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 13 to 10 computations (23.1% saved)

sample1.3s (36.7%)

Samples

1.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 617.0ms

ival-mult: 474.0ms (76.8% of total)

ival-add: 129.0ms (20.9% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 5.0ms (0.8% of total)

...in/eval/compile.rkt:70:19: 3.0ms (0.5% of total)

Bogosity

preprocess119.0ms (3.4%)

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)

explain195.0ms (5.6%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

130.0ms

512×

valid

Compiler

Compiled 90 to 36 computations (60% saved)

Precisions

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

ival-mult: 12.0ms (69.5% of total)

ival-add: 4.0ms (23.2% of total)

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

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

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

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	84
1	22	84
2	35	84
3	46	84
4	50	84

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

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

localize27.0ms (0.8%)

Localize:

Found 4 expressions of interest:

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

Samples

19.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-add: 3.0ms (46.7% of total)

ival-mult: 3.0ms (46.7% of total)

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

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

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

series5.0ms (0.1%)

Counts

4 → 54

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite361.0ms (10.3%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`log1p-expm1-u`
773×	`expm1-log1p-u`
640×	`unpow-prod-down`
377×	`fma-define`
349×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	154	69
2	2143	69

Stop Event

1×	node limit

Counts

4 → 214

Calls

Call 1

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

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

simplify166.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

676×	`distribute-lft-in`
646×	`distribute-rgt-in`
309×	`cancel-sign-sub-inv`
306×	`unswap-sqr`
282×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	502	4294976663
1	1066	4294976516
2	2988	4294975262

Stop Event

1×	node limit

Counts

268 → 279

Calls

Call 1

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

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

eval47.0ms (1.3%)

Compiler: Compiled 4 646 to 886 computations (80.9% saved)

prune39.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	276	3	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	276	4	280

Accuracy

100.0%

Counts

280 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
▶	86.0%	(+.f64 (.f64 x x) (.f64 y y))
▶	62.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize48.0ms (1.4%)

Localize:

Found 9 expressions of interest:

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

Samples

33.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

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

ival-mult: 7.0ms (50.2% of total)

ival-add: 4.0ms (28.7% of total)

ival-fma: 2.0ms (14.3% of total)

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

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

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

series8.0ms (0.2%)

Counts

7 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite146.0ms (4.2%)

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

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

simplify156.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

441×	`cancel-sign-sub-inv`
417×	`fmm-def`
365×	`associate-+r+`
326×	`associate-+l+`
214×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	10613
1	1207	10174
2	3463	10032

Stop Event

1×	node limit

Counts

387 → 335

Calls

Call 1

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

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

eval46.0ms (1.3%)

Compiler: Compiled 4 985 to 978 computations (80.4% saved)

prune54.0ms (1.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	378	3	381
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	379	6	385

Accuracy

100.0%

Counts

385 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(fma.f64 y y (*.f64 x x))
▶	62.5%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	86.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	62.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
▶	58.8%	(*.f64 x (+.f64 #s(literal 2 binary64) x))

Compiler

Compiled 52 to 32 computations (38.5% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

6×	`fma-define`
3×	`+-commutative`
2×	`fma-undefine`
2×	`*-commutative`
2×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	125
1	23	125
2	28	125
3	32	125

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

localize40.0ms (1.2%)

Localize:

Found 6 expressions of interest:

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

Samples

28.0ms

256×

valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-mult: 6.0ms (44.3% of total)

ival-fma: 6.0ms (44.3% of total)

ival-add: 2.0ms (14.8% of total)

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

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

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

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 2))
0.0ms	x	@	-inf	(+ (* y y) (* x x))
0.0ms	y	@	0	(+ (* y y) (* x x))
0.0ms	x	@	inf	(+ (* y y) (* x x))
0.0ms	y	@	inf	(+ (* y y) (* x x))

rewrite81.0ms (2.3%)

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)))

simplify92.0ms (2.6%)

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

eval40.0ms (1.2%)

Compiler: Compiled 3 540 to 825 computations (76.7% saved)

prune42.0ms (1.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	292	2	294
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	292	8	300

Accuracy

100.0%

Counts

300 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(fma.f64 y y (*.f64 x x))
✓	62.5%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	86.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	62.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	58.8%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶	46.0%	(*.f64 x x)
▶	15.3%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 62 to 39 computations (37.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x x)
	cost-diff	0	(*.f64 x #s(literal 2 binary64))

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	9	32

Stop Event

1×

saturated

Calls

Call 1

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

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

localize20.0ms (0.6%)

Localize:

Found 2 expressions of interest:

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

Samples

14.0ms

256×

valid

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-mult: 4.0ms (101.2% of total)

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

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

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

eval5.0ms (0.2%)

Compiler: Compiled 254 to 89 computations (65% saved)

prune8.0ms (0.2%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	38	8	46

Accuracy

100.0%

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.0%	(fma.f64 y y (*.f64 x x))
✓	62.5%	(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓	100.0%	(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
✓	86.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	62.5%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y))
✓	58.8%	(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓	46.0%	(*.f64 x x)
✓	15.3%	(*.f64 x #s(literal 2 binary64))

