Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

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 10 to 7 computations (30% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

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

sample887.0ms (14.1%)

Results

699.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 370.0ms

ival-mult: 196.0ms (52.9% of total)

ival-add: 160.0ms (43.2% of total)

const: 11.0ms (3% of total)

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

Bogosity

preprocess72.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

250×	`fma-define`
95×	`fma-neg`
78×	`associate-r`
62×	`distribute-lft-in`
56×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	204
1	74	176
2	217	176
3	547	176
4	826	176
5	1066	176
6	1148	176
7	1154	176

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y))))
(neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y)))))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x x)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 x (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 y) (neg.f64 y)))))
(.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 x (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(.f64 x (-.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 y (+.f64 #s(literal 1 binary64) (.f64 x x)))
(*.f64 y (fma.f64 x x #s(literal 1 binary64)))

Symmetry

(abs y)

(negabs x)

explain62.0ms (1%)

FPErrors

Click to see full error table

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

Results

34.0ms

512×

valid

Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (73% of total)

ival-add: 3.0ms (24.3% of total)

const: 1.0ms (8.1% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 y y))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	cost-diff	0	(*.f64 y y)

Rules

13×	`fma-define`
7×	`associate-r`
7×	`associate-l`
5×	`*-commutative`
4×	`*-rgt-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	25	61
2	38	61
3	65	61
4	69	61
5	71	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 y y)
y

localize24.0ms (0.4%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 y y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Results

17.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-mult: 5.0ms (74.9% of total)

ival-add: 1.0ms (15% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* x (+ 1 (* y y)))
1.0ms	x	@	-inf	(* x (+ 1 (* y y)))
0.0ms	x	@	inf	(* x (+ 1 (* y y)))
0.0ms	y	@	inf	(* y y)
0.0ms	y	@	0	(* y y)

rewrite206.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
477×	`unpow-prod-down`
446×	`pow1`
282×	`prod-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	127	49
2	1578	49

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs
(*.f64 y y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 y y))

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

simplify109.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

436×	`associate-r`
433×	`fma-define`
407×	`exp-prod`
389×	`distribute-lft-neg-in`
230×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	4364
1	646	4318
2	1381	4287
3	4856	4287

Stop Event

1×	node limit

Counts

186 → 171

Calls

Call 1

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

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

eval89.0ms (1.4%)

Compiler: Compiled 2099 to 482 computations (77% saved)

prune28.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	7	172

Accuracy

100.0%

Counts

172 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.9%	(fma.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x) x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	99.3%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
▶	64.2%	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
✓	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
▶	80.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
▶	51.5%	x

Compiler

Compiled 121 to 78 computations (35.5% saved)

simplify162.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	cost-diff	6464	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
✓	cost-diff	-6400	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	cost-diff	320	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
✓	cost-diff	0	(pow.f64 y #s(literal 6 binary64))
✓	cost-diff	128	(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
✓	cost-diff	6400	(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
✓	cost-diff	6464	(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
✓	cost-diff	-6336	(fma.f64 (*.f64 x y) y x)
✓	cost-diff	0	(*.f64 x y)

Rules

1790×	`fma-define`
932×	`cube-prod`
464×	`fabs-mul`
455×	`associate-*r/`
385×	`cube-div`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	26	308
1	57	308
2	96	296
3	183	296
4	374	296
5	1310	296
6	3012	296
7	4007	296
8	4702	283
9	5222	283
10	5917	283
11	6740	283
12	7605	283

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 x y)
x
y
x
(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
(fma.f64 y y #s(literal 1 binary64))
#s(literal 1 binary64)
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 y #s(literal 6 binary64))
y
#s(literal 6 binary64)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(pow.f64 y #s(literal 2 binary64))
(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
y
#s(literal 2 binary64)
(+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))))
x
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
(fma.f64 (*.f64 x y) y x)
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(fma.f64 x (pow.f64 y #s(literal 2 binary64)) x)
(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 x)
x
#s(literal 2 binary64)

localize202.0ms (3.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	accuracy	99.4%	(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 y #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))))
✓	accuracy	88.4%	(/.f64 x (pow.f64 y #s(literal 2 binary64)))
✓	accuracy	65.1%	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
✓	accuracy	100.0%	(pow.f64 y #s(literal 6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))
✓	accuracy	91.9%	(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
✓	accuracy	66.7%	(cbrt.f64 (pow.f64 y #s(literal 6 binary64)))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 (*.f64 x y) y x)

