325e-8	0.0029394413857513025
9.0ms	-157628997291.75494	-27215050275.410694

Results

16.0ms

240×

valid

Compiler

Compiled 318 to 207 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (71.3% of total)

ival-add: 2.0ms (20.4% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.94819585464587e+39	1.3107083415443759e+42
4.0ms	-2.1589194832303666e+96	-1.825032012988432e+96

Results

13.0ms

176×

valid

Compiler

Compiled 210 to 149 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (67.8% of total)

ival-add: 2.0ms (33.9% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0029394413857513025	8341753713.157507
15.0ms	-0.012729462860959485	-1.7134703069026914e-11

Results

23.0ms

304×

valid

Compiler

Compiled 246 to 183 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (76.1% of total)

ival-add: 3.0ms (20.8% of total)

const: 0.0ms (0% of total)

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	360
1	55	360

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(if (<=.f64 x #s(literal -27500000000 binary64)) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x #s(literal 208967022709991/72057594037927936 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 14500000000000000863613778084275528138752 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 x (+.f64 #s(literal 2 binary64) x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(if (<=.f64 x #s(literal -3602879701896397/288230376151711744 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 x #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))
(+.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 -27500000000 binary64)) (+.f64 (.f64 x x) (.f64 y y)) (if (<=.f64 x #s(literal 208967022709991/72057594037927936 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y))))
(if (or (<=.f64 x #s(literal -27500000000 binary64)) (not (<=.f64 x #s(literal 208967022709991/72057594037927936 binary64)))) (+.f64 (.f64 y y) (.f64 x x)) (+.f64 (.f64 y y) (.f64 x #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 14500000000000000863613778084275528138752 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 x (+.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -1849999999999999955887295562167900350671804751830274692402817979373850325468464830742747714420736 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 14500000000000000863613778084275528138752 binary64)) (+.f64 (.f64 y y) (.f64 x #s(literal 2 binary64))) (.f64 x (+.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -3602879701896397/288230376151711744 binary64)) (.f64 x x) (if (<=.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(if (or (<=.f64 x #s(literal -3602879701896397/288230376151711744 binary64)) (not (<=.f64 x #s(literal 2 binary64)))) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

soundness445.0ms (10.8%)

Rules

863×	`log1p-expm1-u`
863×	`expm1-log1p-u`
650×	`distribute-lft-in`
645×	`fmm-def`
590×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	283
1	79	247
2	257	239
3	805	239
4	1716	239
5	2389	239
6	2615	239
7	2632	239
0	444	13881
1	977	13212
2	2796	11287
0	15	109
1	204	109
2	2432	109

Stop Event

1×	done
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 279 to 99 computations (64.5% saved)

preprocess55.0ms (1.3%)

Remove: (abs y)
Compiler: Compiled 344 to 156 computations (54.7% saved)

analyze0.0ms (0%)

sample1.0s (24.4%)

preprocess98.0ms (2.4%)

explain190.0ms (4.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize119.0ms (2.9%)

series7.0ms (0.2%)

rewrite386.0ms (9.4%)

simplify261.0ms (6.4%)

eval47.0ms (1.1%)

prune170.0ms (4.1%)

localize156.0ms (3.8%)

series8.0ms (0.2%)

rewrite196.0ms (4.8%)

simplify260.0ms (6.3%)

eval62.0ms (1.5%)

prune67.0ms (1.6%)

localize54.0ms (1.3%)

series2.0ms (0.1%)

rewrite81.0ms (2%)

simplify110.0ms (2.7%)

eval25.0ms (0.6%)

prune43.0ms (1%)

regimes78.0ms (1.9%)

regimes38.0ms (0.9%)

regimes21.0ms (0.5%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch26.0ms (0.6%)

bsearch25.0ms (0.6%)

bsearch35.0ms (0.8%)

simplify6.0ms (0.2%)

soundness445.0ms (10.8%)

preprocess55.0ms (1.3%)

end0.0ms (0%)

Profiling