Compiler

Compiled 129 to 57 computations (55.8% saved)

regimes21.0ms (0.6%)

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 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:

6.0ms	x
4.0ms	(*.f64 y y)
4.0ms	y
4.0ms	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x))
3.0ms	(+.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (*.f64 y y))

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)

regimes18.0ms (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:

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

Results

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes8.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.7%	3	`x`
97.5%	2	`y`
97.5%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
89.3%	3	`x`
85.3%	2	`y`
85.3%	2	`(*.f64 y y)`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 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	y
2.0ms	x

Results

Accuracy	Segments	Branch
58.8%	1	`y`
58.8%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (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
57.7%	3	`x`
46.0%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (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:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
15.3%	1	`y`
15.3%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch13.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.921216553205099e-209	8.757873577890649e-203

Samples

7.0ms

144×

valid

Compiler

Compiled 160 to 112 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (59.1% of total)

ival-add: 1.0ms (29.6% of total)

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

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

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

bsearch27.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.822873624726996e+58	1.0840116410009788e+59
15.0ms	-0.0005893392109757533	-9.46442674292051e-8

Samples

15.0ms

208×

valid

Compiler

Compiled 240 to 172 computations (28.3% saved)

Precisions

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

ival-mult: 4.0ms (64.6% of total)

ival-add: 2.0ms (32.3% of total)

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

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

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

bsearch31.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.045490802931115	701.009428639875
13.0ms	-324.4136277647926	-0.0045262244927975395

Samples

20.0ms

272×

valid

Compiler

Compiled 220 to 166 computations (24.5% saved)

Precisions

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

ival-mult: 5.0ms (62.5% of total)

ival-add: 2.0ms (25% of total)

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

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

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	308
1	48	308

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 8810923551169639/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 x x) (.f64 y y)))
(if (<=.f64 x #s(literal -2674777890687885/4611686018427387904 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 42999999999999999117090039288958953488508395287181600489472 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 x x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(if (<=.f64 x #s(literal -2 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))))
(+.f64 (.f64 x (+.f64 #s(literal 2 binary64) x)) (.f64 y y))
(+.f64 (.f64 x (+.f64 x #s(literal 2 binary64))) (.f64 y y))
(if (<=.f64 (.f64 y y) #s(literal 8810923551169639/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (+.f64 (.f64 x x) (.f64 y y)))
(if (<=.f64 (.f64 y y) #s(literal 8810923551169639/11296055834832869987796435368818511453405415647406310098733607723450775321444793999623495683980919987883591461993135986312493187463513563790506212353947784425723184365930864482290528289970814110895029437915338121462939648 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 (.f64 y y) (.f64 x x)))
(if (<=.f64 x #s(literal -2674777890687885/4611686018427387904 binary64)) (.f64 x (+.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 42999999999999999117090039288958953488508395287181600489472 binary64)) (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 y y)) (.f64 x x)))
(if (<=.f64 x #s(literal -2674777890687885/4611686018427387904 binary64)) (.f64 x (+.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 42999999999999999117090039288958953488508395287181600489472 binary64)) (+.f64 (.f64 y y) (.f64 x #s(literal 2 binary64))) (.f64 x x)))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -2 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 -2 binary64)) (not (<=.f64 x #s(literal 2 binary64)))) (.f64 x x) (.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))

soundness234.0ms (6.7%)

Rules

773×	`log1p-expm1-u`
773×	`expm1-log1p-u`
645×	`fmm-def`
640×	`unpow-prod-down`
524×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	154	69
2	2143	69
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×	done
1×	saturated
1×	node limit

Compiler

Compiled 141 to 50 computations (64.5% saved)

preprocess52.0ms (1.5%)

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

analyze0.0ms (0%)

sample1.3s (36.7%)

preprocess119.0ms (3.4%)

explain195.0ms (5.6%)

eval0.0ms (0%)

prune3.0ms (0.1%)

simplify8.0ms (0.2%)

localize27.0ms (0.8%)

series5.0ms (0.1%)

rewrite361.0ms (10.3%)

simplify166.0ms (4.8%)

eval47.0ms (1.3%)

prune39.0ms (1.1%)

simplify10.0ms (0.3%)

localize48.0ms (1.4%)

series8.0ms (0.2%)

rewrite146.0ms (4.2%)

simplify156.0ms (4.5%)

eval46.0ms (1.3%)

prune54.0ms (1.5%)

simplify8.0ms (0.2%)

localize40.0ms (1.2%)

series2.0ms (0.1%)

rewrite81.0ms (2.3%)

simplify92.0ms (2.6%)

eval40.0ms (1.2%)

prune42.0ms (1.2%)

simplify6.0ms (0.2%)

localize20.0ms (0.6%)

eval5.0ms (0.2%)

prune8.0ms (0.2%)

regimes21.0ms (0.6%)

regimes18.0ms (0.5%)

regimes8.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch13.0ms (0.4%)

bsearch27.0ms (0.8%)

bsearch31.0ms (0.9%)

simplify4.0ms (0.1%)

soundness234.0ms (6.7%)

preprocess52.0ms (1.5%)

end0.0ms (0%)

Profiling