Results

178.0ms

256×

valid

Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-sqrt: 107.0ms (74.6% of total)

ival-pow: 14.0ms (9.8% of total)

ival-mult: 8.0ms (5.6% of total)

ival-hypot: 4.0ms (2.8% of total)

ival-add: 3.0ms (2.1% of total)

ival-fma: 3.0ms (2.1% of total)

ival-div: 2.0ms (1.4% of total)

ival-cbrt: 2.0ms (1.4% of total)

const: 1.0ms (0.7% of total)

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

series30.0ms (0.5%)

Counts

14 → 172

Calls

Call 1

Inputs
#<alt (*.f64 x y)>
#<alt (fma.f64 (*.f64 x y) y x)>
#<alt (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64))))>
#<alt (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))>
#<alt (pow.f64 y #s(literal 6 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 2 binary64))>
#<alt (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))>
#<alt (hypot.f64 #s(literal 1 binary64) y)>
#<alt (sqrt.f64 x)>

Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 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 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))>
#<alt x>
#<alt x>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))>
#<alt (+.f64 (sqrt.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 x) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 1/8 binary64))))))>
#<alt y>
#<alt (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>

Calls

66 calls:

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

rewrite194.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`log1p-expm1-u`
839×	`expm1-log1p-u`
156×	`add-cube-cbrt`
154×	`add-exp-log`
152×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	283
1	382	253
2	5236	253

Stop Event

1×	node limit

Counts

14 → 412

Calls

Call 1

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

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

simplify272.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

561×	`associate-r`
523×	`associate-l`
504×	`fma-neg`
331×	`prod-exp`
305×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	707	17319
1	1503	16395
2	5551	16242

Stop Event

1×	node limit

Counts

584 → 458

Calls

Call 1

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

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

eval124.0ms (2%)

Compiler: Compiled 6969 to 1488 computations (78.6% saved)

prune61.0ms (1%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	454	5	459
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	457	9	466

Accuracy

100.0%

Counts

466 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) y x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
▶	51.6%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	64.5%	(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
▶	91.4%	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
▶	99.1%	(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
✓	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	80.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
✓	51.5%	x

Compiler

Compiled 170 to 98 computations (42.4% saved)

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 #s(literal 1 binary64) y)
	cost-diff	0	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	cost-diff	6656	(.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
✓	cost-diff	39040	(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
✓	cost-diff	6592	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 (sqrt.f64 x) y)
✓	cost-diff	6400	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	cost-diff	-5888	(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(cbrt.f64 (*.f64 x y))
✓	cost-diff	6528	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) y x)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))

Rules

1336×	`fma-define`
610×	`distribute-lft-out`
539×	`times-frac`
403×	`associate-/r/`
342×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	517
1	77	501
2	157	461
3	342	461
4	664	461
5	2310	461
6	4565	461
7	6234	461
8	7580	461

Stop Event

1×	node limit

Calls

Call 1

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

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

localize138.0ms (2.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
	accuracy	99.8%	(*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
✓	accuracy	99.6%	(.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
✓	accuracy	99.6%	(.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
✓	accuracy	93.4%	(sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
✓	accuracy	100.0%	(fma.f64 y y #s(literal 1 binary64))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	96.6%	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))
✓	accuracy	94.8%	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.7%	(*.f64 (sqrt.f64 x) y)
✓	accuracy	99.6%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
✓	accuracy	65.1%	(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.9%	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) y x)
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
✓	accuracy	75.3%	(cbrt.f64 (*.f64 x y))

Results

89.0ms

256×

valid

Compiler

Compiled 168 to 27 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 15.0ms (31.4% of total)

ival-pow: 10.0ms (20.9% of total)

ival-fma: 6.0ms (12.6% of total)

ival-div: 4.0ms (8.4% of total)

ival-hypot: 4.0ms (8.4% of total)

ival-sqrt: 4.0ms (8.4% of total)

ival-cbrt: 2.0ms (4.2% of total)

ival-add: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

series231.0ms (3.7%)

Counts

16 → 288

Calls

Call 1

Inputs
#<alt (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))>
#<alt (fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) y x)>
#<alt (cbrt.f64 (*.f64 x y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 x y)>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))))>
#<alt (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))>
#<alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (sqrt.f64 x))>
#<alt (fma.f64 y y #s(literal 1 binary64))>
#<alt (.f64 (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))>
#<alt (.f64 (.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))>
#<alt (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)))>
#<alt (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))>

Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 y (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (*.f64 x y)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
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#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -3/32 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 5/128 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 3/4 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (log.f64 x)))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (log.f64 x)))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (log.f64 x)))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 3 binary64) (log.f64 x)))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal -3 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
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#<alt x>
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#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (+.f64 (.f64 #s(literal -3/32 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 7/128 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) y)))))) (pow.f64 y #s(literal 2 binary64)))))))>
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#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (+.f64 (.f64 #s(literal -3/32 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)))))) (pow.f64 y #s(literal 2 binary64))))))>
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#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 x) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
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#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))>

Calls

90 calls:

Time	Variable		Point	Expression
138.0ms	x	@	0	(* (* (sqrt (+ (* 1 1) (* y y))) (sqrt x)) (sqrt (* (sqrt (+ (* 1 1) (* y y))) (sqrt x))))
16.0ms	x	@	0	(sqrt (* (sqrt (+ (* 1 1) (* y y))) (sqrt x)))
9.0ms	x	@	inf	(sqrt (* (sqrt (+ (* 1 1) (* y y))) (sqrt x)))
8.0ms	x	@	inf	(* (* (sqrt (+ (* 1 1) (* y y))) (sqrt x)) (sqrt (* (sqrt (+ (* 1 1) (* y y))) (sqrt x))))
6.0ms	x	@	inf	(cbrt (* x y))

rewrite507.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1027×	`log1p-expm1-u`
260×	`associate-r`
211×	`expm1-log1p-u`
206×	`add-exp-log`
204×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	383
1	521	353
2	6482	353

Stop Event

1×	node limit

Counts

16 → 429

Calls

Call 1

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

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

simplify428.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

350×	`*-commutative`
344×	`fma-neg`
332×	`exp-prod`
308×	`fma-define`
260×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	998	22297
1	2164	20922
2	5219	20912

Stop Event

1×	node limit

Counts

717 → 606

Calls

Call 1

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

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

eval307.0ms (4.9%)

Compiler: Compiled 28624 to 3571 computations (87.5% saved)

prune171.0ms (2.7%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1181	6	1187
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	1184	12	1196

Accuracy

100.0%

Counts

1196 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64)) y x)
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	51.6%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
▶	94.7%	(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))
▶	64.5%	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
	43.7%	(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
▶	47.0%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
▶	51.6%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
▶	51.7%	(.f64 (.f64 x y) y)
✓	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	80.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
✓	51.5%	x

Compiler

Compiled 183 to 117 computations (36.1% saved)

simplify141.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6336	(.f64 (.f64 y (sqrt.f64 x)) y)
	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(*.f64 y (sqrt.f64 x))
✓	cost-diff	6592	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
✓	cost-diff	-6336	(.f64 (.f64 x y) (sqrt.f64 y))
✓	cost-diff	0	(sqrt.f64 y)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	6592	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	cost-diff	-6336	(+.f64 x (/.f64 (/.f64 x y) y))
	cost-diff	0	(/.f64 x y)
	cost-diff	0	(pow.f64 y #s(literal 2 binary64))
✓	cost-diff	320	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
✓	cost-diff	-6336	(.f64 (.f64 x y) y)
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y))
✓	cost-diff	6464	(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
✓	cost-diff	19392	(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))

Rules

995×	`cube-prod`
557×	`fma-define`
528×	`associate-r`
494×	`distribute-lft-out`
483×	`fabs-mul`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	454
1	65	451
2	124	445
3	286	405
4	879	405
5	2784	405
6	4310	405
7	5208	405
8	6085	405
9	6854	405
10	7735	405

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 2 binary64)
(sqrt.f64 x)
(.f64 (.f64 x y) y)
(*.f64 x y)
x
y
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(+.f64 x (/.f64 (/.f64 x y) y))
x
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 x y) (sqrt.f64 y))
(*.f64 x y)
x
y
(sqrt.f64 y)
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(.f64 (.f64 y (sqrt.f64 x)) y)
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(hypot.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(literal 2 binary64)
(sqrt.f64 x)
(.f64 (.f64 x y) y)
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x y)
x
y
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 1 binary64))) (sqrt.f64 x))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
(+.f64 x (/.f64 (/.f64 x y) y))
(+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64))))
x
(/.f64 (/.f64 x y) y)
(/.f64 x (pow.f64 y #s(literal 2 binary64)))
(/.f64 x y)
(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (.f64 x y) (sqrt.f64 y))
(.f64 x (.f64 y (sqrt.f64 y)))
(*.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 x y)
x
y
(sqrt.f64 y)
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(.f64 (.f64 y (sqrt.f64 x)) y)
(.f64 y (.f64 y (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(*.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x

localize219.0ms (3.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(.f64 (.f64 y (sqrt.f64 x)) y)
✓	accuracy	99.7%	(*.f64 y (sqrt.f64 x))
✓	accuracy	93.6%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(sqrt.f64 y)
✓	accuracy	99.8%	(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓	accuracy	99.6%	(.f64 (.f64 x y) (sqrt.f64 y))
	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(+.f64 x (/.f64 (/.f64 x y) y))
✓	accuracy	99.8%	(/.f64 (/.f64 x y) y)
✓	accuracy	65.1%	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.7%	(.f64 (.f64 x y) y)
	accuracy	100.0%	(sqrt.f64 x)
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y))
✓	accuracy	99.4%	(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
✓	accuracy	94.8%	(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))

Results

189.0ms

256×

valid

Compiler

Compiled 131 to 25 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-pow: 73.0ms (46.2% of total)

ival-hypot: 58.0ms (36.7% of total)

ival-mult: 17.0ms (10.8% of total)

ival-div: 4.0ms (2.5% of total)

ival-sqrt: 4.0ms (2.5% of total)

ival-add: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

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

series94.0ms (1.5%)

Counts

14 → 304

Calls

Call 1

Inputs
#<alt (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))>
#<alt (pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y))>
#<alt (pow.f64 x #s(literal 1/4 binary64))>
#<alt (.f64 (.f64 x y) y)>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))>
#<alt (+.f64 x (/.f64 (/.f64 x y) y))>
#<alt (.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (sqrt.f64 y)>
#<alt (.f64 (.f64 x y) (sqrt.f64 y))>
#<alt (.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))>
#<alt (*.f64 y (sqrt.f64 x))>
#<alt (.f64 (.f64 y (sqrt.f64 x)) y)>
#<alt (/.f64 (/.f64 x y) y)>

Outputs
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt x>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)>
#<alt (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))>
#<alt (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt x>
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#<alt (*.f64 x (pow.f64 y #s(literal 2 binary64)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
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#<alt (*.f64 (sqrt.f64 x) y)>
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#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (*.f64 (sqrt.f64 x) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
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#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
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#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
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#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
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#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>
#<alt (/.f64 x (pow.f64 y #s(literal 2 binary64)))>

Calls

78 calls:

Time	Variable		Point	Expression
36.0ms	x	@	0	(* (pow x 1/4) (sqrt (+ (* 1 1) (* y y))))
15.0ms	x	@	-inf	(* (pow x 1/4) (sqrt (+ (* 1 1) (* y y))))
8.0ms	x	@	inf	(* (pow x 1/4) (sqrt (+ (* 1 1) (* y y))))
6.0ms	x	@	-inf	(* (* y (sqrt x)) y)
1.0ms	y	@	-inf	(* (* (* x y) (sqrt y)) (sqrt y))

rewrite231.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`log1p-expm1-u`
350×	`expm1-log1p-u`
245×	`associate-r`
191×	`add-exp-log`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	334
1	480	303
2	5975	303

Stop Event

1×	node limit

Counts

14 → 328

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (hypot.f64 #s(literal 1 binary64) y))
(pow.f64 x #s(literal 1/4 binary64))
(.f64 (.f64 x y) y)
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
(+.f64 x (/.f64 (/.f64 x y) y))
(.f64 (.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(sqrt.f64 y)
(.f64 (.f64 x y) (sqrt.f64 y))
(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
(*.f64 y (sqrt.f64 x))
(.f64 (.f64 y (sqrt.f64 x)) y)
(/.f64 (/.f64 x y) y)

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

simplify498.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

479×	`associate-r`
468×	`fma-neg`
446×	`associate-l`
295×	`exp-prod`
280×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	673	17287
1	1445	16356
2	5133	16236

Stop Event

1×	node limit

Counts

632 → 404

Calls

Call 1

Inputs
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(+.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 2 binary64)))))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y)
(.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))
(.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))))))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
x
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(+.f64 x (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (pow.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y))
(*.f64 (cbrt.f64 y) (cbrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 y #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(fabs.f64 (sqrt.f64 y))
(log.f64 (exp.f64 (sqrt.f64 y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 y))))
(cbrt.f64 (pow.f64 y #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) (log.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (sqrt.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (sqrt.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 x (pow.f64 y #s(literal 2 binary64))))
(fabs.f64 (*.f64 y (sqrt.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 x)) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (sqrt.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (sqrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (log.f64 (*.f64 y (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(.f64 (sqrt.f64 (/.f64 x y)) (.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64)))) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 y)))
(pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) y))
(sqrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64)))

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

eval72.0ms (1.2%)

Compiler: Compiled 9083 to 1847 computations (79.7% saved)

prune121.0ms (1.9%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	591	2	593
Fresh	0	1	1
Picked	2	3	5
Done	1	5	6
Total	594	11	605

Accuracy

100.0%

Counts

605 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x y) y x)
✓	51.6%	(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
	51.3%	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 3 binary64)) y)
✓	64.5%	(*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x (/.f64 (/.f64 x y) y)))
	43.7%	(.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
✓	47.0%	(.f64 (.f64 (*.f64 y (sqrt.f64 x)) y) (sqrt.f64 x))
	48.1%	(.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
✓	51.7%	(.f64 (.f64 x y) y)
✓	91.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
✓	80.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 y #s(literal 6 binary64)))))
✓	51.5%	x

Compiler

Compiled 284 to 127 computations (55.3% saved)

regimes31.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
6.0ms	y
6.0ms	x
5.0ms	(*.f64 y y)
5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	1	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes11.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
x
(.f64 (.f64 x y) y)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
(.f64 (.f64 x y) y)

Calls

5 calls:

3.0ms	(*.f64 y y)
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	x
2.0ms	y
1.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

Accuracy	Segments	Branch
91.9%	1	`x`
99.9%	2	`y`
99.9%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
99.9%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
99.9%	2	`(*.f64 y y)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
x
(.f64 (.f64 x y) y)

Outputs
x
(.f64 (.f64 x y) y)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.2%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
51.5%	1	`x`
51.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.21335293666507e+236	3.4107016017659325e+237

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.06045164263351508	11.431162486569926

Results

10.0ms

112×

valid

Compiler

Compiled 98 to 66 computations (32.7% saved)

Precisions

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

ival-mult: 6.0ms (88.5% of total)

ival-add: 1.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
3×	`*-commutative`
1×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	140
1	33	140

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (.f64 y y) #s(literal 999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 x y) y))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 (.f64 x y) y))
x

Outputs
(fma.f64 (*.f64 x y) y x)
(if (<=.f64 (.f64 y y) #s(literal 999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (*.f64 x y) y))
(if (<=.f64 (.f64 y y) #s(literal 999999999999999940205461314330949157639035769339395563281540824641288164893139324951747214686990494667615328372051330560380424582445502262385046995766402482607793500255578094113131409067638500218263478644773697770829313903654699186257920 binary64)) (.f64 x (+.f64 (.f64 y y) #s(literal 1 binary64))) (.f64 y (*.f64 x y)))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 (.f64 x y) y))
(if (<=.f64 y #s(literal 1 binary64)) x (.f64 y (.f64 x y)))
x

soundness341.0ms (5.4%)

Rules

1027×	`log1p-expm1-u`
535×	`log1p-expm1-u`
535×	`expm1-log1p-u`
477×	`unpow-prod-down`
446×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	383
1	521	353
2	6482	353
0	11	51
1	127	49
2	1578	49

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 185 to 63 computations (65.9% saved)

preprocess80.0ms (1.3%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 270 to 138 computations (48.9% saved)

analyze0.0ms (0%)

sample887.0ms (14.1%)

preprocess72.0ms (1.1%)

explain62.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize24.0ms (0.4%)

series6.0ms (0.1%)

rewrite206.0ms (3.3%)

simplify109.0ms (1.7%)

eval89.0ms (1.4%)

prune28.0ms (0.5%)

simplify162.0ms (2.6%)

localize202.0ms (3.2%)

series30.0ms (0.5%)

rewrite194.0ms (3.1%)

simplify272.0ms (4.3%)

eval124.0ms (2%)

prune61.0ms (1%)

simplify94.0ms (1.5%)

localize138.0ms (2.2%)

series231.0ms (3.7%)

rewrite507.0ms (8.1%)

simplify428.0ms (6.8%)

eval307.0ms (4.9%)

prune171.0ms (2.7%)

simplify141.0ms (2.2%)

localize219.0ms (3.5%)

series94.0ms (1.5%)

rewrite231.0ms (3.7%)

simplify498.0ms (7.9%)

eval72.0ms (1.2%)

prune121.0ms (1.9%)

regimes31.0ms (0.5%)

regimes11.0ms (0.2%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify3.0ms (0%)

soundness341.0ms (5.4%)

preprocess80.0ms (1.3%)

end0.0ms (0%)

Profiling